Question

A series LCR circuit is connected to an $AC$ source of $220 V , 50 Hz$ The circuit contains a resistance $R =80 \Omega$, an inductor of inductive reactance $X _{ L }=70 \Omega$, and a capacitor of capacitive reactance $X _{ C }=130 \Omega$ The power factor of circuit is $\frac{x}{10}$ The value of $x$ is :

Answer 1

The correct answer is 8.
cosϕ=ZR​=R2+(XC​−XL​)2​R​
cosϕ=(80)2+(60)2​80​
cosϕ=10080​⇒108​
So, x=8