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