Class 12th Physics | Electrostatic Potential & Capacitance ⚡ Super One Shot | By Ashu Sir

Welcome all of you to Ashu Ghai 11th 12th Jahan Pe Main Ashu Ghai giving you heart and mind I teach from both. So welcome all of you In today's one shot, that is, our In a one-shot from the second chapter of Physics electrostatic potential and Capacitance as well as one-by-one derivation So I am going to get it done. one by one too I will not give up derivation. Each derivation I will write it by hand as per your request. Past Forest I had asked in the shot that derivation should be written Should I come or do it manually? You all commented Section said write by hand. So you said So brother, I don't believe this, this cannot happen. So every Writing a derivation by hand. But Keep in mind that this chapter also has questions. I will do it. The question is absolutely the last one 2 hrs 10 mins 2 hrs 20 One Shot Joe Yes, the shoot has been done. After two introductions I am shooting. 2 hours 10 minutes 2 This one shot took around an hour and 20 minutes. Is. After that you will get question answers. So if you want only question answers here If you have come for this then you can skip that part. You can do it. Otherwise I would say don't do this. Watch the entire one shot from start to end and its Later in the last you will get question end Answers. But I'm speaking from the heart One by one we have completed the derivation here. With complete honesty from heart and mind, here It has been done before. So save time. If You feel like you've done this before So skip that. Look brother, the time save. Do smart work too. hard work together with. Something has already been done, If she comes, there is no chance of seeing her again. Does not mean. Skip that. Who If you don't know, work on it. the whole The chapter is brand new for you. So Brother, then start watching from scratch. have to do it. First thing. Secondly, one shot There are questions at the end. For them Make it honestly. Question Subjective There are also. Meaning you are also MCQ type. There are also pass and objective. Both types Of. o MCQ objective so same thing it occurs. You also have subjective questions. and MCQs i.e. objective questions There are also. Some questions are winner series which Winner doesn't know about the series. Heart And it is a book made with the mind. do you want So you can buy the Winner Series because we He is questioned by the same person throughout the year. inside the batch. And here's the thing about paid batches. It has happened. So I will keep telling you about 2.0 from time to time. About 2.0. But the orientation of 2.0 Classes are starting from 12th. you this Watching the video. What is the date today? Today If it is the date then this video should reach you today. Will go. You are watching this video today. If you are looking at the date today then You will have an orientation class on the 12th. It is going to be 2.0, so if you want to join 2.0 If you want, brother, please send me the link of the batch as well. Come down, 40% off is going on, Batch 2.0 I am going to conduct every class live. It is going to be done live, so first we People will do one shot, then derivation and then Later we will ask questions, explosive questions till the end. Wait, yes there will be less questions because one shot Then once the entire one shot It will be settled after that when we feel that Friend, five or six chapters have been completed, you all know. Coming live, we will again discuss these chapters. And many more questions will get you right. hey dun hey dun hey dun hey dun hey There are also competency based questions ahead. We will get the rest of this one shot done, now see which one is first And the second chapter is about both of them. Come to electrostatics. I It was told in the first lecture Electrostatics refers to when We are reading the charge at rest. So both the chapters are of electrostatics. Are. That is, the charge that is going to remain with us He is going to be at rest and we are with him. I will also answer questions. That means I The lecture here after the second chapter I will put the first and second chapters in it. I will make you do combined questions of so that We completely eliminate electrostatics Do it. After that we will come to the third chapter. Then we will come to the fourth chapter. There will come those who that of electrodynamics. That means that Our charge is about to come into motion. Now this The chapter has two parts: Electrostatic Potential and capacitance, both of which very different very different There are things. electrostatic potential is a There is a different fuzz and the capacitance is a different fuzz. This could also have been made into separate chapters. These are so different. But let's come one by one Understand both. Now this capacitance You will not learn this word now. This It will take us at least 1.5 hours to understand. It's 2 hours. Meaning, whatever the forest has given The shot will be recorded. उसका नेक्स्ट हाफ हमारा कैपेसिटेंस होने वाला है। So right now in this There is a delay. So let's talk सीखते आ रहे हैं पोटेंशियल एनर्जी। So when Be the force. इसके अगेंस्ट में काम करते हैं, Potential energy. लेकिन इलेक्ट्रोस्टेटिक What is potential? or potential What is the difference? Come on, let's understand this Are. तो पहले यहां पे दो शब्द आएंगे हमारे Near. एक आएगा पोटेंशियल डिफरेंस और एक Both are similar somewhere. a small सा फर्क है बस इसके अंदर। Come to both I understand. So what is potential difference? Let us suppose we have a positive here. There is charge. Okay, right? We have no one There is a positive charge. Let's charge this q Is. Now you have another charge of q. It is not. And this too is a positive charge from late Is. Okay, right? You can find him in the first chapter. You can also call it test charge with respect. But for now this is any q not charge. Now if this q not charged sits at a point has happened and this q not charge comes at point b goes. So what do you have to do to do this? Will I have to do any work or hard work? So the answer Yes yes. How? This plus charge is here will be producing an electric field towards And repels the plus. You all know Positive repels positive. So if I need to move this charge over here. If so, I have to do some external work. Will have to. have to do it? absolutely do Will have to. So how much work do I do? So How much work do I perform? i.e Work done in moving a positive charge Call it against the electric field or Work done in moving a positive charge towards another positive charge is there You can say how you want but the unit charge you You have brought it from one point to another. People have named it potential difference That is, what does potential difference do for us? Yes brother, there is a potential difference, how much work We move a charge from a point To lead to the second point, Obvious C The point is in the presence of external field In the presence of external charge is Called potential difference. But be careful There is a unit charge on work done. If you have 100 Joule's work is done to move a charge of one coulomb If you go, you will get 100 answers. But If you did 100 joules of work, then 2 coulombs of work To carry the charge then answer is yours 50 volts will come. Now we are looking at its unit. There are people to talk. The point is that this Unit charge based on how much work you are doing a charge from one point to another To bring in the presence of external This is called the electric field Potential difference. Now this is an obvious thing This is the charge we have, it's positive. It is and it is positive. If you bring work have to do it. If it becomes positive, it If it becomes negative then it will come automatically. Now The work we learned in this case in 11th Yes, it will become negative. So potential The difference will also become negative. That too us Will talk. I have just started it. So potential difference is work done per unit Charge. But what is the condition? The charge will come From one point to another. But right there If instead of potential difference I If we talk about electric potential, then everything Everything is the same except for one small thing Brother, I have a plus charge here too. will be. And I'm going to add another q not plus from here. I have brought the charge. The only difference is going to be What is this q not charge? Is it going to come from the point? One from Infinite It is about to come to a particular point. That means this In the case of which the charge was from one given Point to another given point came. You take this Went. But where does the charge here come from? Is he coming? From infinity to a point. That is, its original point source or We don't know where he is coming from. All we know is that he is somewhere from Infinite Has come. Infinite has two meanings. Here. One has come from far away and one It means where is it coming from? I don't know that. When a nearby point Why not, but we don't know. So now For infinity means that there is an unknown From a point he is coming to a non-point. So Same work done upon charge, how much work you Will you charge a unit? We call it people Will give electric potential. So in both What is the difference? charged particle in a Where is it coming from? from one point two Inside. And where do the charged particles come from in one? Used to be? From infinity to a point. The formula of both is same. How much work Will you charge a unit? formula beans It is going to happen. So SI units etc. are also the same It is going to happen. Let's talk about SI units. We do. Then let us understand them practically. What is Ambience and we use these in our daily life Where do you use it? well so you Do you understand that there is no charge here? If someone is sitting then there is also an electric field It will not happen. So this charge from here to here You may need to do some muscular work to get it. No electrical work to be done but have to do it. Isn't it? You understand what I am saying. Now like this is a stylus. Isn't it? or this phone Let's take it. You might see this stylus No. This is the phone. Let's accept it. Now I have The phone is kept here. Now if I call up or down, I I will work against the gravitational force. So I did the gravitational work. But If I move the phone like this or like that So I did not do any work against Gravity. So, similarly, if someone here If the charge is not sitting then this charge Any electrical work to be carried out Will not done. I am getting muscular, I am not Is it happening or is anything else happening or not? Is? That is something different. But which one Won't it work brother? No electrical work will be. That will happen only when you are in the presence of You will charge externally. Now you can use it for its If we talk about the symbol, then we The symbol to be used is V. Work Done So we're going to use W and charge. For this we use Q. So from here First of all, what is its SI unit? Will you come brother? Work done is done in July. would have charged Coolum. So Coolum came on Joule. But you Everyone probably knows from 10th class that Bhaiya The potential difference that occurs is another There is a unit which we call Volt. Isn't it? after the name of Alexandro Voltazzi. Alexandro To honor Voltaji, we potential difference or electric The SI unit of both potentials is volt. Is. Volt will also be capitalized. Isn't it? One There will be more units as I told you. Gave. Coolum on Joule. Okay, now again 1 volt. When will it come? is answer.If you find any mistake in 1 volt potential The difference has to be defined. When 1 Jul of Work is done in moving 1 coulomb of charge From one point to another. This thing in mind Keep. But what will we write here? When 1 joule of work is done in moving one Coulomb of charge from yes. Infinite to a Point. Just a small word here, you don't Forget that the charge will come from infinity. But here the charge will be from one Point to another point will come. From One Point To another point will come against the electrostatic forces which is Obviously. Now here is a very important You also need to know that the Potential difference is a scalar There is quantity. This is a scalar quantity. There is no direction etc. It is not direction dependent. So this is a is a scalar quantity. And obviously a thing is also our electrostatic potential Which quantity is it? scalar Quantity. Look friend, both are the same brother. Both are beans. This is the only difference. in one The charge is coming from infinity. One in the Forest Point to another. Now I will ask you a question Give. Please answer in the comment section. Older children know how we Let's read. Look, we spent 10 minutes on these two To learn the words. because further Life should not become difficult. Okay, right? If your foundation is weak, the building will collapse. Will go. build the foundation quickly so that If the building is built quickly, it will collapse quickly. Guys will soon forget. If the earlier You will not work hard on the topics. So listen now I am asking a question. on the comment section I need an answer. Potential according to you Difference between electric potential and Who will we be in for further studies? Will you read the sa one? Meaning which one is easier? What is going to be the first step? Potential Difference First Step Being or electric potential first step It is going to happen? Think and tell me. Comment Section Pay time stamp your something 10 11 minutes Is around. Ok? I hope you paused the video I have answered it comfortably. Ok? So you a lot of it because when I'm offline or I teach in paid batches so I know Many children answer this question. Potential difference. because they think that the charge is coming from one point to another point Is. But there is a surprising answer to this. that electric potential is the first step of potential difference. I'm just giving you I will explain it with a derivation. But if short If I say so, in electric potential It doesn't matter where the charge is. Coming from. That's why there is only one The point matters where he is coming from. But the potential difference between the two points It matters where it's coming from He is going. But to my great surprise It's a matter of. We live in our homes most of the time What is measured is the potential difference. See if you ever did this in 10th class I have said that this is a bulb I have. Please इग्नोर दी शेप ऑफ माय बल्ब। And this is my Pass is a positive negative. Ok? Now this There is a bulb. You did a lot in 10th grade. How much voltage are we getting brother? This is where it has to be measured. So here we are, a Used to install a voltmeter. Now the voltmeter So it seems to be between two points. So Obviously, if the voltmeter is two If it appears between the points, what is that? Does it measure? So it measures the potential Difference. I mean, I would write it here. I mean that the voltmeter measures voltmeter Majors पोटेंशियल नहीं नापता है। that potential It is also a very useful thing. But what we Is. What is the name of the chapter as well? electrostatic potential and Capacitance. तो हम इलेक्ट्रोस्टेटिक के बारे में बात करने वाले हैं। Ok? Comes. लेकिन हमारा पहला स्टेप Throughout the chapter. In this chapter you ज्यादा एक्सपेरिमेंट्स मिलेंगे नहीं। Meaning It doesn't exist. बिकॉज़ हम लोग पोटेंशियल के We are going to talk about it. Joe Actually Isn't it? So there are many derivations here. are filled. आप देखो ये सारी चीजें are blank. ये सारी यहां पे डेरिवेशंस It is coming. और आप सबको पता है हम वन शॉट में सिर्फ फॉर्मूले नहीं करवाते। one by one डेरिवेशन भी करवाते हैं। Even then you are our वन शॉट्स को इतना प्यार दे रहे हो। So Is. दो चार हैं वो मैं करूंगा लेकिन आपके I will do it as well. यहां पे कैपेसिटर के ऊपर Will work. Now let's talk Electric potential due to a point Charge. As we extracted the electric field Was. Now we can calculate the electric potential The ones about to take out are for a point charge. In simple words, we have a point How much electric charge will it have and how much electric charge will it have? Must be creating potential around you? We are going to talk about this here. Are. Let us understand a little. Watch Let Us Suppose I have this one charge called q. Now because I have electric potential If I want to remove it, I will charge one from Infinite. Brought me to this point. Let's say A To the point. This charge that I brought is why It is not. Isn't it? And how far can I get it Did you bring it from here? So the answer is I place it at a distance r I brought it. I hope you will write down your considerations. That let's take a positive charge q and another Charge q not is displaced from infinite to a point a which is at distance r from q what do we do now We want to find out the electric potential. What is planning from electric potential First I will remove work done here and I will charge for work done upon it because The formula for electric potential is What is the pass? Work Done Upon Me Charge Chalo Come on, this is our plan, okay, let's go, little one. Whatever work is done, there is a formula for it. Force in * displacement in * cos Theta. We read this in 11th class. Now Small work done. If I remove it here Chahta hoon work done by electrostatic Force. Work Done by Electrostatic Force. So the work of electrostatic force Done is k q1 q2 / x². I posted here x Why did you take it? Because now the kids say r Take. No, no, no. This is the charge that Coming to this point from infinity. So He is changing his position again and again. Is. Suppose this is the charge which is fixed for which we have potential Have to take it out. I'm coming to charge From Infinite. I am bringing it here. bring it here I have been. I am bringing it here. I am bringing it here. I am bringing it. I am bringing it. I am bringing it. la I have been. I am bringing it, I am bringing it. So what My r is changing again and again? What My distance from the charge changes repeatedly. Used to be? Yes. So that's why I'm here now What have you taken for now? x taken. dx now If we talk about cos theta here So this charge on this positive charge He must be repelling here. Because positive Negative charge repels positive charge. So Force is being deployed here. But we charge They are bringing it here. Bring it against him Have been. So the displacement seems to be happening here. So you understand that the angle between them It will turn 180°. So it will come Find the value of k q1 q2 / x² dx and cos 180 Hope you all know -1. So From here it comes to me a little work Done. Now if I want to find the total work done So you all know that I have integration Have to do it. So here I am going to do Integrating both sides. What am I going to do on both sides? Brother? Integration. So here if I integration of dw Will come. And here -k q not q that one There is a charge lying here. q not that So I took them. These came out Because it is constant. So it will be saved here 1 / x²dx Okay, now look at the limit. Where do I charge Where am I bringing it from? Do I charge who have I brought from infinity to r? So here But whatever limit of x is put, it will be put r from infinite. The biggest mistake children make Let's do it here. And I'm here to tell you I'm going to explain why the electric potential Easier is easier than it seems to be compared to potential differences Reading. Reading. डेली लाइफ में कैलकुलेट करना That is a different matter. Okay, right? Now here if If you look at the integration of dw, we have Pass means small work done which We already have the outside - q not 1 now The integration of 1/x² is -1/x It happens. I hope everyone knows. limit If you forgot r from infinity, then power of x ऊपर जाएगी तो -2 हो जाएगी। So one in power It will be added. The same power will come down. Upper limit 1 / r minus in not up Lower Limit 1 / Infinite Starts Here Brother, that thing happens if I say this potential instead of electric potential But I would have done r1 to r2 because both of them What do points mean to me? There would be non. So what would I have done here? R1 to R2 Would have done it. तो यहां पे मैंने इनफाइनाइट से मेरा जीवन आसान हो जाएगा। Now I am not this It is more difficult. It's not like that. Just understand एक नेक्स्ट लेवल माना जाएगा। you say so Can. चलो अभी तो हमारे पास वर्क डन Has come. What did we have to remove? We have निकालना था भैया पोटेंशियल। Come on sir. Now It happens? वर्क डन अपॉन में जो चार्ज आप You have brought it. अब वर्क डन कितना है हमारे Near? K q q not / r / q not. what q not से q नॉट कैंसिल हो गया? Yes. so we have पोटेंशियल का फार्मूला क्या आ गया? kq/r You already know 1/4π You can write 0. q / r अब यहां पे मजेदार What is the matter? देखो हम लोगों ने फोर्स का What formula have you read? We the people force Have read the formula of. KQ1 Q2 / R² we have Electric field formula first What did you read in the chapter? KQ / R² here What is the formula? KQ/R So Confused It should not happen. slightly similar There are formulas but one should not get confused. Very important very lovely derivation It may not come in the exam but it Formula now in this entire chapter at least Can be used 10 times in different places Pay. So this derivation is very important. Electric potential for a point charge. Done. Come on, now we are again our dear Coming to the topic. Like we first Chapter 10: Comparison of the angles of a dipole to a dipole for the axial point and the equitorial Electric field was detected at the point. Now We will extract the electric potential. This is going to be easier than before. Is. Why is it going to be easy? Because There, if you remember, there's an electric The field was a scalar quantity. and scalar Problem with always adding quantities It comes. Especially at the equitorial point Was. We rolled the vectors. Here There will be no problem at all. Almost the same derivation in Excel Is. There is nothing like the Equatorial one. Because don't forget electric potential is a is a scalar quantity. Son, it is obvious if If you haven't done the first chapter, do the second. I don't want to come here. Parts of our physics All the chapters of One are interconnected. If you haven't done first, you can do second. You will not be able to understand. You will realize right now Must have gone. There will be more to come. So if you First chapter not done, video You stop it here. Ok? This thing in mind Keep. Now let's talk about the axial point. Pay. How do we determine electric potential? You can calculate. So I have this +q There is charge. Oho sorry sorry. I have this +q There is a charge because there is talk of Dupole And this is the -q charge I have. Okay, right? We are talking about Dapol. Ok? Ok? You all will remember the distance between them. 2a is. Now I have a point on V is point Let P be the axial point. On this I want to find the electric potential. The potential and the distance from the center Like last time, our R is the same. Now we have Electric potential has to be extracted from here. So how will we do it? It is very easy. First of this We will calculate the electric potential for this. Then find the electric potential for it. We will take it and add both of them. Ok? So again son, please write your statement etc. Take. So electric potential + q charge I will write for. So what is the formula Will you go? Right now we have for point charge What is the formula derived? kq / r so here What is the distance per r? Plus ones Of. This is r and you all know this whole 2a Is. This is the whole 2a. So this a and this r are How much will we get? yes I heard it I have. You are saying r + a. Correct You are saying. Come on, the -Q guys are saying it quickly Tell me. Say it, say it, say it. Correct. Some children did not say minus. Is. I heard it son. Sir, how do you know? It seems? Hey brother, it's been 15 years since I started teaching. Happened. Some of you kids here have minus I have not said it. Son, the charge is minus, right? So -kq / r minus this will come out. charge minus Yes my love. So here comes the second. Now If I have to calculate the total potential at the axial point What do I need to do if I want to remove it? Me Add for +q and for -q Will have to give. As simple as that. End. End. Derivation. Look at you brother, at the axial point Take it out. What came for the one with +q? kq/ r +a and here it comes -kq/ r - a isn't it? Brother, I did that plus minus minus. In a single step, for the axial point I have taken kq as common, it would have been saved here is 1 / r + a and -1 / r - a remains. Everything is going well. kq I took common It is kept. Now here r + a becomes r - a a² - b² This brother has come here r - a And here this sister has come r + a okay Yes, here we have k coming down. what have you come tell me r² - a² what is here r to r cancels out yes but a in a add If it happens then -2a will come now you know that our fingers must be twitching To write the dipole moment, here we People are working on the axial point. So 2a minus q * is already outside here. The minus is already outside. q * in 2a q * in I am writing to 2a about the Dupol Movement First chapter q * contains 2a dipole moment or should I say electric dipole moment and comes down to r² -a² so we have Potential at axial point of dipole. But we have done this for any dipole. Have worked. If my dapol is short for Short duplet. If my dapol is short. My Dipole Short If this is our dipole If it is short then in this case what is A then R will become much smaller than. First Chapter A lot of things from the first chapter seem to be here. Have been. So if my dipole is short then R Sorry, R is much bigger than A. and A will become very small. So I ignore A in the denominator. I will give it to you children. And good luck to me R² - KP / R² - KP / R² What came in there Was? - 2kp/r वाला फ़ॉर्मूला एनी डपोल के लिए है। This talk You have to be careful. डन है चलो अब यही सेम काम ये तो पेज बच गया हमारे लिए। I this I will remove it later. Even if it seems okay are. Now at which point do we have to do the same work? Do you want to do it for me? Equitorial. I just gave you I told you before I started. The equitorial point is nothing. Come Let's see how. There's nothing Equitorial point. So here we have a dump Because son, what was there? over there We had to extract an electric field. And that was a vector quantity, so son. There were problems. This is the +q charge we have. These We have -q charge. between and We already know the distance, this 2a There is distance brother. Ok? any problem It doesn't matter. Ok? Now from its center If you remember, we from the centre To One point to take here At this point which is at a distance r, then here This distance from it is r, this is a, so this This will become under root r² + a², this is the previous Sir, everything is happening just like in a bar. Brother, and this will happen to me what r² + a² Everything is going well now I get to this point What to extract potential is very simple How come nothing will happen, see me first I will extract the potential of the one with + q For. Phula we have read KQ/R now r is how much Is it brother? So r is r² + a² is now some direction vector Not that this is attracting him here. It is repelling it here. something like that I don't have to do it because son, this There is potential. There is no direction for this Is. So, I'll take this out for the -q one. will come -kq / r r How much is ours? How much distance is this Ours from the charge? So r² + a². So if I am going from here to the equitorial point. If I want to extract potential, should I Do you have to add +q and -q? Correct! You are saying. So kq / r² + a² under root these plus minus minus kq / r² + under a² Root. Did these get cancelled? It means Children's equatorial point The potential will be created and it will happen. Zero means zero. the potential that is created Whatever goes away will become zero. How much? Now whether the shot is Dupole or anyone else You are a fool. That is, this line and this one above it Many conceptual questions come up. i.e You can travel anywhere on this line. This of Dapol You can roam anywhere on the line. On this line you You can roam anywhere. The potential you will get What will I get brother? You will get zero. You will get potential zero. any potential Will not get it. And if you don't get the potential There will be no work either. Because the potential The difference itself is zero. So no hard work You will have to do this to rotate the charge. Balance We will talk now. So very important This is also a derivation. Not so derivation Derivation is important. The conclusion of this It is very important that a dipole The potential at the equitorial point of Whatever happens is zero. quickly to this Revise it once and revise it once do it. Then we move ahead. quickly please Look, revise this much first. okay brother? So now we'll talk about electric. Potential due to depoli but at any general Point. Did you notice what we just talked about? Did we talk about axial, meaning that We talked about axial and equitorial. Now we will talk at any general point. These We did not do the work in the first chapter Had done. And so this derivation is one It becomes important. And then at any After doing the derivation at the general point, we get We will see that the axial and The derivation for equitorial is correct Is it there or not? Okay, right? So at any Point is, if I need to talk, I have There is a plus charge here. its diagram is very important and from the diagram Only then will you be able to connect everything. Ok Yes? And this is a negative charge we have. Now if I were to work at any point If yes, then I will move it a little further away. If I'm going to work at any point. That means this is the point from the let's. Now if If you notice, this point is neither axial nor Nor is this point equitorial. These from the center of our dipole, then at a distance r Yes, but it is at theta angle. If this theta If the angle becomes 90 then this is the equitorial point. Will be done. And right here, if this theta angle is 0° If this happens then it will become the axial point. Do you understand this much? If this angle is 90 If it goes then it will become equatorial. and this is If the angle drops to zero, then this point It will become axial. But for now, these are Any angle is theta which means this any Arbitrary point has been reached. Now from here on Its distance will be this distance. You think this is equal to r this time. It won't happen, so what happened last time? and these two, i.e. the previous cases I had this r and these two were equal because It was the equitorial point. But here the This is the distance, let me call it R1. And this distance will be there for me here You will have to lie down and take R2 and R1 and R2 here It's not equal right now, but here it is We will create a situation where this It will become equal, just wait on it Are. Let's just do normal studies now. Are. This is completely 2A, so this is A. Went. This became A. We know this. So If I have this total at P point The potential has to be found out which is at any point So first I will find the electric potential. I will take for a charge of +q which is Now this +Q one will go into KQ / from this point R1 is at a distance. So come here to me R1 will go, do you think this much R1 will come. Correct Is? Ok? Ok. After this, if the matter If you do this, KQ will appear for the one with -Q. R2 will come in but minus will come. As That we have been doing till now. so me I don't think there is any tension here. Bus R1, R2 has split up this time. So here R1 Here it is, R2 is here. Now if I get the total If I want to find the potential, I need to find the vector There is no need to see anything else. So plus and minus I have to add the one. So those with +q For I had KQ / R1 + - will be KQ/R2. Ok? No problem so far Should not happen. Now here if I take the total potential If I take it out, I took KQ common. Here I have 1 / R1 - 1 / R2. Now at this point it comes to me KQ. So here I have R1 R2 and Here I have R2 - R1. Now If you are stuck here, then if you pay attention Look, right now you can solve it further. cannot because the values ​​of R1 and R2 You don't know what it is. So this is our The answer came near. But from this answer we Not satisfied. And the first thing is We have this one for At Any Point of Dpol At Any Dpol has been taken out. We just now got it Nothing was done on Axial Equitorial. And Plus this Dupole short was also not considered. Is. This is a normal dipole. So this formula It came which we don't like. But yes This formula has arrived. But if a dipole is short then things change It will go to a very high level. So carefully Sunna for short Dapole. Here the short dipole It's not going to be that easy. So a little bit Son, if you are lying down then sit down. sitting If you are there then straighten your back. If the waist is straight Open your eyes wide. Eyes wide open, then all Make it wide. Make the ears wide. Listen. For short, we are going to talk about Dupole. If This dipole is shorted so this diagram is not like this You will see it. Ok? If these Dpol short If so, then this +q charge will be here. with -q The charge will be here. You will see two dots in the camera. You must be seeing it from a distance. Alldo this and more It is nearby. If I make a pass through this, you will see Will not come. If a dipole is short then it Both +q and -q are so close. And what is mine P point is this. which is my P point This is it. Ok? Now tell me honestly If I go to point P from +q and this I make R1. This is R1 for me. These For me it's R1. Okay, right? And similarly if I go to point P with a charge of -q So honestly this is the R2 I have. Now put your hand on your heart and tell me if the baby is small Is. Look, if the doppel was not big, if the doppel would have been larger, such that R1 would have been equal to R2 Not there. You can see it clearly. But if If the dipole is small, then R1 and R2 are approximately equal. Will it be? The answer is yes. And what is he equal to? Will it be? The point going through their center Is it very difficult for me to make it? Is. Hey, look, I made this digitally. I have been. But this line going from the center It must have been R. So what should I say that If the dipole is shorted, whether it is R1 or Whether it is R2 or R, it is approximately They will be equal to each other. So for short Dapole R1 is approximately equal to R2 which is Approximately equal to R. understand so much Yes, first? Do you understand this much? Now one more thing Listen. We need the value of R2 - R1 here. Look R1 R2 is approximately equal to R. if so So the potential that I have got is The formula came to me in KQ upon Who was down there with me? R1 * ∆ R2 then R1 R2 are both equal to R. So what am I Can I write R² in divide? Yes, because Both are equal to R. But if R1 R2 If it is approximately equal then above it is minus zero Will come. So that's the thing. where they Equal values ​​don't make much difference Is. Like r1 r2 below equal value then I wrote down r². But above I I will not accept it as equal. Because if I If the above is considered equal then the answer will be zero. Will go. Which is not good. And correct too Not there. Because how can it be zero? So What will be R1 R2 - R1? Listen carefully. Now Another diagram will be made here. If I Diagram here means construction if I Let me draw a line from here. such as this I have R2 and this is R1 I have. If These lines are very close and I am going to take a I will draw the line. I call this from Let's I will show it with colour. So this part This part will come to me, this is it I will go to R1 - R2, understand carefully. I have this, let's say R1, I have this. R2. Now, what is the difference between these two? First of all, whatever the difference is, it will be R1 - R2 will be. Now find out how much difference there is Of? The first way is that you R1 Take it out, take R2 out and minus both Two. But there is another way that both of these Bring the fingers parallel. Now this parallel Was not there. Bring the parallel. Joe Extra What will survive is their difference. deep talk Is. It is a deep matter. What if it's far away? Is there a way? Find its length. the length of Take it out. minus two which is R1, - R2 and R2 - R1 But if these become parallel then what This difference will remain now if the dipole is short Are these three lines parallel to each other? Sir, it is not parallel. ok good now Just look. Now let's see if this parallel Is? If you show it to any person, he will say These are parallel. Yes, he will refuse here. But if a person sees them like this If you show me, are these lines parallel? Are? Yes, they are parallel. And if these lines For short dipole For short dipole If If these lines are parallel then between these two the difference between them The difference is actually For us, R1 will be R2. Now if these three The lines are almost parallel to each other. This one If the angle is theta then this angle is also theta Will be done. This is distance 2a. We all know This is going to be 2a cos theta. I know maths Is. This is theta. This is 2a so this will happen 2a cos theta. Don't refuse. This angle is 90 Because we pulled perpendicular from here. If these lines are parallel. So this is theta. This is the base, right? So what is the base always? Is? 2a is cos theta. so what r1 r2 was approximately equal to? Yes. And along with that, which R1 - R2 is what is it equal to? 2A cos of theta. But I want R2 - R1 So no problem. R2 - replace R1 with -2a cos I will write theta. Everyone knows this much maths Is. Is in 12th class. So from here K Take out the minus. 2a in Q * 2a in Q * What's left? Q * What survived in 2a? Dapol Moment. Son, I just left behind I have told you this, so understand it in one go. It is quite useful. So go back to the video. Look again at what I said. Understand again. Now what is 2a in q * here? Is? What is 2a in q *? q * contains 2a This is the dipole moment. So the formula came to be -kp cos theta / r² -kp cos theta / r² Got it? It's done. Ok? But this formula that came up, this It was for Dapol. This one that came, short dipole Has come for. Is this formula correct? Has he come? How to check if this formula Has it come correct or not? So, we are Let's work from Axial and Equitorial. If I have an axial point so I just told you theta which It will become 0°. If the axial point is So theta will become 0°. theta will become zero, So what potential will come? - of KP cos 0 The value is one by r². hey this We have derived the formula today. What It's a matter of fact, I enjoyed it. And if this is what I do for equatorial point then For theta I'm going to have 90 degrees. How much Theta will I have? 90° and If theta becomes 90° then cos is 90 Zero. So - KP 0 / R² which is zero. So We have proved this also today, brother. Take Yes. what else do you want? This means that what we At any point formula is derived It is absolutely correct because we Correct results for axial and equitorial He takes it out and gives it. I will say it again Pause the video, this part Pause this one, I mean sorry, go back to this one. Watch the part again without it. Please do not proceed further. ok sir. So This is electric potential at any Point. Now we are going to talk Electric potential due to uniformly Charged spherical shell i.e. hollow sphere. Now she means I hope you know There is a holosphere. But keep this in mind What we're going to do is actually a There is no derivation. Many children feel That this is a derivation. This is not a derivation Is. This is a conceptual thing. and a lot Like we did in the first chapter, a shell inside Outside on and inside pay electric The field was calculated. here we For the same, talk about electric potential. I am going to talk. Okay, right? Little Listen carefully. This is not a derivation. Then I am speaking. If I were to point to its first I want to talk to you if I talk to you Outside A shell. I'm a talker out of a shell Am. Okay, right? So I have a shell whose radius from let's I have r its r is the radius. r is the radius. and let me get r radius from Ah or Electric Potential at a Distance Have to calculate. And the charge for this whole Yes, that is q. Isn't it? The charge on this entire How much charge is concentrated? Is it concentrated? q charge is concentrated Total overall. Now if this is the case then the potential What will happen brother? Look at one can I give this one a I will accept point charge? The answer is yes. So If I consider a point charge then the potential will be will go kq / if I am at r distance then r so you can see I'm a derivation I am not doing it. It's just a formula Revisiting that I can convert a sphere into a I can assume point charge. all of his Sara Charge Center Pay Concentrated Assume Can be done. which is due to Potential will be generated at distance r Outside the sphere it will be kq/r. Okay, right? Now if I come on the Sphere or On the Shell So let's go over to Shell if I come over. The first thing that comes to me is this There's the bean sphere and I'm here, which is its Radius we had r. Now what I Potential calculation has to be done on the It is the sphere itself. Okay, right? here it is At this point. So it is obvious that I infinite if I take it out at r then its Do you understand the meaning? So what was there here? I'm going to divide the charge by infinity because we Son, you are extracting electric potential. So you all know where we get the charge from. Must have brought it? From infinity to a point Must have brought it. So from infinity I call it How far have you brought me? Brought it to R. Now I it From infinity to on the sphere i.e. small R I have brought it. So the formula for potential is I'll have K Q / R right? I will have the formula for potential. KQ/R If I go inside most This is what is interesting. goes inside the shell So from the experience of again offline, I I am telling you. When I say inside the The child says hey, inside it is It will be zero. Beta inside zero what zero It happens? Inside Electric Field Zero it occurs. Will the potential be zero or not? will be? We are talking about this. But You cannot say that if the field is zero If it is then the potential will also be zero. Come on, please Understand this thing. Listen very carefully. These So we all know that inside the hollow shell There will be no electric field at all. There will be no electric field inside. Now If there is no electric field inside. So I don't need any tools to move the charge around inside. You won't have to work. First of Chapter Look brother, in the first slide I What did he say to you? In the first slide, I I told you that if it is not charged then Someone to carry it around No electrical work will be required. By the way Muscular work may have to be done but no No electrical work will be required. So if If this is not there then this charge is zero. Will come from work. Now you understand that if our There is no electric field inside the sphere If there is any possibility to move the charge anywhere inside You don't have to do any extra work Will have to. But where do you get the charge from? Have you come? Yes you have brought the charge infinite From. You have brought the charge from infinity At some point. So from infinity to on How much work did you have to do to get it? KQ / r How much to get from infinity to on Had to work? KQ / R So you understand that You will also have to work to get inside from here. No matter how much you have to do. Answer is KQ / small R only. Because all the work you did till now It will be the same inside as well. Because inside There is no electric field. inside there There is no electric field. So the potential The formula will come to us as KQ / R i.e. that what is on and what is inside are the same Will remain. But Outside Potential Varies Will do with R. If you have any reason for this If you ask, I will tell you. you want Write it intermittently. electric potential For hollow conductor on an inside on an Inside is equal because there is no Extra Work Done in Moving Charge Inside The Shell Because of absence of electric field. Is No? So this is our job. Now if I Plot the graph. if you remember We have plotted the graph Electric of the field. But if I plot the graph I'll do it here as much as I have space for. It is according to him. If I graph this I plot a very interesting graph. will be. We plotted the electric field created. Here this time we are talking about potential Are making. And here we are again at distance. Are making. Remember the electric field? Inside Zero had come. Zero had come. Like we R It had increased and then decreased. If you have read the first chapter. But This is not going to happen here. If I were here I am up to the radius. So the potential is You can roam around anywhere inside. how much will it last Is? KQ / R So you can roam anywhere inside. How much is it going to cost? KQ / R so these these I Coming from the center to its R. R from the center I am coming till So the potential will remain the same KQ / Even if I reach R on, how much Will it remain? KQ / R But what if I go further? The potential is inversely related to R It has become proportional. As R increases The potential will be low. So the graph below is It will go down inversely proportional. So This graph has been asked many times in the exam. And the child gets very confused about electric In the graph of the field and electric In the graph of potential. Electric Field The graph remains zero here. because inside The electric field remains zero and then It goes like this. तो मतलब बस फर्क आता है Of the inside game. The rest remains the same Are. Understood? So this thing is electric. spherical shell which is actually a डेरिवेशन नहीं है देखा जाए तो। Ok? Now लोग डिराइव करने जा रहे हैं। and this This is the derivation we're going to do. Electric Field and Potential. Obviously Going to do? इलेक्ट्रिक पोटेंशियल होने वाला Is. There are two potentials in this chapter. Potential. हम हमेशा इलेक्ट्रिक पोटेंशियल इस चैप्टर में पढ़ेंगे। somewhere in this chapter पोटेंशियल डिफरेंस नहीं आएगा। next chapter I will come. चलो अब आओ रिलेशन डिराइव करते Yes brother. Ok? What is happening? Our पास यहां पे एक चार्ज बैठा हुआ है। again q I have been. थोड़ा-थोड़ा डिस्प्लेस करवा रहा Am. I am getting it displayed little by little. Will drive relations. Come on. is this डिस्प्लेसमेंट * में cos थीटा होगा। Reese आपको पता है cos थीटा का। have talked today Are. तो छोटा सा वर्क डन हो जाएगा - फोर्स * in dx. Ok? क्योंकि मुझे रिलेशन निकालना है किसके बीच में? Electric Field. तो क्या मैं फोर्स को इलेक्ट्रिक फील्ड के टर्म्स में कुछ लिख सकता हूं? So यूनिट टेस्ट चार्ज। Do you remember? So from here I can write electric instead of force field * in test charge * in dx everything coming right up. Guess which one you are Equation brother? First equation. Ok? Consider this as the first equation. also We have just read today that the potential The formula is for a small potential The formula will be how small you have Work done on the unit you brought in charge Yes yesyesyes yesyesyesyesyes yesyesyesyes. The charge cannot be small. Ok? Meaning dq charge. So from here I have The formula for work done will come dv q not and I consider this to be the second equation. Now connect these two together or I relate whatever you say. So From here to me - q0 dx comes. And from here I have q0 dv comes. So here from q knot to q knot It gets cancelled. And if I put dx over there If I take it then it will come to - e = dv / dx. Now if I can also move the minus from here to here. If I go, I have got a relation. With potential of electric field. Very Very important topic. two on top of it Very big questions come up and we're talking Are. But before that can I convert dv/dx to DeltaV / DeltaX and simply V/X I can write. Now two important things from here What are the questions? First of all, this What does the minus sign mean here? These The minus sign decodes a lot. Come Just understand what it decodes. But This minus sign is too much money here. Is. First of all, this minus sign here What is Pay representing? saying this that the electric field and change in Potential is always opposite. It means If because the electric field is a vector There is quantity. You all know this. So its Meaning that if you measure the electric field If you go in the direction, the potential is always there. It will drop, it will fall. because change in Potential minus is coming. Now change in What does potential minus mean? That There will be a potential drop. The potential will fall. You have no idea how much this point is. It is important. I'll just tell you about it I will also explain the question. But we need to take this line What does this reveal? I here this line I will write that these Direction ऑफ इलेक्ट्रिक फील्ड। Son, you will remember this पॉइंट अगर मैंने आपको समझाया है। You did this I remembered it. दो नंबर आपके पेपर में पक्के हो गए तो याद करोगे। Sir, I taught you something. The फॉर पॉजिटिव चार्ज। Let's understand what this means What is? How do questions come? Isn't it? जाए अगर लेट्स से यहां बात कर रहे हैं। One क्वेश्चन हमारे p / q का ही सवाल है। These इलेक्ट्रिक फील्ड जा रही है। These इलेक्ट्रिक फील्ड जा रही है। This I कराया था दाढ़ी वाले सर पे। These electric The field is going. ये हमारे पास A पॉइंट Is. This is the B point we have. These are our Nearby is C point. और ये हमारे पास D पॉइंट Is. क्वेश्चन में पूछा गया था कि इनमें Will it be a point? This was the only question. MCQs Was. So what did I just tell you? in the ड्रॉप्स यानी पोटेंशियल गिरता है। So that means में जाऊंगा तो पोटेंशियल गिरेगा। That is, C Must have been. लेकिन वहीं पे B और A में आप Will go. क्योंकि A सबसे पहले है और move in the direction of the electric field पे पोटेंशियल जो है वो ड्रॉप होता है। Understanding Went? तो इन द डायरेक्शन ऑफ इलेक्ट्रिक फील्ड पोटेंशियल ड्रॉप होता है। the reason for which Will go. तो ये माइनस साइन यहां पे ये पोटेंशियल विल ड्रॉप। The potential that is Will fall. Do you understand? Another one Is? और ऑप्शन में इलेक्ट्रिक फील्ड भी It was written. अब क्योंकि फर्स्ट चैप्टर But Coolum. न्यूटन पर कूलम क्योंकि वो होता है फोर्स अपॉन में चार्ज। So on Newton Coolum. लेकिन इलेक्ट्रिक फील्ड की इस वाले हम बोलेंगे वोल्ट पर मीटर। Because it is above Pass meter. So what happened? Meter on volts. meter. और हम लोगों ने 11th क्लास में सीखा हैं तो उसको रेट कहते हैं। But whenever उसको हम ग्रेडियंट कहते हैं। So what am I Electric field potential gradient Can I say that too? क्योंकि मैं पोटेंशियल को लेंथ से क्या कर रहा हूं? dividing Am. तो ध्यान रखना इलेक्ट्रिक फील्ड ग्रेडियंट भी कह सकता हूं। say so because Bye is the length. डिवाइड बाय टाइम हो तो रेट Let me tell you. Isn't it? rate of change of वेलोसिटी इज़ कॉल्ड एक्सीलरेशन। Rate of डूइंग वर्क इज़ कॉल्ड पावर। But if such If the divide has length then it is called gradient. We give. So this derivation in itself It may not be that important. That's right. But these two points are too much. Are important. One number in your exam This can be confirmed. Is it done? Done Went? So we still have electrostatic It is on potential only. Not on capacitance Have arrived. Let's come up with a topic Pass equipotential surface. Equipotential After studying the surface, we will study the potential We will go to energy and from that our The part with electric potential ends Will go. So let's assume we have half an hour right now. And the electric potential has to be run. His After that, the capacitance will start increasing which is as much It will work as much as we have potential, then you will get one You can judge the width of the shot. Let us go Let's talk about equipotentials. What are surfaces? If you name it If you decode it then equipotential i.e. Surfaces with equal potential. so such Any surface on which every point moves Pay potential will remain the same, they will be told Equipotential surface. Let's understand a little. Value I take that I have Like if I move this to the side a little bit, So I took the screenshot from NCERT. It has happened. But let's say I tell you I have a point charge of + q, okay? No? q then on this side at a distance r What will be the potential? just talked today How much potential will it have? KQ / r here r How much will it cost for the distance? kq / r here too r Pay will be kq / r kq / r kq / r kq / r kq / r kq / r there will be kq / r like this in future also such kq /r If I add all these kq /r So can I get a sphere and can I use that sphere? somewhere on the sphere of radius r Should I also visit the potential kq/r Yes, brother, it is going to be available, equipotential Surfaces are surfaces on which we move Time can roam anywhere, the potential remains Yes, it remains the same. So surfaces where Their potential remained the same while moving around They are called equipotential surfaces. So What definition is written for this, brother? Come Look, it says in the definition that any Surface That Has the Same Electric Potential You can roam around everywhere and anywhere. every The potential remaining the same at a place is called Equipotential surface. like a point to 10 cm. The sphere that will be formed there The potential will be equal. It will be the same for 20 It will be the same at 30 and at 1 anywhere else. cm It will be the same there too, 50 km. on also There will be beans. Now we can consider equipotential surfaces. I will learn to draw, but before that, some Properties are coming up on top of this There are many questions in the exam. First Moving on the equipotential surface, you get No work has to be done. Why not Had to do it? Because the potential is the same. We I have been studying since childhood. work then It happens when you go from lower Potential to hire. and things move automatically It moves from higher potential to lower. But here the potential is the same. If I'm saying I have a sphere that potential everywhere 5 volts, 5 volts, 5 Volts, 5 volts it is. So if there are 5 everywhere If there is volt then am I going from higher to lower Hmm, I'm going to the lower side? Nowhere. So Bhaiya, if the potential is same then I have no No electrical work will be required. say like this Take or say work formula charge into There is a potential difference. Charge now Whosoever it may be. Because the equipotential surface The pay potential difference will be zero. So our So son, the work done will also become zero. i.e moving anywhere on the equipotential surface You don't have to do any work at that time. These This is a very important point to keep in mind. The electric field is always normal to Equipotential surface. If this is a charge And this is any equipotential surface of it then the electric field is always It will turn out to be perpendicular. This makes perpendicular It will come out. This will produce a perpendicular. From this This means that the electric field is always Perpendicular to Equipotential Surfaces Comes out. This is also very important. Equipotential surfaces are closer together इन द रीजन ऑफ स्ट्रांग फील्ड। If the field If it is strong, then the equipotential surface passes Will come. We will also draw now. Meaning You will see that they are drawn. NCERT's There are screenshots. If the electric field If it is strong, then the equipotential surface passes It will be done. And if the electric field is weak then the equipotential surface is far away Will go. No to equipotential surfaces कैन इंटरसेक्ट ईच अदर। It is obvious that Listen. I have this equipotential There is a surface on which I can move everywhere, so 10 is volt. Meaning of Equipotential Surface ही यही है कि कहीं भी घूम लो। Potential What is it brother? It is beans. It is beans. So in this will get? You will get 10 volts. How much will I get? You will get 10 volts. अब मान लेते हैं कोई और जाता है जिसका पोटेंशियल 20 वोल्ट है। So है और ये पॉइंट 20 वाले का भी है। So if That is not possible. So that's why two को इंटरसेक्ट नहीं कर सकते। Now NCERT There will be a sphere. But you notice one small thing Please Keep. The radius of this sphere is Slowly slowly move away from each other Used to be. It should also happen. Because we just now said that if equipotential surfaces pass This means the field is stringed, so plus The field is strong near the charge and It keeps getting weaker and weaker. Isn't it brother? So That's why you should not make it like this. Many children of this Equipotential surface fair so make But they make it like this. Now there is a problem with this What is? We are keeping the gap the same. Then this will be messed up. So how to make it? You should first learn a little about equipotential surfaces. Have to keep it nearby. Then the middle of these You have to keep increasing the distance. Understand No? So this will happen because the near field It is strong and the field far away is weak. Will go. Ok? Ok. Ok. Done. Its After equipotential surface two equal and Opposite charges. Now two equal and opposite For charges, we have discussed in the first chapter. Electric field was created. if you remember If yes, then the electric field in the middle is very low. This happens because both of them are opposites. Sorry, they are opposite. So strong in the middle it occurs. Because plus attracts minus If it does, all its fields go here. It is week here. Now if there is a strong So there will be equipotential surfaces here each other Oh, I put the wrong photo. Here There are two equal and opposite point charges. But I applied plus charge here. Gave. What I am saying is that something is going wrong. So Do you do this? Let's do this. change this We do it. Equipotential surfaces for Two equal ends We make this happen Two equal and positive charges. Ok? Positive charges. So if positive If both of them are positive then They will repel each other. So in the middle Equipotential surfaces look from each other Will go away. These are not intersecting. No, no, you are feeling it, but if you zoom in It is not happening. So the field will be weak here. That's why we are moving away from here. But here If the pay was strong then I would be passing. And Slowly, now look ahead, these people are so I came close to thinking that if I make the next one. It will intersect. So then their Equipotential surface common to start They happen. And when you go far away, will become spheres because both of these will come so close that it will be a point source. They are the ones who will do the work. ok sir. End Finally here we come to two equals And osit. So here it is obvious It will be the opposite. to equal And the odd charges will come here. Two equal and opposite charges. So the same one I had told you the thing. If equal is opposite So there will be field stung in the middle. So this time Look, they are nearby here. But slowly from here Slowly slowly they are going away. And if the electric field is uniform every If the space is equal then this is the first thing about the sheet Will be made in form. Because electric Should I leave? Perpendicular normal. So It is also coming out normal. तो इक्विपोटेंशियल How did the surface come to be? In sheet form. Now Will it be made? Going through this. Because brother Will remain. लेकिन ध्यान से सुनना कभी कबभार It is increasing. मतलब स्ट्रांग हो रही Is. It is non-uniform and is getting stung. So how will it be made? Only sheets will be made. Bus एक दूसरे से और करीब आ जाएंगे। Why close Will you come? क्योंकि इलेक्ट्रिक फील्ड लेफ्ट टू है तो स्ट्रांग होती चली जाएगी। Understand No? So it will keep getting stronger here. So the distance between them will be less. Reverse Do it. अगर वीक हो रही है तो पहले पास-पास बनेंगे और फिर दूर बन जाएंगे। Understand? So ये हमारी पढ़ाई हुई बेटा किसकी? Equ पोटेंशियल सरफेससेस की। Now we will go पोटेंशियल एनर्जी पे। I would say video Come to do it. on small things Have to pay attention. कब पास, कब दूर, कब उनके बीच में कोई गैप नहीं। It's done. once this Please do it. बच्चों वीडियो में आगे बढ़ने बात करने जा रहा हूं। Our Batch 2.0 Launch are done. जिसमें हम लोग रोज आके आपको आपको हमारे ऐप पे मिलेंगे। of science बैचेस अवेलेबल हैं। Then what are you waiting for? of डिस्क्रिप्शन में दिए गए और फर्स्ट Part. याद रहे जो डिस्काउंट है सारे पेड It is valid. Now let's move ahead in the video. Yes sir. तो अब हम बात करते हैं आगे पोटेंशियल एनर्जी के बारे में। First of all आओ समझते हैं कि समझना क्या है? All of you guys 11th क्लास पार करके आ चुके हो। I hope So. और 11th क्लास में आप लोगों ने पढ़ा Is. व्हिच मींस कि अगर आप किसी कंजर्वेटिव Pull that rubber band pull the spring Or compress the spring so you Working against elastic f. So Whatever you do, it should be basically a store. It is transmitted in the form of potential energy. work against the gravitational force It gets stored in the form of Potential energy. Absolutely. Similarly, if you Work against electrostatic force What you do is, if you have a positive charge Taking a positive charge in the presence of Come to the first slide we have discussed today. Did. So the work you did It is basically stored in the form of Potential energy. So we have potential energy We are going to do the derivation of the same. Butt Saw If we go, our first slide was where First, we mean where we pay point charge We extracted the potential and then we repeat the same work. Are going to do it. Now our goal will be different. Let me explain. So the electric potential The word you should know before energy What is that word brother? Potential Energy which I explained to you. Such Energy that is stored when we do anything Working against conservative forces Are. So what is electric potential energy? will be? You could say energy Sturd when work is done Against Electro Static force. Whenever you electrostatic If you work against the force then Energy gets stored and we It is called electric potential energy. I just want to revise it here. I understand that there are three types of potential energy It used to happen. The first one to come to us was Gravitational Potential Energy. where we people worked against the gravitational force And our work was stored in the form of potential energy. Our second comes Pass Elastic Potential energy. Again where we Both of them are studying in 11th class. Are. If the gravitational potential energy Talking about it, two flowers had come. one was mgh for constant value of g and one came out to be gm1 m2/r which is - gm1 m2/r also. Elastic potential energy we have 1/2 kx² came. if you remember. elastic We have two chapters on potential energy. I also did A Drive's work at Energy And we called this 1/2 kx² oscillation I had also proved it. Final energy is I did it at two or three places. But here if If we talk about potential energy then the third types of potential energy come to us electric potential energy is lost Which we have to study in this chapter. So this When will it come? When we use electric or against electrostatic force Will work. Okay, right? Now its formula what is going to happen? So if you remember Today in the first of this slide we What did you do? We have done point charging. Calculated electric potential for But Did we work here before that? Dunn pulled out? So this is the work that has been done. stored in the form of potential energy Going to do. This is what potential energy is all about. is going to be stored in the form. so this is Going to do the derivation again. So I I will hurry up a bit because our derivation This is what is going to happen next year. again here We're going to have a charge that's +q Is. You add another charge which is also +q. You take it from infinity to a point You are going to come, how far is it from this, brother? r so what first thing is any potential Will energy be stored? So the answer is yes Because you are using electrostatic force If you are working against it then it is obvious Hello hello my voice is okay right? So it is obvious that potential energy So there must be a store, so they are doing the same thing. Those who were doing that small work earlier Whatever happens is forced into displacement into cos theta now you have Work against electrostatic force If you have done so, you have applied displacement The work you are doing here, the work you are doing You are taking that store by your force There will be a store. So your displacement is happening It is here. If you look closely, your force is also here. It is like that. But if you work done by charge If you take it out, the force will be there. So that's it The only difference is that you work here. Done by a force can also be removed by you Ho or work done by electrostatic f. So If you remove it through electrostatic field then F will come here. The angle will become 180. Minus There will be a difference which we will see later. So I got this dw = FDX cos 180°. These So we've done it before. So work from here Done will come to me instead of minus force I'll write k q not if I take this charge q And this charge that I have brought is q It is not. Upon will remember it will be x² Because x, i.e., distance, changes repeatedly. been and along came dx. Now I am both What will I do to the side? Integration. Obviously This is the statement, integrating Both sides and all. So total work done by me Pass w will come. Now where do I come from here? Where am I going to go? I have the initials Infinite. I am going to leave from there, We have done this before. So from here -k q0 Came out. Now the integration of 1 / x² which What happens is -1 / x. This is also what we talk about Have done it. Now if I put a limit If I give it, whatever work is done will come to me. Minus to minus will cancel out. So k q 0 / r because it is 1 / r - 1 / infi 1 / Infy ​​zero. So I followed a lot of steps here. But we have reduced it because this derivation Have done it similarly. Now I have this Basically the work is done. Now because electrostatic field is conservative field then Whatever work you do, that will generate potential energy. will be stored in the form of. Isn't it? We will discuss potential energy in this chapter. We're going to show you U with a capital U. Then A statement will appear here. Edge Electro static force Is Conservative. So Whatever work you do, it will be of potential energy. will be stored in the form. and the formula KQ Q Not / R Now what is there to listen to Is? Look, we have a lot of them now. Similar formulas have arrived. Right now we have three I had talked about it. This fourth one has also come. of the force Formula kq1 q2 / r² of Electric Field Formula kq / r² of Electric Potential The formula is kq / r for a point charge For. and the potential for two charges The formula for energy is kq1 q2 / r. So two There will be charges. It is obvious. alone If there is charge then sometimes some potential energy Will not be able to produce. Because the only charge Move it as much as you want. You Work against electrostatic force You can't do it. Understand? Now there are three Let the charge come, let four come, let five come, for everyone The process will be the same. like assume We have three charges. So the first one You must have brought the charge from Lets Q1 for that You will not have to do any work for this. Who You will bring the first charge q1 any for that You won't have to work. because his There is no other charge in presence. But When you bring the second charge q2 which This will put R12 at a distance from the lats. So what Will you have to work? Yes. How much will have to be done Brother? How much potential energy will be generated? The formula is k q1 q2 bi between them Distance which is r12. And just like that, when you You will bring a third charge that you can take anywhere. Come, bring it in the same line or bring it here Bring it, bring it anywhere. and the third Charge will come which is a certain from q2 Distance Pay Hoga Lets Se R 23 And which is also at a certain distance from q1 will be let's to r13 so if you pay this charge If you bring energy in its presence too If it will be made and because of this it will also make sense then The energy produced here will be k q3 If you have brought it in respect of Q2 then q2q3 / r23 plus because you can add the third one If you have brought it in respect of this then Q1 Q3 R13 will come on. Now, because energy is a What is the quantity brother? scalar and If we want to find out the total energy, what do we need to do? Do I have to pay tax? All these will have to be added. Similarly, suppose you had brought the fourth charge also. So then in its presence, its presence In and in its presence all three works done We would have had ads. And then at last we Would have extracted potential energy. So from here If I want to find the total potential energy So I need to add U1, U2 and U3 will be. So what will come by adding it? you know is k q1q2 / r12 + k q1q3 / r13 + k q2q3 / r23 So this gives us the total energy It will go away because we did nothing. everyone What did you just do? Added it. because it What quantity is one? scalar There is quantity. Is it done? Correct. Correct Is. Correct. Correct. So son, a little derivation and then the end of our chapter You will move towards an interesting topic. Whose name is going to be capacitance. Correct Yes sir? But before that we have Potential energy of a dipole in Uniform electric field. We have is a uniform electric field. Now If you pay on uniform electric field Have you finished? The torque has been calculated. We read in the first chapter that if a Dupole moment or a Dupole uniform इलेक्ट्रिक फील्ड में पढ़ा हुआ है। So that There is an equal and opposite force. But If it is at a certain angle then its line The type of action is different. because of which वो टॉर्क अ एक्सपीरियंस करता है। Whose We also studied the formula pe sin theta Was. अब लेट्स से हमारे पास कहीं पे is a uniform electric field. Ok No? Now let's assume here I have यूनिफॉर्म इलेक्ट्रिक फील्ड आ रही है। These मैं क्या बना रहा हूं? I don't right now You judge this. Isn't it? But here at Is going. Okay, right? So I have this one Going in the direction. This is direction Is. Now listen carefully. If electric Where do you want to go? If there is a dipole here It has happened. First, let's make dipoles from lettuce. I have a dipole here. I this I will give this color. It is visible in the camera. Yes. So this is a dipole. अब अगर ये डपोल है तो There is charge. मान लो और इधर हमारे पास माइनस There is charge. Ok? Ok. Ok. Now Wants to be. ये हमने फर्स्ट चैप्टर में I had read that stable equilibrium should be like this Wants. But if I am against it Let me take a spin on our electric bike right now. What angle is it making with the field? theta 1 But if I were to I will get it rotated. Meaning, if I Let me rotate it here by angle θ1 and θ2 Should I bring it to the angle? This +q charge should come here And its angle is this angle θ2. Go. Do you understand what I did? I told Dapol θ1 at angle theta2. So I Work against electrostatic force Did you do it because Dapol wants to go here? Is. But I rotated it like this. rotated against the electric field Is. If I put this against the electric What will happen if I rotate the field? These are your It will store an energy inside which will be called Potential energy is going to happen again. Because you are using electrostatic force You are working against it. Now how many Will it store energy? You should understand this a little. Again Consideration Let Us Take An Electric Dipole of dipole moment small P and length again 2a or 2L a kept in uniform electric How much field? E In Uniform Electric We have kept it in field E. So this How much potential energy do you have within you? Will store. So we all did it in 11th class. I have read that whatever little work is done One of its formulas is Force into There is a small displacement. But Its formula in rotational analog is torque* also contains theta. 11th class system Of Particles and Rotational Motion. Now here Let us read the formula for torque. have already covered in the previous chapter We have pe sin theta. So here we have it Small work will be done. If I make this If I rotate then a small work is done. sin θ d theta. Now if I get total work done If I want to remove it, I will have to do integration. On both sides. So I do the integration I have been on both sides. So here dw Integration has come. Here PE sinθ Integration of d theta arrived. Now all of you Do you know whose limit will be set here brother? Theta limit will be set. Now where does theta come from? Where will he go? So the answer is from initial to final till. What is the initial theta? θ1 final How much is it? θ2 because I changed it from θ1 to θ2 It has been rotated. integration of dw then w Done. What a dipole moment from here Is it constant? Yes, it will come out. What Is the electric field uniform? Obviously It's okay brother, if you have uniform then come out. Went. What's left inside? sin theta dheta The end limit is reached as θ1 to θ2 go right. Going right. Ok? So the work is done I have pe Now integration of sin theta - cos theta It happens. and the limit is reached from θ1 to θ2 if I If I take the minus out, I have this - pe upper limit which is cosθ2 The minus lower limit which is cosθ1 will be reached. Now if I move the minus back in, Work done will come PE cosθ1 - cosθ2 So this is the formula I have for getting work done. Went. Now again because we have worked Against Conservative Forces. So is this what Our Potential Against Statement Will go as work is done against conservatives F. So all the work done is basically finished in The Form of Potential Energy. So children Congratulations. of potential energy we have The formula has arrived. PE cosθ1 − costheta2. Many teachers make it happen in the first chapter also. We give. It could also happen at your school. You may have got it done. But we need to get to the second chapter. I have to do it because in the first chapter You saw that NCERT has also written a book on this. I have not given the question but the second chapter is in. The point is that in the second chapter It is the right thing to do. because potential energy are talking about here. So Children, with this we end this chapter. The first half ends. I am good I told you that in this chapter we have There are no experiments at all. And In the coming chapters we Experiments will be seen. Enough Okay. See you in the third. Even in the Fourth You will get some things. Isn't it? Even in the fifth Will meet. See you in sixth also. Seventh I may have got a little less because of AC It's above. Will do the basic things. But Ray I enjoy optics and wave optics. Will go. So friend, it's okay, 11th in 12th If you guys have read one shots from me So you know, in almost every chapter we Did experiments. But 12th is basically Electricity is on top of things. like now In this chapter I will discuss the concept of potential energy. about what and if I show you बहुत बेसिक चीजें होंगी। to feel that Will fall. हाथ पकड़ के डपोल को हिलाना or show it in elastic form If it is read, it becomes irrelevant. Call it a waste of time in a way because that We are visualizing that anyway. यहां पे क्या हो रहा है। So never the less We are interested in studies, so we can become here. We have potential studies here. It ends. जल्दी से एक बार पूरा Revise your potential. Come on. First of all आओ बात करते हैं कैपेसिटेंस क्या है? I Are. बिकॉज़ हम एकदम नए टॉपिक की तरफ बढ़ Have been. चलो आओ सुनो अब देखो हम लोगों ने कहीं हमें पहले से आती थी। If you notice If you do all that study, we have to go somewhere. Meaning it is obvious that derivatives and all We did everything new. But all the education we It used to come from somewhere. Meaning this is what We have read the word potential. I have been studying since 10th class. Any I am not saying anything wrong. But this which The word capacitance is what we have heard before today. I have never read it. I haven't heard it. Meaning before 12 you all will know that every A body can store charge within itself. Is. Be it metal or plastic yes. If he is given the right circumstances Every body stores charge on itself. Can. Can hold. If I If I rub the stylus, it will also rub on itself. Can hold or store a charge. If If desired condition is given. So any How much charge can the body hold? Is? Can it be stored? The answer is no. every A body will have the capacity to hold a charge To do, to store. that ability Capacity to hold the charge is called Capacitance. Why is it that everyone has a Do you have the capacity? We will talk about this. But Electrical capacitance means What is the ability of a body to hold a charge? To hold? No matter how much charge you hold Can do? This ability is called Capacitance. But why is this so? someone's Why does someone have this ability? very simple There is logic. If I charge a body If I give it, will its potential increase? Yes because potential is directly Proportional to charge. of potential The formula is KQ / R. So if I him If I charge more, then it Potential will increase. Now if his potential It will increase, so I just asked you a question. The charge wants to go from higher potential to lower so around him whether it's the air Be it the rest of the environment or its moisture If the potential is lower, it will transfer its charge to the air. will start discharging in or around will start discharging on the bodies of Water vapors are transported by humidity to the metal with the floor, with whomever he comes into contact I have to discharge my charge. If it starts then each body has a capacity on which he can hold the charge. So if q is directly proportional to V If yes, then remove the sign of Directly Proportional that I will put equal here so I A constant will have to be added which is C. This C This is what we call capacitance which actually represents the capacity to Store charge. Come on, understand if I'm here Let me tell you this, we have Q is Equals to if the CV has come from here What gives us the formula for C? Q/V. So basically what is capacitance? Capacitance means how much charge you Can you store at unit voltage or at Unit volts. So how much can you charge at 1 volt? You can store charge, this is called capacitance. They say. So if you increase the voltage at least You will be able to store maximum charge of So your capacitance will become higher. But if you increase the voltage to maximum You are increasing but storing less charge If yes, then your capacitance is low Will be done. It is very basic. Now so much you You know, whenever a constant is put into the equation, then it Constants replace the variables in those equations Change cannot be achieved by changing. That means if you C If you want to change it, you can't change it. C by changing Q and V. very basic This is a maths rule because we have C here. has been set as constant. But this means that It is not that the capacitance does not change. What does capacitance depend on? Is? Come let us understand this. first thing So here I am going to say capacitance of conductor What factors is it depending on right now? I am telling you. in 2 minutes or 5 minutes We will also prove this. But first of all The thing it depends on is dimensions Off Capacitor. Capacitor means charge storage Made to hold, to have Went. I'm showing you right now. But What are the dimensions of capacitors? What is its height? What is the width? What What is its radius? If it is cylinder shaped So it is, right? Like right now I'm giving you a About the capacitor I will teach. But if you look at the front All these capacitors are installed. Basically. This is also a capacitor. This is installed in AC There is a capacitor. This is on our motherboards. There is a capacitor to be installed. This is also the motherboard All the capacitors are installed in it. So all this There are capacitors. These are all capacitors. Now Listen, what about these capacitors? What are the dimensions? Meaning, let us suppose that all of this The material is same. It is obvious that their The material will also be different. But let's assume that in Everyone's material is the same. So in which here its The dimensions are different. Its length is different. Its length is different. Its length is different. Its radius is different. So these dimensions डिपेंड करता है कैपेसिटेंस। Right now we are here I will also prove it. इसके बाद डायमेंशंस के After all, it depends on what It is obvious. nature of material Used. Nature of material used. What material did you What is this made from? It also depends on this Does. Now we will also prove it. Ok? But let's talk a little before that. Units and dimensions of capacitance. Let's talk about this first. Ok? What Q = CV is? Yes, brother. So what C do we have? Q/V will come? The answer is definitely there. If C comes to us Q / V then this What will be its Si unit according to this? This What will be its SI unit accordingly? The unit of charge is coulomb. It would have been is volt. So its value comes to volt per coulomb. But we also measure it in Farad. Which we represent with a capital F Are. I hope you understand. What great is this It is in the name of a human being and that great human being. My name is Michael Faraday. on whom EMI is a whole chapter for us. In the syllabus. But in this its unit is one A volt is a coulomb and a farad is a coulomb. So can you understand when 1 Farad will come? 1 Farad will come when you store 1 coulomb charge You will do it on a potential difference of 1 volt. Actually, being one farad is like It seems impossible. We will read now. generally The capacitances you will find are micro Farad, pico farad will be available like this. Nano Farad You will meet like this. One farad is a very large Let me tell you that I have a cell phone that If it's a 1000 volt cell, you'll say you're crazy. Is it gone? How can a cell be 1000 volts? Is? The battery can still be imagined. An AC source is easily imagined. May go. But you can make a cell of 1000 volts. You are saying. Similarly, the capacitance of 1 Farad Happen. A capacitor with a capacitance of one farad Is. Now we will tell you it is very very Very very difficult, near to impossible. But If there is 1 farad, when will 1 farad come? When 1 Coulomb charge must be stored. Hold on There must have been a potential difference of 1 volt Pay. Let's talk about its dimensions. Let's take it. Talking about dimensions Let's take it. So if I have the capacitance If you want to find out the dimensions then its dimensions Whose dimensions will come up? charge Of. And whose dimensions will come below? Volt Of. Now charge means time in current inu. So Done for time in current year in a * t. Now write it according to volt Ohms law. Can you or else the volt formula work done There is also an upcharge. So for Work Done The charge in ml2 t - 2 upon arrived. charge Will go back up. So here we have Come on, take it first, we have the charge. at. Now does this at go up and become square? Will you go? It will definitely happen. So this is what we have Solve the entire problem in one go In. So how much did it come up to us? a² t² and saved down we have ml2 t - 2 Ok? Now if this goes up then what has come We have? -1 l what has come to us Brother? Two minus one comes to l and t we have t to the power of 4 goes up and a to the power of We already have power to do that. So here we have it Dimensions of Capacitance or Capacitor Let's go. It is a basic thing. what is the charge Is it done brother? Time in current Inu. Volt What happened? Work Done Up Charge. Charge Up It's gone, it's multiplied. everything else is It is Maths. ok sir? It's done. solid The thing is. So these are our dimensions. Come Now let's take a look at a capacitor and Let's talk about some basics on that. then further We will start studying this. first a Turn this into a small capacitance Let's watch the clip. me from a nearby phone You will have to show it because this camera There will be no record. Come on. So this is our Nearby is a cylindrical capacitor from which Two wires are coming out. Now the first thing So the capacitance depends on the dimensions It depends. If you pay attention here Look, it is written here 3.15. Actually wanted to write micro farad. He has written M instead of micro. Because you can understand it doesn't matter. But here it is 3.15 micro Farads Which has an error of 5%. This is a cylindrical There is a capacitor. Now if you look at it, there is no PAUSE Ignoring my slippers. None of this There is no positive and no negative. Because any terminal can be connected anywhere I can. Now I will show you how much It charges and discharges quickly And how is it actually different from a battery? Now you know how to charge the battery. It takes some time to do it and then Discharge also occurs after a short period of time when If you are using it then it will immediately There is no discharge. But these capacitors Instantly i.e. within a fraction of a second gets charged and with in fraction of This discharge also takes place in a second. and this There is something special in this. and many more special There are things. As it stores energy is in the form of electric field. Now! We will read further in One Shot. But the battery Stores in the form of chemical Energy. First, see how quickly it charges. And this gets discharged. Now we have no idea Also a terminal this switch is on from the bottom on It happens. Now if I could do any one of these If I put the terminal anywhere, like I I put it in and it got charged. And You can see the discharge when touched. Went. Now he will not do it again. Now this Not again, I will just pass it to you. I will show you. But as soon as I put it in I inserted it and it got charged. As soon as I put this I touched it and it got discharged. again See. If I put this in, it It's charged. Even if I'm here for an hour I will keep it. There will be no further charging now. But We have now turned off the lights in this room. So that we can see what comes out from inside it. Oh brother, look at the spark inside it Try to see the spark coming out. Can. So it actually discharges as soon as it is touched. It happens. So capacitor is much more powerful than battery. It is different because it charges very quickly and It discharges. Ok? So battery capacitor is the basic one among these What is the difference? Because everyone thinks that The store is still being charged. So here It becomes a little clearer. So moving forward Are. Now let's talk now. I told We will prove it basically. Now we I am talking about a good one, this is proof. We will definitely do that capacitance these things How does it pay? Along with this also We will say that one farad is a very large Why is there capacitance? So starting Are. When you just saw a capacitor, it was a It was a cylindrical capacitor. But Cylindrical capacitors are not in our syllabus. Is. There are two capacitors in our syllabus. is a spherical capacitor and the most Only you know what is important. I think Joe is watching this one shot. a he said somewhere Not even a little bit by mistake You must have read the chapter. Whether at school It must have happened. Because Uber kid I know It comes only after the chapter is over in school It is generally. So you know somewhere that parallel plate capacitors are the basic components of this chapter It is the most important thing. If you PY Look at Qs, I'm watching PYQs right now. When I read the book, capacitors are everywhere capacitor capacitor capacitance capacitance dialectic dialectic question on itself Are. There are less questions from the potential section. Which I have already told you. much larger There is no question. There are a couple of numbers Mainly. It is not that elders do not come. But Mostly from capacitance in 10 years paper Big questions come as compared to potential. So here I have a spherical capacitor. and the spherical capacitor is given by radius and it has absorbed the charge on itself held because these capacitors Is. Isn't it? You, me, we are all capacitors. Bus Ours is not designed to be a charge store To do. Everything stores charge Can. Now how will its capacitance be Will you take it out? We all just read this chapter. in that the potential of a sphere on the The sphere which has potential The formula remains K Q / R. Isn't it brother? kq / r remains. I replace k with 1/40 I can write r. And here I have q remains. If I move q down or I can also do this that I put this whole thing here If I take it, then 4π0 Let me take r over there and from here I have q / v come. So I call this the first equation I agree. Now I will write this as the first equation Why am I believing it? You will understand now In a while. Do we also have q = cv? It happens? So from here also if I do q/v If I take out the value, I will get c. Is No? You could have done that too. You do that too We could have put q = cv here. Because you need the value of c. Now first And if I equate the seconds. So from first and second, what do I have? Will you come brother? Now here qv is equal to qv Will be done. So the value of c I have is 4π0 r will come. Isn't it? I have the value of C. will go to 4π0 R means the capacitance of a sphere is 4pi0 R This is one formula. I give this an easy I also convert it to a version so that Lets do it. How? Can I divide this by r = 1/4π0 Can I write? Everyone must know this much maths. Can go up. Now what is 1/40? We all know that Coulomb's constant * has 10 to the power of 9 and air so Your calculation should be easy somewhere Will go. Understand? अब सुनो सबसे पहली बात तो If you look at this formula, what In this formula, it should be said loudly It is being said that the capacitance is related to the radius It is directly proportional. The capacitance is directly proportional to the radius. It is proportional. Yes. और साथ ही साथ यहां पे It is also being said that those apps are on 0 It is depending. So this formula Capacitance is a function of the nature of the material Used to be. Understand? चिल्ला-चिल्ला के बोल रहा डायमेंशन पे डिपेंड कर रहा है। And also साथ नेचर ऑफ मटेरियल पे कर रहा है। Understood? Capacitors will do. फिर दोबारा प्रूफ करेंगे Does. लेकिन यहां से एक चीज और समझो। कैपेसिटेंस ऑफ़ 1 फराड। Let Us Say Let Us Say Is. तो यहां से 1 फराड = r / k आ जाएगा इस From the flower. और उस हिसाब से मेरे पास जो r है वो k के बराबर आ जाएगा। And the value of K is Is. अब आप अगर छोटी-मोटी मैथ्स भी जानते Is? अर्थ का रेडियस होता है 6400 कि.मी. यानी 6.4 * में 10 की पावर 6 मीटर। I say रहा हूं मुझे 10 की पावर 9 चाहिए। i.e should would. अर्थ के साइज से 1000 गुना बड़ा एक स्फीयर चाहिए होगा। Then go and me One fraud will be found. अब ठीक है मैंने यहां पे मटेरियल भी फ्री स्पेस माना है। and if लिए डइलेक्टिक कांस्टेंट 100 भी है। even so It is a must. मैंने अभी जो वर्ड बोला Perhaps you may not have understood because this word We haven't read it yet. But for now I I am saying, suppose I am here If I change the medium then the apps change 0 And I'll multiply it 100 times over I will increase it. In short, if one farad If I want to make a capacitance then I need to A sphere as large as one or larger is needed will be. And even if I change the materials So let's assume that something like this is calculated Let us assume that the sphere is only 10% larger than the Earth. Even if I want to make it, is it possible, friend? No, you don't understand the matter. So that is why We cannot make a single capacitor one farad. Can. But yes series and parallel combination We can use it but there is no need for that much. You will understand that gradually as you move forward, but it is Not possible. So, when will you ever face any problem in the exam? This used to happen during our time. Now come How You Can Show That One Farad is a very large capacitance. So you You will say let's lie down and then come to Radius Will go. to make a sphere of such a large radius will have a capacitance of one farad which Is it again not possible? Ok? Now like resistance, battery, cell etc. We have symbols. Just like our There are also symbols for capacitors. So If we have any fixed capacitor. Like what we just saw, a fixed It was a capacitor with fixed capacitance. Isn't it? So how to create the symbol in that case? It happens? So here we have it in that case. There is a symbol. Take care of both poles Are equal. If you have a stick that is too short or too short, enlarged, then you know that cell Or the battery will be made. And cell batteries anyway Positive is negative. you saw There is no positive or negative of a capacitor. I can put any such wire anywhere. No positive is negative. But this Has fixed capacitance. But if there I have a variable capacitor. Variable capacitor means one whose capacitance I can change it. We will read further Go to the LCR circuit in AC which we have There are radios, radios that we turn on. Let's tune in. All of them have variables How do capacitors work? We will read that too. Butt for now Only fixed capacitors are included in our syllabus. Is. So if this is a variable capacitor then Here its symbol will become like this. Understand? Sir How can it be a variable? like in this Understand this. Let's say I have a setup like this that I can increase or decrease the radius of the sphere I can. So if the radius changes then The capacitance will change. Understand? Or Some other solution. Now we are talking about parallel plate If you read it, then its area and Distance Between the Plates will come. So their By changing the area or distance, I If I could change the capacitance again and again So that will become variable capacitance. But If the pack is done, a turn is what we just saw It was packed, now I will not change it. If he could, he fixed it for me. The capacitance will be there and son finally Finally, finally, the best part of this chapter Important thing means it has as many hearts as brother If that much is given, then brother, two times a day is less. That you should give up your bread, like Ushang Sir said. But don't leave out the parallel plate capacitor. There is such a topic and further connected to it All the topics are most important in this chapter. One of the topics is going to be Let's understand Understood? what do you mean by parallel plate Capacitor? As the name suggests, this is a There's going to be a capacitor with two parallel There are plates. So we have a parallel The plate is fixed in such a way that we have connected it. would have been done and in front of this we have There is another parallel plate which we have called Stays connected. Okay, right? And what about us It has some potential or the other i.e. source. I will give it to you. Okay, right? Okay, right? Now Here we have this is a plate and here I have this one There is a plate. So both these plates are They are lying parallel to each other. in Both like if I were to do this symbolically If I show it in the form, it is lying like this There are some plates, like we just saw behind Had talked. Now between these two plates I currently have free space. So what about It's going to be constant, it's going to be Apps 0. between these two plates The distance is small d and these plates The area of ​​is capital A. you want So you can write. Let Us Take a Parallel Plate capacitor. Having small D by the distance between the Plates and large A B The area and large A B. The area of ​​the plates. If If the capacitor is having Free space and vacuum in between Let us find its capacitance. Very It is important. बहुत ज्यादा ध्यान से Hear क्या ये कहना ठीक होगा कि जो ये There are plates in between, we first I read in the chapter for a plate The electric field is σ/20 it occurs. Isn't it? और हमने ये भी पढ़ा हुआ है प्लेट पे चार्ज क्या होगा? It will be positive. Will you come? It will come negative. अब अगर ऐसा है मैं ये I will erase it. बट इलेक्ट्रिक फील्ड पॉजिटिव से निकल के कहां जा रही होगी? Negative Pay She must be going. So if the electric field Going from positive to negative If the electric field of both is same then If it is in the direction then it will be added. So if I would say that Electric Field Inside the parallel plate capacitor So what will be the electric field inside? One How much did the plate make? σ / 2 0 its sigma You will know that the surface charge density is First chapter. And how much of the other one? Will it happen? σ / 2 This is about the inside If not outside, then there is some field outside. If not, its total field inside will be will become σ / 0. What will we get if we add both? Brother, it is σ/0, will we accept it? First Also Have we read this in this chapter? that the magnitude of the electric field The voltage per unit will be between There will be distance because we have read this In the chapter that electric field is - dv / dx so I'll ignore the minus for now I am talking about magnitude because I have been. and change in voltage means voltage only occurs. You know. And both of these The distance in between is d. Now here Instead of the electric field from I can write I am σ/0 and here I will come to v /d. Now you understand what I have to remove? Don't forget the purpose. The purpose is that we Capacitance has to be calculated. So I Which of the following can be expressed in the form of capacitance? Can I convert it? So the answer is v now At present Isn't it? Or should I open Sigma? Let me do a Q/A. Like sir now look at Sigma Is. Sigma is how much charge you have in your Stored inside by area, it came And you all know that I measure voltage What can I write brother? We just read today Just read what is q equal to? c also It happens. So can I replace voltage with q/ can I write c? I can definitely write. And Besides, I already have D. so what q From q got cancelled? It's absolutely done. This Take it here and take it here. Then C The formula has arrived A / D. You have no idea what we've What did you drive? You don't even realize This is such an important formula. So That is, for a parallel plate capacitor The formula for capacitance comes to us What is that? Apps 0 a / d Ware Obvious apps 0 is the permittivity of ReSpace. That is, it shows again that the Capacitance is a function of the nature of the material It depends. The show happens again and again It shows that look at this area and D. It is depending. That is, if I plates If I bring it closer to D then the capacitance will be less will increase and if I increase the area of ​​the plate also cap, that is, again it depends Dimensions Pay and Nature of Material Pay. So For a parallel plate capacitor, we have The formula for capacitance comes Eps 0 a / d Same formula for sphere What came? What did this formula come up with for Sphere? This is the formula we came up with for the sphere. tha bro 4 0 r but parallel plate right here What have you come for? Apps 0 a / d both The flowers represent dimensions And the material is done. this one quickly Note down the formula, read it, remember it. Do something brother because everything ahead Studies are connected to this. With a bang. seconds You see most of the questions in PYQs. Will be. Ah, you will get those series and From parallel combination of capacitors. So Series and Parallel Combination of Capacitors After listening you will know the difference between series and parallel You will remember combination resistance. So It is something like that. will drive the formula And we will get a very strange formula. Reverse You will get the formula this time. Come see how First of all, if we have some capacitors We connected it in series combination. Let's say we have a wire in which In which combination have we used capacitors? Do you want to apply it? Series. So here I am, three capacitors are placed in series combination I give. यह मेरे पास पहला कैपेसिटर है। This is the second capacitor I have. This is my There is a third capacitor nearby. Its capacitance C1 is. इसका C2 है और इसका C3 है। Now you Everyone knows that within the series combination The charge will remain the same. because It is obvious that if the current remains the same then The charges will also remain the same. But their The voltage will be the potential difference between them. Let V1 be the last, here it will become V2 and Here it will become V3. We are doing this from 10 I have been knowing this. सीरीज में चार्ज सेम It remains, that is, the current remains the same. But The voltage can be different. Is. अब अगर मैंने इसको टोटल वोल्टेज V नेट Have given. Assume I have not taken this from any source. You must have connected it to charge it, right? देने के लिए स्टोर करने के लिए। So brother How much total voltage is he carrying? V Net. तो क्या V नेट जो है वो V1 + V2 + will be equal to V3? Is the V net V1 + V2 + V3 will be equal to? And obviously see उनके भी सम यहां पे आ जाता। does q = cv It happens? Yes. अगर q = cv होता है तो v की जगह मैं लिख दूंगा q / c नेट। Replacing V1 I'll write q / c1. I write instead of V2 q/c3. अब जल्दी-जल्दी सोचो कि मैंने यहां पे c1, c2, c3 तो लिखा है। But q1, Why not write q2, q3 or q? Because It remains the same. तो उससे कोई फर्क नहीं Does matter. Now here if I q/c net and from here if I take q common If I take it then 1/c1/c2 and 1/c3 will come. Now Here q will cancel out q. So Congratulations children. We have a series The formula that has come in the combination is The opposite has happened. Everyone will remember son so much No one will have a bad memory of me Seems like We all have this formula parallel The combination is read in the register. Meaning in resistances but here it Formula has come in the series. And believe me You might think you can remember this. yes. Butt watching is a mistake many children make. Because he has so many series I have a habit of asking questions. plus third If the register is coming again in the chapter The child always gets confused in the exam. And he makes a mistake. So this mistake How will it be fixed? More and more questions Practice or create questions whenever you want. If you are, say it out loud to yourself That brother, I am doing capacitor. capacitor tax I have been. I am doing capacitor. I this Initially this technique was adopted because There used to be a mistake. This is a very common mistake. You must be thinking, hey brother, what are you talking about? Is? We will not do it. But it will happen. So Whenever you have a question about capacitors, So repeatedly capacitor capacitor capacitor I have to speak. This will remind you, yes, friend. That's where the opposite happens in the series. And right here, if I ask which combination Should I go to the side? go for parallel combination So in parallel combination I have me Here the three resistors are parallel. I will use it in combination. And if I have to put these three registers in parallel If you want to connect in combination then parallel To connect in combination I Wow, I thought I was doing a lot of things I will do it creatively. Hey man, this is fun Went. So, I have these three capacitors Actually, they have been connected in parallel In. How did you connect it in parallel brother? So I connected them end to end. Brother. Isn't it? This is called parallel combination. We say so. So I gave them something like this Connected in combination. So this Comes to me C1, it comes to me It goes to C2 and it comes to me C3. Now because this is in parallel combination If they are connected then their voltage will remain the same. Its voltage will also be V. Its voltage is also That means the potential will remain V. But their The charge that is going to happen across this time is It is going to be different because the series The charge in the combination is the same because It is not divided but in parallel Suppose some charge comes from here then some It got divided here, some here, some here So here is what I said last time about V Net was written as V1 + V2 + V3. This time I am Q I will write the net as Q1 + Q2 + Q3 because the The total charge has been distributed. In three different parts. Now can I Q Can I also write C instead of '? Yes. So Q's If I could write a CV in place of Q.Net In place I am writing C Net V. Replacing Q1 I am writing C1V. Instead, I write I am writing C2V and instead of this I am writing C3V. Why did I take V beans? Same Region Because it is a parallel combination. So C net V is equal to here I have C1 + C2 + C3 So on off two. And I have V here. He has taken the common. V to V cancelled Is. So C Net is with me, congratulations kids. C1 + C2 + C3 has arrived. So this is what I have Net Fulla Joe for Resistance in the series He used to come to me in parallel. of capacitance. Meaning it turned upside down, right? In parallel, I have this formula When it came there R1, R2, R3 came in series Was. And nothing else. Ok? So questions How will you come? Some registers are given in series. Will give. Put some resistors in parallel Will give. are endlessly questioning We are on top of this. Now, suppose you give this Gave. I am not solving it right now. We do. But you will get such questions, meaning Both of them are facing setbacks in the series. It will be done. Now if this is two and this is two And if this happens in series then what is 2 + 2? Will be done? See, it said four, right? four spoke Isn't it? Did I do it wrong? I know I did wrong You have. Now this two plus two will not make four. This is a parallel combination. So 1/2 1/ 2. Come on son, that's what I'm saying. More More questions will have to be made. then go This will become a practice. Done. that'll be We have series combinations. that'll be We have parallel combination. Is it okay? Now let's move on to another topic. What is? Energy stored in capacitors. If If someone asks you what is the difference between a cell and a battery? What is the difference? I told you some difference Tell me brother that the sale is slowly Stores charge. in chemical form Does. Isn't it? Stores charge. But he should also be given a gradual discharge. Does it gradually. Charges also gradually It happens. But what about the one with the capacitor? Is it different? This charge also happens very quickly. Is. You saw it is in fraction of a second It went away and the discharge also happened very quickly. goes. Due to which its applications Battery to battery varies considerably Are. But how does it store energy? Is? So a battery means a cell stores energy Stores in the form of chemical Energy. But this electric field stores it in the form which we are currently We will read when we reach Energy Stored In A capacitor per unit volume per unit Volume Pay. We're going to talk right now How much a capacitor can hold inside itself Can it store energy? a capacitor How much energy can it store inside itself? We are going to remove this. Energy Stirred In A capacitor per unit volume numerically You will get many in the exam. Ok? Come Let's have a parallel plate from Let Us This is the capacitor. a parallel plate capacitor This is it. And this parallel plate capacitance There was no initial charge yet. Slowly slowly it charges inside itself. So from zero, this total capital Q inside itself. stores charge and its capacitance Whatever it is, it is obvious that it is C. Ok? Now you tell me which small work needs to be done. Small work will be done, small work Dunn's formula shortens the potential into There will be a small charge. How brother? because we People have read that the formula for potential Work Done Upon is charged. So small All the work is done. potential into which Small charge coming slowly here It is being stored in it. Now a little work Done in what I potential did we again Today I read that q = cv. So what am I Here instead of v I can write q / c dq Isn't it brother? So if I take q into it If I am doing this then I will take charge I'll take it, right? I will take this. One That's it. q q is the same thing. So this is my Pass work done has arrived. But this is a small Work done came which I did by storing dq charge Did. If I want to calculate the total work done So you know what I have to do? Integrating both sides will have to be done. Me Integration will have to be done on both sides. So We will integrate dw and here q / c Will integrate. and from where to where Will you go? Because I need to charge a limit Have to put it. So earlier there was zero charge. Now its The pass is charged q. Going right. So the integration of dw will be w. here Capacitance is constant. The capacitance depends only on Depends on material and dimension. Yes, that is a change It is not there. So the capacitance came out. Now what is the power of q here? Forest. Integration says add one to the power. Bring that same power down. The limit will come to zero to final charge. So 1/2c over here. will come out. Meaning two will come out. So Enter the upper limit q² minus the lower limit We will put the square of 0. So kids, finally The work we have is done and work is done only. It will be stored in the form of energy. So The energy formula is 1/2 q² / c How much energy can a capacitor store near us? If we do this then the answer is 1/2 q² / c here Pay 1/2 is half. q what is it brother? How much What is the charge it has stored and c Its capacitance is 1/2 q² / c but From this formula we can derive other formulas. Can do. Our energy formula We have already reached 1/2 q² / c. It's done. Now Can we prove more formulas with this? Are? How? क्या हमारे पास q की जगह cv Can it be written? What? Can we replace q with Can you write a CV? Yes son, I can write. One C will cancel out one C. So what We also have the formula for 1/2 CV². So this is another formula we have. Okay, now tell me how much energy we have. The formula is 1/2 q² / c. So instead of q² So let q² be q². But instead of c, can I use q/ Can I write v? Absolutely. Then q to q It will be cancelled. I will get the formula I have 1/2 qv which means I have energy stored. There are three different formulas available. If seen differently, these are the same formulas Are. But depend, as you remember. Different flowers of power came in 10th class Were. V² / R 11 12th में भी आएंगे अगले In the chapter. Power came from V² / R I² RV * I work done up time. Similar energy stores We have three formulas. if you If charge and capacitance are given then this one You will apply the formula. If you have charge and If there is voltage then you will apply this formula. And so if you have capacitance and If there is voltage then this formula will work for you. So these three flowers we have are energy stars. These capacitors have arrived. Now a big I ask a lovely question. You tell me I have a capacitor. Named CA, it can store 100 joules of energy. and you have a capacitor CB which can store 200 joules of energy and you need more and more energy It is obvious. So you tell me who Is the capacitor good? So I hope you must be saying that brother, now this The capacitor is better. but what Do we know the size of this capacitor? Hear If the energy of capacitor A is 100 joules and its size, suppose it is this much and Capacitor B is of 200 joules. But its size is this much. Now tell me who you are Will you use it? Now I will use A. Because A is giving 100 for such a small size Is. So if I use two like this So I will get 200. But how few In size? what am I trying to say To you? Energy stored in a capacitor is more Should not happen. That is needed in large quantities. We wish we had a capacitor like this. whose energy standard per unit volume Be more. That means the capacitor is not good. Which is storing more energy. The capacitor is good which produces minimum volume I'm storing as much energy as possible Is. which occupies the least space and storing more energy than our लिए वो अच्छा कैपेसिटर है। So for us More than Energy Stored in a Capacitor Energy stored in a capacitor is essential Unit Vol. Did you understand? So now Energy Stored in a Capacitor per Unit If we talk about volume, then we Look, we have already taken out the energy. No. We all know that energy of a capacitor or energy stored by a The formula of capacitor that has come is any Take 1/2 CV² from all three. But I need to release energy Sturd Unit Vol. Here we are trying to kill two birds with one stone. There are. One, we are on the energy stard Unit volume extractors. And one more There are going to be things. Should I tell you? Now Energy Stard per unit volume i.e. Energy will come straight divided by volume. So the energy stard is 1/2 CV². Now the volume Let's talk about. Because we have parallel Worked for plate capacitors. And Volume for Parallel Plate Capacitor What will happen? If its distance is d and If the area is A then it is a cuboid. Is. Here A means let's say here I have two sheets If I place it, there is a gap in the middle, then it is a cuboid What will be formed and what is the area of ​​the cuboid? What is the volume of a cuboid, l * b * h it occurs? l * b * h Volume of l * b * h Meaning, the distance into the area is also Can write. So basically I can adjust the volume What can I write? Area into Distance between plates. Now what? 1/2 because these are parallel plate capacitors I am working for. So can I replace C? Can I write A/D? Absolutely. I am of C I will write down the place 0 A / D together is V² and here is AD. What will happen to A from A? Cancelled. Now attention A little bit to hear from. 1/20 A to A has been cancelled. So here you come I have V² / D². So I call this V/D I can write the whole square of. Now V/D That is, what is voltage gradient? There is an electric field. So I have of unit volume per energy standard Formula 0 e² will arrive. What formula will come? Apps Whose formula is this 0 e²? Energy Sturd's has come. No, no, it has come Energy Stard per Unit Volume of Which Is Morant to Us as Compared to Energy Sturd. Now you tell me on the energy stard The formula for unit volume if we have 1/2 eps 0 e² came so one more thing than this It shows that the energy in these capacitors The energy in capacitors is purely electric That is, when a battery stores energy So it does it in chemical form. But one When a capacitor stores energy, it stores energy in electrical form Is. It is very important to know this. It is also asked in the exam. It's done. Done Went. It's done. It's done. Come on, come on now Our topic is distribution of The charge is coming. But why not before? We will discuss dialectic and its polarization and its Later we will talk about capacitance of parallel Plate capacitor with dielectric. reading this Yes according to me. Then we will come Distribution of charge pay. I think This slide will also not be of any use to us. Yes son, there are one topic and two topics in this chapter. And there were more. such as the Wendigraff generator and Corona discharge should be removed from our syllabus. Have gone. So we are not studying that here either. Are. But dialectics and their What is polarization? Then we went to the capacitor We will put dielectric inside. I am telling you I am this topic so much It is important that brother said as much as it will go Nor is it that insulting. Do you understand the meaning? If I If I If I talk about the beauty of the Taj Mahal, then it Tajmal will be insulted. If I were his If I go on counting my good qualities, then these will be my It's an insult because there's so much good in it. He just couldn't see my good qualities. Oh my God, I mean to say this, son, just this Is. This topic is so important that It is an insult to call it important. Because the word important is good for this. Not there. We will understand this. But to understand this You must first read Dialectics And what is their polarization? See If I have a parallel plate capacitor There is a capacitor and inside that capacitor right now So there was vacuum i.e. free space. Correct Is? Now if I put some dielectric inside it Who are dielectrics, brother? This is like this Understand that dielectrics are substances which Can be polarized. Now 11th class I read that polarize means put their positive charges on one side and नेगेटिव चार्जेस को एक तरफ कर दो। So now I just put it inside एक डाईइलेक्टिक को डाला ही है। whose here There is a plus, there is a minus. Here's the plus, There is a minus. यहां पे प्लस है, माइनस है। There is a plus, there is a minus. I just did this डाईइलेक्टिक डाल क्यों रहे हैं? So what will be? सब क्वेश्चनों के आंसर मिलेंगे। लेकिन डाईइलेक्टिक क्या है? a substance Dialectic who? जिसको मैं एक्सटर्नल Am. तो जैसे ही इस कपेसिटर पे चार्ज आएगा अंदर एक इलेक्ट्रिक फील्ड बनेगी। capacitor के अंदर एक इलेक्ट्रिक फील्ड बनेगी। And If an electric field inside the capacitor If it is made then what will happen brother? on this plate So the positive was of the capacitor. on this plate So the negative was of the capacitor. So the capacitor What will he do? These negative charges It will pull you towards itself and polarize you. Polarizing means dividing the positive and negative Keep it away. So here what we have for this inside in a way in a way just understand That we had put HCL inside it. Accept it. So when I put HCL inside it, HCL will be the first to do so. But as the plate There must have been a charge on it or suppose there was a charge So as soon as HCL was added, it started polarizing. It will happen and its positive and negative have come here Will be. But what is the benefit of this? do this Why are we living here? Let's understand when this dialectic was not in it, so what of its electric field is its electric The field was here but now that this slab So what about its electric field? The electric field of our capacitor I will give the name EC to the capacitor. Electric field was going here named EC From. But what about after the advent of dielectrics? plus to minus dielectric itself a will create an electric field which I call ED I am staying for now. Now what about EC and ED? Both are in opposite directions? Yes. If So what if it's in the opposite direction? Is the electric field overall decreasing? Yes. If the electric field overall is low So will the voltage decrease? Yes. If If the voltage decreases, so will the capacitance Will it increase? Yes. Because the capacitance is now lower Will be able to store the same charge at the same voltage. Because the formula for capacitance is Q = CV. So the formula for C comes out to be Q / V. आपने Q को तो छेड़ा ही नहीं। of capacitors The plate charge is still the same at present. But the electric field decreased. Decreased voltage due to reduced electric field it occurs. Because of the electric field The formula is voltage upon distance. is the voltage gradient. So if the voltage is low If this happens then the capacitance will increase. right now We're talking orally. We now will also represent mathematically that Here you have to do it mathematically. But we Why did you put dialectic? We have dialectic It was put because on putting dielectric The capacitance of our capacitor increases goes. It stores more charge because its voltage decreases Inserting the slab allows it to store its charge. Capacity i.e. capacitance increases She goes. तो यह फायदा होता है डइलेक्टिक Upon inserting If you want, you can write it down. I between the plates of the capacitor in between the plates of the capacitor which decreases the potential difference and Hens करके कैपेसिटेंस चेंज नहीं होता। We वोल्टेज को चेंज नहीं किया है। We चार्ज चेंज किए वोल्टेज चेंज हो गया। So हमने चेंज तो मटेरियल किया है ना। First इसके अंदर फ्री स्पेस था। Now we have its अंदर डइलेक्टिक डाल दिया। Understand? Now Does matter. मैथमेटिकली रिप्रेजेंट करता है। और ये सबसे इंपॉर्टेंट टॉपिक है। speak again I have been. So what did we do? We have a पैरेलल प्लेट कैपेसिटर लिया। Ok? We Is. इसको मैं यहां से हटा देता हूं। Took it. Ok? हमने इसको कनेक्ट कर Gave. अब इसको कनेक्ट किया तो इसके ऊपर इसके ऊपर हमारे पास माइनस चार्ज आया। Now what did we do? इसके अंदर एक डइलेक्टिक Put the slab. This is the slab. Now! फिलहाल इसको हमने पूरा नहीं भरा है। Understanding had been? हम चाहते तो पूरा कैपेसिटर स्लैब Could have filled with. बट अभी के लिए हमने इसको कुछ हिस्सा भरा है इसका। That means our डिस्टेंस है वो स्मॉल d है। But this which Can. आप इसको पूरा भर सकते हो उससे ज्यादा नहीं है ना मतलब ऑब्वियस है। And Dialectic Constant. डइलेक्टिक कांस्टेंट Should I give it? डइलेक्टिक कांस्टेंट यानी K होता था Permittivity of free space. So this is our We filled the pass. अब हमें ये देखना है कि कैपेसिटेंस बढ़ेगा या कम होगा? If it increases Correct. ये तो हम जानते हैं क्योंकि हमने पढ़ Took. But how will it grow? How to prove this What to do? Come on, understand brother. तो सबसे पहले मैं यहां of capacitors. इलेक्ट्रिक फील्ड कैपेसिटर What will happen? तो कैपेसिटर की इलेक्ट्रिक 0 Today only we talked about where he went and where he went where did it go where did it go here is σ / 2 not + σ / 2 0 so σ by what comes brother apps 0 come So here we go for the capacitor. Now you talk about slab, so slab ki aayi σ / I am not writing not here Can't because not for free space It happens, but here the medium has changed. Is. Okay, now I want to get it out here. am the total voltage. What is the total voltage now? Will it happen? of the slab. The formula for voltage is is the electric field into the distance. Isn't it? I will write it here in brackets. Too. We had proven that electric The field voltage is /x. So the voltage What happened? electric field into Distance. Now what is its electric field? Is? σ /0 Now if I have this slab inside it If it had not been filled, the space between their plates The distance was d. But right now I have filled the slab Has given. So the free space is just It survives here. Now if the free space is only If it remains here, then what is that distance? So That distance is d - t, understand? Plus me in The net voltage has to be calculated. So this has happened of capacitors. Now about the voltage of the slab. What do I have to say? Then the voltage of the slab What will happen? σ / 0 will not occur. The app will come and Its width is just t. Simple Is. So from here on in the net voltage I σ I am taking common. Or do this one I do one more step. here comes d - t Is. plus σ/do I append to k* Can I write 0? Of course I k* it I can write 0. into t now i I will take mango from here. What? σ /0 then I'm left with d - t + t over here. /k will be saved. I got this voltage The total potential has arrived. But now I What to remove? I have to take it out Capacitance. क्या कैपेसिटेंस का फार्मूला Q/V happens? It definitely happens. Now q What will happen? q होता है सिग्मा * में एरिया। Why brother? क्योंकि सिग्मा होता है हमारे Pass q/a. तो q की जगह मैंने लिख दिया σ Capacitance arrived a / in d - t + t / k I got this capacitance full. Now He was Is. अब t की कुछ तो पॉजिटिव वैल्यू होगी और प्लस में t / k हुआ है। That is, minus one छोटा नंबर हो रहा है। That means you minus ज्यादा कर रहे हो एज़ कंपेयर टू प्लस। So ओवरऑल डिनोमिनेटर कम हो जाएगा। denominator वैसे तो बेसिक मैथ्स है बट ना आया हो। Now Phil would have done it. कंप्लीटली फिल कर देता। i.e कि अगर अभी तो मैंने क्या किया था? I इसको टी थिकनेस का भरा था। But if I What would happen brother? तो पूरा अगर मैं भर देता gives Go. क्योंकि मैंने इसको पूरा भर दिया Is. तो जो इसकी चौड़ाई है वही स्लैब की भी It will happen. अब इस फार्मूले में जहां-जहां t Is. t की जगह मैं d रख रहा हूं क्योंकि मैंने बराबर कर दिया। plus t / k instead Cancelled. क्या k ऊपर चला जाएगा? So k टाइम्स एप्स 0 a / d हो जाएगा। This Do you recognize me? ये हमारा पुराना कैपेसिटेंस Is. तो यानी नया वाला कैपेसिटेंस पुराने वाले कैपेसिटेंस के के टाइम्स बढ़ गया। K की वैल्यू हमेशा वन से बड़ी होती है। 5 10 कैपेसिटेंस है वो बड़ा ही बड़ा है। Yes, if Will go. लेकिन अगर आप कुछ भर रहे हो तो इतना टाइम्स बढ़ेगा लेकिन बढ़ेगा जरूर। Understanding Went? yes. अब इसके ऊपर सवाल बहुत Are. देखिए मैं क्या कहना चाह रहा हूं You here? हम जब क्वेश्चंस करेंगे तो ऊपर काफी सवाल मिलेंगे। But you just have to क्या बताना चाह रहा हूं। We just now have its अंदर डइलेक्टिक स्लैब डाला। We did not Or it is not. Ok? If it is connected It will only increase. इसलिए कोई फर्क नहीं पड़ता। अगर कनेक्टेड है और डिस्कनेक्टेड है। These बड़ा इंटरेस्टिंग कांसेप्ट है। whom we We will do it in the question answer lecture. But Let me tell you in short. So if it's connected, is charged, connected and I then slab If I put it in, the voltage will remain the same because If the source is connected, it will continue to provide voltage. And the charge will also increase K times. but if I charged it first, then I turned it off disconnected and then put the slab The potential will decrease K times. But The charge will remain constant. Because new charges have come Will not be able to. There is no source. but some Even if it happens, the capacitance will have to increase brother. Have to grow. Do you understand? You sure Is? Moving on to the last topic in this chapter Which is redistribution of charge? It is a small topic. But again, on top of that You will get many questions in the exam. Let us go I just asked you a question, if two Connecting objects of different potentials What will happen if it is done? I have a question for you I ask again because the concept itself That's it. This is a charged body I have. Okay, right? This is some charged body. And this is also a charged body brother. Ok? This is also a charged body brother. There is a charge on this also. Let's top it off The charge is q1 and the charge above it is q2. it A is a body. This is the B body. If I am in these Both are connected to each other by a conducting wire I will connect it. So what will happen? in the mind Think. The charge on this is Q1. Charge on this Q2 Is. Obviously its capacitance C1 Is. Let's take this or CA and use it Let us take the capacitance CB. you to me I just want to tell you that if I put these two I will connect it. in the comment section Tell. If I connect these two If yes then where will the charge go from? Quick tell from. If I put these two together If I connect it then where will the charge come from? Will you go? You need to tell me what the charge is. will go Will the charge go from A to B or from B to A? Tell us quickly in the comment section. Very few questions I asked you today. The answer to this is You will have to give it. Ok? I have given hope. So the answer is we Can't tell whether it will go from A to B or will move from B to A as the charge goes From higher potential to lower. Now I How do you know who has more potential? You The material was not mentioned. You just give the size K left it. The material has not been mentioned. So we don't know whose charge is where. He is about to leave. So what are we going to read here? Are? Listen. If I connect them together If I do it then we all know the after connection Are. I have taught you today. Connection After that the voltage of both should be the same. Will go. Because after connection the same thing Whatever is there is bound to happen. That is Voltage. Because the charge travels only until their voltages are equal go. Now again today we have read that voltage What formula do we have left? Q = There is a CV. So we have the formula for V What happens? Q / C So here C is A's will come and here A has placed a new charge store Whatever has been done will come. And here also B has New charge is stored, it will come and Capacitance will come. When the capacitance changes There is no connection. So from here we A small but dangerous one. Got the concept. Listen carefully. who is QA / QB is Maths. We have found its formula CA / CB Of. You have no idea what we got Has gone. This formula is telling us something It doesn't matter who has it in the beginning. The charge was high. We don't care Whose voltage is higher in the beginning? Was. We don't mind the beginning Whose dimensions and whose material do we need? only and only Who will have the final charge higher? This from this It matters whose capacitance it is Who has more and who has less. Suppose I have this one steel or suppose this I have a material that is made of Copper is a material of copper from let's. And This is another copper material capacitor. Now we also have copper. This is also copper Is. इसका रेडियस ज़्यादा है। Its radius It is less. Its radius is greater. So if I If I connect these two together Higher initial charge after connection I don't know how much it was, I don't know what the voltage was. Don't give up, but you do know that After connection it stores more charge because it has a larger radius and We have read today that if the radius is more then The sphere will have a higher capacitance. These What is the formula saying? This formula says We are unaware of the initial condition. We are unaware of the initial condition. Us Just tell me that whatever charge you store Rahe Ho After Connection The charge you are storing after connection Who will store more charge in it? So the answer is which will have higher capacitance It will finally store more charge Is over. Okay brother, let's go now. Potential difference. That means here you A graph is given in which your Y axis Pay charge and X axis pay potential. Correct Is? Or potential difference. Now two capacitors Are. One of these is C1, the other is C2 Is. Same plate of both capacitors There is separation. That is, for both which are of D The value is there, it is the same. of capacitance Formula 0 A / D. Right? But the plate Area of ​​C2 is greater than that of C1 i.e. That the plate area of ​​C2 i.e. A2 which The plate area is larger than A1. Ok? You have to keep this thing in mind. Balance Both have medium beans. It has not been said So there is free space and their separation is the same. I have given it. Which of the following lines connects C1? and which line C2 is representing Who is she representing and why? To all Firstly, if A2 has a larger plate area So it becomes very simple that C2 The capacitance of will be more than C1. Why Will it happen brother? Because the formula for capacitance It is 0 A / D for the one who has more A The capacitance should also increase. Ok? Now If you look at this graph, if I Let me find the slope from this graph. Ok No? What is the formula for slope? The formula for slope is height, which is q is upon in base which is v. So what do I If we look at it, we can get the capacitance from the slope. Will go. Should I be seen from the slope What will be the capacitance? That means here you One more thing is unlocked. I always say I also unlock a lot of things with questions. Are there. which is the slope of q and v is equal to the capacitance. That means that sloop of qv graph which is the slope of qv graph which This is equal to the capacitance. Now Which one has the greater slope? of a or of b? So it is clear that the slope of a is relative to b. What is? Is too much. So if the slope of graph A has more slope off graph B so it means capacitance The capacitance of A is greater than that of B. Now We are told that the capacitance of C2 Should be bigger. It simply means It was said that A is more than C2. Should be. A has more. This means A Which is representing two i.e. C2 Is. A is representing C2 And B is representing C1 Is. We asked you C1 and we told you. Done Is. So a little bit like this in English The answer will be dealt with in English. Done it is here Go. next question. The Electric Potential at a point in free space due to a charge q is q * in the power of 10 i.e. 11 place The potential in q* is 10 The power supplied is 11 volts. Obviously C The thing is here q is the charge itself. you so much Volt cap potential is given. Ok? You have to remove the electric field. Now Look how he hit two birds with one stone. This first chapter and the second chapter are linked together. connects me and these are what we call Competency based questions can be said to some extent Do they give it or the real life value? It should be based but also some chapters which So if I plan here Because I need to remove the electric field. It has been said. अब इलेक्ट्रिक फील्ड का What is a formula? Electric Field The formula is kq / r² so I'm going to put What do I do with it? formula of potential I apply it. और पोटेंशियल का फ़ॉर्मूला KQ / It is R. And take out the R from here and put it there I will put it. This is my plan. Now / 40 के टर्म्स में निकालना है। q here q है और r की वैल्यू मुझे निकालनी है। q to q got cancelled. So the value of r here ये मेरे पास R की वैल्यू आ जाती है। Now this Am. Let's see what comes. So instead of K So I kept it. पहले तो K की जगह रखते Are. बिकॉज़ यहां से K से K कैंसिल भी will be. So KQ / R². तो K / 10 की पावर 11 आ गया। I have to square this. Ok? Correct Is? Now from here I have 10 to the power above So Q survived. 10 into the power of 22 Also there. And there was a K at the bottom. Down came k². 1 k से 1 k कैंसिल हो चुका है। So below k I survived. अब नीचे k क्योंकि आंसर k के It is not in terms. In terms of 1/40 Is. तो मैं k की जगह 1 / 40 रख सकता हूं। q * में 10 की पावर 22 आ जाएगा। Now 4 0 q is in. तो सी आंसर करेक्ट हो जाता। Simple लेकिन कितना प्यारा क्वेश्चन। It's done. Let us go Let's move on to the next question. The Diagram Below शोज़ रीजन और इक्विपोटेंशियल। you something Surfaces have been given. डायग्राम क्लियरली दिख Isn't it happening? Yes. अच्छा इसमें से काफी सारे सवाल विनर सीरीज के हैं। Some questions Is. बिकॉज़ नीट के पीवाईक्यूस का लेवल कुछ हद तक इस ये वाला साल एक्सेप्शन था। But इस साल तो फिजिक्स का मुश्किल आया था। So Take care. Ok? तो डायग्राम में आपको इक्विपोटेंशियल सरफेससेस दे रखे हैं। Bus The shape is different. लेकिन अगर आप ध्यान दो तो और जा रहा है 10 वोल्ट से 30 वोल्ट। So 20 There was a volt gap. In this also 10 to 30 रहा है तो 20 वोल्ट का गैप आया। None of this फर्क नहीं पड़ता कि शेप बदल गई। here The ones that have come are 30 to 40 but the difference So only 20 has come and here also from 10 If 30 comes then the difference is 20. That means every one The change in potential in case is the same Is. And if the change in potential is the same then The work will also be the same. Why brother work same Why would it happen? Because for us work What is the formula? q * Change in potential. You have read this. If you saw One Shot It is completely fine. So the charges are the same for everyone. So If DeltaV is the same then work is done for everyone What will happen? Beans. So you are saying a Positive charges bring together a single positive charge Are. So you have to tell me which of these The statement is correct that Bhaiya is in all four Cases the work done is same. This is the answer for us Do you know. There will be minimum work, there will be maximum, Not in any one. So the answer is work in everything Done, it will be the same because it is the same Going to potential. It makes no difference It doesn't matter. What is the beginning and end? If 20 There is a difference in volts. Two works done will be same. It's done. again if You've seen One Shot again, in all honesty. So I told you there that This relation is more important than derivation. Is. where we have electric field -dv/dx has arrived. Here we told you This minus sign means that If you go in the direction of the electric field The potential is low. So going here is the electric field. If electric Field is going here. Electric Field potential due to parallel up and down movement in There is no change. But go left to right It happens on So B CA has the highest Who will have the potential? Because the potential If it falls, B will have the highest. Then C and the lowest potential will be of A. Now asking A B C r the point when I Look, it is obvious that I am asking questions. Since I have come, I remember the question. But I have a habit of doing it anyway when I I look at the question. I am going to draw a diagram I'll see. So I would analyze it first. I mean what do you say about this diagram question? I want to. Then I go to options. Am. This has become my habit. It is possible This may be correct, but it may be wrong in some ways. yes. But this would have double checked my answer. Is. Ok? Let's say A, B, C and the other Three Points in Uniform Electric Field. You have to tell me what the potential is will be? Will everything have beans? No? What A What will be the maximum in? No? What in B What will be the maximum? Yes. What will be the maximum C Pay? No. So the answer is what is in B. It will be maximum. Ok? Now the variable capacitor no longer has a diagram तो क्वेश्चन पूरा पढ़ेंगे ही। a variable is a capacitor, that is, there is a capacitor Whose value can change. We him It is connected to 20 sorry 200 volts. If Its capacitance is changed from this much to This much. That is, its initial capacitance That's 2 microfarads. and which is its final The capacitance is x micro Farads. The Decrease in the energy of the capacitance which There has been a decrease in energy i.e. change in Energy is 2 * 10 to the power of -2 Jules has come. Now the thing to understand is that There has been a decline in energy. If the energy If there is a decree then what about here? Shall we plant it? Will put a minus. These Take care. You need to find the value of x. It is a very simple question. Look, if I need to release change in energy, so What will be the formula? 1/2 means change in एनर्जी का फार्मूला क्या होगा? Final Energy minus initial energy. Ok? Now Final energy means 1/2 C2 P² because The formula for energy is 1/2 CV². These I will apply the formula. And here 1/2 C1 P² Now is there anything common here? It is coming absolutely common. So change in energy I have 1/2 common coming and v² common coming Is. What is left? c2 - c1 survived. Correct Is? Now the change in energy that we have -2 * to the power of 10 -2 and v we have There is 200. Ok? यहां से c2 - c1 हो जाता। Ok? Now here What happened to Se 2? It got cancelled. Now if Two to two got cancelled and here we have Will go. तो -2 * में 10 के -4 ठीक है? There itself पे C2 हमारे पास क्या हो गया? C2 right there What happened to us? C2 we have Gone X. Ok? और C1 क्या है हमारे पास? C1 हमारे पास है 2 माइक्रो फराड है। So 10 to the power of -6 will come out. If it is micro then 10 will come to the power of -6. It's done. Now because मुझे x की वैल्यू निकालनी है। I here Are? नहीं हाफ सीवी स्क्वायर है। Square Is. सॉरी सॉरी सॉरी माय बैड। yes I यहां पे एक मिस्टेक। Well, how do I understand गया कि मैंने मिस्टेक करी? 10 here Power-4 is coming. यहां पे सिक्स आ रहा Is. और मैं समझ गया कि मैंने कुछ गड़बड़ी It's curry. Understand? तो बेटा ये भी देखो एक The beans should come. अगर मुझे कैलकुलेशन करनी You can also catch it. very good. come here * में 10 की पावर कितना था? It was -2. And यहां पे मेरे पास आ गया हाफ। And this is my Four has come near. और यहां पे 10 की पावर How much has come? Four has arrived. Ok? Now Do C - C1 here. इसको इससे काटा टू आ Went. इसको इससे काटा 1 आ गया। So basically I have arrived. So the total becomes -6. Now, it is Ok Isn't it? Look, here we have C2 How much is it? C2 we have X and this is our How much is the pass? This is what we have 2 for 10 Power of -6. Now I need to remove X. So the value of x will come from here. this here I will take it. I will take it here. then come 2 * 10 to the power of -6 - 1 * 10 to the power of -6. So basically 10 6 to the power of 1 microfarad It happens. Which is 1 micro Farad. Calculations are playing. Look at the rest Not even there. This is the potential we have. This is what we have C1. This is what we have C2. Now change in energy has been given to us. Minus Why not? Because it has been said that it is a decree. Change These energy is the final minus the initial. Finalized 1/2 C2² - 1/2 C1V² 1/2 V² Took the common. C2 is C1. We have this There is energy. Here comes the square of 200. Correct Is? Now from here we do the rest of the calculations Curry. Cut it out from this. Two has come. Four Aa Went. Cut it to -1 left and here When cut it became -6. Done. i.e. power of 10 It became -6. -1 After that all the calculations. Look at the question. Answer: Because in the middle Calculation mistake flow was broken. One Look at the bar question. Check the answer again Take. Done Done for sure. Let's come to the next question. What is the question saying? Look at the potential The question is above. Calculate the amount of work Done to dissociate a system of three charges 1 micro coulomb, 1 micro coulomb and -4 Microcoulombs placed in vertices of an Equilateral triangle of side 10 cm. We have an equilateral triangle. Correct Is? Ok? Let's assume there is a triangle And on one side of it sits 1 micro Coolum. He is also sitting on the other side of it. 1 microcooler and its third side Sitting at -4 micro coulombs. And all three Sides 1.1 There is a meter. Ok? You have to remove them How much work will be required to separate it? Use your brain. How much it takes to bring them closer The potential energy generated would be equal to It will take work to separate them. So basically You have to extract potential energy. Now remember will do if you've seen again one sure The potential required to bring the first charge Energy or whatever work has been done now, we Talking about work. First charge alone If he had come then no work would have been done. First Write the charge in English, work done in Bringing the first charge. Ok? So that So it will be zero. Now when you take the second charge You will come if you consider this to be your first You are considering this as second, you are considering this as third If yes, then when you bring the second charge it will work Done what will happen k q1 q2 / r will happen okay k Let the value of k be q1 now, we have 1 micro and q2 also we have 1 micro Is. So 1 * to the power of 10 becomes -6² and We have one distance. Ok? After this, when you bring the third one, If you bring the third one, this one will also be sitting there. And it will be sitting. So how much work will it be? k q1 1 * in 10 -6 and this is sitting here, right? So in respect to -4 * 10 to the power of -6 10 - 6 became 10 - 6 - 12. Distance Point There is a forest. And this is the work done which It happened with respect. In respect of this also So it will be the same. It will be the same. then give it to me बार लिखने की जरूरत नहीं है। take care I'll turn into into into into into into. Understand? When this If you have brought the charger then this is also sitting and this He is sitting. So whatever happens across this, work will be done. It will be the same for this also. because both of The charge is the same. The distance between both is same. So what did you do in Intu? Two. Just now you Total work done has to be found out. So W1, W2 and W3 Add it. Look at whatever is common. After that the answer will come in Joules. calculation Do it. Hey friend, it is clear. how much is this Have you arrived? Look what we have got? K and This was 10 to the power of -6. This is 10, so 10 to the power of -5. It came to us 10 to the power of -5 * a is okay? How much did it come to Say? How much did this bring to us? A - sorry a² a² 12 became 11. It's 11 now. This is also the same thing It will come approx. Isn't it? So here we come 4 * 2 = 8 came. The minus is coming. But 4 * 2 = 8 came out. So here we come Near -8k And along with it came again the same 10 ki ^ -1. Now Add all of these. Ok? So -10k - 11 and k 111 this comes to -7. Ok? So -7k * to the power of 10 -1. Ok? Balance Check it with maths. Maths is my weakness. So I always look at maths for you. I speak. Understand what the concept is? These चार्ज लाए तो जीरो वर्क डन। If they bring this, then this was sitting. When they brought it, both of them were sitting Were. The good thing is that both of them are beans. So what did we do directly into there Pay? I turned it to two. These into me to meditation Keep. I am marking it in red. These इंटू में टू क्यों किया है? Ok? Let go Coming to the next question. what are you saying brother Have a question? इसमें कह रहे हैं कि हमारे पास नेट वर्क डन निकालना है। Four networks It is kept. Of four capacitors. Each capacitor 30 माइक्रो फराड का है। Ok? every one The capacitor is of 30 micro farads. every one कैपेसिटर 30 माइक्रो फराड का है। These are our पास एक कैपेसिटर है। This is one we have Capacitor. Ok? Ok? And these four कैपेसिटर 30-30 माइक्रो फराड के हैं। And ये आपको दे रखे हैं। Ok? Give me the name. Give it any name. Call it C1, call it Say it C2. इसको बोल दो C, इसको बोल दो C4. Ok? तब 30-30 के और इसको हमने 60 The first thing you need to do is find the net capacitance. Is. The net capacitance will be removed. Correct Is? How will the net capacitance be determined? C1 and C2 is in series in parallel in series. And What is the formula in a series? 1 / C' will become 1 / C1 + 1 / C reversed No formula. Ok? So 1/30 + 1/30 So 1 / c' = 2 / 30 so from here c' What is the value? 15 micro farads arrived. Now this one above has come to us, We solved the above one. So 15 Micro Farad came. It's common sense. Below The one will also have 15 micro farads. So if If I want to clear C NET then I need the above 15 and the one below 15. So total 30 micros Farad himself came back after wandering around. Okay, right? These Both series are 30 and 30 series are 15 ads. No, this happens one upon one. 30% of this too And 15 of 30. Now 15 and 15 are in parallel. So if we add it, it will come to 30. So the net The capacitance has arrived. But what now? Want to remove it? You need to remove energy star There is in every capacitor. First thing every The energy stored in a capacitor is Will it be the same or different? The answer is it will be the same. Why? Even though both are in parallel. So Now what is the voltage across it? Has it happened? 60 because it has 60 across it It has happened, right? Look, there's 60 volts here. Is. The question says 60 volts It is installed. Now if this is so then both of these Across is also 60 volts and between these two Across is also 60 volts. Ok? If I take it out that both of these How much charge is there across? In the Because series The charge is same. So if I take it out charge Across C1 and C2 remove charge across C1 and C2 I have been. Q = CV. make a mistake here Yes children. Take care, take care. Q me We have to take it across them. Across these is C What should I take? Would I take the C30? No. Who If I want to withdraw the net charge then this entire The net capacitance of the line will come and the net The capacitance of this entire line is 15 ohms. Attention Obviously we have to keep and voltage It is 60, it is obvious. Again this answer Coming to the micro. So 10 to the power -6 Keep multiplying by. Now 15 * I will make it 60. Brother, someone from me There should not be any calculation mistake. I absolutely I don't want any more of our time to be wasted. Ok? So we have 15 * 60 Oh yes, if it comes to 900 then 9 * 10 Power-4 Coolam has arrived. Now this is the charge that It will be the same across both of these. Now I Energy has to be released. The first thing everyone What will be the energy across? Beans. Because If their across charge is so much then their The same will happen across. Because Identical This is the good thing about capacitors. Now I I am applying the energy formula. 1/2 PV² Can I apply it? I can apply C². But Total is 60. I have seen its potential across I did not remove it but I removed the charges. So I'm putting in 1/2 Q. I am applying Square / C 1/2 Q² / C. Because Q also came near and C also came near. Ok? 1/2 Q I got the square Is. Sorry 9 squared is 81 and 10 to the power -8 has arrived. The capacitance in Upon is any one It is of 30 micros. So 30 * to the power of 10 -6 We will solve this. so much energy Will go. Understand the matter. We crossed it How did the energy get extracted? Is this whole Across Net Potential 60? So this whole Across if the net is 60 then for this whole We removed the across charge from the CV. What did E take? Net capacitance of these. Now The total charge that came across these two It will also happen across it. Its across because This is in the series. So 1/2 Q² / C because I have a charge for these as well. They also have potential o capacitance. So I calculated the energy here by doing 1/2 Q² / C. Lovely question. Let's go to the next question. The capacitors each of four micro farads To be connected in such a way that is effective कैपेसिटर्स ऑफ़ द कॉम्बिनेशन सिक्स। Your How many capacitors of four micro farads each do you have? Are? I didn't tell you, right? I didn't tell you. No Address. We have to make six. I have the answer Went. come to you. I have in my mind Answer. See + 2 by. Ok? Now how will these two come? If I let me put it What will happen? ये चार है ये चार है। Now four And the series of four is It becomes two. 1/4 + 1/4 and then down We have four more that how it felt? Parallel. अब चार और दो पैरेलल में ऐड करूंगा तो छह आ जाएगा। So I will put two It's done. Let's come forward. Oh my god, brother, this It is a question of NEET. This is a lovely question. This is it Lovely question. देखो इसके लिए तो भाई जगह भी Need more. Yes. यह जो सवाल करें वह भाई ईमानदारी ओ वीडियो पॉज करो। I am here I am going. हां यहीं पे पॉज कर लो ताकि While doing it. और अब आप इसको बनाओ। Let's do it. Let's assume you tried it. There are five capacitors. The capacitance of the subshell c Is. R connected as shown in the figure. The Ratio of capacitance between P and R gives you The capacitance between P and R is now Listen carefully when I have to tell the difference between P and R. If you want to find out the capacitance, then these three should be Will go into the series and both of them will be in series and the answer that comes in parallel if I have to get across these, so if I If you want to remove it between P & R then If I have P and R then 1 2 3 these three will be in the series And both of these will be in parallel. So how much capacitance will they have? See Brother, if I solve C C then brother in series So 1/C then CC CC will give me C/ 3 here CC will give me C / 2 now Because they have come in parallel There is a direct add in. So brother, the first one The C net that is coming in the case, which I call C What should I say? I will tell you A. Ok? They How will it come? C3 ≡ C/3 + C/2 because These have happened in parallel. Now both of these The LCM of this is six. Here We got 3C in 2C+. i.e. 5C / 6 I have arrived. This is just the capacitance P and R In between. Ok? Now you have to do the same thing for P and R between P and Q instead of between P and Q. That means now you have to do this work for P and Q. between. What will happen in this? All of these have been Series and parallels happened with it. diagram We will see. If I have to do this work now P and Q in between. So brother, these 1 2 3 4 are our four. In the Pass series. 1 2 3 4 and we have this one below It has gone in parallel. Okay, right? in parallel It's done now brother. Now this is also C. This is also C Is. This is also C. This is also C. All are C. So from here we get C/4 Because all four of these are C's. And We also have this C and now this in parallel Is. So I'm naming it CB. So the one above is C/4 and the one below We have C. Again four LCMs arrived. C came up. Up came 4C. so we have 4 5C / 4 arrived. 5C/4 arrived. Done. But now we have to The ratio has to be calculated. That means we finally The capacitance which is A and the capacitance which is B has come, its ratio has to be found. How much capacitance A did we get? 5C/6 5C / 6 And here we have 5C / 4 5C / 4 He has come 5C / 6 This one has come 5C / 4 So 5C From 5C cancel this we get 2:3. These We got 2. क्या प्यारा सवाल है Brother. बताओ भाई ऐसा सवाल किया है कभी? Heart दिल पे हाथ रख के बताओ। would not have done No? नीट में हां नीट की पढ़ाई करते हो तो Must have done it. और आप मुझे बताओ इस सवाल में Nothing like that. नीट में आया हुआ सवाल Is. पीवाई क्यू स्क्रीनशॉट लेके चेक कर Take. लेकिन ऐसा क्या है इस सवाल में कि ये Can. Why can't I come? or any बोर्ड में क्यों नहीं आ सकता? Can I come? It can definitely come. What is it? Perhaps in you कि ये एनएस आरटी का सवाल है। what is this Question? Look brother. Series. So what did we do? three capacitors सीरीज में कनेक्ट कर दिया। 99 then क्या-क्या निकालना है? The first part Combination. C2 + 1 / C3 का सब बराबर ही है। So brother It will come soon. तो C नेट हमारे पास 3 माइक्रो Farad will come. This C Net has arrived. Have connected. If we had done this whole Is. तो आपको पोटेंशियल डिफरेंस अक्रॉस ईच कैपेसिटर निकालना है। Now to do this हमारे पास तीन तरीके हैं। One is Lallu Method क्या ये सारे कैपेसिटर्स बराबर Are they of value? Yes. So that's 120 volts. It will be divided equally. Isn't it? And if 120 Will go. का हो तो कैसे करेंगे? Then for that we पहले नेट चार्ज निकाल लेंगे। And obviously I am getting it done from him only. But if this is a तो पोटेंशियल भी बराबर बढ़ जाती है। But Charge. टोटल चार्ज क्या होगा? V in C* Three has come. माइक्रो में आए और टोटल Is? टोटल चार्ज निकाल रहे हैं टोटल चार्ज। कूलॉम भी लिख सकते हो। If not, then right now हमने इसको निकाल लिया। So 360 * 10 Power-6 coulomb arrived. This net charge is ours Came closer. अब जो नेट चार्ज है वो तो सबके अपॉन में उसका कैपेसिटेंस डालूंगा। Now I have a charge to the power of 10 in 360 * -6 and I have its capacitance How much is it? 9 * to the power of 10 - 6 as in I told you how much the answer would be? 40 Voltage and V2 will also come out the same and V3 will also come out the same Will come. So you have to do it and show it like this. But If MCQs came in the exam and equal If capacitors are in series then the potential It will be divided equally. If different If it was of value V1 then Q / C1, V2 would be Remove Q / C2, V3 Remove Q / C3 Q all It would have remained the same. It's done. Come on, you need it I did not lie down. Let's move ahead brother. on the next question Let's come. The next question is telling us a holo Metal sphere of radius 5 cm. is Charged truth that its potential on its Surface is so much. saying a holosphere I have charged it and placed it on its surface The potential is 10 volts. what is The Potential at the Center of the Sphere? To you The potential at the centre of the sphere has to be found. Again, if you've seen One Shot, on the surface. which is potential and which is inside Whatever potential there is, it remains the same. So Brother, whether it is on the surface or inside. both places The potential will remain 10 volts. because Potential on the Surface and Inside the Holocaust Conductor Remains Same. I have told you the reason Am. Ok? Now two or three more on top of this There are questions from different languages. look as if This is the question. In an MCQ form is also given. Look what he's saying Question? A holometal sphere is the same question. Just what form is it in? A little value wise It arrived and came in MCQ form. Say is a sphere whose radius We have 10 cm. Ok? 10 cm and on its surface The potential is 10 volts. No Radius 5 cm And its surface potential is 10 volts. The Potential at the distance of 2 cm If Its radius is 5 cm. And you will get 2 cm. Asked to take it out. It means inside Was asked to remove it. so if on the on the If the sphere is 10, how much will it be inside? It will be only 10. So there is no need to solve it Not at all. There is no need to solve No. And just like that, look, here's a question. is above the graph. Again, if you have one shot If you see, we have made the graph very beautiful. In this we saw that if there is a holosphere So as long as I measure the radius from its center It doesn't even come. As long as I am away from its center It doesn't reach its radius. Potential Beans remains. After that it decreases exponentially It happens. So this graph between potential and radius i.e. distance from The center will be built. So these three questions are same. Kind of based on the format. Correct Is? चलो आओ अगले सवाल पे आते हैं। Brother. The question is asking for two capacitors of Capacitance C1 6 micro Farad and C2 3 Micro Farad R Connected In Series. Take Yes. अभी पीछे ही बात कर रहे थे सवाल के about whether the different capacitances will be सीरीज तो क्या होगा? This is the question that came up. God listened to us and connected it. Calculated across 18 volts Six has arrived. यहां वन आ गया और यहां पे टू I have arrived. So here we have simply 1/C Net what comes out is 3/6 so C Net we get 2 micro farads. ये हमारे पास C नेट आ जाता है। after this The potential difference of each one has to be found out. चार्ज निकालना पड़ेगा। So charge you first ही निकालना पड़ेगा। Ok? So charge first Let's take it out. या तो पहले C पार्ट कर दो या स्पेस छोड़ के C पार्ट कर दो। Yours Will. अगर आपको चार्ज निकालना है तो Q = C will also be applicable. P हमारे पास 2 माइक्रो फराड आ चुका था और V हमारे पास 18 आ चुका है। So will be. बिकॉज़ सीरीज़ में चार्ज सेम रहता है। 36. तो 36 * में 10 की पावर -6 कूलम यही चार्ज दोनों के अक्रॉस भी होगा। Ok? Had happened. अगर मुझे पहले वाले के अक्रॉस काटूंगा तो 6 वोल्ट आएगा। Now if it seems उसके अक्रॉस 12 ही आएगा। the rest and remove Let's take it. Then q = c2 will come. Now q our पास 36 * में 10 की पावर -6 है। and c2 हमारे पास कितना है? 3 * to the power of 10 -6 जैसा कि बात हुई थी। Divide this by Was Needed. तो अगर अलग-अलग है तो इस तरीके से आप इन्हें सॉल्व कर सकते हैं। Done Brother is gone. Very good question. very much Good question. Ok? Come on. on the next question Let's come. जहां पर हमने अपना वन शॉट खत्म Have done. वहां पर हमने बात की है कि अगर है अगर आप उसको पूरा भरो। But the charge and पोटेंशियल के साथ क्या होता है? This is on this हुआ है या कनेक्ट नहीं किया हुआ है। So This is the question on this. Watch figure shows Two identical capacitors C1 and C2 each of two Micro Farad Capacitor. Ok? Connected Across batteries of six 5 volts. Ok? Initially S is closed. In the beginning, this It was close. So both got charged. Both Got charged. After some time S was opened Did it. That is, after charging both Opened it. After that we Dielectric slab cast. So what about it Does it make sense? It has a dielectric slab embedded in it Wile connected because one shot mein bat kare And it has a dielectric slab without Connected to the voltage. Understand? Both but there is a connection With. That means the switch is on. So for this It is on and there is no connection in it. Is. You have to tell the charge and potential What difference will the difference make? I think This is a question, so I want to give you homework. should give. But still, let's come Let's talk at the basic level. Is the capacitance of both of them The capacitance was 2 micro Farads. But after pouring the slab, how much did it cost? Is? Enter a dielectric constant of five. After inserting the capacitance of both The new one must have gone That becomes k times. So 10 microns It must have been a farad. All two capacitance asked Not there. I have asked for the charge. Ok? Now if If I say charge, what did you tell me? If the switch If it is off then the charge remains the same. If If the switch is off, the charge remains the same. Is. That is, the Q which I am writing in short Yes, now Q2 will be on the new one, it will remain the same. How much will it cost? PV will remain. So how much was C His? 2 microfarads. And how much did we Was it imposed? Five. जो भी आएगा ये सेम रहेगा। But the new charge across whom will be? फर्स्ट वाले के अक्रॉस होगा। Memory goes. तो अगर K टाइम्स चार्ज बढ़ जाएगा So whatever the old charge would be, which was this कितना कितना टाइम्स बढ़ जाएगा? five times It will increase. क्योंकि ये वाइल कनेक्टेड है और This is not vile. Okay, right? how do you make this Are you doing it? आप शुरुआत का चार्ज और शुरुआत You are working in parallel. अब हम आफ्टर का निकाल रहे हैं ना बेसिकली। Ok? of the beginning Haven't asked. आपको रफ में निकालने के लिए समझने के लिए निकालना है निकाल दो। Now हमें निकालना है पोटेंशियल। Remember Vile Is. तो वाइल कनेक्टेड जो पोटेंशियल सेकंड Will go. पहले उसका पोटेंशियल पांच था। Now पांच डइलेक्टिक ही डाल दिया। then five times Will reduce. तो 1 वोल्ट हो जाएगा। But It will remain the same. जब कनेक्ट करते हैं तो सेम remains. अब अगर आपको ये सारी बातें नहीं Haven't seen it since. Isn't it? So if connected There is no change. So that's 5 volts. Will remain. It's done. Lovely question. So, such questions to you एग्जाम में मिलेंगे। Take care. Ok? थोड़े से आसान एमसीक्यूस पे आते हैं। Then एक आध क्वेश्चन फिर चलेंगे आप। Very easy एमसीक्यूस पे आते हैं। to create a flow Perpendicular to Equipotential Surfaces. ये स्टेटमेंट बिल्कुल ट्रू है। Two इंटरसेक्ट नहीं कर सकते। This statement also It is true. इलेक्ट्रिक फील्ड लाइंस आर इन द There is a falls. वो तो हमेशा परपेंडिकुलर होते Are. तो ट्रू है, ट्रू है, फॉल्स है। True है, ट्रू है, फॉल्स है। Done. Ok? this is We did it. अगेन आपको इसमें से बताना प्रॉपर्टी ऑफ़ एन इक्विपोटेंशियल सरफेस? Give डू नॉट क्रॉस ईच अदर? These क्रॉस नहीं करती हैं। property of Equipotential surface. They Do Not Cross Itch Other. ये तो प्रॉपर्टी है। The Work Done In Is. फॉर अ यूनिफॉर्म इलेक्ट्रिक फील्ड कि हमेशा कॉन्सेंट्रिक स्फीयर होंगे। It is wrong. Are taken. दे कैन बी इमिनरी स्फीयर हो Can. इमिनरी स्फीयर कैन बी बट हमेशा It must be. This is wrong. So this one स्टेटमेंट गलत होगी। This means that our There will be an answer. Done. Very nice question. My फेवरेट सवालों में से एक। The Electric Is. आपको इसकी इलेक्ट्रिक फील्ड निकालनी It is at 102. देखो हमने क्या पढ़ा? What is the formula for electric field? Is? -d / dx. It is kept. तो जब भी आपको पोटेंशियल वेरिएबल इसी फ़ूले से आप निकालोगे। so we have इलेक्ट्रिक फील्ड आ गई माइनस। Power forward पावर में से एक माइनस होता है। Everyone knows If it is then it will come to -6x. अब माइनस का मतलब तो ऑोजिट डायरेक्शन है। and here x y z Not there. The value of x is one. So -6 volts I have arrived. -6 वोल्ट का मतलब है 6 वोल्ट है इन - x axis. Minus sign then direction Representing. So there are 6 volts in -x axis. Look, here too at 6 volts There is a meter. Here also the meter is at 6 volts. If you are removing the electric field then volt But there will be a meter. Obviously, it is a thing. The meter will be on volts. So if this is on volts Sorry, the meter is there. So brother, this is on the +x axis Will it be on the -x axis? There is a plus And there is a minus. So it is obvious that In which axis is the answer brother? -x axis In. So a becomes our answer. Done. They are saying that there is an electric dipole whose I have given you the Dupole movement. Dupol Moment I have given it to you. Here you go, Dapole Movement given 4 * to the power of 10 -9 coolam Meter is placed in Uniform Electric Field Such That Dipole Stable Equilibrium is in. Stable means θ1 is 0°. Now you have applied that dipole to the electric field How much electric field brother? 3 * in 10 ^ 3 Newton per Coulomb electric field Rotated. how did you rotate which one Should we reach equilibrium? Unstable. Now unstable, look at this question first Chapter one is mixing up chapter two. When do we come into unstable equilibrium? When theta is 180. The work has to be declared done. Say the formula for work done. PE cosθ1 - cosθ2 I have given you the values ​​of θ1, θ2, P and E. Have given. Have to solve it. No time wasting do. You will do this much. Ok? Let us go Done. This homework question is very easy. But I am asking you the previous question. Am. Very cute. previous question of I am getting you paid here. again this Look at the question. are telling you Variation of voltage and distance is given Is. You will get the variation of voltage and distance. I have given it. The electric potential V as a The function of distance X is shown in the graph. You need to know the relation between V and X here. I have given it. You have to identify this graph from it. Is. How to recognize? You need to know the voltage Identify the graph of the electric field. Is the electric field - d / dx? Correct Is? What does it mean? that if the potential There must not be any change happening somewhere The electric field will become zero. Correct? Now you can see in this area पोटेंशियल में कोई चेंज है। So this one The electric field in the area should be zero Needed From two to four. But there are no zeros from two to four here. Here also there are no zeros from two to four. But Here two to the four is two to the four 0's. Correct? Because when the potential constant If this happens, the differentiation of the constant is zero. It happens. Okay, now here's the potential. It is increasing. जब पोटेंशियल बढ़ेगा तो इलेक्ट्रिक फील्ड नेगेटिव में आएगी। because There is a minus. और जब पोटेंशियल कम होगा तो Electric field is minus minus plus Will go. जब इलेक्ट्रिक फील्ड बढ़ेगी तो जब It will come negative. और जब पोटेंशियल कम होगा तो इलेक्ट्रिक फील्ड पॉजिटिव आएगी। Its It's done, it's done. So this is how we are here brother पे ये सवाल जो है वो कर सकते हैं। Ok Brother? All the questions are answered. a question or two नहीं सारे ही हो गए। a question or two if will be. Almost all the rest have been done. It's done brother. तो यहां पर हम लोगों ने इस वन शॉट को कंप्लीट किया है। And I hope you like this ले एंड तक देख रहे हैं। I know the rest Have been. और फिजिक्स के वन शॉट तो चलो हम पे कंटेंट को यूज़ कर रहा हूं। But Have to make it. बिकॉज़ आज से पहले मैंने Made. बट इसका मतलब ये नहीं है। Next पूरे दिल और दिमाग से डाल रहा हूं। You Don't worry about it. बाकी मिलते हैं ऐसे और In one shot. How did you like this one shot? quickly एक प्यारा सा कमेंट छोड़िएगा नीचे। only then Please move ahead. मतलब किसी और वीडियो पे जाइएगा या आराम कीजिएगा। But yes, a विनर सीरीज का भी लिंक नीचे है। Both जाके आप परचेस कर सकते हैं। see you. Love You. तो आई होप ये वन शॉट आपका हो गया है Complete. आई होप आपने पूरा वन शॉट अभी तक I have seen it. अब क्वेश्चंस की बारी आने वाली Is. लेकिन क्वेश्चन करने से पहले मैं आपको वाले हैं हम आगे जाके। I am here right now मुश्किल भी हैं, कुछ ईजी हैं। Mostly Easy This is the first time today. तो आज ही अगर आप क्वेश्चन विनर सीरीज को बनाया है। Level One, Level Two. लेवल टू के क्वेश्चन अभी ना करके लेवल वन पे मेनली काम करते हैं। easy question Is. थोड़े बहुत एक दो अटक सकते हैं। Balance It is majorly easy. अ बट हां क्वेश्चंस को do it. उसके बाद कमेंट सेक्शन पे अभी के अभी जाके प्यारा सा कमेंट छोड़ो। How is one shot Put? Like the session. and more than that Ok? तो चलो अब करते हैं क्वेश्चन आंसर