Solve this:
Q.9.  A Series LCR circuit is made by taking $R=100\Omega , L=\frac{2}{\pi }H, C=\frac{100}{\pi }\mu F$. This series combination is connected across an AC source of 220 V, 50 Hz.
Calculate :
(i) the impedance of the circuit.
(ii) the peak value of the current flowing in the circuit.
(iii) the power factor of this circuit and compare this with the one at its resonant frequency.
[Ans. $100\sqrt{2}\Omega , 2.2A, \frac{1}{\sqrt{2}},\frac{1}{\sqrt{2}}$]