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Q#1 Transmission and Distribution GATE EE 1998 NAT +2 marks -0 marks

A circuit consisting of a single resistor R and an inductor L in series is driven by a 25V RMS, 50 Hz sinusoidal voltage source. A capacitor is to be placed in parallel with the source to improve the power factor. Given that the average power dissipated in the R is 100W and that the reactive power delivered to the L is 75VAR, what value of C will yield a 0.9 p.f. lagging as seen by the source?

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