Problem 4.98

In an oscillating circuit shown in Fig. 4.27 the coil inductance is equal to $L=2.5 \mathrm{mH}$ and the capacitor have capacitances $C_{1}=$ $=2.0 \mu \mathrm{F}$ and $C_{2}=3.0 \mu \mathrm{F} .$ The capacitors were charged to a voltage $V=180 \mathrm{~V},$ and then the switch $S w$ was closed. Find: (a) the natural oscillation frequency; (b) the peak value of the current flowing through the coil.