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The rotor poles of a 6-pole synchronous generator shift by 20 mechanical degrees from no load to full load. The torque angle between extinction voltage and the terminal voltage ‘E’ at full load is _______ degrees.
  • a)
    59
  • b)
    60
  • c)
    61
  • d)
    62
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The rotor poles of a 6-pole synchronous generator shift by 20 mechani...
Torque angle δ=Pα/2
Given P=6,α=20
δ = 6 x 20/2 = 600
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Most Upvoted Answer
The rotor poles of a 6-pole synchronous generator shift by 20 mechani...
Given data:
- Number of poles (P) = 6
- Rotor pole shift from no load to full load = 20 mechanical degrees

To find:
- Torque angle between extinction voltage and terminal voltage 'E' at full load.

Solution:
1. Calculation of mechanical angle shift per pole:
- Total mechanical angle shift = 20 degrees
- Number of poles (P) = 6
- Mechanical angle shift per pole = Total mechanical angle shift / Number of poles
= 20 degrees / 6
≈ 3.33 degrees per pole

2. Calculation of electrical angle shift per pole:
- Electrical angle shift per pole = Mechanical angle shift per pole * (360 degrees / 360 electrical degrees)
= 3.33 degrees/pole * (360 degrees / 360 electrical degrees)
= 3.33 electrical degrees/pole

3. Calculation of torque angle between extinction voltage and terminal voltage 'E':
- Torque angle = 180 degrees - Electrical angle shift per pole
= 180 degrees - 3.33 degrees/pole
≈ 176.67 degrees

4. Calculation of total torque angle at full load:
- Total torque angle = Torque angle * Number of poles
= 176.67 degrees * 6
≈ 1060 degrees

5. Calculation of torque angle between extinction voltage and terminal voltage 'E' at full load:
- Torque angle at full load = Total torque angle / Number of poles
= 1060 degrees / 6
≈ 176.67 degrees

Therefore, the torque angle between extinction voltage and terminal voltage 'E' at full load is approximately 176.67 degrees, which is closest to option B (60 degrees).
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