Energy within an L-C Circuit As a function of time, what is the energy UL(t) stored in the inductor? Express your answer in terms of L and I(t) onstants 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 UL (t) = Submit Previous Answers Request Answer Figure 1 of 1 Incorrect, Try Again; 4 attempts remaining The correct answer does not depend on: C, Q ▼ Part B I(t) As a function of time, what is the energy Uc(t) stored within the capacitor? Express your answer in terms of C and Q(t) Uc(t)

## Answer

Charge on the capacitor as a function of time is Q (t) current through the inductor as a function of time is I (t) Part A Energy stored in the inductor is U_L (t) = 1/2 L (I (t))^2 U_L (t) = L (I (t))^2/2 Part B Energy stored in the capacitor is U_C (t) = (Q (t))^2/2 c