RMS value of a voltage whose peak value is 312 V.

RMS value of a voltage whose peak value is 312 V.

• A. 312
• B. 440
• C. 220.58
• D. 187.1

Answer: (C)

For a sinusoidal voltage, the RMS (root-mean-square) value is the peak value divided by the square root of two. This comes from how the average power of a sine wave relates to its amplitude. With a peak of 312 V, the RMS is 312 divided by √2. Calculating gives 312 / 1.4142 ≈ 220.6 V. So the correct value is about 220.6 V (the choice around 220.58 V is the intended match). Remember, the RMS value is lower than the peak value for a sine wave.

For a sinusoidal voltage, the RMS (root-mean-square) value is the peak value divided by the square root of two. This comes from how the average power of a sine wave relates to its amplitude.

With a peak of 312 V, the RMS is 312 divided by √2. Calculating gives 312 / 1.4142 ≈ 220.6 V. So the correct value is about 220.6 V (the choice around 220.58 V is the intended match). Remember, the RMS value is lower than the peak value for a sine wave.