Item 2 First, consider a capacitor of capacitance C that has a charge Q and pote

Question

Item 2 First, consider a capacitor of capacitance C that has a charge Q and potential difference V. Learning Goal: Part A To be able to calculate the energy of a charged capacitor and to understand the concept of energy associated with an electric field. 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 Express your answer in terms of C' and Q 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. Th can be described as the energy associated with the electric field created inside the capacitor. e energy of a charged capacitor 2 Submit My Answers Give Up 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 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, Correct Part B Find the energy U of the capacitor in terms of C and V by using the definition of capacitance and the formula for the energy in a capacitor C-EQA/d, where A is the area of each of the plates and d is the plate separation. As usual, eo is the permittivity of free space Express your answer in terms of C and V. Submit My Answers Give Up

Explanation / Answer

part B)

by definition energy of capacitor U = QV/2

definition of capacitance C = Q/V

Rearranging, Q = CV

substituting in U, we get U = (CV)V / 2

U = CV2 /2

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