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Q.

The mean and rms value of an alternating voltage for half cycle as shown in figure are respectively :

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a

$V_{0}, V_{0}$

b

$\frac{3 V_{0}}{2}, \frac{V_{0}}{2}$

c

$\frac{V_{0}}{2}, V_{0}$

d

$\frac{V_{0}}{4}, \frac{V_{0}}{2}$

answer is A.

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Detailed Solution

Mean value V_mean = $\frac{\int_{0}^{T / 2} V_{0} dt}{\int_{0}^{T / 2} dt} = V_{0}$ ,

RMS value V_rms = $\sqrt{\frac{\int_{0}^{T} V^{2} dt}{\int_{0}^{T} dt}} = V_{0}$

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