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.
Solution
The charge on the plates is because of the conduction current flowing in the wires.
According to Maxwell’s equation, displacement current between the plated is given by,
where, 
is the lectric flux.
Now, using Gauss theorem, 
So, 
Therefore, both the displacement current and conduction currents are equal.
