1996E2 (modified) Capacitors 1 and 2, of capacitance C1=4μF and C2=12μF, respectively, are connected in a circuit as shown above with a resistor of resistance R=100Ω and two switches. Capacitor 1 is initially charged to a voltage V0=50V and capacitor 2 is initially uncharged. Both of the switches S are then closed at time t=0.
a. What are the final charges on the positive plate of each of the capacitors 1 and 2 after equilibrium has been reached?
b. Determine the difference between the initial and the final stored energy of the system after equilibrium has been reached.