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What is the RMS voltage of a sine wave with a value of 17 volts peak?

12 volts

To determine the RMS (Root Mean Square) voltage of a sine wave, you can use the formula that relates the peak voltage to the RMS voltage. For a sine wave, the RMS voltage is calculated by taking the peak voltage and dividing it by the square root of 2 (approximately 1.414). In this case, if the peak voltage is 17 volts, the calculation would be: RMS Voltage = Peak Voltage / √2 RMS Voltage = 17 volts / 1.414 RMS Voltage ≈ 12.02 volts When rounded, this value is approximately 12 volts, which corresponds to the choice given. This method of calculating RMS voltage is crucial in AC circuits, as it allows for the assessment of voltage in a way that is directly comparable to DC voltage in terms of delivering power. Thus, 12 volts is the correct representation of the effective value of the sinusoidal voltage in question.

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