[Solved] how to derive the formula of average DC voltage of half and full wave rectifier? [closed]

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Full wave is double of half wave because both ‘bumps’ are used. That is easy.

Now derive the halfwave:

V(t) = Vpeak*sin(t);

2 PI is a full circle and we only use half of that : 0->PI

Vavg = Vpeak*integral(sin(t),0 -> PI)/2*PI

indefinite integral of sin(x) = -cos(x)

 = Vpeak*(-cos(PI) + cos(0))/2*PI 
 = Vpeak*(-(-1) +  1) / 2*PI
 = Vpeak ( 1 + 1) / 2*PI
 = Vpeak / PI

that’s it.

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solved how to derive the formula of average DC voltage of half and full wave rectifier? [closed]