Quantit... Macmillan: Quantit... All Bookmarks First, consider a capacitor of capacitance C that has a charge Q and potential difference V Learning Goal: To be able to calculate the energy of a charged capacitor and to understand the concept Part A of energy associated with an electric field. The energy of a charged capacitor is given by U = QV/2, where Q is the charge of the capacitor and V is the potential difference across the capacitor. The energy of a Find the energy U of the capacitor in terms of C and Q by using the definition of capacitance and the formula for the energy in a capacitor. charged capacitor can be described as the energy associated with the electric field Express your answer in terms of C and Q. created inside the capacitor. In this problem, you will derive two more formulas for the energy of a charged capacitor; you will then use a parallel-plate capacitor as a vehicle for obtaining the formula for the AEQ energy density associated with an electric field. It will be useful to recall the definition of capacitance, C = Q/V, and the formula for the capacitance of a parallel-plate capacitor, U= C = 6.A/d, where A is the area of each of the plates and d is the plate separation. As usual, 6 is the permittivity of free space. Submit Request Answer Part B Complete previous part(s) Part C A parallel-plate capacitor is connected to a battery. The energy of the capacitor is U. The capacitor remains connected to the battery while the plates are slowly pulled apart until the plate separation doubles. The new energy of the capacitor is U. Find the ratio U /Uo View Available Hint(s) AEd U Submit Part D A parallel-plate capacitor is connected to a battery. The energy of the capacitor is Up- The capacitor is then disconnected from the battery and the plates are slowly pulled apart until the plate separation doubles. The new energy of the capacitor is U. Find the ratio U /Uo- View Available Hint(s) IV AEQ Submit In this part of the problem, you will express the energy of various types of capacitors in terms of their geometry and voltage