Consider an L-C circuit with capacitance C, inductance L, and no voltage source, as shown in the figure (Figure 1). As a function of time, the charge on the capacitor is Q (t) and the current through the inductor is I (t). Assume that the circuit has no resistance and that at one time the capacitor was charged.
Part A
As a function of time, what is the energy U_L (t) stored in the inductor?
Express your answer in terms of L and I (t).
U_L (t) =
Part B
As a function of time, what is the energy U_C (t) stored within the capacitor?
Express your answer in terms of C and Q (t).
U_C (t) =