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Power in an AC Circuit

A circuit ele...

Question

A circuit element shown in the figure as a box is having either a capacitor or an inductor. The power factor of the circuit is $0.8$ , which current lags behind the voltage. The source voltage $V$ ,

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Solution

$V_{R} = I R = 80 V$

$c o s (θ) = 0.8 = \frac{V_{R}}{V}$
Solving, $V = 100 V$

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