1. A single-phase motor draws a current of 16 A from a 240 V, 60 Hz line. A wattmeter connected into the line gives a reading of 2765 W (active power). (1) Calculate the power factor of the motor and the reactive power it absorbs. (2) If a capacitor having a reactance of 30 2 is connected in parallel with this single-phase motor, calculate (a) The active power reading of the wattmeter, (b)The total reactive power absorbed by the capacitor and motor, (c) The apparent power of the ac line, (d) The line current and (e) The power factor of the motor/capacitor combination. (3) if we place a capacitor of 500 var in parallel with this single-phase motor, calculate (a). The total active power absorbed by the system (b). The apparent power of the system and (c). The power factor of the system.

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1.
A single-phase motor draws a current of 16 A from a 240 V, 60 Hz line. A wattmeter
connected into the line gives a reading of 2765 W (active power).
(1) Calculate the power factor of the motor and the reactive power it absorbs.
(2) If a capacitor having a reactance of 30 2 is connected in parallel with this single-phase motor,
calculate (a) The active power reading of the wattmeter, (b)The total reactive power absorbed by
the capacitor and motor, (c) The apparent power of the ac line, (d) The line current and (e) The
power factor of the motor/capacitor combination.
(3) if we place a capacitor of 500 var in parallel with this single-phase motor, calculate (a). The
total active power absorbed by the system (b). The apparent power of the system and (c). The
power factor of the system.
Transcribed Image Text:1. A single-phase motor draws a current of 16 A from a 240 V, 60 Hz line. A wattmeter connected into the line gives a reading of 2765 W (active power). (1) Calculate the power factor of the motor and the reactive power it absorbs. (2) If a capacitor having a reactance of 30 2 is connected in parallel with this single-phase motor, calculate (a) The active power reading of the wattmeter, (b)The total reactive power absorbed by the capacitor and motor, (c) The apparent power of the ac line, (d) The line current and (e) The power factor of the motor/capacitor combination. (3) if we place a capacitor of 500 var in parallel with this single-phase motor, calculate (a). The total active power absorbed by the system (b). The apparent power of the system and (c). The power factor of the system.
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