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A three phase four pole induction motor is operating on an input frequency of 75 Hz ...


Induction Motor Torque

Given

  • Frequency, f = 75 Hz
  • Slip, s = 0.04
  • Rotor resistance, R2 = 1 Ω
  • Line voltage, VL = 415 V

Phase Voltage

Vph = 415 / √3 V

Since stator voltage drop and rotor reactance are neglected:

I2 = Vph / (R2 / s)

Torque in Synchronous Watts

PT = 3Vph2 / (R2 / s)
PT = 3(415/√3)2 × 1/0.04
PT = 4152 / 0.04 ≈ 6889 W

Thus,

T = 6889 synchronous watts

Answer: A (6889 synchronous watts)

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