A parallel-plate capacitor is connected to a battery. The energy of the capacitor is Uo. 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) ? Submit
A parallel-plate capacitor is connected to a battery. The energy of the capacitor is Uo. 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) ? Submit
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Question
![Part D
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.
A parallel-plate capacitor is connected to a battery. The energy of the capacitor is Ug. 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)
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.
iνα ΑΣφ
U
Uo
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,
Submit
In this part of the problem, you will express the energy of various types of capacitors in terms of their geometry and voltage.
C= €0 A/d, where A is the area of each of the plates and
d is the plate separation. As usual, €o is the permittivity of
free space.
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.
?
U =
Submit
Request Answer](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb2a89562-78b7-410d-ba46-388447ff4822%2F861a965c-3821-45ab-a93e-9d571c0a30cf%2Fdd01nb_processed.png&w=3840&q=75)
Transcribed Image Text:Part D
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.
A parallel-plate capacitor is connected to a battery. The energy of the capacitor is Ug. 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)
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.
iνα ΑΣφ
U
Uo
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,
Submit
In this part of the problem, you will express the energy of various types of capacitors in terms of their geometry and voltage.
C= €0 A/d, where A is the area of each of the plates and
d is the plate separation. As usual, €o is the permittivity of
free space.
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.
?
U =
Submit
Request Answer
![Part B
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,
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.
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.
H ΑΣφ
?
U =
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,
Submit
Request Answer
Part C
C = €, 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.
A parallel-plate capacitor is connected to a battery. The energy of the capacitor is Up. 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)
?
U
Uo
Submit](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb2a89562-78b7-410d-ba46-388447ff4822%2F861a965c-3821-45ab-a93e-9d571c0a30cf%2Faqgv3v_processed.png&w=3840&q=75)
Transcribed Image Text:Part B
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,
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.
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.
H ΑΣφ
?
U =
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,
Submit
Request Answer
Part C
C = €, 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.
A parallel-plate capacitor is connected to a battery. The energy of the capacitor is Up. 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)
?
U
Uo
Submit
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