A capacitor C1 with a capacitance of 1.7 μF is charged to equilibrium across a potential difference of 160 V. A second capacitor C2 with a capacitance of 3.2 μF is charged to equilibrium across a potential difference of 110 V. The two capacitors are then disconnected from their respective voltage sources and connected to each other such that the negatively charged plate of C1 is connected to the positively charged plate of C2, as shown in the figure below (the other two ends of the capacitors are left open). A third uncharged capacitor C3, with capacitance 2.4 μF, is then dropped in and connected to the open ends of the two capacitors C1 and C2.
a) Find the initial charge on the capacitor C1 prior to its connection to C2.
b) Find the initial charge on the capacitor C2 prior to its connection to C1.
c) Find the final charge on the capacitor C3 after it has been inserted between the open ends of the circuit containing C1 and C2. (Assume that the circuit has reached equilibrium.)