The highest magnetic fields in the world are generated when large arrays, or "banks," of capacitors are discharged through the copper coils of an electromagnet. At the National High Magnetic Field Laboratory, the total capacitance of the capacitor bank is \(32 \mathrm{mF}\). These capacitors can be charged to \(16 \mathrm{kV}\).

a. What is the energy stored in the capacitor bank when it is fully charged?

b. When discharged, the entire energy from this bank flows through the magnet coil in \(10 \mathrm{~ms}\). What is the average power delivered to the coils during this time?