A voltage source 200 sin314t is applied to a thyristor-controlled halfwave rectifier with a resistive load of 50Ω. If the firing angle is 30° with respect to supply voltage waveform, the average power in the load is

A voltage source 200 sin314t is applied to a thyristor-controlled halfwave rectifier with a resistive load of 50Ω. If the firing angle is 30° with respect to supply voltage waveform, the average power in the load is

Right Answer is:

70.6 watts

SOLUTION

The Average Power in Half wave rectifier in Resistive load is given as

Pavg = V2m(1 + cosα)2 ⁄4π2R

Where

Vm =supply voltage Voltage

α = Firing angle

R = Resistance

Given 

V = 200sin314t = Vmsinωt

Vm = 200 V

α = 30°

R = 50 Ω

Pavg = 2002 (1 + cos30)2 /4 × 3.142 × 50

Pavg = 70.57 Watt

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