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(a) A4 pole, 380 V, 50 Hz, three-phase induction motor delivers an output power of 15 kW when the motor induces a rotor e.m.f. at a frequency of 3 Hz. The total stator copper loss and core loss is 600 W. If the rotational losses absorb a torque of 15 Nm, evaluate (i) the slip, (ii) the motor speced in rev/min, and (iii) the motor input power. (b) A shunt D.C. motor is connected to a 200 V D.C. supply, and the motor draws an armature current of 15 A at 200 rev/min. If the armature resistance is 0.5 2, evaluate (i) the back e.m.f. induced on armature, (ii) the mechanical power developed by the motor, and (iii) the motor speed in rev/min if the torque is reduced by 40 %.

(a) A4 pole, 380 V, 50 Hz, three-phase induction motor delivers an output power of 15 kW when the motor induces a rotor e.m.f. at a frequency of 3 Hz. The total stator copper loss and core loss is 600 W. If the rotational losses absorb a torque of 15 Nm, evaluate (i) the slip, (ii) the motor speced in rev/min, and (iii) the motor input power. (b) A shunt D.C. motor is connected to a 200 V D.C. supply, and the motor draws an armature current of 15 A at 200 rev/min. If the armature resistance is 0.5 2, evaluate (i) the back e.m.f. induced on armature, (ii) the mechanical power developed by the motor, and (iii) the motor speed in rev/min if the torque is reduced by 40 %.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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(a) A4 pole, 380 V, 50 Hz, three-phase induction motor delivers an output power of 15 kW when the motor induces a rotor e.m.f. at a frequency of 3 Hz. The total stator copper loss and core loss is 600 W. If the rotational losses absorb a torque of 15 Nm, evaluate (i) the slip, (ii) the motor speed in rev/min, and (iii) the motor input power. (b) A shunt D.C. motor is connected to a 200 V D.C. supply, and the motor draws an armature current of 15 A at 200 rev/min. If the armature resistance is 0.5 2, evaluate (i) the back e.m.f. induced on armature, (ii) the mechanical power developed by the motor, and (iii) the motor speed in rev/min if the torque is reduced by 40 %.
Transcribed Image Text:(a) A4 pole, 380 V, 50 Hz, three-phase induction motor delivers an output power of 15 kW when the motor induces a rotor e.m.f. at a frequency of 3 Hz. The total stator copper loss and core loss is 600 W. If the rotational losses absorb a torque of 15 Nm, evaluate (i) the slip, (ii) the motor speed in rev/min, and (iii) the motor input power. (b) A shunt D.C. motor is connected to a 200 V D.C. supply, and the motor draws an armature current of 15 A at 200 rev/min. If the armature resistance is 0.5 2, evaluate (i) the back e.m.f. induced on armature, (ii) the mechanical power developed by the motor, and (iii) the motor speed in rev/min if the torque is reduced by 40 %.
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