50 Hz, 250 V single phase power line has the following loads placed across it in parallel; 4 kW at a pf of 0. 8 lagging; 6 kVA at a pf of 0.6 lagging; 5 kVA which includes 1.2 kVAR leading. Determine the overall pf of the system and the capacitance of the capacitor which, if connected across the mains restore 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 2.48P
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 please solve this question with complete solution : A 50 Hz, 250 V single phase power line has the following loads placed across it in parallel; 4 kW at
a pf of 0. 8 lagging; 6 kVA at a pf of 0.6 lagging; 5 kVA which includes 1.2 kVAR leading. Determine
the overall pf of the system and the capacitance of the capacitor which, if connected across the
mains restore the power factor to unity.

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