Question

Assertion :Displacement current goes through the gap between the plates of a capacitor when the charge of the capacitor does not change. Reason: The displacement current arises in the region which the electric field is constant with time.

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is correct but Reason is incorrect
• D. Both Assertion and Reason are incorrect

Answer 1

The correct option is D Both Assertion and Reason are incorrect

Displacement current inside a capacitor,

$i_d={\in }_0\frac{d{\Phi }_E}{dt}$, where

${\Phi }_E$ 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 electric field increases or decreases inside the capacitor.

If the charge of the capacitor does not change, The electric field between the plates remains constant so, there would be no ant displacement current. Thus both assertion and reason are incorrect.
Hence, the correct option is $\left(D\right)$