An impedance coil having a resistance of 30 ohms and a 50 cps inductive reactance of 33.3 ohms is connected to a 125 volt, 60 cps source. A series circuit consisting of a 20 ohm resistor and a variable capacitor is then connected in parallel with the coil. 1) For what values of capacitance will the circuit have a unity power? 2) calculate the two values of the line current under this condition. 3) calculate also the real, reactive, and apparent powers under the same condition.

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 2.29P
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An impedance coil having a resistance of 30 ohms and a 50 cps inductive reactance of 33.3
ohms is connected to a 125 volt, 60 cps source. A series circuit consisting of a 20 ohm resistor
and a variable capacitor is then connected in parallel with the coil.

1) For what values of capacitance will the circuit have a unity power?

2) calculate the two values of the line current under this condition.

3) calculate also the real, reactive, and apparent powers under the same condition.

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