Crest factor for a pure sine wave (ratio of peak to RMS) is approximately:

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Multiple Choice

Crest factor for a pure sine wave (ratio of peak to RMS) is approximately:

Crest factor is the ratio of a waveform’s peak value to its RMS value. For a pure sine wave, the RMS value is the peak value divided by √2, because the average of sin^2 over a cycle is 1/2. Therefore crest factor = peak / RMS = Vp / (Vp/√2) = √2, which is about 1.414. This is why the correct choice is 1.414. The other numbers correspond to different relationships (for example, 0.707 is the reciprocal of the crest factor, and 1.0 would imply a non-peaky waveform like a DC level, while 2.0 would indicate a different peak-to-RMS relationship).

Crest factor is the ratio of a waveform’s peak value to its RMS value. For a pure sine wave, the RMS value is the peak value divided by √2, because the average of sin^2 over a cycle is 1/2. Therefore crest factor = peak / RMS = Vp / (Vp/√2) = √2, which is about 1.414. This is why the correct choice is 1.414. The other numbers correspond to different relationships (for example, 0.707 is the reciprocal of the crest factor, and 1.0 would imply a non-peaky waveform like a DC level, while 2.0 would indicate a different peak-to-RMS relationship).

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