Electrostatic Potential and Capacitance

hi hello W and welcome back to zy Channel with me your shy ma'am you people know when m is here no you're right yes elatic potential andac don't waste the time of the S so let's roll okay potential and capacit unit the long weighted unit okay so according to the new updated syllabus of neat okay so start potential capacit par plate capacitance energy stored dialectric okay so majority of the topics Electric potential first you have to understand right so we are having that internal feeling right you have lot of potential to do it we need to have thatal elri you do some work okay so formula charge into change in potential charge into change in potential okay [Music] KQ / R okay KQ r field and for example right so that means very important important so that means El electrostatic field okay I'm going to give you a v is inversely proportional to r r for so if Q is greater than Z will beting from the different different points okay because different different potentials different different of poal okay because taking a test charge as positive Q okay positive qest charge we people know when charges will be moving from higher potential to the lower potential correct negative if I'm having a negative charge and the negative charge negative charge will be moving from the lower potential to the higher charges higher potential to the lower potential way negative charges lower potential to the higher potential act a very best video for current electricity okay so let's start what I'm doing is so this is our formula so VP iser than VQ is greater than V different different charge right the positive charge will be moving from this direction in the dire so for example positive charge if I'm taking a negative charge okay for example I'm taking it a negative charge negative if F okay so Q I'm taking a negative charge okay so negative lower potential to the higher potential move V is lesser than VQ is lesser than VP the negative charges will be moving in this direction negative charges will be moving in this direction I'm changing the source as Q is lesser than zero Q lesser than Z Source V is inversely proportional to Bas so IND meaning okay we are going to do it so negative charge negative sour charge okay r r Q taking AI charge I'm taking poal v v is greater than VQ is greater is greater than VQ iser VP and now if I'm placing a positive charge I'm going to place a positive charge positive charge it will be moving from higher poal to lower potential ler so don't forget don't forget this formula is very very important okay I'm taking a negative charge okay so negative charge I'm taking a negative negative charge has probability lower potential to the higher potential it will be moving right lower potential to the higher potential so negative charge will be moving along this direction will be moving along this direction okay happening because concept of fields concept of boundaries we will be having a boundary right so in the because okay and most important is your scalar quantity so electrostatic potential scal quantity okay it is not like that done clear Aria yes so this is your major major important concept Okay so elatic poal elatic poal because I already said that means okay so listen work done okay so potential you people have to work it out right okay clear yes so now Q Source charge potential is completely depends on the source charge and the distance between them okay okay so theultimate okay now let us talk about system of potential okay so chares for example q1 Q2 Q3 Q4 Q have q1 with respect to P R2 with respect to P okay distance between Q3 and P three with respect to P four respect to p with respect to Super so V1 + V2 + V3 + v4+ V5 [Music] so everything will be added inside and you will be writing it okay so General approach okay path independent okay path independent starting point to initial starting point to final group of charges this is going to be the formula okay group of okay now potential surface is other important topic in the equ potential surface work done is equal to Q into DV and then potential is nothing but work divid by so for example um listen huh Source charge okay this is our source charge okay source Char is not like that different types of okay will be zero work will be zero poal surface work will be zero because W is equal to Q into potential at the final Point minus potential at the initial Point initial point is equal to final point automa work done will be zero and soal V final potential at the initial point is equal to the potential at the final point because V is equal to k q / r v is inversely proportional to R so conal so potential difference potential way right V VA v v differ it's very simple note that word okay distance distance these are very very important examples you have to know this is your equip potential surface equip potential surface are very very important lot of questions are asked have asked okay so will be a problem okay so work already work work is nothing but Q into Q into okay and most important thing initial and Fin important CLE now so please please share with them now okay equ so these are the point Elric properties because everything is made of at vector quantity which is charge into 2 a or 2 L or 2 R so in the electrical dipole moment okay so electrical dipole moment unless you should not write AAL 3 by2 2 AAL 3 okay okay so these are important these are important as a vector quantity and work on the systemics work by the system because work by the gas is positive okay most important that is because people know dipole moment will be opposite to that of electric field correct opposite to that of electric field electric field moment okay okay so now let's start field due to dipole okay field due to dipole we already know it is a very simple thing 180 180 electric field 2 kp/ R potential that is KP / RP RP r shorter short dipole right shorter dipole shorter dipole right shorter di or smaller okay for smaller KP will be zero soti will be [Music] equal okay it won't be having any potential so so when talking about at any any point0 2p cos th/ r potential at any point will be equal to potential will be equal to KP cos Theta divid r² KP KP cos thet r s okay okay so these are the point and based okay so now the next topic what we are going to discuss is potential energy of dipole toel okay white I can use okay so you can understand potential so whenever we are traveling for example whenever we are traveling and you people know what is potential energy is potential energy we will be having a potential energy for each at each and every point okay each and every okay so we generally we people know this work is equal to change in potential work is equal to change in potential so that is nothing but final potential minus initial potential final potius initial po11 R1 R12 q1 Q2 ided by sorry Q2 Q3 / by R23 plus q1 Q3 / by r13 so potentials are very important bedal okay your people so U is equal to minus P cos Theta U is equal to us p and you people know because unable equum okay 180° positive P which is stable equilibrium this is your stable equilibrium stable equum unstable equum okay and now suppose will be towards the field okay Motion One motion okay formula that is p cross e okay T is nothing but your vector quantity okay so vector quantity dipole into dipole moment into the electric field dipole moment into the electric [Music] field will be Z right so 18 it will be minim stable equum unable okay fet is equal Z andet is equal to Z mean equilibrium mechanical equ go and watch rotational motion okay so system of partic okay okay so okay so it doesn't mean okay but alignment is important okay now let's brush up what is a conductor okay and so let us brush up what is a conductor cond okay distribution surface charge distribution volumetric charge distribution right and most so listen steady state sigal Sigma 1 will be equal to Sig 2 into are because stud me okay so this is how you have to study and this type of questions are frequently Asked okay and El so that means electri field correct so sorry okay so toal electric field will be equal to E1 E2 equal to charge inside epon so flux will be equal eectric for electric field for a plane sheet will be equal to Sigma / 2 Epsilon okay and the next important thing is energy stored in a conductor okay energy stored or energy density energy per volume = du / DV V okay that is magnetic field half B okay so now we are going to the capacitor part capacitor electric field inside the plate is equal to Z electric field inside the plate is equal to Z electric field can be as Sig 2ep so P will be equal to electric field ID 2 epon toward the okay electric field is equal to Sigma / 2 epon sorry epon it will be written as epon again it will be getting sigep so that means okay SOA okay link description session uplo okay because right am right so the next topic is capacitance okay capacit okay one L of water okay quantity qal CV qal CTI charge is directly proportional to the potential charge is directly proportional to the potential so potential charge so that means so these are the important points and capacit it will be storing charge Char in the form of electric field okay Char DC Char and because [Music] is nothing but your capacitor positive okay because can store and then itge you will F in love with physics okay definitely you will fill in love with physics okay you will fall okay done so capacitor capacit okay 4 epon into r r radius r that is your radius par PL POS we will be writing that ASI we have to understand something which is very important concept okay so it is very important because in the topic is literally important okay very very important field will be equal to Sig total electric field will be equal to Sigma by 2 epon Sigma by 2 epon that will be 2 Sigma / 2 epon okay will okay sigep okay electric field between the plates SOI important we people know there is a relation between potential and electric field because capacit Cal to V people know Q is directly proportional to V connection potential will be equal to minus of electric field into change in distance will be equal to Sigma / epon into D okay the Sig Q so Q / a okay so this is your potential of capacit Q Q / does not depends on any charge or any potential clear this is the formula and effective overlapping effective Calon a d a effective it is the effective are okay listen okay he okay so sogy c s this is energy Q by V into v² so Vare can C half C into Q ² / c² okay your potential is constant when charge is constant when capacitance is constant and the next important thing energy stored per volume okay energy ener stored volume energy stored okay so now let's talk about force between parall plates electric field okay so force between plates because positively charged negatively charged force between the plates force of one Sigma ID 2 epon and we know force is equal to e into Q right e sig 2ep Sig Q / 2 AEP so this will be becoming 2 Q 2 plates okay so force between plates force between plates okay force between plates so that means field due to the first this is your exact formula okay so so this is force by one okay so these are important and now the very very very very easiest and commonest topic is combination of capacitors okay so the combination ofac will be will be constant Q will be constant Q will be constant okay parall C1 C12 Q equivalent will be C1 C2 plus c H C1 C2 + C2 C3 + C1 C3 whole divided by C1 + c23 will be okay so when it is in parall potential will be same will be constant correct V will be constant plus one plus 2 okay and most important tic number okay and now this is the ultimate concept so this is that point that means en so now let's talk about energy LW on charging okay so we know 100% eff 100% workus stored work minus enery stored AAC is nothing but CV s it is CV s St C so that means okay okay okay so let's talk about something called polar molecules and everything because listen carefully Q is directly proportional to V we canra okay okay rather we know potential is directly proportional to electric field electric by inserting a dric electric is nothing but a normal slab I'm will be separated by small okayed electric field okay electric external electric total electric field is external electric field minus induced electric field molecu nonpolar molecule okay so polar molecule it will be permanent dipole okay permanent dipole okay will be itself okay will itself okay okay so polar molecule nonpar molecule it is very simple positive and negative charges we will be separating positive and negative charges already we have stud okay so induced electric field will be equal to external electric field divided by K so that mean external electric field will be K * okay will be K times of the inside field okay that is external electric field by k k is nothing but your dialectric constant K is nothing but your dialectric constant Conant so so can be written as that is okay okay will be increasing toal will be external minus IND we will be adding it okay so dialectric are are non-conductive material will be equal capacit so dialectric capacit will be equal to K ofri okay so K times of your normal th can be written as with the dialectric thickness so Epsilon a / D minus t + T by K dialectric constant K is nothing but your dialectric constant okay so now I'm going to give you a very very very very important okay it is a very important one for example Ty ofs so it is no battery okay electrice will be so this is before so that's that's it concepts of electrostatic potential and capacit so it's time for your previous year question okay so just subscri the now let's start because okay molecules are the molecules a d dipole moment only in the presence of electric field due to displacement of charge no acquire a dipole moment only when magnetic field is absent having a permanent electric dipole moment correct having zero dipole moment it will be aligning with the electric field okay so now the next question correct [Music] correctly so the c c c c c² ided 4 into 3 sorry 2 2 into c 3 C / 2 so C [Music] by this is it is shorted equivalent will be 2 into C so it will be 2 into C option G 2 into C into option don't do that okay so now let's go for2 for El okay a par PL capacitor has a un form electric field in the space between the plates okay electri if the distance between the plate iser stored in the capacit energy stored in the capacit energy stored is equal to half CV squ formula is energy per volume energy density so energy density du / DV is equal to half e s into Epsilon Epsilon KN into s okay epon e s into DV so which can be written as = epon e v into L one dimension distance one dimension correct energy stored with respect to electric field area and distance will be equal to option b will be equal to option b okay what people have to do is you people have to start solving okay you people have to start solving okay so most important okay so that's it that's it that's it okay and so show some lot of love and energy okay so comor okay so bye everyone take care this is me sh mom you people know when shy mom is here no you're right yes until then it's me take care everyone have a great day

hi hello W and welcome back to zy Channel with me your shy ma&#39;am you people know when m is here no you&#39;re right yes elatic potential andac don&#39;t waste the time of the S so let&#39;s roll okay potential and capacit unit the long weighted unit okay so according to the new updated syllabus of neat okay so start potential capacit par plate capacitance energy stored dialectric okay so majority of the topics Electric potential first you have to understand right so we are having that internal feeling right you have lot of potential to do it we need to have thatal elri you do some work okay so formula charge into change in potential charge into change in potential okay [Music] KQ / R okay KQ r field and for example right so that means very important important so that means El electrostatic field okay I&#39;m going to give you a v is inversely proportional to r r for so if Q is greater than Z will beting from the different different points okay because different different potentials different different of poal okay because taking a test charge as positive Q okay positive qest charge we people know when charges will be moving from higher potential to the lower potential correct negative if I&#39;m having a negative charge and the negative charge negative charge will be moving from the lower potential to the higher charges higher potential to the lower potential way negative charges lower potential to the higher potential act a very best video for current electricity okay so let&#39;s start what I&#39;m doing is so this is our formula so VP iser than VQ is greater than V different different charge right the positive charge will be moving from this direction in the dire so for example positive charge if I&#39;m taking a negative charge okay for example I&#39;m taking it a negative charge negative if F okay so Q I&#39;m taking a negative charge okay so negative lower potential to the higher potential move V is lesser than VQ is lesser than VP the negative charges will be moving in this direction negative charges will be moving in this direction I&#39;m changing the source as Q is lesser than zero Q lesser than Z Source V is inversely proportional to Bas so IND meaning okay we are going to do it so negative charge negative sour charge okay r r Q taking AI charge I&#39;m taking poal v v is greater than VQ is greater is greater than VQ iser VP and now if I&#39;m placing a positive charge I&#39;m going to place a positive charge positive charge it will be moving from higher poal to lower potential ler so don&#39;t forget don&#39;t forget this formula is very very important okay I&#39;m taking a negative charge okay so negative charge I&#39;m taking a negative negative charge has probability lower potential to the higher potential it will be moving right lower potential to the higher potential so negative charge will be moving along this direction will be moving along this direction okay happening because concept of fields concept of boundaries we will be having a boundary right so in the because okay and most important is your scalar quantity so electrostatic potential scal quantity okay it is not like that done clear Aria yes so this is your major major important concept Okay so elatic poal elatic poal because I already said that means okay so listen work done okay so potential you people have to work it out right okay clear yes so now Q Source charge potential is completely depends on the source charge and the distance between them okay okay so theultimate okay now let us talk about system of potential okay so chares for example q1 Q2 Q3 Q4 Q have q1 with respect to P R2 with respect to P okay distance between Q3 and P three with respect to P four respect to p with respect to Super so V1 + V2 + V3 + v4+ V5 [Music] so everything will be added inside and you will be writing it okay so General approach okay path independent okay path independent starting point to initial starting point to final group of charges this is going to be the formula okay group of okay now potential surface is other important topic in the equ potential surface work done is equal to Q into DV and then potential is nothing but work divid by so for example um listen huh Source charge okay this is our source charge okay source Char is not like that different types of okay will be zero work will be zero poal surface work will be zero because W is equal to Q into potential at the final Point minus potential at the initial Point initial point is equal to final point automa work done will be zero and soal V final potential at the initial point is equal to the potential at the final point because V is equal to k q / r v is inversely proportional to R so conal so potential difference potential way right V VA v v differ it&#39;s very simple note that word okay distance distance these are very very important examples you have to know this is your equip potential surface equip potential surface are very very important lot of questions are asked have asked okay so will be a problem okay so work already work work is nothing but Q into Q into okay and most important thing initial and Fin important CLE now so please please share with them now okay equ so these are the point Elric properties because everything is made of at vector quantity which is charge into 2 a or 2 L or 2 R so in the electrical dipole moment okay so electrical dipole moment unless you should not write AAL 3 by2 2 AAL 3 okay okay so these are important these are important as a vector quantity and work on the systemics work by the system because work by the gas is positive okay most important that is because people know dipole moment will be opposite to that of electric field correct opposite to that of electric field electric field moment okay okay so now let&#39;s start field due to dipole okay field due to dipole we already know it is a very simple thing 180 180 electric field 2 kp/ R potential that is KP / RP RP r shorter short dipole right shorter dipole shorter dipole right shorter di or smaller okay for smaller KP will be zero soti will be [Music] equal okay it won&#39;t be having any potential so so when talking about at any any point0 2p cos th/ r potential at any point will be equal to potential will be equal to KP cos Theta divid r² KP KP cos thet r s okay okay so these are the point and based okay so now the next topic what we are going to discuss is potential energy of dipole toel okay white I can use okay so you can understand potential so whenever we are traveling for example whenever we are traveling and you people know what is potential energy is potential energy we will be having a potential energy for each at each and every point okay each and every okay so we generally we people know this work is equal to change in potential work is equal to change in potential so that is nothing but final potential minus initial potential final potius initial po11 R1 R12 q1 Q2 ided by sorry Q2 Q3 / by R23 plus q1 Q3 / by r13 so potentials are very important bedal okay your people so U is equal to minus P cos Theta U is equal to us p and you people know because unable equum okay 180° positive P which is stable equilibrium this is your stable equilibrium stable equum unstable equum okay and now suppose will be towards the field okay Motion One motion okay formula that is p cross e okay T is nothing but your vector quantity okay so vector quantity dipole into dipole moment into the electric field dipole moment into the electric [Music] field will be Z right so 18 it will be minim stable equum unable okay fet is equal Z andet is equal to Z mean equilibrium mechanical equ go and watch rotational motion okay so system of partic okay okay so okay so it doesn&#39;t mean okay but alignment is important okay now let&#39;s brush up what is a conductor okay and so let us brush up what is a conductor cond okay distribution surface charge distribution volumetric charge distribution right and most so listen steady state sigal Sigma 1 will be equal to Sig 2 into are because stud me okay so this is how you have to study and this type of questions are frequently Asked okay and El so that means electri field correct so sorry okay so toal electric field will be equal to E1 E2 equal to charge inside epon so flux will be equal eectric for electric field for a plane sheet will be equal to Sigma / 2 Epsilon okay and the next important thing is energy stored in a conductor okay energy stored or energy density energy per volume = du / DV V okay that is magnetic field half B okay so now we are going to the capacitor part capacitor electric field inside the plate is equal to Z electric field inside the plate is equal to Z electric field can be as Sig 2ep so P will be equal to electric field ID 2 epon toward the okay electric field is equal to Sigma / 2 epon sorry epon it will be written as epon again it will be getting sigep so that means okay SOA okay link description session uplo okay because right am right so the next topic is capacitance okay capacit okay one L of water okay quantity qal CV qal CTI charge is directly proportional to the potential charge is directly proportional to the potential so potential charge so that means so these are the important points and capacit it will be storing charge Char in the form of electric field okay Char DC Char and because [Music] is nothing but your capacitor positive okay because can store and then itge you will F in love with physics okay definitely you will fill in love with physics okay you will fall okay done so capacitor capacit okay 4 epon into r r radius r that is your radius par PL POS we will be writing that ASI we have to understand something which is very important concept okay so it is very important because in the topic is literally important okay very very important field will be equal to Sig total electric field will be equal to Sigma by 2 epon Sigma by 2 epon that will be 2 Sigma / 2 epon okay will okay sigep okay electric field between the plates SOI important we people know there is a relation between potential and electric field because capacit Cal to V people know Q is directly proportional to V connection potential will be equal to minus of electric field into change in distance will be equal to Sigma / epon into D okay the Sig Q so Q / a okay so this is your potential of capacit Q Q / does not depends on any charge or any potential clear this is the formula and effective overlapping effective Calon a d a effective it is the effective are okay listen okay he okay so sogy c s this is energy Q by V into v² so Vare can C half C into Q ² / c² okay your potential is constant when charge is constant when capacitance is constant and the next important thing energy stored per volume okay energy ener stored volume energy stored okay so now let&#39;s talk about force between parall plates electric field okay so force between plates because positively charged negatively charged force between the plates force of one Sigma ID 2 epon and we know force is equal to e into Q right e sig 2ep Sig Q / 2 AEP so this will be becoming 2 Q 2 plates okay so force between plates force between plates okay force between plates so that means field due to the first this is your exact formula okay so so this is force by one okay so these are important and now the very very very very easiest and commonest topic is combination of capacitors okay so the combination ofac will be will be constant Q will be constant Q will be constant okay parall C1 C12 Q equivalent will be C1 C2 plus c H C1 C2 + C2 C3 + C1 C3 whole divided by C1 + c23 will be okay so when it is in parall potential will be same will be constant correct V will be constant plus one plus 2 okay and most important tic number okay and now this is the ultimate concept so this is that point that means en so now let&#39;s talk about energy LW on charging okay so we know 100% eff 100% workus stored work minus enery stored AAC is nothing but CV s it is CV s St C so that means okay okay okay so let&#39;s talk about something called polar molecules and everything because listen carefully Q is directly proportional to V we canra okay okay rather we know potential is directly proportional to electric field electric by inserting a dric electric is nothing but a normal slab I&#39;m will be separated by small okayed electric field okay electric external electric total electric field is external electric field minus induced electric field molecu nonpolar molecule okay so polar molecule it will be permanent dipole okay permanent dipole okay will be itself okay will itself okay okay so polar molecule nonpar molecule it is very simple positive and negative charges we will be separating positive and negative charges already we have stud okay so induced electric field will be equal to external electric field divided by K so that mean external electric field will be K * okay will be K times of the inside field okay that is external electric field by k k is nothing but your dialectric constant K is nothing but your dialectric constant Conant so so can be written as that is okay okay will be increasing toal will be external minus IND we will be adding it okay so dialectric are are non-conductive material will be equal capacit so dialectric capacit will be equal to K ofri okay so K times of your normal th can be written as with the dialectric thickness so Epsilon a / D minus t + T by K dialectric constant K is nothing but your dialectric constant okay so now I&#39;m going to give you a very very very very important okay it is a very important one for example Ty ofs so it is no battery okay electrice will be so this is before so that&#39;s that&#39;s it concepts of electrostatic potential and capacit so it&#39;s time for your previous year question okay so just subscri the now let&#39;s start because okay molecules are the molecules a d dipole moment only in the presence of electric field due to displacement of charge no acquire a dipole moment only when magnetic field is absent having a permanent electric dipole moment correct having zero dipole moment it will be aligning with the electric field okay so now the next question correct [Music] correctly so the c c c c c² ided 4 into 3 sorry 2 2 into c 3 C / 2 so C [Music] by this is it is shorted equivalent will be 2 into C so it will be 2 into C option G 2 into C into option don&#39;t do that okay so now let&#39;s go for2 for El okay a par PL capacitor has a un form electric field in the space between the plates okay electri if the distance between the plate iser stored in the capacit energy stored in the capacit energy stored is equal to half CV squ formula is energy per volume energy density so energy density du / DV is equal to half e s into Epsilon Epsilon KN into s okay epon e s into DV so which can be written as = epon e v into L one dimension distance one dimension correct energy stored with respect to electric field area and distance will be equal to option b will be equal to option b okay what people have to do is you people have to start solving okay you people have to start solving okay so most important okay so that&#39;s it that&#39;s it that&#39;s it okay and so show some lot of love and energy okay so comor okay so bye everyone take care this is me sh mom you people know when shy mom is here no you&#39;re right yes until then it&#39;s me take care everyone have a great day

Transcript for:Electrostatic Potential and Capacitance

Transcript for:
Electrostatic Potential and Capacitance