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Multiple Choice

What is RMS voltage?

RMS voltage is the effective value of an AC signal—the amount of DC voltage that would deliver the same heating, or power, in a resistor. It’s the standard way to measure and report AC voltage and current because it reflects how much work the signal can do over time, not just its instantaneous value. It isn’t the peak value, which is merely the maximum instantaneous amplitude and doesn’t tell you about energy transfer. It also isn’t the simple average over a cycle, since for a pure AC waveform like a sine wave the average voltage over a full cycle is zero and thus not useful for power calculations. For a sine wave, the RMS value equals the peak voltage divided by the square root of two (about 0.707 times the peak). This is why RMS is used for specifying voltages and currents—the DC equivalent voltage that would produce the same power in a resistor is represented by the RMS value.

RMS voltage is the effective value of an AC signal—the amount of DC voltage that would deliver the same heating, or power, in a resistor. It’s the standard way to measure and report AC voltage and current because it reflects how much work the signal can do over time, not just its instantaneous value. It isn’t the peak value, which is merely the maximum instantaneous amplitude and doesn’t tell you about energy transfer. It also isn’t the simple average over a cycle, since for a pure AC waveform like a sine wave the average voltage over a full cycle is zero and thus not useful for power calculations. For a sine wave, the RMS value equals the peak voltage divided by the square root of two (about 0.707 times the peak). This is why RMS is used for specifying voltages and currents—the DC equivalent voltage that would produce the same power in a resistor is represented by the RMS value.