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Determine the flux per pole for 6 pole dc machine having 240 wave connected conductors, which generates an open circuit voltage of 500 volt.Which is running at 1000 rpm
  • a)
    0.129 Wb
  • b)
    0.021 Wb
  • c)
    0.042 Wb
  • d)
    7 mWb
Correct answer is option 'C'. Can you explain this answer?
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Calculation of Flux per Pole

Given data:
Number of poles (P) = 6
Number of conductors (N) = 240
Generated open circuit voltage (E) = 500 V
Speed (N) = 1000 rpm

We can use the following formula to calculate the flux per pole:

Flux per pole (Φ) = (E*N)/(4.44*P*N)

Substituting the given values, we get:

Φ = (500*240)/(4.44*6*240)
Φ = 0.042 Wb

Therefore, the flux per pole for the given DC machine is 0.042 Wb.

Explanation

Flux per pole is an important parameter of a DC machine, which represents the amount of magnetic flux passing through each pole of the machine. It is usually measured in Weber (Wb) or Tesla-meter-squared (Tm²). The flux per pole is directly proportional to the generated voltage of the machine and inversely proportional to the number of poles and conductors.

In the given problem, we have been given the number of poles, conductors, generated voltage, and speed of the DC machine. We can use the above formula to calculate the flux per pole.

The formula is derived from Faraday's law of electromagnetic induction, which states that the voltage generated in a conductor is proportional to the rate of change of magnetic flux passing through it. The factor 4.44 in the formula is a constant that represents the conversion factor between the units of voltage (V) and magnetic flux (Wb).

Therefore, by substituting the given values in the formula, we can easily calculate the flux per pole of the DC machine. The correct answer is option 'C', which represents the calculated value of 0.042 Wb.
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