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What is the peak-to-peak voltage of a sine wave that has an RMS voltage of 120 volts?

  1. 84.8 volts

  2. 169.7 volts

  3. 240.0 volts

  4. 339.4 volts

The correct answer is: 339.4 volts

The peak-to-peak voltage of a sine wave is calculated using the relationship between RMS (root mean square) voltage and peak voltage. The RMS voltage is a measure of the effective value of a varying voltage, while the peak voltage is the maximum voltage in the sine wave cycle. For a sine wave, the relationship between the peak voltage (V_peak) and the RMS voltage (V_rms) can be expressed with the formula: V_peak = V_rms × √2. To find the peak voltage when the RMS voltage is 120 volts, you would calculate: V_peak = 120 volts × √2 ≈ 120 volts × 1.414 = 169.7 volts. The peak-to-peak voltage (V_pp) is double the peak voltage, thus: V_pp = 2 × V_peak = 2 × 169.7 volts = 339.4 volts. This calculation shows how the peak-to-peak voltage is derived from the RMS voltage of the sine wave. In this case, the peak-to-peak voltage of a sine wave with an RMS of 120 volts is indeed 339.4 volts, making that the correct choice.