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\begin{figure}\centerline{ \psfig{file=problems/prob_10_4.eps,height=2.5in} }\end{figure}

At time $t = 0$ the capacitor in the $LRC$ circuit above has a charge $Q_0$ and the current in the wire is $I_0 = 0$ (there is no current in the wire). Find $Q(t)$, and draw a qualitatively correct picture of $Q(t)$ in the case that the oscillation is only weakly damped. Show all your work. Remember that $Q(t)$ is real.

Robert G. Brown 2003-02-09