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 55P
A sphere of radius R carries total charge Q distributed uniformly over its surface. Show that the energy stored in its electric field is U = kQ2/2R.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionChapter 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
The worlds fastest elevator, in Taiwans Taipei 101 skyscraper (Fig. 6.18), ascends at the rate of 1010 m/min. C...
Essential University Physics: Volume 1 (3rd Edition)
A ball rebounds elastically from the floor. What doesthis situation share with the ideas of momentum conservati...
Modern Physics
1. On a sunny summer day, with the sun overhead, you can stand under a tree and look on the ground at the patte...
College Physics: A Strategic Approach (3rd Edition)
3. What is free-fall, and why does it make you weightless? Briefly describe why astronauts are weightless in th...
The Cosmic Perspective
12. In the Challenger Deep of the Marianas Trench, the depth of seawater is 10.9 km and the pressure is 1.16 × ...
College Physics (10th Edition)
66. Astronauts use a centrifuge to simulate the acceleration of a rocket launch. The centrifuge takes 30 s to...
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
- How 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_forwardA 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_forwardFour charged particles are at rest at the corners of a square (Fig. P26.14). The net charges are q1 = q2 = +2.65 C and q3 = q4 = 5.15 C. The distance between particle 1 and particle 3 is r13 = 1.75 cm. a. What is the electric potential energy of the four-particle system? b. If the particles are released from rest, what will happen to the system? In particular, what will happen to the systems kinetic energy?arrow_forward
- Four charged particles are at rest at the corners of a square (Fig. P26.14). The net charges are q1 = q2 = 2.65 C and q3 = q4 = 5.15 C. The distance between particle 1 and particle 3 is r13 = 1.75 cm. a. What is the electric potential energy of the four-particle system? b. If the particles are released from rest, what will happen to the system? In particular, what will happen to the systems kinetic energy as their separations become infinite? FIGURE P26.14 Problems 14, 15, and 16.arrow_forwardA thin conducing plate 2.0 m on a side is given a total charge of 10.0C . (a) What is the electric field 1.0 cm above the plate? (b) What is the force on an electron at this point? (c) Repeat these calculations for a point 2.0 cm above the plate. (d) When the electron moves from 1.0 to 2.0 cm above the plate, how much work is done on it by the electric field?arrow_forwardA disk of radius R (Fig. P24.49) has a nonuniform surface charge density = Cr, where C is a constant and r is measured from the center of the disk to a point on the surface of the disk. Find (by direct integration) the electric potential at P. Figure P24.49arrow_forward
- A 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_forwardThe three charged particles in Figure P25.22 are at the vertices of an isosceles triangle (where d = 2.00 cm). Taking q = 7.00 C, calculate the electric potential at point A, the midpoint of the base.arrow_forwardTwo charged particles with q1 = 5.00 C and q2 = 3.00 C are placed at two vertices of an equilateral tetrahedron whose edges all have length s = 4.20 m (Fig. P26.37). Determine what charge q3 should be placed at the third vertex so that the total electric potential at the fourth vertex is 2.00 kV. FIGURE P26.37arrow_forward
- A 5.00-nC charged particle is at point B in a uniform electric field with a magnitude of 625 N/C (Fig. P26.65). What is the change in electric potential experienced by the charge if it is moved from B to A along a. path 1 and b. path 2?arrow_forwardTwo 5.00-nC charged particles are in a uniform electric field with a magnitude of 625 N/C. Each of the particles is moved from point A to point B along two different paths, labeled in Figure P26.65. a. Given the dimensions in the figure, what is the change in the electric potential experienced by the particle that is moved along path 1 (black)? b. What is the change in the electric potential experienced by the particle that is moved along path 2 (red)? c. Is there a path between the points A and B for which the change in the electric potential is different from your answers to parts (a) and (b)? Explain. FIGURE P26.65 Problems 65, 66, and 67.arrow_forwardA particle with charge +q is at the origin. A particle with charge 2q is at x = 2.00 m on the x axis. (a) For what finite value(s) of x is the electric field zero? (b) For what finite value(s) of x is the electric potential zero?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningCollege PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
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:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Electric Fields: Crash Course Physics #26; Author: CrashCourse;https://www.youtube.com/watch?v=mdulzEfQXDE;License: Standard YouTube License, CC-BY