IDEAL UNFILTERED MODEL

Full-wave rectifier calculator

Calculate the average of an ideal unfiltered full-wave rectified sine wave.

THE CALCULATOR Runs locally

IDEAL WAVEFORM AVERAGE

10.803796 V DC

12 V RMS → 10.803796 V average

Peak 16.970563 VValley 0 VRipple p-p 16.970563 VRipple frequency 100 Hz

Model-specific resultsExplicit assumptionsNo data sent

The calculation

Vdc = 2√2 × Vrms ÷ π

Both half-cycles contribute positive output. The output returns to zero twice per AC cycle and remains pulsating. Its average is not its RMS value.

Worked example

12 V RMS gives approximately 10.8038 V average and 16.9706 V peak. At 50 Hz AC, ripple frequency is 100 Hz.

Scope

Assumes sinusoidal single-phase AC, a resistive load, and ideal zero-loss diodes. No capacitor, transformer regulation, diode drop, or regulator is modeled. Inputs: 0–1,000 V RMS and 1–1,000 Hz.

The average comes from integrating the rectified sine over a full cycle. Compare rounded factors in Hammond's rectifier guide.

Try the filtered bridge estimate and read all assumptions →