Daycounter,
Inc. Engineering Services 


RMS
and Average Calculator

Waveform Type  Formula for RMS  Formula for Avg 
Sine wave  Vrms= Vpk/sqrt(2)  Vavg= 0 
Full rectified wave  Vrms= Vpk/sqrt(2)  Vavg= 0.637Vpk 
Half rectified wave  Vrms= Vpk/2  Vavg= 0.318Vpk 
Sine wave with DC offset  Vrms= *sqrt(Vdc^{2}+Vpk^{2}/2)  Vavg= Vdc 
Half sine with duration T and frequency f  Vrms= Vpk*sqrt(f*T/2)  Vavg= 2f*T*Vpk/PI 
Positive square wave with duration T and frequency f  Vrms= Vpk*sqrt(f*T)  Vavg= f*T*Vpk 
Saw tooth wave with duration T and frequency f  Vrms= Vpk*sqrt(f*T/3)  Vavg= f*T*Vpk/2 
Trapezoidal wave with frequency f, top segment T, and base segment B.  Vrms= Vpk*sqrt(f*((BT)+3*T)/3)  Vavg= f*Vpk*((T+B)/2) 
This calculator will compute the RMS and average for some of the most common periodic waveforms.
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