A circuit consists of an ideal inductor of inductance \(L\) and an ideal capacitor of capacitance \(C\) connected in series with a time-varying voltage source that provides an electromotive force \(\mathcal{E}(t) = \mathcal{E}_0 \cos(\omega t)\). The charge on the capacitor oscillates according to \(q(t) = Q_{\text{max}} \cos(\omega t)\), where \(Q_{\text{max}}\)