First slide

AC Circuits

Question

The coefficient of induction of a choke coil is 0.1 H and resistance is $12 Ω$ . If it is connected to an alternating current source of frequency 60 Hz, then power factor will be

Moderate

A

0.32
B

0.30
C

0.28
D

0.24

Solution

$cosφ = \frac{R}{Z} = \frac{R}{\sqrt{R^{2} + ω^{2} L^{2}}} = \frac{12}{\sqrt{{(12)}^{2} + 4 \times π^{2} \times {(60)}^{2} \times {(0 .1)}^{2}}}$
$\Rightarrow cosφ = 0 .30$

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