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Derive an expression for the total flux per pole for a P pole machine. State the assumptions made.

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Final answer:

The total flux per pole for a P pole machine can be calculated using the formula (Pm)(B)(A), where Pm is the number of poles, B is the magnetic field strength, and A is the area of the loop or pole. The assumptions made in this expression are a uniform and constant magnetic field, a simple geometric shape for the loop or pole, and perpendicular magnetic field lines.

Step-by-step explanation:

The total flux per pole for a P pole machine can be derived using the formula:

Flux per pole = (Pm)(B)(A)

where:

  1. Pm is the number of poles (field regions) in the machine
  2. B is the magnetic field strength
  3. A is the area of the loop or pole

The assumptions made in this expression are:

  1. The magnetic field is uniform and constant
  2. The loop or pole is a simple geometric shape
  3. The magnetic field lines are perpendicular to the loop or pole surface
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