Would there be some function that gives the charge in the inductor and capacitor as a function of omega or time, then we evaluate that function at t=0 and t = 1 period, and take it so that the charge on the capacitor at 0 minus the charge on both the inductor and capacitor at 1 period would...
At t=0, the capacitor holds all charge, 8e-4 C. I take it that since A_1 = 0, we just evaluate for A_2? Or use phase shifts for a new identity? I also immediately recognized that for (c), the answer is the same at 8e-4 C, but only because I know that all charge can only leave through the...
I tried to start by assuming that we need to integrate something over 1 period (2pi). Therefore, we need i(t)^2 R integrated over something. From there, I recognized that this is an underdamped model since R/2L < 1/sqrt(LC). I believe that i(t) can be represented by i(t) = e^(-at)[A_1 cos(w_d t)...