What is the RMS value corresponding to a peak of 230 V?

• A. 180 V
• B. 115 V
• C. 230 V
• D. 162.6 V

Answer: (D)

RMS value is the effective voltage that would produce the same heating effect as a DC voltage. For a sinusoidal wave, the RMS value equals the peak value divided by sqrt(2). With a peak of 230 V, the RMS is 230 / sqrt(2) ≈ 230 / 1.414 ≈ 162.6 V. So the RMS value is about 162.6 V. If you need the reverse check, the peak would be 162.6 V × sqrt(2) ≈ 230 V.