All Problems

Electric Current

Problem 3.205

In a circuit shown in Fig. 3.57 the capacitance of each capacitor is equal to CC and the resistance, to RR. One of the capacitors was connected to a voltage V0V_{0} and then at the moment t=0t=0 was shorted by means of the switch SwS w. Find: (a) a current II in the circuit as a function of time tt (b) the amount of generated heat provided a dependence I(t)I(t) is known.

Reveal Answer
(a) I=(V0/R)e2t/RC;I=\left(V_{0} / R\right) \mathbf{e}^{-2 t / R C} ; (b) Q=1/4CV02Q=1 / 4 C V_{0}^{2}