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NEET
Exam
NEET
Subject
Physics
Chapter
Capacitance

NEET · Physics · Capacitance

Given below are two statements: one is labelled as Assertion (A)...

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 above statements, choose the most appropriate answer from the options given below:

Options

  1. ABoth Assertion and Reason are true and Reason is the correct explanation of Assertion.
  2. BBoth Assertion and Reason are true but Reason is not the correct explanation of Assertion.
  3. CAssertion is true but Reason is false.
  4. 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 (dVdt=0\dfrac{dV}{dt} = 0). Since displacement current is given by Id=CdVdtI_d = C \dfrac{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 (dVdt\dfrac{dV}{dt}).

Therefore, Assertion is true but Reason is false.

Answer: Assertion is true but Reason is false.
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