Question

The average value of alternating current over a full cycle is always ______.

• A. zero
• B. \( I_0/2 \)
• C. \( I_0/\sqrt{2} \)
• D. \( 2I_0 \)

Hint:

For AC, the average value over a full cycle is zero due to symmetry; use RMS for effective value.

Answer 1

The Correct Option is A

Alternating current (AC) is sinusoidal, typically \( I = I_0 \sin(\omega t) \). Over one full cycle, the positive and negative halves cancel out, resulting in an average value of zero.
\[ \text{Average} = \frac{1}{T} \int_0^T I_0 \sin(\omega t) \, dt = 0. \] Answer: zero.