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A parallel plate capacitor without a dielectric inserted is connected to a battery. The energy density is 5 J/m3 initially. While still connected to the battery, the plates are move closer by a factor of 3.6. Then, the wires are removed from the plates and the distance between the plates is increased by factor of 3.0. After this a dielectric with a dielectric constant of 1.6 is inserted between the sheets. What is the energy density in this final configuration in J/m3?

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