question_answer

The power factor of the circuit shown in figure is

A)  0.2                              

B)  0.8                        

C)  0.4                              

D)  0.6

Correct Answer: D

Solution :

Here, \[R = 20 +40 = 60 \Omega \] \[{{X}_{L}}-{{X}_{C}}=100-20=80=Z\] Power factor \[=\frac{R}{\sqrt{{{R}^{2}}+{{Z}^{2}}}}=\frac{60}{\sqrt{{{(60)}^{2}}+{{(80)}^{2}}}}=\frac{60}{100}=0.6\]