All Problems Electric Oscillations
Problem 4.99
An electric circuit shown in Fig. 4.28 has a negligibly small active resistance. The left-hand capacitor was charged to a voltage \(V_{0}\) and then at the moment \(t=0\) the switch \(S w\) was closed. Find the time dependence of the voltages in left and right capacitors.
4.99. \(V=1 /_{2}(1 \pm \cos \omega t) V_{0},\) where the plus sign refers to the left-hand capacitor, and the minus sign to the right-hand one; \(\omega=\sqrt{2 / L C}\)