Two identical parallel-plate capacitors, each with capacitance 10.0 mF, are charged to potential differ- ence 50.0 V and then disconnected from the battery. They are then connected to each other in parallel with plates of like sign connected. Finally, the plate separa- tion in one of the capacitors is doubled. (a) Find the total energy of the system of two capacitors before the plate separation is doubled. (b) Find the potential dif- ference across each capacitor after the plate separation is doubled. (c) Find the total energy of the system after the plate separation is doubled.

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Chapter1: Units, Trigonometry. And Vectors
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Two identical parallel-plate capacitors, each with
capacitance 10.0 mF, are charged to potential differ-
ence 50.0 V and then disconnected from the battery.
They are then connected to each other in parallel with
plates of like sign connected. Finally, the plate separa-
tion in one of the capacitors is doubled. (a) Find the
total energy of the system of two capacitors before the
plate separation is doubled. (b) Find the potential dif-
ference across each capacitor after the plate separation
is doubled. (c) Find the total energy of the system after
the plate separation is doubled. (d) Reconcile the dif-
ference in the answers to parts (a) and (c) with the law
of conservation of energy.

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