Setup: Two capacitors(C1 and C2) and an inductor are in series (closed circuit).
What is Q1(t1), the charge on the capacitor C1 at time t = t1 = 32.4 ms? The sign of Q1 is defined to be the same as the sign of the potential difference Vab = Va - Vb at time t = t1.

Given: C1, C2, L, I_max

What I've done: Calculated the total energy of the system. Found the max charge on the capacitor. Now I'm stuck on how to solve for the charge at a given time. Q(t) = Q_max cos (wt - phi) OR Q(t) = Q_0 (1 - e ^ -t/RC) where R = wL

Question

Setup: Two capacitors(C1 and C2) and an inductor are in series (closed circuit). 
What is Q1(t1), the charge on the capacitor C1 at time t = t1 = 32.4 ms? The sign of Q1 is defined to be the same as the sign of the potential difference Vab = Va - Vb at time t = t1.

Given: C1, C2, L, I_max

What I've done: Calculated the total energy of the system. Found the max charge on the capacitor. Now I'm stuck on how to solve for the charge at a given time. Q(t) = Q_max cos (wt - phi)    OR      Q(t) = Q_0 (1 - e ^ -t/RC)     where R = wL