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A single-phase half-wave controlled converter with resistive load is operated from a 120 V, 50 Hz supply. If the average output voltage is 25% of the maximum possible output voltage, the firing angle of the thyristor would be equal to
  • a)
    30°    
  • b)
    45°
  • c)
    60°    
  • d)
    None of these
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A single-phase half-wave controlled converter with resistive load is o...
The average output voltage is

The maximum output voltage is obtained when α = 0°
∴ 
According to question,

or, 
or, 
or, 
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Most Upvoted Answer
A single-phase half-wave controlled converter with resistive load is o...
Given:
- Single-phase half-wave controlled converter
- Resistive load
- Operated from 120 V, 50 Hz supply
- Average output voltage is 25% of maximum possible output voltage

To find: Firing angle of thyristor

Solution:
Let's assume the maximum possible output voltage is Vm.
The average output voltage for a half-wave converter with resistive load is given by:

Vavg = (Vm/π) * (1 - cosα)

Where α is the firing angle of the thyristor.

Given, Vavg = 0.25 * Vm

Therefore,

0.25 * Vm = (Vm/π) * (1 - cosα)

cosα = 1 - (0.25 * π)

cosα = 0.2146

α = cos^-1(0.2146)

α = 77.5 degrees

Therefore, the firing angle of the thyristor would be approximately 77.5 degrees.
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A single-phase half-wave controlled converter with resistive load is operated from a 120 V, 50 Hz supply. If the average output voltage is 25% of the maximum possible output voltage, the firing angle of the thyristor would be equal toa)30° b)45°c)60° d)None of theseCorrect answer is option 'D'. Can you explain this answer?
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