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# Capacitors C1 and C2 are connected to a resistor of resistance R and an ideal battery that has terminal voltage V0 as shown in the figure below.

Capacitors C1 and C2 are connected to a resistor of resistance R and an ideal battery that has terminal voltage V0 as shown in the figure below. The throw of switch S is initially at contact a and both capacitors are without charge. The throw is then rotated to contact b and left there for a long time. Finally, at time t = 0, the throw is returned to contact a.(a) Quantitatively compare the total energy stored in the two capacitors at t = 0 and a long time later. (Let Ui and Uf denote the total energy at t = 0 and a long time later, respectively. Use the following as necessary: C1, C2, R, and V0.)(b) Find the current through R as a function of t for t > 0. (Use the following as necessary: t, C1, C2, R, and V0.)I(t) = (c) Find the energy delivered to the resistor as a function of t for t > 0. (Use the following as necessary: t, C1, C2, R, and V0.)P(t) = (d) Find the total energy dissipated in the resistor after t = 0 and compare it with the loss of stored energy found in Part (a). (Use the following as necessary: C1, C2, R, and V0.)E =