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Electricity
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Well i better give one formula else one might be confused.
close integral { Econs. dl } =0..............Kirchoff's law
close integral { Enon-cons . dl } = -d(Flux)/dt ............Maxwell's law
adding them we get
close integral { (Econs + Enon-cons).dl }= -d(Flux)/dt
close integral {E.dl}=-d(Flux)/dt..............final eqn
Note : as D Griffith say : in general Enon-cons should be called as G field but as calling Econs + Enon-cons as E field simplifies matter so
E = Econs + Enon-cons
Hence the last eqn is more imp. as that is sometimes what you apply directly over a loop so that is not 0 but as i call integral Econs =0 as KVL so it remains true everywhere












See Kirrchoff's law is valid everywhere ...............contour integral of Econs is 0 everywhere .......on earth as well as in heaven.
YEs the thing is that most people don't know what exactly is the way kirchoff's law applied. Many think that go around the loop and wherever see resistor substract ir and so on. No...........thing is substract or add the cons. electric field.
About your second qs yes in inductor a marvellous thing occurs which i am sorry i cannot explain as that will need nearly 1-2 article. In short when an inductor is charged then changing magnetic field creates a G field or non-cons. electric field.
This prrevent electron from entering the inductor leading to development of charge on the edges of the inductor leading to cons. electric field.
So under steady state force of cons. balances that of non cons. resulting in the eqn that V = -Ldi/dt.
Well hope you must have understood. And really this subject is very interesting if you actually physically feel what is going around else EB will become hell both during JEE as well as in IIT.