Electronics

RMS vs Peak

Peak, peak-to-peak, average, and RMS voltage relationships for common waveforms.

Sine wave

V_peakAmplitude of the waveform
V_pp= 2 · V_peak (peak-to-peak)
V_avg (abs)≈ 0.637 · V_peak
V_RMS= V_peak / √2 ≈ 0.707 · V_peak
Crest factor= V_peak / V_RMS = √2 ≈ 1.414
Form factor= V_RMS / V_avg ≈ 1.11

Common waveforms

WaveformV_RMS / V_peakV_avg / V_peakCrest factor
Sine0.707 (1/√2)0.637 (2/π)1.414
Full-wave rect.0.7070.6371.414
Half-wave rect.0.5000.3182.000
Square1.0001.0001.000
Triangle0.577 (1/√3)0.5001.732
Sawtooth0.5770.5001.732
White noise~3.0–4.0

Mains examples

120 V RMS (US)V_peak ≈ 170 V, V_pp ≈ 340 V
230 V RMS (EU)V_peak ≈ 325 V, V_pp ≈ 650 V
277 V RMS (US industrial)V_peak ≈ 392 V

Notes

  • RMS is the DC-equivalent heating value: an RMS current through a resistor dissipates the same average power as that DC value.
  • Only true-RMS meters report correct RMS on non-sinusoidal signals (PWM, dimmers, switching supplies).
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