A capacitor with C = 2.30×10^-3 F has an initial charge Q0 = 7.50×10^-3 C. It is in a loop containing a switch and an inductor with L = 5.50×10^-3 H and negligible resistance. At t = 0, the switch is closed.
I. Calculate the energy in the capacitor immediately after the switch is closed (t = 0).
II. Calculate the minimum time it takes for the energy in the capacitor to return to its initial value after the switch is closed.
III. Calculate the magnitude of the current through the inductor at time t = 3.55×10^-3 s.