Question:

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

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For AC, the average value over a full cycle is zero due to symmetry; use RMS for effective value.
  • zero
  • \( I_0/2 \)
  • \( I_0/\sqrt{2} \)
  • \( 2I_0 \)
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The Correct Option is A

Solution and Explanation

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.
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