All Problems

Electric Current

Problem 3.205

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

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