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