Essential University Physics: Volume 2 (3rd Edition)
3rd Edition
ISBN: 9780321976420
Author: Richard Wolfson
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 23, Problem 53P
A cubical region 1.0 m on a side is located between x = 0 and x = 1 m. The region contains an electric field whose magnitude varies with x but is independent of y and z:E = E0(x/x0), where E0 = 24 kV/m and x0 = 6.0 m. Find the total energy in the region.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A uniform electric field E = 3250 V/m exists within a certain region. What volume of space contains an energy equal to 1.15 x 10/ J? Express your answer in cubic meters and in liters.
m3
L
Suppose a capacitor consists of two coaxial thin cylindrical conductors. The inner cylinder of radius ra has a charge of +Q, while the outer cylinder of radius rb has charge -Q.
The electric field E at a radial distance r from the central axis is given by the function:
E = ae Trao + B/r + bo
where alpha (a), beta (ß), ao and bo are constants. Find an expression for its capacitance.
First, let us derive the potential difference ab between the two conductors. The potential difference is related to the electric field by:
Vob =
- S *Edr= - ["Edr
Calculating the antiderivative or indefinite integral,
Vab = (-aage"
o-r/ao + B
+ bo
By definition, the capacitance C is related to the charge and potential difference by:
C =
Evaluating with the upper and lower limits of integration for Vab, then simplifying:
C = Q/(
(erb/ao - eralao) + ß In(
) + bo (
))
The potential field in a region in vacuum is y =x+y+z volts. Find the total potential energy stored in a cube with two of its sides on x = -1 and x 3. All coordinates are measured in
meters.
O around 650 picojoules;
O around 700 picojoules;
O around 500 picojoules;
O around 850 picojoules;
Chapter 23 Solutions
Essential University Physics: Volume 2 (3rd Edition)
Ch. 23.1 - Three positive charges and one negative charge,...Ch. 23.2 - If I give you a 5-gallon bucket, you know how much...Ch. 23.3 - You need to replace a capacitor with one that can...Ch. 23.3 - GOT IT? 23.4 You have two identical capacitors...Ch. 23.4 - Youre at a point P a distance a from a point...Ch. 23 - Two positive point charges are infinitely far...Ch. 23 - How does the energy density at a certain distance...Ch. 23 - A dipole consists of two equal but opposite...Ch. 23 - Charge is spread over the surface of a balloon,...Ch. 23 - Does the superposition principle hold for...
Ch. 23 - A student argues that the total energy associated...Ch. 23 - A capacitor is said to carry a charge Q. Whats the...Ch. 23 - Does the capacitance describe the maximum amount...Ch. 23 - Is a force needed to hold the plates of a charged...Ch. 23 - A solid conducting slab is inserted between the...Ch. 23 - Two capacitors contain equal amounts of energy,...Ch. 23 - A parallel-plate capacitor is connected to a...Ch. 23 - Four 75-C charges, initially far apart, are...Ch. 23 - Three point charges +q and a fourth, 12q, are...Ch. 23 - Repeat Exercise 14 for the case when the fourth...Ch. 23 - If the three particles in Fig. 23.1 have identical...Ch. 23 - A crude model of the water molecule has a...Ch. 23 - A capacitor consists of square conducting plates...Ch. 23 - An uncharged capacitor has parallel plates 5.0 cm...Ch. 23 - (a) How much charge must be transferred between...Ch. 23 - A capacitors plates hold 1.3 C when charged to 60...Ch. 23 - Show that the units of 0 may be written as F/m.Ch. 23 - Find the capacitance of a parallel-plate capacitor...Ch. 23 - A parallel-plate capacitor with 1.1-mm plate...Ch. 23 - The power supply in a stereo receiver contains a...Ch. 23 - Find the capacitance of a capacitor that stores...Ch. 23 - You have a 1.0-F and a 2.0-F capacitor. What...Ch. 23 - Two capacitors are connected in series and the...Ch. 23 - (a) Find the equivalent capacitance of the...Ch. 23 - Youre given three capacitors: 1.0 F, 2.0 F, and...Ch. 23 - The energy density in a uniform electric field is...Ch. 23 - A car battery stores about 4 MJ of energy. If this...Ch. 23 - Air undergoes dielectric breakdown at a field...Ch. 23 - Consider a proton to be a uniformly charged sphere...Ch. 23 - A charge Q0 is at the origin. A second charge. Qx...Ch. 23 - A conducting sphere of radius a is surrounded by a...Ch. 23 - Two closely spaced square conducting plates...Ch. 23 - The potential difference across a cell membrane is...Ch. 23 - Which can store more energy: a 1.0-F capacitor...Ch. 23 - A 0.01-F, 300-V capacitor costs 25; a 0.1-F, 100-V...Ch. 23 - A medical defibrillator stores 950 J in a 100-F...Ch. 23 - A camera requires 5.0 J of energy for a flash...Ch. 23 - Engineers testing an ultracapacitor (see...Ch. 23 - Your companys purchasing department bought lots of...Ch. 23 - Whats the equivalent capacitance measured between...Ch. 23 - In Fig. 23.14, find the energy stored in the 1-F...Ch. 23 - Capacitors C1, and C2 are in series, with voltage...Ch. 23 - Youre evaluating a new hire in your companys...Ch. 23 - A parallel-plate capacitor has plates with area 50...Ch. 23 - A 470-pF capacitor consists of two 15-cm-radius...Ch. 23 - The first accurate estimate of cell membrane...Ch. 23 - Your company is still stuck with those 2-F...Ch. 23 - A cubical region 1.0 m on a side is located...Ch. 23 - A sphere of radius R contains charge Q spread...Ch. 23 - A sphere of radius R carries total charge Q...Ch. 23 - Prob. 56PCh. 23 - Two widely separated 4.0-mm-diameter water drops...Ch. 23 - A 2.1-mm-diameter wire carries a uniform line...Ch. 23 - A typical lightning flash transfers 30 C across a...Ch. 23 - A capacitor consists of two long concentric metal...Ch. 23 - A capacitor consists of a conducting sphere of...Ch. 23 - Show that the result of Problem 61 reduces to that...Ch. 23 - A solid sphere contains a uniform volume charge...Ch. 23 - An air-insulated parallel-plate capacitor of...Ch. 23 - Repeat parts (b) and (c) of Problem 64, now...Ch. 23 - A transmission line consists of two parallel...Ch. 23 - An infinitely long rod of radius R carries uniform...Ch. 23 - (a) Write the electrostatic potential energy of a...Ch. 23 - An unknown capacitor C is connected in series with...Ch. 23 - What total capacitance is required if the...Ch. 23 - If it were technically and economically feasible...Ch. 23 - While theyre firing, the average power delivered...Ch. 23 - Among the capacitors that store energy at NIF are...
Additional Science Textbook Solutions
Find more solutions based on key concepts
Q9.2 A diatomic molecule can be modeled as two point masses, m1 and m2, slightly separated (Fig. Q9.2). If the ...
University Physics with Modern Physics (14th Edition)
Fiberglass is a popular, economical, and fairly effective building insulation. It consists of fine glass fibers...
Essential University Physics: Volume 1 (3rd Edition)
Choose the best answer to etch of the following. Explain your reasoning. 1.Plants and animal are (a) the two ma...
The Cosmic Perspective Fundamentals (2nd Edition)
36. A uniform 2.5 T magnetic field points to the right. A 3.0-m-long wire, carrying 15 A, is placed at an angle...
College Physics: A Strategic Approach (4th Edition)
1. When is energy most evident?
Conceptual Physics (12th Edition)
25. FIGURE EX4.25 shows the angular-velocity-versus-time graph for a particle moving in a circle, starting from...
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
Knowledge Booster
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
- A uniform electric field E = 3 000 V/m exists within a certain region. What volume of space contains an energy equal to 1.00 107 J? Express your answer in cubic meters and in liters.arrow_forwardAn electric potential exists in a region of space such that V = 8x4 2y2 + 9z3 and V is in units of volts, when x, y, and z are in meters. a. Find an expression for the electric field as a function of position. b. What is the electric field at (2.0 m, 4.5 m, 2.0 m)?arrow_forwardHow many electrons should be removed from an initially uncharged spherical conductor of radius 0.300 m to produce a potential of 7.50 kV at the surface?arrow_forward
- (a) Will the electric field strength between two parallel conducting plates exceed the breakdown strength of dry air, which is 3.00106 V/m, if the plates are separated by 2.00 mm and a potential difference of 5.010V is applied? (b) How close together can the plates be with this applied voltage?arrow_forwardA spherical capacitor is formed from two concentric spherical conducting spheres separated by vacuum. Tire inner sphere has radius 12.5 cm and the outer sphere has radius 14.8 cm. A potential difference of 120 V is applied to the capacitor, (a) What is the capacitance of the capacitor? tb) What is the magnitude of the electrical field at r = 12.6 cm, just outside the inner sphere? (c) What is the magnitude of the electrical field at r = 14.7 cm, just inside the outer sphere? (d) For a parallel-plate capacitor the electrical field is uniform in the region between the plates, except near the edges of the plates. Is this also true for a spherical capacitor?arrow_forward(a) Will the electric field strength between two parallel conducting plates exceed the breakdown strength for air ( 3.0 106 V/m) if the plates are separated by 2.00 mm and a potential difference of 5.0 103 V is applied? (b) How close together can the plates be with this applied voltage?arrow_forward
- By what factor is the capacitance of a metal sphere multiplied if its volume is tripled? (a) 3 (b) 31/3 (c) 1 (d) 31/3 (e) 13arrow_forward(a) What is the final speed of an electron accelerated from rest through a voltage of 25.0 MV by a negatively charged Van de Graff terminal? (b) What is unreasonable about this result? (c) Which assumptions are responsible?arrow_forwardA proton is released from rest at the origin in a uniform electric field in the positive x direction with magnitude 850 N/C. What is the change in the electric potential energy of the protonfield system when the proton travels to x = 2.50 m? (a) 3.40 1016 J (b) 3.40 1016 J (c) 2.50 1016 J (d) 2.50 1016 J (e) 1.60 1019 Jarrow_forward
- At a certain distance from a charged particle, the magnitude of the electric field is 500 V/m and the electric potential is 3.00 kV. (a) What is the distance to the particle? (b) What is the magnitude of the charge?arrow_forwardA charged particle is moved in a uniform electric field between two points, A and B, as depicted in Figure P26.65. Does the change in the electric potential or the change in the electric potential energy of the particle depend on the sign of the charged particle? Consider the movement of the particle from A to B, and vice versa, and determine the signs of the electric potential and the electric potential energy in each possible scenario.arrow_forwardA water molecule is made up of two hydrogen atoms and one oxygen atom, with a total of 10 electrons and 10 protons. The molecule is modeled as a dipole with an effective separation d = 3.9 1012 m between its positive and negative particles. What is the electric potential energy stored in the dipole? What does the sign of your answer mean?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
- College PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax College
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:OpenStax College
Electric Fields: Crash Course Physics #26; Author: CrashCourse;https://www.youtube.com/watch?v=mdulzEfQXDE;License: Standard YouTube License, CC-BY