The charge on a parallel plate capacitor varies as $q=q_{0} cos 2\pi vt$. The plates are very large and close together. Neglecting the edge effects, find the displacement current through the capacitor?
The charge on a parallel plate capacitor varies as $q=q_{0} cos 2\pi vt$. The plates are very large and close together. Neglecting the edge effects, find the displacement current through the capacitor?

Displacement current through the capacitor is given as,

$\mathrm{Id}=\mathrm{Ic}=\mathrm{dq} / \mathrm{dt}$

Given, $q=q_{0} \cos 2 \pi v t$

On putting the values, we get

$\mathrm{Id}=\mathrm{Ic}=-2 \pi \mathrm{vq_{0}} \sin 2 \pi \mathrm{vt}$