Question

In an a.c. circuit, the rms voltage is \(100\sqrt{2}\) V. The peak value of voltage would be:

• A. 200 V
• B. 100 V
• C. 141 V
• D. 70.5 V

Hint:

The peak voltage is \(\sqrt{2}\) times the rms voltage in an a.c. circuit.

Answer 1

The Correct Option is A

The relationship between the rms voltage (\(V_{\text{rms}}\)) and the peak voltage (\(V_{\text{peak}}\)) in an a.c. circuit is given by: \[ V_{\text{rms}} = \frac{V_{\text{peak}}}{\sqrt{2}} \] Given: \[ V_{\text{rms}} = 100\sqrt{2} \, \text{V} \] So, \[ V_{\text{peak}} = V_{\text{rms}} \times \sqrt{2} = 100\sqrt{2} \times \sqrt{2} = 200 \, \text{V} \]