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)...
icon
Related questions
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
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
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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 10 images

Blurred answer
Knowledge Booster
Parallel-plate capacitor
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON