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AC RMS / Peak Converter

Convert between amplitude measures of common waveforms, add a DC offset, or calculate RMS directly from samples. For a sine wave, Vrms = Vpk/√2, Vpp = 2Vpk, and the rectified average is 2Vpk/π. Different waveforms have different RMS, crest, and form factors. Everything runs locally in your browser.

Waveform amplitude conversion

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RMS from samples (general definition)

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Waveform reference

Waveform conversion factors

The math. RMS is the equivalent DC value that delivers the same average power to a resistor: Vrms = √((1/T)·∫₀ᵀv(t)²dt). Square the signal, average it over a cycle, then take the square root. Crest factor is peak divided by RMS; form factor is RMS divided by rectified average. A DC offset is added to every instantaneous waveform value before total RMS is calculated. This matters for half-wave rectified sine waves, whose original mean is already nonzero. The samples tool applies the general definition directly.