What is the RMS value of a 340 volt peak-to-peak pure sine wave?

To find the RMS (Root Mean Square) value from a peak-to-peak voltage, you must perform two mathematical steps. First, divide the peak-to-peak voltage by 2 to find the peak voltage. For a 340 V peak-to-peak sine wave, the peak voltage is 340 / 2 = 170 volts. Second, multiply the peak voltage by 0.707 (or divide by the square root of 2) to convert it to the RMS value. Taking 170 V multiplied by 0.707 gives approximately 120 volts. This value (120V RMS from 170V peak) is the standard calculation for household mains electricity in North America, making it a very common and practical scenario to understand.