Discussion
The rms value of a . c with peak value of 200 V is
Answer: B
The rms value is \(\frac{200}{\sqrt{2}}\) V, about 141 V.
For a sinusoidal alternating voltage, the root mean square value is the peak value divided by \(\sqrt{2}\):
\[ \begin{aligned} V_{\text{rms}} &= \frac{V_{0}}{\sqrt{2}} = \frac{200}{\sqrt{2}} \\ &\approx 141\ \text{V} \end{aligned} \]
100 V simply halves the peak value; it is neither the rms value nor the half-cycle average, \(\frac{2V_{0}}{\pi} \approx 127\) V. \(200\sqrt{2}\) V multiplies instead of dividing, and \(\frac{200}{\sqrt{3}}\) V belongs to a triangular wave, not a sine wave.
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