Target Exam

CUET

Subject

Physics

Chapter

Alternating Current

Question:

In an AC circuit, if the peak voltage is 20 V, then root mean square (rms) voltage will be

Options:

14.14 V

20 V

28.28 V

0 V

Correct Answer:

14.14 V

Explanation:

The correct answer is Option (1) → 14.14 V

For a sinusoidal AC voltage, the relationship between peak voltage $V_0$ and RMS voltage $V_{\text{rms}}$ is:

$V_{\text{rms}} = \frac{V_0}{\sqrt{2}}$

Given $V_0 = 20 \, \text{V}$,

$V_{\text{rms}} = \frac{20}{\sqrt{2}} \approx 14.14 \, \text{V}$

${V_{\text{rms}} \approx 14.1 \, \text{V}}$