?The switch in Fig. 8.73 is moved from A to B at t = 0 after being at A for a long time

Chapter 8, Problem 39

(choose chapter or problem)

The switch in Fig. 8.73 is moved from A to B at t = 0 after being at A for a long time. This places the two capacitors in series, thus allowing equal and opposite dc voltages to be trapped on the capacitors. (a) Determine \(v_1 (0^-)\), \(v_2 (0^-)\), and \(v_R (0^-)\). (b) Find \(v_1 (0^+)\), \(v_2 (0^+)\), and \(v_R (0^+)\). (c) Determine the time constant of \(v_R (t)\). (d) Find \(v_R (t)\), t > 0. (e) Find i(t). (f) Find \(v_1 (t)\) and \(v_2 (t)\) from i(t) and the initial values. (g) Show that the stored energy at \(t = \infty\) plus the total energy dissipated in the \(20\ k \Omega\) resistor is equal to the energy stored in the capacitors at t = 0.