To convert RMS voltage to peak voltage, what factor must be used?

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Multiple Choice

To convert RMS voltage to peak voltage, what factor must be used?

For a sinusoidal voltage, converting RMS to peak uses the factor sqrt(2). The RMS value is the effective DC-equivalent of the peak value, and for a sine wave V_RMS = V_peak / sqrt(2). Rearranging gives V_peak = V_RMS × sqrt(2). Since sqrt(2) is about 1.414, the multiplier is 1.414. The other numbers don’t fit: 0.707 is 1/√2 and is used to go from peak to RMS, not RMS to peak; pi has no role here; 0.9 isn’t the correct multiplier.

For a sinusoidal voltage, converting RMS to peak uses the factor sqrt(2). The RMS value is the effective DC-equivalent of the peak value, and for a sine wave V_RMS = V_peak / sqrt(2). Rearranging gives V_peak = V_RMS × sqrt(2). Since sqrt(2) is about 1.414, the multiplier is 1.414. The other numbers don’t fit: 0.707 is 1/√2 and is used to go from peak to RMS, not RMS to peak; pi has no role here; 0.9 isn’t the correct multiplier.

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