NEETPhysicsCapacitance
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): When a fully charged capacitor is connected to a steady DC battery, the displacement current between its plates is zero. Reason (R): The displacement current between the plates of a capacitor is directly proportional to the steady electric potential difference applied across it. In the light of the
Options
- ABoth Assertion and Reason are true and Reason is the correct explanation of Assertion.
- BBoth Assertion and Reason are true but Reason is not the correct explanation of Assertion.
- CAssertion is true but Reason is false.
- DAssertion is false but Reason is true.
Correct answer
C. Assertion is true but Reason is false.
Step-by-step solution
Assertion (A) is true: When a capacitor is fully charged by a steady DC battery, the potential difference across its plates becomes constant with time ( dV dt = 0 ). Since displacement current is given by I_d = C dV dt , it becomes zero under steady DC conditions. Reason (R) is false: Displacement current is not proportional to the steady electric potential difference itself. Instead, it is directly proportional to the rate of change of electric potential difference with time ( dV dt ). Therefore, Assertion is true