GATE EE 2025 Set 1 — Question 48
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Power Electronics → AC-DC Converters → Controlled Rectifiers (3φ)
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Question
In the following circuit, the average voltagewhere is the firing angle. If the power dissipated in the resistor is 64 W, then the closest value of in degrees is

Correct answer
(A) 35.9
Solution
Given:
Power dissipated in the resistor,
Resistance,
Back EMF,
Inductance, Assuming the load current is constant (ripple-free) due to the large inductance, the RMS current is equal to the average current .The average output voltage of the converter is given by:Using the provided formula for the average voltage:Therefore, the closest value of is .
Power dissipated in the resistor,
Resistance,
Back EMF,
Inductance, Assuming the load current is constant (ripple-free) due to the large inductance, the RMS current is equal to the average current .The average output voltage of the converter is given by:Using the provided formula for the average voltage:Therefore, the closest value of is .
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