Question

A series LCR circuit consist of $6$ $ohm$ resistance and $8$ $ohm$ reactance. The power factor of the circuit is

Answer 1

$R=6$ $\Omega ,X=8$ $\Omega$

$P.F=\cos \varphi =\frac{R}{Z}$

$Z=\sqrt{R^2+X^2}$

$\Rightarrow Z=10$ $\Omega$

$\cos \varphi =\frac{6}{10}=0.6$