Bundle: Physics For Scientists And Engineers With Modern Physics, 10th + Webassign Printed Access Card For Serway/jewett's Physics For Scientists And Engineers, 10th, Multi-term
10th Edition
ISBN: 9781337888516
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 23, Problem 45CP
A slab of insulating material has a nonuniform positive charge density ρ = Cx2, where x is measured from the center of the slab as shown in Figure P23.45 and C is a constant. The slab is infinite in the y and z directions. Derive expressions for the electric field in (a) the exterior regions (|x| > d/2) and (b) the interior region of the slab (−d/2 < x < d/2).
Figure P23.45
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A slab of insulating material has a nonuniform positive charge density ρ = Cx2, where x is measured from the center of the slab as shown and C is a constant. The slab is infinite in the y and z directions. Derive expressions for the electric field in (a) the exterior regions (|x| > d/2) and (b) the interior region of the slab (-d/2 < x < d/2).
E6P6
Review. A slab of insulating material
(infinite in the y and z directions)
has a thickness d and a uniform pos-
itive charge density p. An edge view
of the slab is shown in Figure P23.45.
(a) Show that the magnitude of the electric field a dis-
tance x from its center and inside the slab is E = px/e,.
(b) What If? Suppose an electron of charge -e and mass
m, can move freely within the slab. It is released from
rest at a distance x from the center. Show that the elec-
tron exhibits simple harmonic motion with a frequency
1
pe
m Eo
Chapter 23 Solutions
Bundle: Physics For Scientists And Engineers With Modern Physics, 10th + Webassign Printed Access Card For Serway/jewett's Physics For Scientists And Engineers, 10th, Multi-term
Ch. 23.2 - Suppose a point charge is located at the center of...Ch. 23.3 - If the net flux through a gaussian surface is...Ch. 23 - A negatively charged rod of finite length carries...Ch. 23 - A positively charged disk has a uniform charge per...Ch. 23 - A uniformly charged ring of radius 10.0 cm has a...Ch. 23 - The electric field along the axis of a uniformly...Ch. 23 - Example 23.3 derives the exact expression for the...Ch. 23 - A uniformly charged rod of length L and total...Ch. 23 - A continuous line of charge lies along the x axis,...Ch. 23 - A thin rod of length and uniform charge per unit...
Ch. 23 - (a) Consider a uniformly charged, thin-walled,...Ch. 23 - A vertical electric field of magnitude 2.00 104...Ch. 23 - A flat surface of area 3.20 m2 is rotated in a...Ch. 23 - A nonuniform electric field is given by the...Ch. 23 - An uncharged, nonconducting, hollow sphere of...Ch. 23 - Find the net electric flux through the spherical...Ch. 23 - Four closed surfaces, S1 through S4 together with...Ch. 23 - A charge of 170 C is at the center of a cube of...Ch. 23 - (a) Find the net electric flux through the cube...Ch. 23 - A particle with charge of 12.0 C is placed at the...Ch. 23 - A particle with charge Q = 5.00 C is located at...Ch. 23 - Prob. 20PCh. 23 - Prob. 21PCh. 23 - Find the net electric flux through (a) the closed...Ch. 23 - Figure P23.23 represents the top view of a cubic...Ch. 23 - Determine the magnitude of the electric field at...Ch. 23 - Prob. 25PCh. 23 - Prob. 26PCh. 23 - A large, flat, horizontal sheet of charge has a...Ch. 23 - A nonconducting wall carries charge with a uniform...Ch. 23 - A uniformly charged, straight filament 7.00 m in...Ch. 23 - You are working on a laboratory device that...Ch. 23 - Consider a long, cylindrical charge distribution...Ch. 23 - Assume the magnitude of the electric field on each...Ch. 23 - A solid sphere of radius 40.0 cm has a total...Ch. 23 - A cylindrical shell of radius 7.00 cm and length...Ch. 23 - You are working for the summer at a research...Ch. 23 - You are working for the summer at a research...Ch. 23 - Find the electric flux through the plane surface...Ch. 23 - Prob. 38APCh. 23 - Prob. 39APCh. 23 - Show that the maximum magnitude Emax of the...Ch. 23 - A line of positive charge is formed into a...Ch. 23 - Prob. 42APCh. 23 - A sphere of radius R = 1.00 m surrounds a particle...Ch. 23 - A sphere of radius R surrounds a particle with...Ch. 23 - A slab of insulating material has a nonuniform...Ch. 23 - A sphere of radius 2a is made of a nonconducting...Ch. 23 - Prob. 47CPCh. 23 - Prob. 48CPCh. 23 - Review. A slab of insulating material (infinite in...Ch. 23 - Identical thin rods of length 2a carry equal...Ch. 23 - A solid insulating sphere of radius R has a...
Additional Science Textbook Solutions
Find more solutions based on key concepts
2. Which of the following is the best example of the use of a referent? _
a. A red bicycle
b. Big as a dump tru...
Physical Science
A container ship is 240m long and 22m wide. Assume that the shape is like a rectangular box. How much mass does...
Fundamentals Of Thermodynamics
42. * Insulating a house You insulate your house using insulation rated as R-12, which will conduct 1/12 Btu/h ...
College Physics
What is the maximum magnetic intensity in a plane electromagnetic wave whose maximum electric intensity is 100 ...
Introduction To Health Physics
The increase in temperature in the case of kelvins, if it is increased by 1000°C .
College Physics: A Strategic Approach (3rd Edition)
You have a summer job at your universitys zoology department, where youll be working with an animal behavior ex...
Essential University Physics: Volume 1 (3rd 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 large insulating sheet has a surface charge density of σ = 52.1 nC/m² on it. What is the magnitude of the electric field a point d = 0.0456 mm from the sheet? Give your answer in units of N/C.arrow_forwardA hollow non-conducting spherical shell has inner radius R1 = 9 cm and outer radius R2 = 15 cm. A charge Q = -25 nC lies at the center of the shell. The shell carries a spherically symmetric charge density ρ = Ar for R1 < r < R2 that increases linearly with radius, where A = 17 μC/m4. What is the radial electric field at the point r = 2R2? Give your answer in units of kN/C.arrow_forwardA hollow non-conducting spherical shell has inner radius R1 = 9 cm and outer radius R2 = 18 cm. A charge Q = -45 nC lies at the center of the shell. The shell carries a spherically symmetric charge density ρ = Ar for R1 < r < R2 that increases linearly with radius, where A = 19 μC/m4. a. What is the radial electric field at the point r = 0.5R1? Give the answer in units of kN/C, and take the positive direction outwards. b. What is the radial electric field at the point r = 0.5(R1+R2)? Give your answer in units of kN/C. c. What is the radial electric field at the point r = 2R2? Give your answer in units of kN/C. a.arrow_forward
- Charge Q is distributed uniformly throughout the volume of an insulating sphere of radius R = 4.00 cm. At a distance of r = 8.00 cm from the center of the sphere, the electric field due to the charge distribution has magnitude E = 940 N/C. What are (a) the volume charge density for the sphere and (b) the electric field at a distance of 2.00 cm from the sphere’s center?arrow_forwardA long, thin straight wire with linear charge density A runs down the center of a thin, hollow metal cylinder of radius R. The . cylinder has a net linear charge density 2A. Assume A is positive. esc 1 BA Q A 1 option Z 2 W S X H command # 3 20 E D $ 4 C ▾ Part A Y 888 FA R F Find expressions for the magnitude of the electric field strength inside the cylinder, r R. Give your answer as a multiple of X/co. Express your answer in terms of some or all of the variables R, r, and the constant as a multiple of ratio of charge density A to vacuum permittivity Co. 195| ΑΣΦΑ 3 2πE Provide Feedback E- Submit X Incorrect; Try Again; 4 attempts remaining % 5 V 20 T Previous Answers Request Answer G 6 MacBook Air B Y H B ? & 7 U N 8 4 DI 9 M I O K DE MOSISO > } ✓ delarrow_forwardA long, nonconducting, solid cylinder of radius R=5.20 cm has a non-uniform volume charge density p that is a function of radial distance r from the cylinder axis: p=Ar. For A=1750 nC/m4, what is the magnitude of the electric field at r=3.00 cm?arrow_forward
- An infinitely long, solid cylindrical insulator has radius R1 = 14 cm and volume charge density p. The electric field at the curved surface of the cylinder is measured to have magnitude E1 = 9.4 x 103 N/C. A solid sphere with radius R1 = 30 cm has the same charge density p. Determine the electric field E2 at the sphere's surface in terms of E1, R1, and R2.arrow_forwardE8P9 Part d, e and f please.arrow_forwardA sphere of radius 5.00 cm carries charge +3 nC. Calculate the electric-field magnitude at a distance 4.00 cm from the center of the sphere and at a distance 6.00 cm from the center of the sphere if the sphere is (a) a solid insulator with the charge spread uniformly throughout its volume and (b) a solid conductor. A. a) E = 8630 N/C (inside) 7500 N/C (outside), b) E =0 N/C (inside), E= 7500 N/C (outside) B. a) E = 7500 N/C, b) E = 0N/C C. a) E = 0N/C, b) E = 5090N/C D. a) E = 4800 N/C, b) E = 4800 N/Carrow_forward
- An insulating spherical shell has uniform charge 5.0 nC, inner radius a radius b 20 cm. It is concentric with a conducting spherical shell with total charge -5.0 nC, inner radius = 10 cm, and outer c = 30 cm, and outer radius d = 40 cm. a C p. Find the magnitude of the electric field at the following three distances from the center: r = 5 cm, 25 cm, and 50 cm.arrow_forwardE8P9arrow_forwardA charge of uniform linear density 2.80 nC/m is distributed along a long, thin, nonconducting rod. The rod is coaxial with a long conducting cylindrical shell (inner radius = 4.60 cm, outer radius = 9.40 cm). The net charge on the shell is zero. (a) What is the magnitude of the electric field at distance r = 14.0 cm from the axis of the shell? What is the surface charge density on the (b) inner and (c) outer surface of the shell?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Electric Fields: Crash Course Physics #26; Author: CrashCourse;https://www.youtube.com/watch?v=mdulzEfQXDE;License: Standard YouTube License, CC-BY