Question

Find the average and effective values of voltage of
sinusoidal waveform shown in figure. The value of
Vm =100V
​

Answer 1

Answer:

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Answer 2

Given:

Vm =100V

​To Find:

1) $V_a_v_g$ =?

​2) $V_R_M_S$ =?

Explanation:

1)

The average voltage of the sinusoidal waveform is given by

$\displaystyle V_a_v_g= \frac{2V_m}{\pi }$

       = $\displaystyle \frac{2\times 100}{3.14}$

$\mathbf{V_a_v}$ =  63.68 V

2)

The effective voltage of the sinusoidal waveform is given by

$\displaystyle V_R_M_S = \frac{\pi \times V_a_v_g }{2\sqrt{2} }$

         = $\displaystyle \frac{3.14 \times 63.69 }{2\sqrt{2} }$

$\mathbf{V_R_M_S}$ = 70.91 V