The circuit below will be most efficiently analyzed by obtaining the Thevenin equivalent circuit for the circuit to the left of the points (a-b) on the schematic. The capacitor is initially uncharged.

a. Find V_TH and R_TH for the circuit to the left of points (a-b).

b. Write the expressions for V_C(t) and I_C(t), given the Thevenin equivalent circuit.

c. After the switch S1 is thrown into position 1 (pos1), what will be the final voltage across C, the capacitor?

d. How long will it take to get the voltage across the capacitor to reach 2 Volts?

e. What is the current I_C when V_C = 2 Volts?

f.  After the capacitor has been fully charged, switch S1 is thrown to position 2 (pos2). How long will it take V_C to reach zero Volts?

g. How long will it take to bring V_C down to 3 Volts?