1. Consider the circuit shown below which shows a battery connected to some resistors and capacitors along with some switches which will be toggled opened or closed at different times. The battery is a 15V battery. Resistor R1 is 10052, R2 is 20052, and C1 is 110 F, C2 is 80 F, and C3 is 70 F. A stopwatch is started at time t1-0 ms. At that time, switch S1 is closed and all other switches are open and the capacitor is allowed to charge up. (a). What is the charge (in C) on C1 at the time the stopwatch reads 12-16.5 ms? (b). What is the current (in mA) through R1 at 12? (c). What is the voltage (in V) across R1 at 12? (d). What is the voltage (in V) across C1 at t2? (e). What is the energy (in mJ) in C1 at 12? Then, immediately at time 12 on the stopwatch, switch S1 is thrown open and switches S2 and 83 are closed (S4 remains open). (f). What is the charge (in C) on C1 when the stop watch reads t3=22ms? (g). What is the current (in mA) through R2 at time 13? (h). What is the voltage (in V) across R2 at 13? (i) What is the voltage (in V) across C1 at 13? (i) What is the energy (in mJ) on C1 at 13? Then, immediately at time t3 on the stopwatch, switch S3 is thrown open and switch s4 is closed (switch S2 remains closed and Sl remains open). The system is then allowed to reach the steady state. At this steady state, find... (k). The charge (in C) on CI (1). The charge (in C) on C2 (m). The charge (in C) on C3 (n). The voltage (in V) across C1 (o). The voltage (in V) across C2 (p). The voltage (in V) across C3 (q). The energy (in mJ) in C1 (r). The energy (in mJ) in C2 (s). The energy (in mJ) in C3 (t). The total energy (in mJ) on all three caps Compare this answer to that for question (j). Does this surprise you? It should. This is a relay famous "paradox" that physics journal submissions and Masters theses have been written try and explain... mostly unsatisfactorily).