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a parallel plate capacitor is being charged by battery.Show that the displacement current across an area in the region between the plates and parallel to it is equal to the conduction current in the connecting wires.
Charge on platesIc=dq/dt Displacement current through plates is given byId=ϵo dΦE/dt Using Gaussian theorem,ΦE=q/ϵo Id=ϵo d(q/ϵo)/dtId=dq/dt Therefore,both displacement currentand conduction curent are equal
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