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Physics · JEE | Alternating Current

हिन्दी

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): The average power supplied to a pure inductor over one complete cycle is zero. Reason (R): In a purely inductive circuit, the current lags behind the voltage by \( \pi/2 \), making the time average of \( \sin(2\omega t) \) equal to zero. In the light of the above statements, choose the correct answer from the options given below:

  1. A
    Both (A) and (R) are true but (R) is NOT the correct explanation of (A).
  2. B
    Both (A) and (R) are true and (R) is the correct explanation of (A).
  3. C
    (A) is true but (R) is false.
  4. D
    (A) is false but (R) is true.
View Answer & Solution

Correct answer · Option B

Both (A) and (R) are true and (R) is the correct explanation of (A).

Explanation

The average power is proportional to the average of \( \sin(2\omega t) \) over a full cycle which is zero due to the phase lag between voltage and current.
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