1. 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?