Please answer Part B of the question. Item 7 Constants First, consider a capacit

Question

Please answer Part B of the question.

Item 7 Constants 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 of energy associated with an electric field Part A The energy of a charged capacitor is given by UQV/2, where is the charge of the capacitor and V is the potential difference across the capacitor. The energy of a charged capacitor can be described as the energy associated with the electric field created inside the capacitor. 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 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, 2C Previous Answers Correct C E0 A/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 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. Express your answer in terms of C and V. SubmitPr Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remaining The correct answer does not depend on: Q

Explanation / Answer

Part A

Energy stored is given by:

U = QV/2

And Capacitance is given by:

C = Q/V

V = Q/C

In terms of C and Q

U = Q*(Q/C)/2 = Q2/(2C)

Part B

in terms of C and V

C = Q/V

Q = C*V

Now

U = Q*V/2

U = (C*V)*V/2

U = CV2/2

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