Your electronics company has several identical capacitors with capacitance and several others with capacitance $.$ You must determine the values of and but don$$t have access to and individually. Instead, you have a network with and connected in series and a network with and connected in parallel. You have a $200\mathrm{.}0$ V battery and instrumentation that measures the total energy supplied by the battery when it is connected to the network. When the parallel combination is connected to the battery, $0\mathrm{.}180$ J of energy is stored in the network. When the series combination is connected, $0\mathrm{.}0400$ J of energy is stored. You are told that is greater than $.($a$)$ Calculate and $.($b$)$ For the series combination, does or store more charge, or are the values equal? Does or store more energy, or are the values equal? $($c$)$ Repeat part $($b$)$ for the parallel combination.