An inductor of 10 mH, capacitor of 0.1 μ F and a resistor of 100 Ω are connected in series across an a.c power supply 220 V, 70 Hz. The power factor…

An inductor of $\displaystyle 10$ mH , capacitor of $\displaystyle 0.1 \mu \mathrm{~F}$ and a resistor of $\displaystyle 100 \Omega$ are connected in series across an a.c power supply $\displaystyle 220$ V, $\displaystyle 70$ Hz. The power factor of the given circuit is $\displaystyle 0.5$ . The difference in the inductive reactance and capacitance reactance is $\displaystyle \sqrt{3} \alpha \Omega$. The value of $\displaystyle \alpha$ is $\displaystyle \_\_\_\_$.