Chapter 26 Problem 49

Problem

The RC circuit

In this circuit all resistors have the same resistance R. At $t=0$ with the capacitor C uncharged, the switch is closed.

(a) At $t=0$ the three currents can be determined by analyzing a simpler, but equivalent, circuit. Identify this simpler circuit and use it to find the values of $I_{1}$, $I_{2}$ and $I_{3}$ at $t=0$

(b) At the currents can be determined by analyzing a simpler, equivalent circuit. Identify this simpler circuit and implement it in finding the values of $I_{1}$, $I_{2}$ and $I_{3}$ at $t=\infty$

(c) At $t=\infty$ what is the potential difference across the capacitor?