The peak value of a sine wave is equal to 240 vac. whats the average value of the waveform?

a. 114.14v
b. 152.64v
c. 169.68v
d. 120.74v

B. 152.64

Explanation:

The average value of a sinusoidal waveform taken over half cycle is given by

or simplifying it further results in;

We are given

Hence option B is the right answer

Please note:

The average value of a pure sinusoidal wave over a full cycle (0 to 360°) is always zero since the positive and negative half cancel out each other due to being symmetric.

This is why we always take average over half cycle (0 to 180°).

do you have any options?