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27 Nov 2019

An air-filled parallel-plate capacitor has plate area and plateseparation . The capacitor is connected to a battery that creates aconstant voltage .

Find the energy stored in the capacitor.
Express your answer in terms of , , , and . Remember to enter asepsilon_0.

The capacitor is now disconnected from the battery, and the platesof the capacitor are then slowly pulled apart until the separationreaches . Find the new energy of the capacitor after thisprocess.
Express your answer in terms of , , , and .

The capacitor is now reconnected to the battery, and the plateseparation is restored to . A dielectric plate is slowly moved intothe capacitor until the entire space between the plates is filled.Find the energy of the dielectric-filled capacitor. The capacitorremains connected to the battery. The dielectric constant is.
Express your answer in terms of , , , , and .

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