GATE 2015 EE (EE2) – Question 43

Power Electronics · Single and three-phase configuration of uncontrolled rectifiers · 2 marks · Numerical answer

The shown rectifier has T1 firing at 30° after the positive-going source zero crossing. Supply is $V_s=100\sin(100\pi t)$ V. Find steady average voltage across R in volts.

Diagram for GATE 2015 EE (EE2) question 43

Practise this question in The GATE Grind →

Show answer and explanation

Correct answer: 61 to 62

Explanation

The positive half-cycle conducts through T1 only from α=π/6 to π. The opposite half-cycle uses two diodes and conducts for its full π duration.

Thus the average is $(100/(2\pi))[(1+\cos\alpha)+2]$. Substituting α=30° gives $100(3+\cos30^\circ)/(2\pi)$.

This is **61.53 V**, within 61–62 V. The asymmetric one-thyristor bridge does not have the same average formula as a fully controlled bridge.

More Single and three-phase configuration of uncontrolled rectifiers questions

GATE 2026 EE Q34 – Consider the circuit shown. Assume that the diode D is ideal. The supply voltage v…
GATE 2026 EE Q61 – Consider the circuit shown. Assume that the diode (D) is ideal. Given v s=100(250t) V, V…
GATE 2025 EE Q47 – An ideal sinusoidal voltage source v(t)=2302(250t) V feeds an ideal inductor L through an…
GATE 2025 EE Q48 – In the following circuit, the average voltage V o=400(1+3)\ V, where is the firing angle.…
GATE 2024 EE Q28 – A single-phase triac based AC voltage controller feeds a series RL load. The input AC…
GATE 2024 EE Q62 – A single-phase half-controlled bridge converter supplies an inductive load with ripple…

All Single and three-phase configuration of uncontrolled rectifiers questions →