Part A Learning Goal: To understand that the charge stored by capacitors represents energy; to be able to calculate the stored energy and its changes under different circumstances. An air-filled parallel-plate capacitor has plate area A and plate separation d. The capacitor is connected to a battery that creates a constant voltage V. Find the energy Uo stored in the capacitor. Express your answer in terms of A, d, V, and eo. Remember to enter eo as epsilon_0. View Available Hint(s) ? U = Submit Part B The capacitor is now disconnected from the battery, and the plates of the capacitor are then slowly pulled apart until the separation reaches 3d. Find the new energy U of the capacitor after this process. Express your answer in terms of A, d, V, and 0. View Available Hint(s) U = Submit Part C ? The capacitor is now reconnected to the battery, and the plate separation is restored to d. A dielectric plate is slowly moved into the capacitor until the entire space between the plates is filled. Find the energy U2 of the dielectric-filled capacitor. The capacitor remains connected to the battery. The dielectric constant is K. Express your answer in terms of A, d, V, K, and 0. U2 = V ?