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  4. The power factor of R-L circuit is (1/√3). If the inductive reactance is 2Ω. The value of resistance is

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Q. The power factor of R-L circuit is $\frac{1}{\sqrt{3}}$. If the inductive reactance is $2\Omega$. The value of resistance is

KCETKCET 2020Electromagnetic Induction

Solution:

$\cos \phi=\frac{1}{\sqrt{3}}, \tan \phi=\frac{\sqrt{2}}{1} \tan \phi$
$=\frac{X_{L}}{R} \sqrt{2}=\frac{2}{R}$
$ \Rightarrow R=\sqrt{2} \Omega$