Question

The average value of a sine wave having
maximum value Im over one cycle is​

Answer 1

The average value of a whole sinusoidal waveform over one complete cycle is zero as the two halves cancel each other out, so the average value is taken over half a cycle. The average value of a sine wave of voltage or current is 0.637 times the peak 

Answer 2

Answer:

The average value of a sine wave having a maximum value $I_{m}$ over one cycle is 0.

Explanation:

Given:

T = 2π

Here,

The time period is denoted by T.

The area enclosed by the sine wave is denoted by A.

The average value is denoted by $I_{avg}$.

now,

By the equation,

$I_{avg}=\frac{A}{T}\\ I_{avg}=\frac{2\int\limits^\pi _0 {I_{m}sinx} \, dx }{2\pi}\\I_{avg}=\frac{0}{2\pi}\\I_{avg}=0$

So, the average value of a sine wave having a maximum value $I_{m}$ over one cycle is 0.