A group of small appliances on a 60 Hz system requires 20 kva at 0.85 lagging power factor when operated at 120 Vrms. The impedance of the wire supplying the appliances is (0.01 + j0.08) Ω. The voltage at the load end of the wire is 125 Vrms. Determine: a) the power loss in the wire, b) the capacitor in microfarad needed to improve the power factor to unity.

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 2.7P: Let a 100V sinusoidal source be connected to a series combination of a 3 resistor, an 8 inductor,...
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A group of small appliances on a 60 Hz system requires 20 kva at 0.85 lagging power factor when operated at 120 Vrms. The impedance of the wire supplying the appliances is (0.01 + j0.08) Ω. The voltage at the load end of the wire is 125 Vrms. Determine: a) the power loss in the wire, b) the capacitor in microfarad needed to improve the power factor to unity.

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