Solve the all parts of given problem:
Problem: A 100 pF capacitor and a 400 pF capacitor are each charged to 2kV. They are disconnected from the voltage sources and are connected to each other - positive plate to positive plate and negative to negative.
Part A: What is the equilibrium voltage of each capacitor?
Part B: By how much did the energy of the system change?
Please show all work to determine the equilibrium voltage of each capacitor.