Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.14MCQ
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Question

A single-phase motor is connected as shown in
Figure to a 50-Hz network. The capacitor value
is chosen to obtain unity power factor. If V = 220 V,
I = 20 A, and I1 = 25 A, find the capacitor value

(I1.
Transcribed Image Text:(I1.
Expert Solution
Step 1

The circuit of the single-phase motor is shown below:

Electrical Engineering homework question answer, step 1, image 1

 The unit power factor means that the phase difference between the voltage and current is zero, i.e. the voltage and the currents are in the same phase.

The current in the different branches is represented in the rectangular and polar form as shown below:

Electrical Engineering homework question answer, step 1, image 2

Solving the above expression to calculate the components of the current in the rectangular form,

Electrical Engineering homework question answer, step 1, image 3

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