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A motor has an output of 6 kW, an efficiencyof 75% and a power factor of 0.64 lagging when operated from a 250 V, 60 Hz supply. It is required to raise the power factor to 0.925lagging by connecting a capacitor in parallel with the motor. Determine (a) the current taken by the motor, (b) the supply current after power factor correction, (c) the current taken by the capacitor, (d) the capacitance of the capacitor and (e) the kVAR rating of the capacitor.

A motor has an output of 6 kW, an efficiencyof 75% and a power factor of 0.64 lagging when operated from a 250 V, 60 Hz supply. It is required to raise the power factor to 0.925lagging by connecting a capacitor in parallel with the motor. Determine (a) the current taken by the motor, (b) the supply current after power factor correction, (c) the current taken by the capacitor, (d) the capacitance of the capacitor and (e) the kVAR rating of the capacitor.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Read the following statement and solve the following question.

A motor has an output of 6 kW, an efficiencyof 75% and a power factor of 0.64 lagging when operated from a 250 V, 60 Hz supply. It is required to raise the power factor to 0.925lagging by connecting a capacitor in parallel with the motor.

Determine

(a) the current taken by the motor,

(b) the supply current after power factor correction,

(c) the current taken by the capacitor,

(d) the capacitance of the capacitor and

(e) the kVAR rating of the capacitor.

 

PS: Make it to 4 decimal places

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