To be able to calculate the energy of a charged capacitor and to understand the concept 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 charged capacitor can be described as the energy associated with the electric field 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 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,
C=ϵ0A/d, where A is the area of each of the plates and d is the plate separation. As usual, ϵ0 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.
Part E
A parallel-plate capacitor has area A and plate separation d, and it is charged to voltage V. Use the formulas from the problem introduction to obtain the formula for the energy U of the capacitor.
Express your answer in terms of A, d, V, and appropriate constants.
Part F
A parallel-plate capacitor has area A and plate separation d, and it is charged so that the electric field inside isE. Use the formulas from the problem introduction to find the energy U of the capacitor.
Express your answer in terms of A, d, E, and appropriate constants.
Part G
Find the energy density u of the electric field in a parallel-plate capacitor. The magnitude of the electric field inside the capacitor is E.
Express your answer in terms of E and appropriate constants.

--A capacitor is a device that stores electrical energy in an electric field by virtue of accumulating electric charges on two close surfaces insulated from each other.

It is a passive electronic component with two terminals.

--The effect of a capacitor is known as capacitance

What is Energy Density ?

--Energy density is the amount of energy that can be stored in a given system, substance, or region of space.

--Energy density can be measured in energy per volume or per mass.

--The higher the energy density of a system or material, the greater the amount of energy it has stored.

What is electric Field?

--The electric field is defined mathematically as a vector field that can be associated with each point in space, the force per unit charge exerted on a positive test charge at rest at that point.

--The electric field is generated by the electric charge or by time-varying magnetic fields.

Learn more about magnetic field from https://brainly.com/question/14411049.

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