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A 400-V, 1000-A, lap wound dc machine has 10 poles, 860 armature conductors. The number of conductors in the pole face to give full compensation if pole face covers 70% of pole span is
  • a)
    3010
  • b)
    4300
  • c)
    2400
  • d)
    2800
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A 400-V, 1000-A, lap wound dc machine has 10 poles, 860 armature condu...
AT/pole for the compensating winding = 0.7*(Z*I/2P)
= 0.7*(860*100/2*10)
= 3010 AT.
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Most Upvoted Answer
A 400-V, 1000-A, lap wound dc machine has 10 poles, 860 armature condu...
To determine the number of conductors in the pole face that will provide full compensation, we need to use the following formula:

Number of conductors in pole face = (Pole span / Pitch factor) - 1

Where:
- Pole span: The angular distance between the center of two adjacent poles.
- Pitch factor: The fraction of the pole pitch covered by the pole face.

Given data:
- Voltage (V) = 400 V
- Current (I) = 1000 A
- Number of poles (P) = 10
- Number of armature conductors (N) = 860

First, we need to calculate the pole pitch (Y):

Pole pitch (Y) = (N / P) = (860 / 10) = 86

Next, we can calculate the pole span (Z):

Pole span (Z) = 360° / P = 360° / 10 = 36°

Now, we can determine the pitch factor (K):

Pitch factor (K) = Pole face coverage / Pole span = 0.7

Substituting the values into the formula:

Number of conductors in pole face = (36° / 0.7) - 1 = 51.43 - 1 = 50.43

Since the number of conductors must be an integer value, we round up to the nearest whole number:

Number of conductors in pole face = 51

Finally, we can calculate the total number of conductors in the pole face:

Total number of conductors in pole face = Number of conductors in pole face * P = 51 * 10 = 510

Therefore, the correct answer is option A) 3010 conductors.
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