Problem 1: Look at the (ideal, R = 0) LC circuit we discussed in Lec ture on 202204-07. Make time-aligned plots of the charge Q(t), current I (t), energy in the capacitor U0 2 (1/2) Q2 /C, energy in the inductor UL = (1/2) LP, and total energy Uc + UL as a function of time over two periods. Be sure to label very clearly the minimum and maximum values of all ve curves (these will be expressions involving Q0, L, C), and be sure to label all the time locations of any zerocrossings. Bonus part (not for credit): What will happen to your plots if there is a tiny bit of resistance R added to the circuit