Question

Write average value of current over a complete cycle of alternating current.

Answer 1

If we consider sinusoidal current, the positive half cycle will be exactly equal to negative half cycle. Therefore, the average value over a complete cycle will be zero.

Mathematically it can be shown as

$I_{avg}=\frac{{\int }_0^{2\pi /\omega }{I}_{0}sin\left(\omega t\right)dt}{2\pi /\omega }$

$=0$