A series LCR circuit driven by 300 V at a frequency of 50 Hz contains a resistance R =3 k Ω, an inductor of inductive reactance X_L =250 π Ω and an…

A series LCR circuit driven by $\displaystyle 300$ V at a frequency of $\displaystyle 50$ Hz contains a resistance $\displaystyle \mathrm{R}=3 \mathrm{k} \Omega$, an inductor of inductive reactance $\displaystyle \mathrm{X}_{\mathrm{L}}=250 \pi \Omega$ and an unknown capacitor. The value of capacitance to maximize the average power should be : (take $\displaystyle \pi^2=10$ )