A series LCR circuit is connected to an AC source of 220 V, 50 Hz. The circuit contains a resistance R =80 Ω, an inductor of inductive reactance X_L…

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