A capacitor of capacitance \(C\) has an initial charge \(Q_0\) on its top plate and \(-Q_0\) on its bottom plate. It is connected in a circuit with an open switch \(S\) and an ideal inductor of inductance \(L\), as shown in Figure 1. The resistance of the wires is negligible. At time \(t = 0\), switch \(S\) is closed. Let the clockwise direction be the positive direction for current \(I\), such that the current is related to the charge \(q\) on the top plate by \(I = -\dfrac{dq}{dt}\).