A series LCR circuit is connected to an ac source of 220 V, 50 Hz. The circuit contain a resistance R =100 Ω and an inductor of inductive reactance…

A series LCR circuit is connected to an ac source of $\displaystyle 220 \mathrm{~V}, 50 \mathrm{~Hz}$. The circuit contain a resistance $\displaystyle \mathrm{R}=100 \Omega$ and an inductor of inductive reactance $\displaystyle \mathrm{X}_{\mathrm{L}}=79.6 \Omega$. The capacitance of the capacitor needed to maximize the average rate at which energy is supplied will be $\displaystyle \_\_\_\_$ $\displaystyle \mu \mathrm{F}$.