For a signal with 240 V RMS, what is its peak-to-peak voltage?

For a signal with 240 V RMS, what is its peak-to-peak voltage?

• A. 339.36V
• B. 678.72V
• C. 240V
• D. 480V

Answer: (B)

For a sine wave, the RMS value relates to the peak value by Vrms = Vpeak / sqrt(2). So the peak voltage is Vpeak = Vrms * sqrt(2) ≈ 240 * 1.4142 ≈ 339.41 V. The peak-to-peak voltage is twice the peak value, since it spans from +Vpeak to −Vpeak, giving Vpp ≈ 2 * 339.41 ≈ 678.82 V. This matches the option closest to 678.8 V (about 678.72 V when rounded), so the correct choice is the one around 678.7 V. The other numbers correspond to the RMS value itself (240 V), the peak value (≈339 V), or a simple double of the RMS without accounting for the sqrt(2) relationship.

For a sine wave, the RMS value relates to the peak value by Vrms = Vpeak / sqrt(2). So the peak voltage is Vpeak = Vrms * sqrt(2) ≈ 240 * 1.4142 ≈ 339.41 V. The peak-to-peak voltage is twice the peak value, since it spans from +Vpeak to −Vpeak, giving Vpp ≈ 2 * 339.41 ≈ 678.82 V. This matches the option closest to 678.8 V (about 678.72 V when rounded), so the correct choice is the one around 678.7 V. The other numbers correspond to the RMS value itself (240 V), the peak value (≈339 V), or a simple double of the RMS without accounting for the sqrt(2) relationship.