The charge on a parallel plate capacitor varies as

Question:

The charge on a parallel plate capacitor varies as q = q0 cos 2πvt. The plates are very large and close together. Neglecting the edge effects, find the displacement current through the capacitor?

Solution:

The displacement current through the capacitor is Id = Ic = dq/dt

Given, q = q0 cos 2πvt

Substituting the values, we get

Id = Ic = -2πvq0 sin 2π vt

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