An impedance equal to 4.4/60° ohms is connected across a 220volt source. What should be the value of the second impedance in parallel with the first, if the total power delivered to the circuit is to be 16.5KW and the overall power factor is to be unity?

An impedance equal to 4.4/60° ohms is connected across a 220volt source. What should be the value of the second impedance in parallel with the first, if the total power delivered to the circuit is to be 16.5KW and the overall power factor is to be unity?

Electricity for Refrigeration, Heating, and Air Conditioning (MindTap Course List)

10th Edition

ISBN:9781337399128

Author:Russell E. Smith

Publisher:Russell E. Smith

Chapter7: Alternating Current, Power Distribution, And Voltage Systems

Section: Chapter Questions

Problem 22RQ

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Concept explainers

Power Measurement

According to Blondel's theorem, the total power is measured with one less number of wattmeters than the number of wires present in the system. So, a single-phase and two-wire system will require one wattmeter and a single-phase and the three-wire system will require two wattmeters, and a three-phase and the three-wire system will also require two wattmeters and a three-phase and the four-wire system will require three wattmeter devices. The wattmeter is a device that measures power using one voltage and one current input as shown in the above figure. Multiple current or voltage input pair cables are used by many power analyzers and digital storage oscilloscopes (DSOs) for measuring watts, in effect within a single instrument acting as multiple wattmeters. It is possible to measure three-phase and four-wire power with one correctly specified power analyzer.

Question

An impedance equal to 4.4/60° ohms is connected across
a 220volt source. What should be the value of the second
impedance in parallel with the first, if the total power
delivered to the circuit is to be 16.5KW and the overall
power factor is to be unity?

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