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 V0V_{0} and then at the moment t=0t=0 the switch SwS w was closed. Find the time dependence of the voltages in left and right capacitors.

Reveal Answer
4.99. V=1/2(1±cosωt)V0,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; ω=2/LC\omega=\sqrt{2 / L C}