Vijeta 2025 | Electrostatic Potential and Capacitance One Shot | Physics | Class 12th Boards

NCERT Wallah www.youtube.com

Brief Summary

This YouTube video by NCERT Wallah provides a comprehensive overview of electrostatics, focusing on electric potential, potential difference, and capacitance. It covers key concepts, derivations, and problem-solving techniques relevant to Class 12 Physics, including topics like potential due to point charges, dipoles, equipotential surfaces, and energy storage in capacitors. The lecture includes practical examples, problem-solving, and real-world applications, aiming to build a strong foundation for students.

  • Electric potential and potential difference concepts are explained with formulas and examples.
  • Derivations for electric potential due to point charges, dipoles, and spherical shells are provided.
  • Capacitance, dielectrics, and their effects on capacitor parameters are discussed.

Intro

The video starts with an introduction to the chapter on electrostatics, emphasizing that it is the second chapter in the physics series. The instructor assures students that all their problems related to this chapter will be addressed in the session. The session will include questions, derivations, and a formula sheet.

Topics To Be Covered

The instructor outlines the topics to be covered in the session, including a detailed explanation of the chapter, practice questions, previous year questions (PYQs), quick revision, and short notes. The aim is to help students answer questions from board exams, JEE Mains, and NEET exams.

Start: Potential Difference

Potential difference is defined as the work done per unit charge to move a test charge from one point to another within an electric field. The formula for potential difference between points A and B is given as ( V_B - V_A = \frac{W_{AB}}{q_0} ), where ( W_{AB} ) is the work done in moving the charge ( q_0 ) from A to B. Potential difference is a scalar quantity and its unit is joule per coulomb, also known as volt.

Baba Entry

This chapter is skipped due to the irrelevant content.

Baba Gone

This chapter is skipped due to the irrelevant content.

Electric Potential

Electric potential at a point is defined as the work done in moving a unit positive charge from infinity to that point against the electrostatic force. The formula for electric potential ( V ) is given as ( V = \frac{W_{\infty P}}{q_0} ), where ( W_{\infty P} ) is the work done in bringing the charge ( q_0 ) from infinity to point P. Electric potential is a scalar quantity, and its unit is also joule per coulomb or volt.

Electric Potential Due To Pt Charge

The electric potential due to a point charge ( Q ) at a distance ( r ) is derived. The work done in moving a test charge ( q_0 ) from infinity to a point ( P ) is calculated using integration. The electric potential ( V ) is given by ( V = \frac{1}{4\pi\epsilon_0} \frac{Q}{r} ). This potential is a scalar quantity and is a property of a single charge.

Questions

A question is presented involving two particles, A and B, with the same mass but different charges (q and 4q). They are accelerated from rest through potential differences ( V_A ) and ( V_B ), respectively, and have the same kinetic energy. The ratio of the potential differences ( V_A : V_B ) is determined to be 4:1.

Potential Gradient

Potential gradient is introduced as the change in potential with respect to distance. The electric field ( E ) is defined as the negative of the potential gradient, ( E = -\frac{dV}{dr} ). This relationship implies that the electric field points from regions of high potential to low potential.

Questions

Several questions are discussed, including finding the electric field given the potential as a function of distance, and analyzing assertion-reasoning questions related to electric fields and potentials in charged systems.

Electric Potential Due To Dipole

The electric potential due to a dipole is examined at different positions: axial, equatorial, and general.

Axial Position

The electric potential at a point on the axial line of a dipole is derived. The potential ( V ) is given by ( V = \frac{1}{4\pi\epsilon_0} \frac{p}{r^2} ), where ( p ) is the dipole moment and ( r ) is the distance from the center of the dipole.

Equatorial Position

The electric potential at a point on the equatorial line of a dipole is shown to be zero because the potentials due to the positive and negative charges cancel each other out.

General Position

The electric potential at a general point (at an angle ( \theta ) from the dipole axis) is derived as ( V = \frac{1}{4\pi\epsilon_0} \frac{p \cos\theta}{r^2} ). This formula can be used to derive the axial and equatorial potentials as special cases.

Electric Potential Due To System of Charges

The electric potential due to a system of charges is the scalar sum of the potentials due to individual charges. The total potential ( V ) is given by ( V = \sum_{i=1}^{n} \frac{1}{4\pi\epsilon_0} \frac{q_i}{r_i} ), where ( q_i ) is the charge and ( r_i ) is the distance from the point to the charge.

Questions

Several questions are discussed, including scenarios involving charged spheres connected by a wire, and determining the potential at a point due to multiple charges.

Electric Potential Due TO Uniformly Charged Thin Spherical Shell

The electric potential due to a uniformly charged thin spherical shell is derived for points outside, on the surface, and inside the shell. Outside the shell, the potential is ( V = \frac{1}{4\pi\epsilon_0} \frac{Q}{r} ). On the surface, the potential is ( V = \frac{1}{4\pi\epsilon_0} \frac{Q}{R} ), where ( R ) is the radius of the shell. Inside the shell, the potential is constant and equal to the potential on the surface.

Equipotential Surfaces

Equipotential surfaces are defined as surfaces where the electric potential is the same at every point. Properties of equipotential surfaces include: no work is done in moving a test charge on the surface, the electric field is perpendicular to the surface, and equipotential surfaces are closer together in regions of strong electric field.

Questions

Several questions are discussed, including finding the distance between equipotential surfaces for a charged sheet and determining the shape of equipotential surfaces for various charge configurations.

Work Done In Rotation of Dipole

The work done in rotating a dipole in an electric field is derived. The work done ( W ) is given by ( W = pE (\cos\theta_1 - \cos\theta_2) ), where ( p ) is the dipole moment, ( E ) is the electric field, and ( \theta_1 ) and ( \theta_2 ) are the initial and final angles with respect to the electric field.

PE of Dipole In Uniform E.Field

The potential energy ( U ) of a dipole in a uniform electric field is given by ( U = -pE \cos\theta ), where ( \theta ) is the angle between the dipole moment and the electric field. The potential energy is minimum (stable equilibrium) when ( \theta = 0^\circ ) and maximum (unstable equilibrium) when ( \theta = 180^\circ ).

Questions

Several questions are discussed, including finding the work done to rotate a dipole from a stable to an unstable equilibrium position, and determining the potential energy of a dipole in a given electric field.

BREAK

A break is announced.

Electric Capacitance of Conductor

Electric capacitance is introduced as the ability of a conductor to store electric charge. The capacitance ( C ) is defined as the ratio of the charge ( Q ) on the conductor to its potential ( V ), given by ( C = \frac{Q}{V} ). Capacitance is a scalar quantity, and its unit is farad (F).

Capacitance of Isolated Spherical Conductor

The capacitance of an isolated spherical conductor of radius ( R ) is derived as ( C = 4\pi\epsilon_0 R ). If the conductor is placed in a medium with dielectric constant ( k ), the capacitance becomes ( C = 4\pi\epsilon R ), where ( \epsilon = k\epsilon_0 ).

Energy Stored In Conductor

The energy ( U ) stored in a charged conductor is given by ( U = \frac{1}{2}CV^2 = \frac{1}{2}QV = \frac{1}{2}\frac{Q^2}{C} ).

Redistribution of Charges

When two charged conductors are connected, charge is redistributed until they reach a common potential. The common potential ( V ) is given by ( V = \frac{C_1V_1 + C_2V_2}{C_1 + C_2} ). The charge transferred from one conductor to the other is ( \Delta Q = \frac{C_1C_2}{C_1 + C_2}(V_1 - V_2) ). There is always a loss of energy during this process.

Capacitor

A capacitor is introduced as a device used to store electric charge and energy. It typically consists of two conductors separated by an insulator. The goal is to store as much charge as possible.

Dielectrics & Their Polarization

Dielectrics are insulating materials that can be polarized by an electric field. When a dielectric is placed in an electric field, its molecules align themselves, creating an induced electric field that opposes the external field.

Polar Dielectrics

Polar dielectrics have molecules with permanent dipole moments.

Non-Polar Dielectrics

Non-polar dielectrics have molecules that do not have permanent dipole moments but can be induced by an external electric field.

Polarization of Dielectric

Polarization is the process by which the molecules in a dielectric align themselves in response to an external electric field.

Electric Susceptibility

Electric susceptibility is a measure of how easily a dielectric material can be polarized by an electric field.

Capacitance of Parallel Plate Capacitor

The capacitance ( C ) of a parallel plate capacitor with plate area ( A ) and separation ( d ) is given by ( C = \frac{\epsilon_0 A}{d} ). If a dielectric material with dielectric constant ( k ) is inserted between the plates, the capacitance becomes ( C = \frac{k\epsilon_0 A}{d} ).

Effect of Dielectric On Various Parameters

The effect of a dielectric on various parameters of a capacitor is discussed. The electric field decreases, the potential difference decreases, and the capacitance increases.

Series & Parallel Combination

This chapter is skipped due to the lack of content.

Questions

Several questions are discussed, including scenarios involving charged spheres connected by a wire, and determining the potential at a point due to multiple charges.

Summary

The video concludes with a summary of the key concepts covered in the chapter, including electric potential, potential difference, capacitance, and the effects of dielectrics.

Formula

The instructor highlights the importance of understanding and applying the formulas discussed throughout the lecture.

Homework

Homework is assigned to reinforce the concepts learned in the session.

Thank You

The video ends with a thank you message to the viewers.

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Transcript

Full transcript of “Vijeta 2025 | Electrostatic Potential and Capacitance One Shot | Physics | Class 12th Boards”. Click a timestamp to open the video at that moment. Need another video? Use the YouTube transcript generator.

0:02 my name is r i am gunja my name is gopal Pandey Hai I'm Prateek Gupta Notification The winning batch has arrived thank you so much sir For your efforts you have reached the zero to hero level I have taught Physics, I enjoyed it a lot Sir By studying with you and asking as many questions as you want Yes, some teachers must be teaching that many times Complete from start to end of the series I did it absolutely clear from my basics Got a boost and got some confidence And I too have got a hope that I too I can acquire 90 pages in bots sir Keep bringing more videos sir so that you can have more fun better future for children [music] yes you keep burning

0:48 Let's keep the fire alive you will not forget us hey guys namaskar aadab s shi akal a kem Triple S Army thank you all very much Welcome to your own Amazing How are you on Platform Physics? how are you good evening good evening Good evening everyone is very welcome how are you brother how are you chal good evening everyone good evening good

1:48 Evening good evening everyone A very warm welcome to your amazing What is the situation on platform NCERT wala? Here is Triple S Army, let's chat quickly Everyone in the box with full energy Show your heart, show everyone's heart It should be read in the chat box, brother. how are you how are you good evening good Evening good evening so the day I am waiting for That time has come again, that is today Physics is going to be in the winner series Chapter number two, there is a lot in this chapter friend All the kids are very upset that friend what we have to do how we have to do it There is no solution to all your problems Today's session means in today's session Hum tabad tod full on energetic mood what are we going to do to you in Let me tell you that in today's session there are many

2:34 All of them are going to be questions Derivations are going to happen to you previously I am going to get all the questions solved I am also going to give you the formula sheet. I am also going to give you the PYQ files I have some dangerous 3-4 surprises for you There are also today's session quickly once My lovely triplets in the chat box S Army should become OP once in the chat box how are you how are you first of all you I would also like to say thank you very much to everyone that all of you have listened to the previous lecture Everybody has given me so much love has commented a lot and shared a lot I liked it and it broke me a lot If you all liked it then thank you very much for that Today's heartfelt gratitude to Triple S Army The session will also be kept exactly the same so that all of you

3:20 Let today be a memorable day for So come to class, let us go through our today's session let's start it yes what's up friend Triple S Army Oi to sir in today's class What are we going to do first Son, we will do the work of the whole chapter we will give a detailed explanation as did absolutely zero in chapter one We will start from level 1 and reach up to Hero level We will take it with us, that is, whatever boards you want There should be a question of JE Mains If there is a question in NEET exam then you can answer those questions. Be able to solve the questions with ease After this, we are going to do the next thing. A barrage of many questions I will then practice for the previous year There are a lot of questions to be asked and then We all need to do a quick revision That means in today's class I will tell you the most

4:06 I will teach you in detail in the first chapter P Y because I will get it done and in the last to all of you Short notes of the entire chapter as well I will also revise the chapter quickly I will get it done and then we will finally Yes Bhai sahab, I will say goodbye to the lecture now Till then if you all did not like the lecture If you did, then quickly like all your posts Spread this lecture among your friends that brother Our entire Triple S Army is should gather here today Ok so sir for a quick session What is the first thing to do? The first thing to do You have to include yourself in this Triple S Army you have to include it means till now if you all by

4:59 I will tell you about this in a little while I am going to give it on the channel so if till now son If you have not joined then quickly do this It has started on T and the ending is assumed to be Ok, I will complete the class of about 6 hours I will try to do that around 12:00 pm People please complete this session and wind down get it up and maybe a little earlier than that This session of ours should also be completed Look my purpose in the winner series is always this

5:46 It will remain that friend whatever chapter I teach I will tell you not to do anything other than It is not needed, okay let's move ahead sir See what you have to do for today's class Some of our strategies that I shared with you I had shared it once in the previous class also Quickly I will share it again here that sir what game do you want to play here The first task is to attend the class completely i.e. if you're starting right now, right? You have to be a winner, a winner is not the one who Start watching the class from the beginning The real winner is the one who starts from the beginning looks after the class from beginning to the end and at the end because it is inside him I have the passion that anything can happen but I will not stop i.e. this Pushpa two

6:31 Inspired by the movie Hum Log Bas Ek We are learning the same thing, any condition will come Sir but I will not bow down, otherwise I will be the winner who will stand by it till the end After that you should be in full concentration No back and forth in chat Will do only and only related to studies we will talk you should have a pen There should be a separate copy and brother in the ear sir can you wear earphones ok so that your The concentration is only and only this You are relying on Pandey ji and his The last thing to do after this is to keep a water bottle with you. Keep a bottle with some lukewarm water So otherwise normal water will be very good keep a bottle of water for a little while You can drink every sip whenever you feel like it Feeling like doing something a little refreshing If yes then it is right, no tension at all

7:19 We will take you from zero to hero level Nishtha Mishra is going to read it, show me I am in trouble and saying sir love from I am also a resident of Sultanpur I am going to spend the whole of UP and the whole of India Hey, now it has become mine, my friend, isn't it? there is no problem with that completely India yes now the question comes sir what is the strategy So, I will tell you the strategy first of all Di which is final that anything will happen from now on You are starting but you are not getting tired Don't be afraid, you will never lose courage You are not the one that means ultimately Pushpa Bhau If it is said in the form of then anything can happen The brother will go, I will not bow down, I will not bow down keep this in mind right here now What will you do first, you guys, winner son? will you attend this lecture okay Will you attend this lecture of the Vijayeta series because I am going into a lot of detail

8:04 I will teach you what you will do next As soon as you wake up tomorrow morning you will start reading chapter two. mind map lecture In the lecture, I told you the whole The chapter has also been revised along with You can find PY cues here too It is 2024 right 2024 just the latest Joe P Y because they were all P Y cuz I have done it in the mind map series here hey everybody quickly tell me one thing that friend you How many of the children have I have watched the mind map lecture of chapter one The chat box catches fire once in a while The chat box should catch fire at least once I want that yes sir you said it in the last class and I saw the first lecture on mind maps I took it because I know that lecture. Lakhs of kids have seen it, haven't they? It got a lot of views right

8:51 Look kids here in the chat box Quickly all of you friends, set fire to those who I saw the first lecture, the second one is about mind maps You all will watch the lecture tomorrow morning, I will write it down To you Look now, class 12th Physics paper has arrived So here we were asked that Sir what What kind of strategies should there be?

9:37 These are the things that come up in the exam So you will find all those things here, right? If you are going to meet then CBSE has announced class 12th physics exam date 21 feb right with less than three months left students R Preparing Rigger Asli Shailendra Pandey Faculty at Physics Wala has compiled a set of repeated questions to add your Preparation means giving strength to your preparation You can also find this article to make a break I will go and just now I am going to read this article your own that

10:29 Read and this is possible only with your love If it is right then I will share its link with you You will get a lot of help chapter wise You will get an idea of what is going on It is to be asked about the arrival of what things Chances are highest in board examination There are more rights so I love you all my friend Things become possible only with everyone's support now let's go ahead and our

11:17 Let's start the chapter by breaking it down In the bar chat box again friend everyone is heart Show me, then we will be full on energy Start this chapter with here I will do it right, quickly, quickly, look at it Sir, look what is potential difference Friend, what was the electric field? These are us You have read it in the previous chapter, right? But we're going to move ahead with that if Suppose there is a source charge q, this charge son his own electric field around If any electric field occurs in this You will bring another charge from here to there If you get it moved then it is obvious that some work will be done So you will have to do it like this one there was a q charge around this q charge Say it has its own electric field And in this same electric field, if you

12:02 You will also bring the charge and move it here and there Get it moved, you have some work to do I'll definitely have to do it, okay, so now here This is what happens if a test charge whose Why is the name not there, that is the first question Sir what is this test charge Son, no such charge is made dum china tapa ka dum dum china tapa ka dum dum China Tapak Dum Dum China Tapak Dum Dum Touch Kiat what is this happening brother teen tapa ka dum dum this what is happening touch ki tuiya what is this I am having three T-Pak

12:50 dum touch ki tuiya Ba baba ji you touched Pak dum dum Brother, speak among us, speak, speak Speak, speak, speak among us, Babaji Our KT Army has arrived, Jai BKT Jai Army China Tpak Dum Dum Touch Ki Tiya Jai BKT Army, say Jai BKT Army Jai, tell me brother, this baba is very dangerous Yes, ours has come, I feel Baba Ji By seeing you for who you are directly Coming directly from Nola from russia Child, control your words

13:36 Child, you are not understanding, Baba is getting angry Only then will Baba make you disappear Baba ji, look at you, this is what I feel You Rectally what did you say boy you disappear then I will Triple S has disappeared Triple S You have disappeared, there is no class now There will be no class brother, there will be no class Hogi, everybody go to your respective homes, triple S made him disappear this boy is too much I was talking too much, I was talking too much I was making this child disappear And if the Triple S Army has strength now If there is power in Triple S Army then Triple S

14:22 Set the army chat on fire 108 times then I will bring this boy back, otherwise this the boy is missing forever if you want this boy back then he will go When the child comes back to this class, he repeats 108 times 108 We'll have to set the bar chat on fire, only then will this boy will be visible here only then i want to see that a How powerful is the Triple S Army of China? pak dum dum tuchaki tuia china t pak dum dum Tuki Tuia of BKT Army Jai looks like he is in front of Triple S Army I lose Gaya because Triple S Army then BKT

15:09 Army is also triple S army equals BKT Army should call this boy back now O child, appear, appear, appear ho appear come boy come triple agreed Baba ji accepted your achievements and Baba Yes this blessing to all our children too Please ensure that all the children study in our board These can set the examination on fire these are the kids these are the little ones All these kids are cute board kids All the children are going to top the exam we will top ok we will top garda We will blow away all the dust, we will blow away just this We need blessings for all our children who are fire

15:54 Put me in the board examination immediately I am teaching you, children should learn it completely. If you want this only then baba baba will take it from you goodbye ba bill baba ji baba is going Russia is ok baba let's go Russia BKT Army ki jai china t pak dum dum touch ki Tea China Tea Pak Dum Dum Touch Ki Tea Yes

16:40 Yes, so now we move ahead brother, Baba Yes, we have come, we are very dangerous ones, let's go now We come straight to our studies over and we go ahead look right Son, we started with potential The difference is fine, Babaji, for you Another surprise was one of their guests It was an appearance, brother, Baba ji had a great heart I have come and blessed you You all are no joke now Bhaiya, now all the time it's just us I will study, okay, let's go, yes Come on, let's study now, friend, see the potential What is the difference here, son? First understand this concept, if any Our charge is here any Q charge So this is the region around this charge Son, if there is any other test in this region

17:27 wants to enter the charge or we pull it and bringing it to this charger So it is obvious that we have to do some work, friend. because it is a positive charge The test result for the son is also positive There is a positive charge near it If you come, you will have to do some work, that is that if this test charge is taken from a to b If you want to come, you need something You will have to work and only that work which is done This is what unit charge is, son When we talk about potential difference then b the potential of a point minus the potential of a point Potential that is equal to work done in moving the charge from a to b divided by the test charge q no that means sir What is the concept of potential difference that is if you are inside an electric field Transfer any charge from one place to another

18:12 if you want to take it then like this Whatever work you have to do, that work done divided by the magnitia difference potential difference which There is a potential difference, son, which occurs this is a scalar quantity it is Simply a scalar quantity and its units that if I talk to you then its unit Our unit is joule per coulomb. It happens that is joule per coolam like this Its unit is sir potential difference what is the potential difference between two Points in electric field may be Defined as the amount of work done in moving a unit positive charge from one point to against electrostatic force i.e. that this charge is rippling it

18:57 Inspite of that if you tell him about this floor If you have come against me then son, something or the other You will have to do the same work on getting it done Unit test charge which is ours is called potential difference to potential difference This formula will be useful for you ok take care vb0 has potential that is equal to work done in moving the charge from a to b divided buy test charge q no next concept ours yes sir what is electric potential son simple solution of electric potential It means that if we pay any charge Infiniti to Infiniti Electric want to bring it to a point inside the field If you have to do any work then that is no age Assume the electric potential is This is the electric field of any charge Suppose it was of some charge, what was yours there was an electric field and this one

19:44 What do we do in the electric field? want any other charge which is now It is at infinity and that is your test. If there is charge then the charge which was at infinity The one you were considering as test charge in bringing the charge from here to this point p what is p point sir the point with p At the boundary of this electric field, there is no there is also a point that is just us Any one of the electric fields inside We will bring this no charge to the point If you want then sir you will have to do the work for this bar that is known as electric potential then the electric potential is divided by v denotes that is equal to work done in bringing the charge from infinity to point p you can calculate the distance from infinity to point p you want to bring the charge divided by q0

20:30 If you do it then we will make it electric We know it by the name of potential, sir What is Electric Potential? Electric Potential Potential at a point in electric field is the amount of work done in moving a Unit positive charge from infinity to That's the point against the electrostatic force means you are against this force If you pick up any charge from infinity, son If you are bringing it to the electric field then the work has to be divided by test charge We call this electric potential and if inside the electric field from one point to another you go inside the electric field from a to b If you take it then whatever work you have to do But we will charge for the unit test people call it potential difference if this Understand both the points very crystal clear If I have come in then once in the chat box friend

21:16 Set it on fire, everybody will know from this that Yes sir, I understand both these concepts. son it's alright, the potential difference is fine It meant a point in the electric field The work that goes into getting to the next point it may fall okay he came here and Potential means when a point is drawn from infinity to any other point. We want to bring the charge to the point so the work that happens here is Your that is your electric potential right now I will also get its derivation done by you guys Do not worry about anything at all Started from zero level and took it to the top okay you all will go to concentrate your energy Keep it up, okay, we are doing everything possible Try to maintain your energy ok if you get tired then there is more for you There are some surprises, I will reveal them now I will do it slowly but ultimately see

22:01 I have started from the beginning and will love you all till the end You just have to stay alive, that's the main game, son right so let's move on to electric Values such as the potential due to a point charge Here son, any one charge is Q, this Q charge has its own electric field of this charge q what is your electric field now In this electric field, if you assume that If you want to bring any charge, take that too Where from infinity that means here Was there any charge on infinity ok which one The charge was test charge was sir test charge What is any charge that has its own Magnets are very small in comparison to men The charge should be given to him son, we will charge for the test okay one by one now i am going to do the same I am coming towards the potential in detail

22:46 Let me explain to you the potential of what I say listen very carefully son ok complete it I know the whole thing from the very basics, son I'm telling you, just listen carefully You will 100% understand this derivation Any one charge q had its own charge q what is this electric field bro The electric field around any charge If it happens then we too accepted that Brother, around this charge it has its own complete is the total electric field of okay and There is some other charge q0 which is very small is a charge which has its own electric field Only that person is negligible, son of us This test is known as test charge If the charge is projected from infinity to a point you want to bring it to p which is this main one is at a distance of r distance from the charge then there The work that goes into getting it from here

23:33 That is the work of our electric potential It is called now friend you all know that Sir electric ag work us sir calculate If you want to do it then the formula for work is simple that is force into displacement hai na to Force Multiply by Displacement Us If you want to do something here then just do one thing See when you do this charge continuously You must be bringing it to some point Imagine this charge, on this charge, son Tell me quickly where the force will be deployed will it be placed on the left or the right if this It is a positive charge, this is also a positive charge So which side should the floor be placed on this All of you quickly on the left or right Tell them quickly, tell everybody that Sir, who Will the floor be placed on the left or right I will try to tell you quickly, is everybody there? Tell me friend will the floor be on left or right When I feel it, everyone said, Sir, it is feeling like floor

24:19 it looks like it is on the right side now if Son, the floor looks to be on the right side and you take the charge on the left side If you are coming then obviously this force is coming This is the force you're working against wants to move the charge here but you by pulling it in the opposite direction If you are bringing it then you have to do this work, son this will be work done by the If the external force is okay then let's assume Buddy late charge q don't look with language i I am telling you why is there late charge displays by We have got the DX1 replaced Very small displacement too

25:05 dx4 * displacement * k theta theta how much Look, the floor looks like this side But the displacement that you are doing is you are getting it done on the left side Displacement happened on the left side floor It looks like on the right side, so in between these Son, the angle has become 180° because these two is just in the opposite direction of cos10 If the value is -1 then the delay is very careful Check whether that value is - f

25:57 dx-data-grid What will be the force k q1 q2 Whole Square of Divided by Distance Multipla Ba dx1 up 4 pa n q1 q2 / bar r s equals If the distance between the charges is x then in this way k q q0 / x s * Here this which dx1 was there initially where was that charge But where does it finally take you? You have to come to a distance r, that is, this x

26:42 x how much was initially infinity finally What is equal to r then where is the limit How long will it take son to work from infinity to r Initially something must have happened and finally whatever This is our work that must be equal to w Is that clear to everyone? Is this point clear to everyone? I am starting to understand, look friend, we people When integration is used in any derivation limits are maintained very well You should understand sir what limit we are keeping Son, limit is always imposed on this basis is charged on the basis of the term if it is written dx3 finally this x is our vol r if it is equal then son we will call it infinity

27:28 to r will keep dw01 * q0 we will throw the people out, save yourself inside will be yours x to the power of -2* Sir, what is its integration, I will tell you I am telling you, look, the child who needs integration He doesn't come, he just remembers one formula I mean integration of x over n Son, it becomes x^n+1/n+1, look at this

28:14 Do you know the formula or not If we want to integrate x^n then x^n + 1 / n + 1 and in the formula similar to this you just put -2 in place of n just what in place of n keep it -2 because -2 is put in power as soon as you put -2 in place of n, the value of x will be Power - 2dx will be formed here power of x will be formed -2 + 1 / -2 + 1 is -1 then it is x power -1 / -1 which can be written as -1 / x If yes then we will do the same thing here. We find the value of its integration which we have I solved it there directly I will write 1 / x and the limit will be infinity from r to i.e. the value of our work Only limits have been set in front of us

29:00 If there is a delay in applying then come to work I will give you the value by taking it out exactly If I show it to you, then you will understand the value of your work - k q q0 minus k q * q0 okay this will be 1 / r - 1 / infinity 1 / r - 1 / infinity this If the term is created then the value of work will come minus k of k is equal to q0 divided by r Because the value of one upon infinity is zero i.e. if I do not do any one of the If I were to charge any one charge if I want to bring it from there to here then I How much work has to be done very carefully Everybody will understand this thing very carefully you will understand that when I place a charge there

29:45 if I want to bring it from here to here then I how much work do you have to do ok ok look at one more thing -1 / x was here But there will be a minus, this minus and this what will happen if the minus is added then son plus If that happens I will remove it from here it will become something like this that is if I Any charge can be converted from infinity to any other charge. If I bring it to the charger then how much work do I have to do that is k k k na divided bye aa equals that clear everybody is that's clear everyone look carefully Look friend, understand everything crystal clear I have come, haven't I? Everybody see it quickly. will you take it is that clear everybody yes

30:30 take a quick look Low Grate great that's right that's right so here this this This is your last slide, you guys take notes If you want to do this, note it down quickly. There is no problem with the value of work Look, the force seems to be headed this way We are getting the displacement done this side So f * dx1 180 because both are just opposite The value of cos10 is -1, so We integrate on both sides to get the limit applied from infinity to r okay w - 0 = - k q q0 and integration of power-2 of x What we have done here is that it is -1 / x so -1 / x infinity to r this one minus

31:17 And what will happen after getting this minus We have also written plus here right put the upper limit 1 / r minus Lower limit 1 / infinity 1 / infinity key The value is row because any very Large numbers such as infinity are very large the number you get if you divide it So what will be the value of our J of zero The notes are equal, brother, everyone understood hey great look whatever i am writing here You will not get all these PDF notes. So give your 100% concentration today. I am absolutely zero in understanding things. I will explain it to you right up to the top but you You are also paying very close attention to what I say You will have to listen and understand with patience Now let's move ahead, so what? con divided by r is equal to but friend We had to find out the potential, what is the potential

32:03 or here I just take one more step If I write it down then you will not see the work you have done work is stored this work is stored in the form of this work is stored in the form of as much electrostatic potential energy as You worked to get that charge to this point I have the same work in it electro tick Beta Stores as Potential Energy this work is stored in the form of electrostatic potential energy Right so if there was ever a formula for energy If you ask how much it is, then this is the formula for energy is equal to k divided by r If any two charges are placed at a distance r if they have happened then their energy is so much

32:49 is equal to and this is the electrostatic There is potential energy, let me tell you This is property of system of charge Charge this is property of system of Is there any charge or not? This is the system of charge. property because here the minimum How much should the charges be, son, minimum two There should be charges only then this formula is ours It will be valid, it is clear, let us move forward now Let's move ahead, now the matter has come here sir How do we find the value of electric potential We will get out, right? How will we get out, sir? electric potential then electric potential electric potential v which is That is our w/q0 and work key We have already figured out the value that is k q q0 / bar whole divide ba q0 q0

33:40 so q0 will cancel out your value of v she will come k k / ba r means k k / ba r This is the value of potential potential If I write the full form of k You all know the value 1/4 Pa A0 so q ba come so son any charge if here What charge is placed on the Any point at a distance p is a point But if you want to find out the potential then directly take out 1 of your 4 pi n k ba aa now say this This formula has made everyone shine instantly Tell me friend Neeraj Shalu has made everyone shine mohammad sharim khan necklace lover som yadav harsh Tell me quickly friend, this formula will make everyone shine

34:26 is it there isn't it quickly great great very good okay so This is our simple potential formula What quantity of potential came out hey sir potential is again your scalar The quantity potential is a scalar There is quantity and the son of potential If I ask you how much is the unit? The unit of potential is joule but joule per coulomb is the same as joule per coulomb Son, we also call it volt but joule We also call coulomb as volt whether the electric potential is The unit of potential difference between the two It is joule per coulomb or volt It can also be said that now the matter has come up Sir as if this

35:11 so the property of system of charge was sir But potential is whose property then Beta potential of any single charge property i.e. any q charge is There is any point around it, you can If you can calculate the potential then tell me What does potential mean for a single charge ki property hai it is property of Single charge Property of a single charge but what is this, this is minimum two There must be charges i.e. potential When we talk about energy, give us a minimum of two We need the charges, that is, till now what I have If I have taught you anything son I would teach you If I explain then understand it carefully if someone also there is q charge i am connected to this q charge Any point p at a distance p is electric If I ask you about the field then you will say sir Electric field is always directed towards positive charge

35:57 goes away and sir this electric field There is value it is kq210 let me tell you it is at r distance Son, if you tell me the force then it is obvious that you will repel it and the value of force is k times q can / r s and this is also system off has the property of charge i.e. minimum There must be two charges here Similarly, if this is q charge and this charge is q No charge was kept at a distance I say

36:44 Tell me the energy formula friend k ka kan / ba r hota hai and this is a scalar quantity again this system's If there is property then four things i.e. previous Including the chapter and today's chapter till now How many things have we read, son? Four things are correct, the link is not opening Never mind, I'll give you the link again I will give it to you, don't worry, let's move a little further is it right i will send the link again if If there is any problem with that then don't worry, it's ok Yes yes yes son it is the same thing whether it is made in dub or not talk about work as if someone Such a numerical is asked to you that why this Brother, I have kept the charge, why is there no one around it I want to bring the charge, tell me how much work If you have to do it then you will need this energy You have to remove the k from there

37:30 We looked at the electric field equally In the last class we read about floors. People have read these two in the previous class Things are basic, this comes from chapter one We just derived both things that is if there is any charge q and this q If there is a point at a distance r from the charge then Here the value of potential is k/r okay and this is our scalar Quantity is similar to work or do you need to release the energy that is again a The scalar quantity and the value of k are This is equal to r divided by Take a screenshot This slide is large Your concept is very important here It should be crystal clear, okay this thing I don't think you should have any doubt at all, son. It's okay, let's move ahead Shivam he is saying sir notes can i be with you

38:16 Look friend, I will make notes with me, don't do that Make sure you focus on understanding things 100% right now Do all of this in PDF notes to you As soon as it ends you will find it there immediately it will be fine for you don't worry don't worry Great, now our brother CBSE has come A P Y K A asked in 2024 all previous year question papers quickly People look at this question and answer it but Before this, I will revise one more concept for you. Should I get it done like we read, son potential difference which is potential The difference that occurs is work done upon test is equal to the charge, that is, if You should always find out the potential difference If it happens then you take out the work brother, if anyone

39:02 It's like we have brought the charge from A to B Suppose this is our point a, from here we If you have brought any charge to b then here The work we did to bring it from here to here Divided by the charge we came up with had you brought the charge with you so this would give us these the potential between the two points Tells about the difference exactly the same If you are ever told on the pattern that friend If I tell you the value of your work then you will say Sir The value of work has become this, that is q0 * delta v means if you put any charge into a if you want to take it from b to is the potential difference if I add a charge to it What will I get if I multiply this by ? It goes son, you get the value of the work done okay and this is the work done with your energy It is equal to right, this is your work done Energy equals the same concept

39:47 based look here there is a question We will read the question very carefully saying two particles a and b of the The mass of both the particles is same son it is same but having charges q&a 4q means the first charge is q And the other charge is for 4q, son equals okay they are accelerated from Rest Through Potential Difference va2 is accelerated by potential difference That means, on the earlier charge, we how much work have you done that is equal to charge What was the multiplier potential difference that was There is 4q and potential difference point how much has it become

40:35 If you pass vb0 potential difference then How much work do we have to do q delta v right is equal to same thing here also Sir, now he is simply telling you that Brother the work you have done is true that it is at Both have the same kinetic energy which is Energizers are the same as both Tell me the value of the ratio of potentials. You have 45 seconds, everyone think carefully will answer let me tell you because Being asked for both charges The kinetic energy is equal to Meaning the work we would have done on both If the work is also equal then q * va41 * vb9 will be cancelled, I am asking va-vb is va-vb

41:23 4:1 is showing a lot of attention Everyone from answer I will check it, brother, check it. Both are particles that have no mass at all it is same right they have charges q and 4q Respectively they are accelerated from Rest Through Potential Difference va2 va2 * *vb9 that they have atan same kinetic energy if both kinetic energy of is the same means we have I have done the same work on both, so both Make the value of work equal among your sons two then q * va41 * vb.bet

42:27 The kids did the right thing, the rest did the wrong thing I did it son q and 2q I did not give q and 4q was given, something to be understood carefully but it doesn't matter there's no problem You don't have to worry at all, we will move forward we will quickly solve all the questions will solve it fine Is okay okay now let's move on now What is our next concept? Potential gradient See Gradient term Whenever it is used it has a meaning slope okay so if I tell you that what is the potential gradient then your One thing should immediately come to your mind The concept should come that brother, potential gradient which is the potential gradient which

43:12 is it means that There's a b somewhere in between There should be potential difference dvvnl.org q they are bringing no charge and that too from infinity

43:59 We are bringing it to some p point When you pay any charge you will get it q were going to bring n to some p point So now we have the potential derivative at the back I did it son, we have the potential Please understand this thing carefully when You bring the charge from here to there You can charge at any point in between If you check this then you will know about this charge But sir the force that is being felt is due to this charge It seems far away because both are positive charges are positive charge this ones What is Ripple doing to the positive? And here you are coming with a charge In the opposite direction i.e. displacement What is going to happen is in the opposite direction The force is towards this side, so the work is for Son, remember the value that was - f

44:56 dx-data-grid Just think I told you this in the last What was mentioned in the chapter, any charge If it is in the electric field then son force will be applied qe2 Electric field of this charge I am getting the charge with q0 this charge is coming into the electric field of if he If you are coming into an electric field then friend force will be applied right qe2 that is, if I write d ba q0 and its value-

45:56 is equal to that means the potential The negative of the gradient is Provides the value of electric field i.e. the electric field is defined as Negative of potential gradient e = my Of Either one of the two will be positive or the other one will be negative what does it mean if If I talk about the electric field If the electric field is moving from here to there If it is there then it is obvious that there is high potential here and on that side, son, take the potential there will be high potential here

46:44 This concept says that there will be low potential Electric field is always from high potential it flows towards low potential Where did we get this concept from? You got it from the potential gradient, right? This concept was derived from potential gradient that the electric field is always at high potential flows from higher to lower potential Everybody should understand this thing quickly Everybody please understand this thing carefully look carefully i haven't liked it yet You guys have made a video, so quickly everything People will like and share it Of Great Great yes okay son okay look here I am

47:32 Let me explain it to you once again, now People have done a complete derivation behind it it was okay and in that derivation we I read that brother we have no charge Why are they coming with a no charge too? was on infinity, from infinity we are q guys Coming towards the charge, bringing that charge right when you come with a charge Dude, you have to work Because this charge is repelling it but we forcibly pulled him here You are bringing it towards the value of work, aren't you? done - f If dx1 is brought down then this is what happens Unit test charge work on gaya na work done What did you say about the unit test charge on done? potential difference dvvnl.org

48:27 That means if you accept it, accept it If you know the value of potential then you can you calculate the electric field of minus If we know the ile field then we can calculate the potential yes I know the potential son so electric The value of a field can also be extracted These two are related to each other If you know then the other person can be 100% calculated because both are compatible with each other

49:12 we exist to complete each other Let's do it, it's right, it's clear, what's the matter what a great thing friend great is right Come on, no one has any doubt as of now If you have any doubts about what I have taught tell me quickly Friend, if you have any doubt, tell me quickly Is it clear, tell me quickly as much as possible Have you got any doubts in what I have taught? If yes then tell me quickly

50:22 ok i posted it on telegram It is for you people See you later but not now because of class after ok after class see nothing else Come on now let's move forward Right, okay, now it has come to us, look what do we have to do with questions The value of potential is given by saying electric potential is given as a function of distance, that is, the The potential is dependent on the distance x The value of the potential is given here saying the value of the electric field At x = 1, the value of the beta potential is what we have given is 5x + 10x - Electric is telling you equal to 9 Give the value of the field at x = 1 Tell me the electric field at x = 1 if

51:07 Potential given is electric field If you want to find out, what does the formula say e = - dv1 of dx-data-grid As soon as you see it Differentiable If you pick it up and put it, you will get your answer friend Your answer will come with a bang, son. right then e bar minus dv1

51:56 Whatever it is, it is as soon as we Differentiable There is no matching, if the answer needs to be matched So what we need to do here is x = two 2 will have to be done x = 2 will have to be done then here you would put two in place of x, and Which will be your correct answer? a will come i.e. x = 2 x = 2 The value of electric field At -20 volts the meter will be equal to electric field per unit volt There is a meter too, son, no questions asked

52:43 Do not write answers while looking at each other One should not answer by looking at each other that brother some people wrote a a a so we I also wrote this, this is wrong you people are based on logic Solve the question according to your calculations, son. Solve the question according to logic do it right oh ho ho ho ho oh ho ho ho na na No no no no it is right baba this is for the intellect What happened to your intellect today, Baba? what happened to it The differentiable here is equal to 10. okay now that's it its done 10x be here Differentiable of 10 and x will keep the value i.e. at x = 1 x = 1

53:30 As soon as we keep the electric field The value of minus will be 10 * 1 + 10 equals so now this is exactly right minus Equivalent to a meter at 20 volts i.e. the one with A Your option is absolutely brilliant This is the correct option, 93% of the people are almost Almost all our questions are absolutely correct great great great great it is right brother right yes it is right it is right look there is Saloni in the front prosperity jigna light akshi tapasya krishna Kaviraj Aditya DJ Adam Avantika Yash very much All the people are great, right? Very nice Son very good yes baba took away your intellect It seems to me that whatever is there today, Baba Ji They came, it seems they have taken away our intelligence, yes

54:26 Correct ok look at the minus option here If there was an option of minus then it would be better for us It was the best but if there is no option son then In this case, we will tick 20 only, okay Look, we can fight with the board people no if he gives -20 then we would give the one with -2 You would have done the right thing but because there were only 20 options If we have given it then we will give it only to the one with 20 I will correct it, it's right, let's move ahead now okay okay now let's move ahead and Let's move on to the next question Next look the question is again here we are saying The value of the potential this time is 3x This is equal to 'S', see the board in 2021 The question asked in the exam is saying The electric field at the point 1 02 is

55:12 know the value of potential at this point but he is telling us about the electric field Now tell me the value, everybody should think carefully before doing so Answering Right Potential Given is The potential given to us is equal to 3x s You can choose the value of electric field from these It is written on 6 volt meter along the minus x axis is in it's plus x Axis here minus here plus Tell great most kids are absolutely giving the correct answer

55:57 okay okay so if I'm here If I remove the electric field then that is Minuses of DVX200 that will be corrected to the right negative x axis The one we have will be correct, the first one Your option will be absolutely correct More than 65% of the children got it right I have answered it right, it is clear

56:42 Electric Potential and Potential I hope you understand the concept of gradient I may have come to us with a question, look And this question is also there in board exam It has been asked in 2023, we are saying Equal amount of positive energy in arsenal Negative charges are distributed Uniform On Two Hows Of The Thin Circular The ring as shone in the figure the resultant Electric field at center o of the ring is along o telling you that brother a There is a ring with half of it positive and half of it negative Negative charge is given at its center The electric field at the point will be He will be O along with this our first Arshan then within reason he is saying it is so Because the net potential at the point o is not zero is saying at the point o The potential is not equal to zero

57:29 This will be our option, everyone should think carefully People Arshan Reason's son answer it think what happens here I want the positive charge brother, son Always move the electric field away from you It creates its own negative charge, doesn't it? If you apply electric field on either side, then both The electric field will point away In downward direction, the net The electric field will go downward That means our Arshan is absolutely correct Arshan So brother, what is ours exactly, is it correct But if we talk about region then it is saying that the potential here is equal to zero it's not equal which is what's wrong man The positive charge is here Positive potential will create negative charge creates negative potential will cause o points on the net

58:15 If your potential becomes zero then your earning It is correct but the reason is wrong Which is our option son, the first one Our option is absolutely perfect, first Option 64.6% of the children answered the question perfectly You have done it right, let's go to the next question come on, the next question is telling us Three point charges, this is also asked in 2023 the question is gone look friend we are so You will practice in the winning batch, right? We will practice so much that Questions can come from anywhere in the board exams Whatever question comes to you, answer that question But for that we need a concept I am asking as many questions as I can for clarity His logic comes to your mind right away. Son, it should be clear then look here What is it saying? There are three point charges each.

59:03 of the charge q r Plesk is a c is ok in this ab5 is equal to l this is also equal to 5l and this one side is equal to 6l Telling you what we did from here is a bc6 is equal to l right saying The Electrostatic Potential at the Mid point of the side [music]

59:55 bcc950 what do you have to do here today point p But the value of net potential has to be told Look, potential is a scalar quantity Do not think too much friend, every charge take out the potential because of the addition You have to go, you have to keep adding things quickly see if I can get the potential because of this If I calculate it here then how much will k be What will be the distance divided by this If this is five or this is three son then this How much will it be friend, it will be four for 4l It is equal to Pythagoras, it is five, it is three So how much will this be, if 4k is equal then the value how much 4k/4l came here because of this If you take out your son, that will be

1:00:42 kq211/4l + 2 times kq/3l right now If you take LCM then it will come to 12l and here it will come to 3k If you come here and you have a multi of 4 then this will be made If it is 8k then it will be divided by 11k ba equal to 12l but here dude k If the answer is not in terms then you need to know the k key It has value, you will have to pick it up and think Everyone please understand and answer quickly. Till then I am keeping the value of k here. As soon as you put 11/1 l, the value of k becomes yes son 1/4 pa a0 and this one q is He will come up like this it will be done na

1:01:27 11 up 48 q up pi n in a equal to so Whatever option is visible, everyone, quickly Write your correct answer here give me the right Which is the first quick correct option? Option first option is the right one na what's the matter what is the matter Majority of the children are ours you are giving the right answer very good The best first option is yours This is absolutely the right option, how many children got it right gave me brother Children gave exactly correct answers on 97.4

1:02:12 It has been given that Shalini Priyansh is at the forefront NS Gaming Smriti Faizan Manu Srivastava Johnny bhai Ayush ok many here There are people, brother, who are way ahead and very fast These people have given the right answers as much as they want Look friend, everyone is a kid, honestly Understand each point one by one although there are many Are the kids even understanding something somewhere When a mistake happens, you guys respond immediately but there are some kids who probably don't I understand there is only one thing to tell them I would like to do each and every thing with full concentration Listen carefully and you will understand 100% I guarantee it, right, let's move forward now Let's move towards this side, look son, here only I had to find out the potential of the potential there is a formula kq211

1:03:25 if you are taking it to the side then this will happen vb0 difference which is equal to work done in moving the charge from a to b / ba q0 okay this is how we can increase our potential We will write the difference only on the boards This is the level of potential difference between you and me, son The question is asked about the right final point The potential is equal to the initial potential minus the initial potential Equal to work done in moving the charge from a to b divided by q0 now based on this Look at the question it says 100 joules of work has to be done means how much work we have done We have calculated the charge equal to 100 joules Which charge are you moving to 4 coolam the charge from a place where the potential is -10 volts from a point of -1 volt You are moving the charge to another place The wire potential is v volts where

1:04:11 What is the potential? V is equal to volt. tell me the value of v this time son The value of work is also known, the value of charge is also known also knows and is telling us that brother -10 From volt to a place with potential v, we If you are taking it then tell me the value of v So everyone please put a simple concept in place It's a simple concept, everybody should try it quickly what is the concept bhaiya what is the work our charge into potential difference then What is the charge in 4 coulomb square? 100 joule is ok the meaning of potential difference What happened to the potential minus of the final point The initial point potential, which is how much was -10 final potential minus initial If you want to do the potential of son then this will come Your 25 = v + 10 then son v's 25 = v How much did we get of v equal to 15 volts

1:04:59 What is the value? 15 volts is equal to 15 Volt is the right answer majority of children Are you giving us the correct answer? This is great friend, let's go next I'll give you the questions, okay, next. I give you the question, what is the next question? we calculate the potential at the point p due to charge this located 9 centimeters Away means any one charge is there son from him There is a point at a distance of 9 meters but it is telling us that the potential at point p Please tell me the formula for potential, son what is k equals k/r of k What was the value of 9*10 to the power of 9 charge What was the value of 4 * 10 to the power of -7 and What was the value of distance 9

1:05:46 centimeter will become meter, right? In case our nine is cancelled out, one nine is cancelled out. Jayega this will become 4*10 ki power dekhiye Son, this will go up to 10 power 11 This is -7 so this power of 10 becomes 4. will go i.e. the voltage of the point p That is what ours has come out for, which is the point with p This is our potential, it has come out, is that Is it clear that everyone has understood it? very nice very great that means if someone This is the point where we know the potential It is equal to this much near this P point Now read the question, what is it saying has had work done in bringing a charge Off 2 * power of 10 - 9 coulombs from infinity to point p i.e. if this p

1:06:33 You must bring any other charge to the point I want to know how much was the second charge it was 2 * Power of 10 - charge equal to 9 coulomb If you extend the charge from infinity to the p point How much work do you have to do if you want to bring it So you have read this concept, you will say Sir work means q v equals brother If you want to bring charge from infinity then Who will be equal to the potential, friend? equals so what is w equals our q v We will apply this formula here Which one are we bringing 2 * Power of 10 - 9 What is the value of voltage equal to there but that is 4 * 10 to the power equal to 4 so The value will be 8 * 10 to the power of -5 Joules

1:07:20 How much work will have to be done? How much work you won't have to do it, that is 8 * 10 to the power -5 is that It is clear that it is clear to everyone 100% Son, the matter is absolutely clear, isn't it everyone? Brother, quickly write CC in the chat box Please tell me if the matter is absolutely clear brother if it is okay then yes and one more thing that I I am going to provide you more like I said that there are many in this class There is a surprise for you, okay, there are still some There are still some surprises left brother, at least there is one Our Baba Ji has come, Baba Ji's surprise Have you seen we have one more surprise pass for all of you and that is P Y Q

1:08:05 files i.e. in this chapter I I am teaching you in detail, you guys You must have felt this thing a lot by now We will answer all the questions till now How many people have already asked seven questions? We still have a lot of questions to ask Whichever chapter you read, it is complete let's finish it off in a proper way right then I I am also giving you a PYQ file I am like this

1:08:54 This is the file from telegram.me, it's ok all py cues are questions son Solution Question Solution Question Solution was given as in chapter one This chapter two is on the same pattern There is a file, everyone please take it and here All of you can practice questions from here we will do it because all of you are very keen on this thing Children remain troubled in hard work batch due to this I was very upset about the thing that Sir, we had to drink Where to practice Y cues? This file is for you which will be more than enough This file is very helpful for you It's going to happen come right let's move ahead Moving on to the next question, this Look, the answer is here as well 8 * power of 10 -5 then tell us one more thing was saying does the answer depend on the path along which the charge is brought saying that By which path is the charge brought?

1:09:41 If there is any dependency on that path, son there is no dependence on path there is no Why is there no dependency on path? Just a quick look tell me no dependency on path means that you Bring the charge by any means Answer Ours will remain the same because in this chapter The work that is done in it is path dependent it is not there because electrostatic force which we have That conservative force is electrostatic The force is a conservative force It is not depending on the path here Bring it by any means if the potential If the difference is the same then the value of the work is the same it will be ok so the concept of work is Here it is a very simple work, which is that charge into potential difference is equal to and this work depends on the path

1:10:28 no matter which way you bring it ok just the potential It depends on the difference, let us come now that sir derivations from this chapter What are the first things that are asked Derivation which is expected to appear in board exams There are very high chances, look at that derivation What is our axial position i.e. end What are we going to take out in the on position are the electric potentials then if such that There is a negative charge here brother Dapor I am creating a positive charge here The distance between them is negative charge If I assume 2l okay then for this charge from the center here if there is a point from the center Our point p is at a distance r from us. If there is a point p at a distance r from the centre If we assume that at this point p

1:11:14 Son, we are going to extract potential If we want to find out the potential at point p then The concept is very simple brother both the charges Because of this remove the potential and add it friend, find out the potential because of q and also find the potential due to - q that what is the potential because of q that is k divided by distance then distance This time the charge with q will have the charge with q What is the distance from r to son - l Look carefully at this distance everyone can you see or not see it early tell me when you talk about negative charge So - k divided by the distance of if If I talk from here then that will be r + l Quickly tell everybody what is this distance? You all can see the distance between my l and r + l It is crystal clear my friend

1:12:01 It is visible, tell me quickly Tell me quickly, Aadarsh is not able to see it Aadarsh bhaiya is looking good, look here understand carefully if this has been done The distance is 2l and the son is from its mid point you can find out this distance if this middle If there is a point then this one will also be l and this one will also be l Both distances would have become equal from its mid point if you reach here look at the distance is equal to r now you look this is r this is l so this is left distance r - l is done and it is complete The distance is now r + l, so this If we have taken the distance in this way then k k son we will make it common 1 / r - l -1 / r + l will be written in this way and the one with p

1:12:47 The potential that comes at the point is equal to k q take the LCM here then r + a will come here r + l - r - l divided by r + l r - l ie That r s - l s brother a + b a - b which would be is equal to a s - b s then son it is k divided by r s - l s See from here if anything will be cancelled from r to r what got cancelled is left equal to 12 q * 12 what is, becomes equal to what quickly Comment and tell me what is q * 2l equal to It happens that you guys have studied it in the previous class then that will become k p up r s - l s

1:13:37 this is the potential of the point p this Sir, we are talking about the point with potential p what is this p, we call p as son Dapor Movement Dapor Movement means is the charge multiplied by the distance between the charges ok here is my p eq charge Multiply by distance between the charges ok p means dapor moment is p means ok now for short dapor if Dapor is too small for short Dapor If the dapor is too small then r which is very much greater than that. it will happen right If the dapor is very small then this r one The distance will become quite large if If this distance becomes very large then r s - l

1:14:23 tell me what can we write in place of s r s right then this should be your formula The potential of the given point p is k kp2 okay if I write this in full form Let me write down the value of k if I write it here So this potential will become 1/4p A0 p / r s okay so at the p point which The potential we got is 1/4p A0 p / r square so the thing to note is this that the potential is inversely proportional to the square of the distance if you go to any At a point far from the middle of Dapor Find the potential g then inversely the proportional to r s comes out

1:15:11 okay everybody see quickly is that Clear Anshul Diwari is asking sir How do you remember derivations, son? Derivations do not understand and after understanding give at least two write it down three times on a copy and remember it try to remember the meaning of brain I just need to settle him down and that's it Practice makes perfect, here you can learn step by step You can't memorize the steps that this will come here and then This will come, you will have to understand this, a child Sir is asking where did the minus come from, son The minus sign is because it is a negative charge Brother, like if there is any positive charge from this If someone asks you to find out the potential, how much brother k will come divided by distance If there is negative charge then its potential It happens that it will come negative, okay negative If there is charge then what is the potential due to it

1:15:56 there will be a negative potential That's why I have taken a minus, actually see it would have happened What happens when we remove the electric field you were in the previous chapter so there We have never done anything like this plus or I did not put a minus because that was a There was a vector quantity plus or Minus had a simple meaning and that was direction so there we saw the direction Understand carefully that friend, if a positive charge then the field will be away from it negative charge then the field will be on his side because he

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