Question

The peak to peak value of a sine wave is 300 V. Its rms value is _____
1. 70.72 V
2. 141.4 V
3. 14.14 V
4. 106.08 V

Answer 1

Correct Answer - Option 4 : 106.08 V

Concept:

For a sinusoidal alternating waveform

• Peak to peak value of voltage (Vp-p) = 2 (Peak value)
• The peak value of voltage (Vp) = √2 Vrms
• RMS value of voltage \(\left( {{V_{rms}}} \right) = \frac{{{V_p}}}{{\surd 2}}\)
• The average value of voltage \(\left( {{V_{avg}}} \right) = \frac{{2{V_p}}}{\pi }\)

 

Calculation:

Vp-p = 300 V

V_P = 150 V

\(V_{rms} = \frac{150}{\sqrt2}\)

V_rms = 106.08 V