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Question

A sinusoidal voltage of peak value 200 volt is connected to a diode and resistor R in the circuit shown so that half wave rectification occurs. If the forward resistance of the diode is negligible compared to R then rms voltage (in volt) across R is approximately -

A
200
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B
100
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C
2002
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D
280
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Solution

The correct option is B 100

Vavg.=π0200sinθdθ2π0dθ
=200[cosθ]π02π
=2002π
Form factor of half wave rectifier =1.57
Form factor =VrmsVavg.=1.57
Vrms=200π×1.57
=2003.14×1.57
=100

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