Question

Displacement current goes through the gap between the plates of a capaitor when the charge of the capacitor:
(i) does not change
(ii) change with time
(iii) increases
(iv) decreases

• A. ( i ), ( iii ) and ( iv )
• B. ( i ), and ( ii ) and ( iv )
• C. ( ii ), ( iii ) and ( iv )
• D. ( i ), ( ii ) and ( iii )

Answer 1

The correct option is C ( ii ), ( iii ) and ( iv )

Displacement current inside a capacitor

$I_D={ϵ}_0\frac{d{\varphi }_E}{dt}$

where ${\varphi }_E$ is the electric flux inside the capacitor

Up to the time the electric flux changes, there will be a displacement current. This is possible when the charge on a capacitor changes. Therefore, the displacement current goes through the gap between the plates of a capacitor when the charge of the capacitor or the electric field increases or decreases inside the capacitor.