A residential four-wire system supplies power at220 V rms to the following single-phase appliances:On the first phase, there are ten 75-W bulbs. On thesecond phase, there is a 750-W vacuum cleaner with apower factor of 0.87. On the third phase, there are ten40-W fluorescent lamps with power factor of 0.64.Finda. The current in the netural wire.b. The real, reactive, and apparent power for eachphase.

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
Chapter2: Fundamentals
Section: Chapter Questions
Problem 2.30MCQ: Under balanced operating conditions, consider the three-phase complex power delivered by the...
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A residential four-wire system supplies power at
220 V rms to the following single-phase appliances:
On the first phase, there are ten 75-W bulbs. On the
second phase, there is a 750-W vacuum cleaner with a
power factor of 0.87. On the third phase, there are ten
40-W fluorescent lamps with power factor of 0.64.
Find
a. The current in the netural wire.
b. The real, reactive, and apparent power for each
phase.

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