(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)
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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 %.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2f168b07-da88-4fd5-8726-494a95e83e11%2F172b57b8-60e3-4f35-8ddd-01b75799437c%2F69d8bm_processed.jpeg&w=3840&q=75)
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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