First slide

Alternating Current and voltage

Question

The impedance of a circuit consists of 3 ohm resistance and 4 ohm reactance. The power factor of the circuit is

Moderate

A

0.4
B

0.6
C

0.8
D

1.0

Solution

$Z = \sqrt{R^{2} + X^{2}} = \sqrt{4^{2} + 3^{2}} = 5$
$∴ cosφ = \frac{R}{Z} = \frac{3}{5} = 0 .6$

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