3. Figure 3 depicts the circuit with the switch S that can be in 3 positions labeled as 0, 1 and 2. The circuit features resistors (resistance R each), a capacitor (capacitance C) and two identical batteries (emf 8) with negligible internal resistance. Voltmeter V monitores voltage V(t) across the capacitor as a function of time 15. Switch S was in position 0 (open circuit) and capacitor was uncharged until time t = 0, when switch was turned into position 1 (panel (a) of Fig. 3).The switch remained in position 1 until some time t = t1, when voltmeter reading reached V(t1) = 8 / 2. At this time S was switched into position 2 (panel (b) of the gure). The continuing monitoring showed that at some time t = t2, the capacitor again became uncharged, that is, V(t2) = 0. Find times t1 and :2 as functions of given system parameters. 8| H. 1 R( 8 00 Figure 3: Illustration for problem 3