In an a.c. circuit, the rms voltage is \( 100\sqrt{2}\,\mathrm{V} \). The peak value of voltage would be:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 200 V
For a sinusoidal voltage the rms value is the peak value divided by \( \sqrt{2} \).
\( \displaystyle V_{\mathrm{rms}} = \frac{V_0}{\sqrt{2}} \Rightarrow V_0 = \sqrt{2}\,V_{\mathrm{rms}} \)
\( V_0 = \sqrt{2}\times100\sqrt{2}\,\mathrm{V} = 200\,\mathrm{V} \)