Chapter 24, Problem 24.69P

DATA Your electronics company has several identical capacitors with capacitance C₁ and several others with capacitance C₂. You must determine the values of C₁ and C₂ but don t have access to C₁ and C₂ individually. Instead, you have a network with C1 and C₂ connected in series and a network with C₁ and C₂ connected in parallel. You have a 200.0-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, 0.180 J of energy is stored in the network. When the series combination is connected, 0.0400 J of energy is stored. You are told that C₁ is greater than C₂. (a) Calculate C₁ and C₂. (b) For the series combination, does C₁ or C₂ store more charge, or are the values equal? Does C₁ or C₂ store more energy, or are the values equal? (c) Repeat part (b) for the parallel combination.