Alternating Current

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