A residential four-wire system supplies power at 220 V rms to the following single-phase appliances: On the first phase, there are ten 60-W bulbs. On the second phase, there is a 1-kW vacuum cleaner with a power factor of 0.9. On the third phase, there are ten 23-W compact fluorescent lamps with power factor of 0.61. Find a. The current in the neutral wire. b. The real, reactive, and apparent power for each phase.

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 60-W bulbs. On the second phase, there is a 1-kW vacuum cleaner with a power factor of 0.9. On the third phase, there are ten 23-W compact fluorescent lamps with power factor of 0.61.
Find
a. The current in the neutral wire.
b. The real, reactive, and apparent power for each phase.

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