Question

A capacitor, made of two parallel plates each of plate area 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. (2)

Answer 1

Let the alternating emf charging the plates of capacitor be E = Eo sin ωt 
Charge on the capacitor, q = EC = CEo sin ωt
Instantaneous Current is I.Thus, the displacement current inside the capacitor is the same as the current charging the capacitor.