In an AC circuit :

A The average value of current in one cycle is zero
B The average value of the square of current is zero
C The average power is zero
D The phase difference between voltage and current at resonance is \( \pi \)

Verified Solution

Answer & Solution

Correct Answer

(A) The average value of current in one cycle is zero

Step-by-step Solution

Detailed explanation

In a sinusoidal AC circuit, the current flows in one direction during the first half-cycle and in the opposite direction during the second. Because these two halves are identical but have opposite signs, their sum over one full period is exactly zero. A) The average value of…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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