An AC source produces a sinusoidal voltage with peak (maximum) value of 480 V. What is its rms voltage?

easy 1 mark Class 12 · Physics · Alternating Current

Answer

340 V

The correct answer is 340 V — Compute the numerical value: $480/ 2 a pp r o x 339.8,$ , rounded to the nearest integer gives $340,$ V.

Step-by-step solution

Recognise the relation between peak and rms voltage for a sinusoidal waveform: $V_{rms} = \frac{V _{peak}}{2}$ .
Substitute the given value: $V_{rms} = \frac{480}{2},$ .
Compute the numerical value: $480/ 2 a pp r o x 339.8,$ , rounded to the nearest integer gives $340,$ V.

Common mistake: Dividing by 2 instead of

2

Concept tested: AC voltage conversion