PROBLEM 2
Consider the RC electric circuit in Figure 2, with $V_1 = 4$ V, $V_2 = 12$ V, $R_1 = 2R_2 = 2$ k$\Omega$, $R_3 = 1.8$ k$\Omega$, $R_4 = 2.2$ k$\Omega$,
FIG. 2: Problem 2.
and $C_1 = 800$ nF.
1. Evaluate the currents passing through the four resistors and the charge on the capacitor a long time after the switches have been closed.
2. The switches are reopened. Evaluate after how long there is a current through $R_4$ equal to one-third of that immediately after the switches are opened.