12. A single-phase, 120 V, 60 Hz, 1/2 hp, 1740 rpm split-phase fan motor gave the following test results: V I P No load test 120 4 110 Standstill test (main winding) 41 5.8 115 Standstill test (auxiliary winding) 38 7 200 Main winding resistance = 1.85 Q. a) Obtain an equivalent circuit for the motor for running conditions. b) Determine the no-load rotational loss. c) Determine the efficiency at the rated speed.

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12. A single-phase, 120 V, 60 Hz, 1/2 hp, 1740 rpm split-phase fan motor gave the following test
results:
V
I
P
No load test
120
4
110
Standstill test (main winding)
41
5.8 115
Standstill test (auxiliary winding)
38
7
200
Main winding resistance = 1.85 Q.
a) Obtain an equivalent circuit for the motor for running conditions.
b) Determine the no-load rotational loss.
c) Determine the efficiency at the rated speed.
13. For the motor in Problem 12:
a) Determine the standstill impedances of the main and auxiliary windings.
b) An external starting resistance R$ =22 is added in series with the auxiliary windings, and the motor
is connected to a lø, 120 V, 60 Hz supply.
i. Draw a phasor diagram of the currents Im and Ia, and the voltage V, with and without the added
resistance R,.
ii. Compare the starting torques and starting currents with and without the added resistance.
14. Repeat Problem 13 if an external starting capacitor Cs =500 µF is added in series with the auxiliary
winding.
Transcribed Image Text:12. A single-phase, 120 V, 60 Hz, 1/2 hp, 1740 rpm split-phase fan motor gave the following test results: V I P No load test 120 4 110 Standstill test (main winding) 41 5.8 115 Standstill test (auxiliary winding) 38 7 200 Main winding resistance = 1.85 Q. a) Obtain an equivalent circuit for the motor for running conditions. b) Determine the no-load rotational loss. c) Determine the efficiency at the rated speed. 13. For the motor in Problem 12: a) Determine the standstill impedances of the main and auxiliary windings. b) An external starting resistance R$ =22 is added in series with the auxiliary windings, and the motor is connected to a lø, 120 V, 60 Hz supply. i. Draw a phasor diagram of the currents Im and Ia, and the voltage V, with and without the added resistance R,. ii. Compare the starting torques and starting currents with and without the added resistance. 14. Repeat Problem 13 if an external starting capacitor Cs =500 µF is added in series with the auxiliary winding.
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