Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 22, Problem 52P
Two identical charges q lie on the x-axis at ± a. (a) Find an expression for the potential at all points in the x-y plane, (b) Show that your result reduces to the potential of a point charge for distances large compared with a.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionChapter 22 Solutions
Essential University Physics (3rd Edition)
Ch. 22.1 - What would happen to the potential difference Vab...Ch. 22.1 - (1) A proton (charge e), (2) an alpha particle...Ch. 22.1 - The figure shows three straight paths AB of the...Ch. 22.2 - You measure a potential difference of 50 V between...Ch. 22.2 - The figure shows three paths from infinity to a...Ch. 22.3 - The figure shows cross sections through two...Ch. 22 - Why can a bird perch on a high-voltage power line...Ch. 22 - One proton is accelerated from rest by a uniform...Ch. 22 - Would a free electron move toward higher or lower...Ch. 22 - The electric Field at the center of a uniformly...
Ch. 22 - Must the potential be zero at any point where the...Ch. 22 - Must the electric field he zero at any point where...Ch. 22 - The potential is constant throughout an entire...Ch. 22 - In considering the potential of an infinite flat...Ch. 22 - Cherry picker trucks for working on power lines...Ch. 22 - Can equipotential surfaces intersect? Explain.Ch. 22 - Is the potential at the center of a hollow,...Ch. 22 - A solid sphere contains positive charge uniformly...Ch. 22 - Two equal hut opposite charges form a dipole....Ch. 22 - The electric potential in a region increases...Ch. 22 - How much work does it take to move a 50-C charge...Ch. 22 - The potential difference between the two sides of...Ch. 22 - It takes 45 J to move a 15-mC charge from point A...Ch. 22 - Show that 1 V/m is the same as 1 N/C.Ch. 22 - Find the magnitude of the potential difference...Ch. 22 - A charge of 3.1 C moves from the positive to the...Ch. 22 - A proton, an alpha particle (a bare helium...Ch. 22 - The potential difference across a typical cell...Ch. 22 - An electric field is given by E= E0, where E0 is a...Ch. 22 - The classical picture of the hydrogen atom has the...Ch. 22 - The potential at the surface of a 10-cm-radius...Ch. 22 - Youre developing a switch for high-voltage power...Ch. 22 - A 3.5-cm-diameter isolated metal sphere carries...Ch. 22 - In a uniform electric field, equipotential planes...Ch. 22 - Figure 22.22 shows a plot of potential versus...Ch. 22 - figure 22.23 shows some equipotentials in the x-y...Ch. 22 - The electric potential in a region is given by V =...Ch. 22 - Dielectric breakdown of air occurs at fields of 3...Ch. 22 - Youre an automotive engineer working on the...Ch. 22 - A large metal sphere has three times the diameter...Ch. 22 - Two points A and B lie 15 cm apart in a uniform...Ch. 22 - The electric field within a cell membrane is...Ch. 22 - Whats the potential difference between the...Ch. 22 - Whats the charge on an ion that gains 1.61015 J...Ch. 22 - Two Hat metal plates are a distance d apart, where...Ch. 22 - An electron passes point A moving at 6.5 Mm/s. At...Ch. 22 - A 5.0-g object carries 3.8 C. It acquires speed v...Ch. 22 - Points A and B lie 32.0 cm apart on a line...Ch. 22 - A sphere of radius R carries negative charge of...Ch. 22 - Proton-beam therapy can be preferable to X rays...Ch. 22 - A thin spherical shell has radius R and total...Ch. 22 - A solid sphere of radius R carries charge Q...Ch. 22 - Find the potential as a function of position in...Ch. 22 - Your radio station needs a new coaxial cable to...Ch. 22 - The potential difference between the surface of a...Ch. 22 - Three equal charges q form an equilateral triangle...Ch. 22 - A charge +Q lies at the origin and 3Q at x = a....Ch. 22 - Two identical charges q lie on the x-axis at a....Ch. 22 - A dipole of moment p = 2.9 nC m consists of two...Ch. 22 - A thin plastic rod 20 cm long carries 3.2 nC...Ch. 22 - A thin ring of radius R carries charge 3Q...Ch. 22 - The potential at the center of a uniformly charged...Ch. 22 - The annulus shown in Fig. 22.25 carries a uniform...Ch. 22 - The potential in a region is given by V = axy,...Ch. 22 - Use Equation 22.6 to calculate the electric field...Ch. 22 - Use the result of Example 22.6 to determine the...Ch. 22 - The electric potential in a region is given by V =...Ch. 22 - Two metal spheres each 1.0 cm in radius are far...Ch. 22 - Two 5.0-cm-diameter conducting spheres are 8.0 m...Ch. 22 - A 2.0-cm-radius metal sphere carries 75 nC and is...Ch. 22 - A sphere of radius R carries a nonuniform but...Ch. 22 - The potential as a function of position in a...Ch. 22 - A conducting sphere 5.0 cm in radius carries 60...Ch. 22 - INTERPRET Ibis problem deals with the electric...Ch. 22 - The potential on the axis of a uniformly charged...Ch. 22 - A uranium nucleus (mass 238 u, charge 92e) decays,...Ch. 22 - The Taser, an ostensibly nonlethal weapon used by...Ch. 22 - Using the dipole potential at points far from a...Ch. 22 - Measurements of the potential at points on the...Ch. 22 - Find an equation describing the V = 0...Ch. 22 - A thin rod of length L carries charge Q...Ch. 22 - For the rod of the preceding problem, (a) find an...Ch. 22 - A disk of radius a carries nonuniform surface...Ch. 22 - An open ended cylinder of radius a and length 2a...Ch. 22 - A line charge extends along the x-axis from L/2 to...Ch. 22 - Repeat Problem 79 for the charge distribution =...Ch. 22 - Youre sizing a new electric transmission line, and...Ch. 22 - bio Standard electrocardiography measures...Ch. 22 - bio Standard electrocardiography measures...Ch. 22 - bio Standard electrocardiography measures...Ch. 22 - bio Standard electrocardiography measures...
Additional Science Textbook Solutions
Find more solutions based on key concepts
You've dropped your car keys at night off the end of a dock into water 1.6 m deep. A flashlight held directly a...
Essential University Physics: Volume 2 (3rd Edition)
55. Why does the Big Dipper change its position in the night sky over the course of the evening, whereas Polari...
Conceptual Physical Science (6th Edition)
73. Because the droplets are conductors, a droplet's positive and negative charges will separate while the drop...
College Physics: A Strategic Approach (4th Edition)
11.52 A Truck on a Drawbridge. A loaded cement mixer drives onto an old drawbridge, where it stalls with its ce...
University Physics (14th Edition)
Explain all answer clearly, with complete sentences and proper essay structure if needed. An asterisk (*) desig...
The Cosmic Perspective Fundamentals (2nd Edition)
32. (II) Figure 4-53 [shows a block (mass mA) on a smooth horizontal surface, connected by a thin cord that pas...
Physics: Principles with Applications
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 positive point charge q = +2.50 nC is located at x = 1.20 m and a negative charge of 2q = 5.00 nC is located at the origin as in Figure P16.18. (a) Sketch the electric potential versus x for points along the x-axis in the range 1.50 m x 1.50 m. (b) Find a symbolic expression for the potential on the x-axis at an arbitrary point P between the two charges. (c) Find the electric potential at x = 0.600 m. (d) Find the point along the x-axis between the two charges where the electric potential is zero.arrow_forwardThe three charged particles in Figure P20.11 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. Figure P20.11arrow_forwardTwo large charged plates of charge density 30C/m2 face each other at a separation of 5.0 mm. (a) Find the electric potential everywhere, (b) An electron is released from rest at the negative plate; with what speed will it strike the positive plate?arrow_forward
- The two charges in Figure P16.12 are separated by d = 2.00 cm. Find the electric potential at (a) point A and (b) point B, which is hallway between the charges. Figure P16.12arrow_forwardA uniformly charged insulating rod of length 14.0 cm is bent into the shape of a semicircle as shown in Figure P20.29. The rod has a total charge of 7.50 C. Find the electric potential at O, the center of the semicircle. Figure P20.29arrow_forwardAn infinite number of charges with q = 2.0 C are placed along the x axis at x = 1.0 m, x = 2.0 m, x = 4.0 m, x = 8.0 m, and so on, as shown in Figure P26.78. Determine the electric potential at the point x = 0 due to this set of charges. Hint: Use the mathematical formula for a geometric series, 1+r+r2+r3+r4+=11r FIGURE P26.78arrow_forward
- In Active Figure 20.8a, take q1 to be a negative source charge and q2 to be the test charge. (i) If q2 is initially positive and is changed to a charge of the same magnitude but negative, what happens to the potential at the position of q2 due to q1? (a) It increases. (b) It decreases. (c) It remains the same. (ii) When q2 is changed from positive to negative, what happens to the potential energy of the two-charge system? Choose from the same possibilities.arrow_forwardIf a proton is released from rest in an electric field, will it move in the direction of increasing or decreasing potential? Also answer this question for an electron and a neutron. Explain why.arrow_forwardA metallic sphere of radius 2.0 cm is charged with +5.0C charge, which spreads on the surface of the sphere uniformly. The metallic sphere stands on an insulated stand and is surrounded by a larger metallic spherical shell, of inner radius 5.0 cm and outer radius 6.0 cm. Now, a charge of 5.0C is placed on the inside of the spherical shell, which spreads out uniformly on the inside surface of the shell. If potential is zero at infinity, what is the potential of (a) the spherical shell, (b) the sphere, (c) the space between the two, (d) inside the sphere, and (e) outside the shell?arrow_forward
- Three particles with equal positive charges q are at the corners of an equilateral triangle of side a as shown in Figure P20.10. (a) At what point, if any, in the plane of the particles is the electric potential zero? (b) What is the electric potential at the position of one of the particles due to the other two particles in the triangle? Figure P20.10arrow_forwardAn electron moving parallel to the x axis has an initial speed of 3.70 106 m/s at the origin. Its speed is reduced to 1.40 105 m/s at the point x = 2.00 cm. (a) Calculate the electric potential difference between the origin and that point. (b) Which point is at the higher potential?arrow_forwardAn infinite number of charges with |q| =2.0 C are placed along the x axis at x = 1.0 m, x = 2.0 m, x = 4.0 m, x = 8.0 m, and so on, as shown in Figure R26.79. What will be the electric potential at x = 0 if the consecutive charges have alternating signs as shown in Figure P26.79? Hint: Use the mathematical formula for a geometric series, 1+r+r2+r3+r4+=11r FIGURE P26.79arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningGlencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-Hill
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Glencoe Physics: Principles and Problems, Student...
Physics
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Glencoe/McGraw-Hill
Electric Fields: Crash Course Physics #26; Author: CrashCourse;https://www.youtube.com/watch?v=mdulzEfQXDE;License: Standard YouTube License, CC-BY