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Question

a parallel plate capacitor with plate area A and separation between the plates d is charged by a current I displacement current through a plane surface of area A/2 parallel to the plates and drawn symmetrically between the plates is?

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Solution

For whole plate Id=εo(dφ/dt) and φ=EA, and A is (pi)R^2, now use Id'=εo(dφ'/dt), now φ'=EA' and A'=(pi)R^2-(pi)(R/2)^2, Now take ratio of Id and Id'

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