Half Wave Rectifier | Calculate Output Voltage

Vm=Vrms(input)×2cap V sub m equals cap V sub r m s open paren i n p u t close paren end-sub cross the square root of 2 end-root 2. Determine Average (DC) Voltage

Vpeak(out)=Vm−Vdcap V sub p e a k open paren o u t close paren end-sub equals cap V sub m minus cap V sub d The adjusted DC formula becomes: calculate output voltage half wave rectifier

In a half-wave rectifier, the diode only conducts during the positive half-cycle. The average value is the integral of the sine wave over one full period ( ), divided by that period: Vm=Vrms(input)×2cap V sub m equals cap V sub

The RMS value represents the effective heating power of the waveform. Since the negative half-cycle is zero, the integration is: Since the negative half-cycle is zero, the integration

Vrms=12π∫0π(Vmsin(θ))2dθ=Vm2cap V sub r m s end-sub equals the square root of the fraction with numerator 1 and denominator 2 pi end-fraction integral from 0 to pi of open paren cap V sub m sine open paren theta close paren close paren squared space d theta end-root equals the fraction with numerator cap V sub m and denominator 2 end-fraction Final Result