air gap in between the parallel plates, Physics

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How is that circuit wont be broken even there is an air gap in between the parallel plates?

Ans) In AC circuit capacitor offers resistance to current as aresistor would do in DC. But for DC there exists a current in between the plates called displacement current (it exists everywhere in fact)

Id = ε0x dΦe/dt

Modified amperes law = integral of B.dl = mu0 ( I + Id)

there exists a magnetic field between the plates responsible for transfer of charges from one plate to another and hence I= 0

but Id is not 0. At every Id = I


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