The r.m.s. value of potential difference Vshown in the figure is

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

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V_{0}

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

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\frac{V_{0}}{2}

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Solution

The correct option is C $\frac{V_{0}}{\sqrt{2}}$
$V_{r m s} = \sqrt{\frac{\int_{0}^{T} V^{2} d t}{\int_{0}^{T} d t}} = \sqrt{\frac{\int_{0}^{T / 2} V_{0}^{2} d t + \int_{T / 2}^{T} 0 d t}{T}}$

$= \sqrt{\frac{V_{0}^{2} (T / 2)}{T}} = \frac{V_{0}}{\sqrt{2}}$

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