Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN: 9781305116399
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 25, Problem 25.41P
The electric potential inside a charged spherical conductor of radius R is given by V = keQ/R, and the potential outside is given by V = keQ/R, Using Er = —dV/dr, derive the electric field (a) inside and (b) outside this charge distribution.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
A charge of 60 pC is distributed on an isolated spherical conductor that has a 4.0 cm radius. Point A is 1.0 cm from the center of the conductor and point B is 6 cm from the center of the conductor. Determine the electric potential difference VA-VB.
The electric potential (in SI units) in a region of space surrounding a distribution of charge is given by V(x,y)=4ay-bx3. What is the corresponding electric field E⃗(x,y)?
A long, solid, conducting cylinder has a radius of 2.2 cm. The electric field at the surface of the cylinder is 520 N/C, directed radially
outward. Let A, B, and C be points that are 1.2 cm, 2.2 cm, and 4.1 cm, respectively, from the central axis of the cylinder. What are (a)
the magnitude of the electric field at C and the electric potential differences (b)Vg- Vc and (c)VA - Vg?
(a) Number
Units
(b) Number
Units
Units
(c) Number
Chapter 25 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
Ch. 25 - In Figure 24.1, two points and are located...Ch. 25 - The labeled points in Figure 24.4 are on a series...Ch. 25 - In Figure 24.8b, take q2, to be a negative source...Ch. 25 - In a certain region of space, the electric...Ch. 25 - In a certain region of space, the electric field...Ch. 25 - Consider the equipotential surfaces shown in...Ch. 25 - (i) A metallic sphere A of radius 1.00 cm is...Ch. 25 - The electric potential at x = 3.00 m is 120 V, and...Ch. 25 - Rank the potential energies of the lour systems of...Ch. 25 - In a certain region of space, a uniform electric...
Ch. 25 - Rank the electric potentials at the four points...Ch. 25 - An electron in an x-ray machine is accelerated...Ch. 25 - Rank the electric potential energies of the...Ch. 25 - Four particles are positioned on the rim of a...Ch. 25 - A proton is released from rest at the origin in a...Ch. 25 - A particle with charge -40.0 nC is on the x axis...Ch. 25 - A filament running along the x axis from the...Ch. 25 - In different experimental trials, an electron, a...Ch. 25 - A helium nucleus (charge = 2e. mass = 6.63 ...Ch. 25 - What determines the maximum electric potential to...Ch. 25 - Describe the motion of a proton (a) after it is...Ch. 25 - When charged particles are separated by an...Ch. 25 - Study Figure 23.3 and the accompanying text...Ch. 25 - Distinguish between electric potential and...Ch. 25 - Describe the equipotential surfaces for (a) an...Ch. 25 - Oppositely charged parallel plates are separated...Ch. 25 - A uniform electric field of magnitude 250 V/m is...Ch. 25 - (a) Calculate the speed of a proton that is...Ch. 25 - How much work is done (by a battery, generator, or...Ch. 25 - A uniform electric field of magnitude 325 V/m is...Ch. 25 - Starting with the definition of work, prove that...Ch. 25 - An electron moving parallel to the x axis has an...Ch. 25 - (a) Find the electric potential difference Ve...Ch. 25 - A particle having charge q = +2.00 C and mass m =...Ch. 25 - Review. A block having mass m and charge + Q is...Ch. 25 - An insulating rod having linear charge density =...Ch. 25 - (a) Calculate the electric potential 0.250 cm from...Ch. 25 - Two point charges are on the y axis. A 4.50-C...Ch. 25 - The two charges in Figure P25.14 are separated by...Ch. 25 - Three positive charges are located at the corners...Ch. 25 - Two point charges Q1 = +5.00 nC and Q2 = 3.00 nC...Ch. 25 - Two particles, with charges of 20.0 11C and -20.0...Ch. 25 - The two charges in Figure P24.12 are separated by...Ch. 25 - Given two particles with 2.00-C charges as shown...Ch. 25 - At a certain distance from a charged particle, the...Ch. 25 - Four point charges each having charge Q are...Ch. 25 - The three charged particles in Figure P25.22 are...Ch. 25 - A particle with charge +q is at the origin. A...Ch. 25 - Show that the amount of work required to assemble...Ch. 25 - Two particles each with charge +2.00 C are located...Ch. 25 - Two charged particles of equal magnitude are...Ch. 25 - Four identical charged particles (q = +10.0 C) are...Ch. 25 - Three particles with equal positive charges q are...Ch. 25 - Five particles with equal negative charges q are...Ch. 25 - Review. A light, unstressed spring has length d....Ch. 25 - Review. Two insulating spheres have radii 0.300 cm...Ch. 25 - Review. Two insulating spheres have radii r1 and...Ch. 25 - How much work is required to assemble eight...Ch. 25 - Four identical particles, each having charge q and...Ch. 25 - In 1911, Ernest Rutherford and his assistants...Ch. 25 - Figure P24.22 represents a graph of the electric...Ch. 25 - The potential in a region between x = 0 and x =...Ch. 25 - An electric field in a region of space is parallel...Ch. 25 - Over a certain region of space, the electric...Ch. 25 - Figure P24.23 shows several equipotential lines,...Ch. 25 - The electric potential inside a charged spherical...Ch. 25 - It is shown in Example 24.7 that the potential at...Ch. 25 - Consider a ring of radius R with the total charge...Ch. 25 - A uniformly charged insulating rod of length 14.0...Ch. 25 - A rod of length L (Fig. P24.25) lies along the x...Ch. 25 - For the arrangement described in Problem 25,...Ch. 25 - A wire having a uniform linear charge density is...Ch. 25 - The electric field magnitude on the surface of an...Ch. 25 - How many electrons should be removed from an...Ch. 25 - A spherical conductor has a radius of 14.0 cm and...Ch. 25 - Electric charge can accumulate on an airplane in...Ch. 25 - Lightning can be studied with a Van de Graaff...Ch. 25 - Why is the following situation impossible? In the...Ch. 25 - Review. In fair weather, the electric field in the...Ch. 25 - Review. From a large distance away, a particle of...Ch. 25 - Review. From a large distance away, a particle of...Ch. 25 - The liquid-drop model of the atomic nucleus...Ch. 25 - On a dry winter day, you scuff your leather-soled...Ch. 25 - The electric potential immediately outside a...Ch. 25 - (a) Use the exact result from Example 24.4 to find...Ch. 25 - Calculate the work that must be done on charges...Ch. 25 - Calculate the work that must be done on charges...Ch. 25 - The electric potential everywhere on the xy plane...Ch. 25 - Why is the following situation impossible? You set...Ch. 25 - From Gauss's law, the electric field set up by a...Ch. 25 - A uniformly charged filament lies along the x axis...Ch. 25 - The thin, uniformly charged rod shown in Figure...Ch. 25 - A GeigerMueller tube is a radiation detector that...Ch. 25 - Review. Two parallel plates having charges of...Ch. 25 - When an uncharged conducting sphere of radius a is...Ch. 25 - An electric dipole is located along the y axis as...Ch. 25 - A solid sphere of radius R has a uniform charge...Ch. 25 - A disk of radius R (Fig. P24.49) has a nonuniform...Ch. 25 - Four balls, each with mass m, are connected by...Ch. 25 - (a) A uniformly charged cylindrical shell with no...Ch. 25 - As shown in Figure P25.76, two large, parallel,...Ch. 25 - A particle with charge q is located at x = R, and...
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
- The surface charge density on a long straight metallic pipe is . What is the electric potential outside and inside the pipe? Assume the pipe has a diameter of 2a.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_forwardFrom Gauss's law, the electric field set up by a uniform line of charge is E=(20r)r where r is a unit vector pointing radially away from the line and is the linear charge density along the line. Derive an expression for the potential difference between r = r1, and r = r2.arrow_forward
- A small spherical pith ball of radius 0.50 cm is painted with a silver paint and then -10 C of charge is placed on it. The charged pith ball is put at the center of a gold spherical shell of inner radius 2.0 cm and outer radius 2.2 cm. (a) Find the electric potential of the gold shell with respect to zero potential at infinity, (b) How much charge should you put on the gold shell if you want to make its potential 100 V?arrow_forwardAn election enters a region between two large parallel plates made of aluminum separated by a distance of 2.0 cm and kept at a potential difference of 200 V. The electron enters through a small hole in the negative plate and moves toward the positive plate. At the time the electron is near the negative plate, its speed is 4.0103 m/s. Assume the electric field between the plates to be uniform, and find the speed of electron at (a) 0.10 cm, (b) 0.50 cm, (c) 1.0 cm, and (d) 1.5 cm from the negative plate, and (e) immediately before it hits the positive plate.arrow_forwardFigure P26.80 shows a wire with uniform charge per unit length = 2.25 nC/m comprised of two straight sections of length d = 75.0 cm and a semicircle with radius r = 25.0 cm. What is the electric potential at point P, the center of the semicircular portion of the wire? FIGURE P26.80arrow_forward
- Figure P26.44 shows a rod of length = 1.00 m aligned with the y axis and oriented so that its lower end is at the origin. The charge density on the rod is given by = a + by, with a = 2.00 C/m2 and b = 1.00 C /m2. What is the electric potential at point P with coordinates (0, 25.0 cm)? A table of integrals will aid you in solving this problem.arrow_forward(a) Calculate the electric potential 0.250 cm from ail electron, (b) What is the electric potential difference between two points that are 0.250 cm and 0.750 cm from an electron? (c) How would the answers change if the electron were replaced with a proton?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_forward
- A 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_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_forwardA rod of length L (Fig. P20.26) lies along the x axis with its left end at the origin. It has a nonuniform charge density = x, where is a positive constant. (a) What are the units of ? (b) Calculate the electric potential at A. Figure P20.26arrow_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, Technology ...PhysicsISBN:9781305116399Author: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 CollegeCollege PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher: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, Technology ...
Physics
ISBN:9781305116399
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
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