Two impedances and

PHYSICS · Multi-part · CBSE · Physics · Alternating Current · Alternating Current

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 factors of

0.5

lagging and

0.6

leading, respectively. If these impedances are now connected in series across the same supply, find: (1) Total power absorbed and overall power factor. (2) The value of reactance to be added in series so as to raise the overall power factor to unity.

Related theory

Power in AC Circuits
AC Circuit Analysis
Alternating current
Series LCR circuit
AC applied to a series LCR circuit

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