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

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

Alternating Current

Solution:

$Z=\sqrt{R^{2}+X^{2}}$
$=\sqrt{4^{2}+3^{2}}=5\, \Omega$
$\therefore \cos \phi=\frac{R}{Z}=\frac{3}{5}=0.6$