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

Respuesta :

Answer:

B. 152.64

Explanation:

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

[tex]V_{avg}=\frac{2}{\pi } V_{peak}[/tex]

or simplifying it further results in;

[tex]V_{avg}=0.637 V_{peak}[/tex]

We are given [tex]V_{peak}=240[/tex]

[tex]V_{avg}=\frac{2}{\pi }(240)[/tex]

[tex]V_{avg}=152.7V[/tex]

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°).