JEE Main 2022 · 30 Jun · Shift 1, Physics question 57

A series LCR circuit with $R=\dfrac{250}{11}$ $\Omega$ and $X_L=\dfrac{70}{11}$ $\Omega$ is connected across a 220 V, 50 Hz supply. The value of capacitance needed to maximize the average power of the circuit will be ______ $\mu$F. (Take : $\pi=\dfrac{22}7$)