(Solved): In the figure, the battery has an emf of \( 12.0 \mathrm{~V} \), the inductance is \( 2.81 \mathrm ...

In the figure, the battery has an emf of \( 12.0 \mathrm{~V} \), the inductance is \( 2.81 \mathrm{mH} \), and the capacitance is \( 9.00 \mathrm{pF} \). The switch has been set to position \( a \) for a long time so that the capacitor is charged. The switch is then thrown to position \( b \), removing the battery from the circuit and connecting the capacitor directly across the inductor. (A) Find the frequency of oscillation of the circuit. (B) What are the maximum values of charge on the capacitor and current in the circuit? (C) What is the charge on the capacitor?