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Q.

The rms value of potential difference V shown in the figure is

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a

V₀

b

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

c

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

d

$\frac{V_{0}}{\sqrt{3}}$

answer is B.

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Detailed Solution

$V_{rms} = \sqrt{\frac{\int_{0}^{T / 2} V_{0}^{2} dt + \int_{0}^{T / 2} 0 dt}{T}}$
$= \sqrt{\frac{V_{0}^{2} \times T / 2}{T}}$
$V_{r m s} = \frac{V_{0}}{\sqrt{2}}$

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The rms value of potential difference V shown in the figure is