A capacitor made of two parallel plates each of the plate A and separation d

A capacitor made of two parallel plates each of the plate A and separation d, is being charged by an external AC source. Show that the displacement current inside the capacitor is the same as the current charging the capacitor.

Let the alternating emf charging the plates of capacitor.
Charge on the capacitor,

Thus, the displacement current inside the capacitor is the same as the current charging the capacitor.