Walker, Halliday & Resnick — Circuits: Problem 32

32 Figure 27-38 displays two circuits with a charged capacitor that is to be discharged through a resistor when a switch is closed. In Fig. 27-38a, \(R_1 = 20.0 \, \Omega\) and \(C_1 = 5.00 \, \mu\text{F}\). In Fig. 27-38b, \(R_2 = 10.0 \, \Omega\) and \(C_2 = 8.00 \, \mu\text{F}\). The ratio of the initial charges on the two capacitors is \(q_{02}/q_{01} = 1.75\). At time \(t = 0\), both switches are closed. At what time \(t\) do the two capacitors have the same charge?