Question
How does Ampere-Maxwell law explain the flow of current through a capacitor when it is being charged by a battery? Write the expression for the displacement current in terms of the rate of change of electric flux.

Answer

During charging, electric flux between the plates of capacitor keeps on changing; this results in the production of a displacement current between the plates.
$Id=\in_0\frac{d\phi_E}{dt}\big(Id=\in_0A\frac{dE}{dt}\big)$

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