Problem

Two impedances

Z_1

and

Z_2

when connected separately across a

230 \text{ V}

50 \text{ Hz}

supply consume

100 \text{ W}

and

60 \text{ W}

at power factor of

0.5

lagging and

0.6

leading respectively. If these impedances are now connected in series across the same supply, find a. total power absorbed and overall power factor b. the value of reactance to be added in series so as to raise the overall power factor to unity.

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