A 400 V, 50 Hz, 30 hp,three-phase induction motor is drawing

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A 400 V, 50 Hz, 30 hp,three-phase induction motor is drawing 50 A current at 0.8 power factor lagging. The stator and rotor copper losses are 1200 W. The air-gap power of the motor will be

1. 23.06 kW
2. 24.11 kW
3. 25.01 kW
4. 26.21 kW

Correct Option: C

Motor input power in stator = √3 VI cos φ
= √3 400 × 50 × 0.8 = 27.71 kW
∴ Air gap power = Motor input to stator – Stator copper loss – Coreloss
= 27.71 – 1.5 – 1.2 = 25.01 kW