Physics for Scientists and Engineers With Modern Physics
9th Edition
ISBN: 9781133953982
Author: SERWAY, Raymond A./
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 24, Problem 64CP
To determine
The proof that the electric field with in the cavity is uniform and is given by
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A 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.
A sphere of radius R has a uniform volume density p. A
spherical cavity of radius b whose center lies at r = a is
removed from the sphere.
a. Find the electric field at any point inside the spherical
cavity.
b. Find the electric field outside the cavity.
Fig.
P
8
0
F
a
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.
Chapter 24 Solutions
Physics for Scientists and Engineers With Modern Physics
Ch. 24.1 - Suppose a point charge is located at the center of...Ch. 24.2 - If the net flux through a gaussian surface is...Ch. 24 - Prob. 1OQCh. 24 - Prob. 2OQCh. 24 - Prob. 3OQCh. 24 - Prob. 4OQCh. 24 - Prob. 5OQCh. 24 - Prob. 6OQCh. 24 - Prob. 7OQCh. 24 - Prob. 8OQ
Ch. 24 - Prob. 9OQCh. 24 - Prob. 10OQCh. 24 - Prob. 11OQCh. 24 - Prob. 1CQCh. 24 - Prob. 2CQCh. 24 - Prob. 3CQCh. 24 - Prob. 4CQCh. 24 - Prob. 5CQCh. 24 - Prob. 6CQCh. 24 - Prob. 7CQCh. 24 - Prob. 8CQCh. 24 - Prob. 9CQCh. 24 - Prob. 10CQCh. 24 - Prob. 11CQCh. 24 - A flat surface of area 3.20 m2 is rotated in a...Ch. 24 - A vertical electric field of magnitude 2.00 104...Ch. 24 - Prob. 3PCh. 24 - Prob. 4PCh. 24 - Prob. 5PCh. 24 - A nonuniform electric field is given by the...Ch. 24 - An uncharged, nonconducting, hollow sphere of...Ch. 24 - Prob. 8PCh. 24 - Prob. 9PCh. 24 - Prob. 10PCh. 24 - Prob. 11PCh. 24 - A charge of 170 C is at the center of a cube of...Ch. 24 - Prob. 13PCh. 24 - A particle with charge of 12.0 C is placed at the...Ch. 24 - Prob. 15PCh. 24 - Prob. 16PCh. 24 - Prob. 17PCh. 24 - Find the net electric flux through (a) the closed...Ch. 24 - Prob. 19PCh. 24 - Prob. 20PCh. 24 - Prob. 21PCh. 24 - Prob. 22PCh. 24 - Prob. 23PCh. 24 - Prob. 24PCh. 24 - Prob. 25PCh. 24 - Determine the magnitude of the electric field at...Ch. 24 - A large, flat, horizontal sheet of charge has a...Ch. 24 - Prob. 28PCh. 24 - Prob. 29PCh. 24 - A nonconducting wall carries charge with a uniform...Ch. 24 - A uniformly charged, straight filament 7.00 m in...Ch. 24 - Prob. 32PCh. 24 - Consider a long, cylindrical charge distribution...Ch. 24 - A cylindrical shell of radius 7.00 cm and length...Ch. 24 - A solid sphere of radius 40.0 cm has a total...Ch. 24 - Prob. 36PCh. 24 - Prob. 37PCh. 24 - Why is the following situation impossible? A solid...Ch. 24 - A solid metallic sphere of radius a carries total...Ch. 24 - Prob. 40PCh. 24 - A very large, thin, flat plate of aluminum of area...Ch. 24 - Prob. 42PCh. 24 - Prob. 43PCh. 24 - Prob. 44PCh. 24 - A long, straight wire is surrounded by a hollow...Ch. 24 - Prob. 46PCh. 24 - Prob. 47PCh. 24 - Prob. 48APCh. 24 - Prob. 49APCh. 24 - Prob. 50APCh. 24 - Prob. 51APCh. 24 - Prob. 52APCh. 24 - Prob. 53APCh. 24 - Prob. 54APCh. 24 - Prob. 55APCh. 24 - Prob. 56APCh. 24 - Prob. 57APCh. 24 - An insulating solid sphere of radius a has a...Ch. 24 - Prob. 59APCh. 24 - Prob. 60APCh. 24 - Prob. 61CPCh. 24 - Prob. 62CPCh. 24 - Prob. 63CPCh. 24 - Prob. 64CPCh. 24 - Prob. 65CPCh. 24 - A solid insulating sphere of radius R has a...Ch. 24 - Prob. 67CPCh. 24 - Prob. 68CPCh. 24 - Prob. 69CP
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 very large, flat slab has uniform volume charge density and thickness 2t. A side view of the cross section is shown in Figure P25.51. a. Find an expression for the magnitude of the electric field inside the slab at a distance x from the center. b. If = 2.00 C/m3 and 2t = 8.00 cm, calculate the magnitude of the electric field at x = 300 FIGURE P25.41 Problems 51 and 52.arrow_forwardFIGURE P25.41 Problems 41 and 42. Two uniform spherical charge distributions (Fig. P25.41) each have a total charge of 45.3 mC and radius R = 15.2 cm. Their center-to-center distance is 37.50 cm. Find the magnitude of the electric field at point B, 7.50 cm from the center of one sphere and 30.0 cm from the center of the other sphere.arrow_forwardA solid, insulating sphere of radius a has a uniform charge density throughout its volume and a total charge Q. Concentric with this sphere is an uncharged, conducting, hollow sphere whose inner and outer radii are b and e as shown in Figure P24.45. We wish to understand completely the charges and electric fields at all locations. (a) Find the charge contained within a sphere of radius r a. (b) From this value, find the magnitude of the electric field for r a. (c) What charge is contained within a sphere of radius r when a r b? (d) From this value, find the magnitude of the electric field for r when a r b. (e) Now consider r when b r c. What is the magnitude of the electric field for this range of values of r? (f) From this value, what must be the charge on the inner surface of the hollow sphere? (g) From part (f), what must be the charge on the outer surface of the hollow sphere? (h) Consider the three spherical surfaces of radii a, b, and c. Which of these surfaces has the largest magnitude of surface charge density? Figure P24.45 Problems 43 and 47.arrow_forward
- Two positively charged spheres are shown in Figure P24.70. Sphere 1 has twice as much charge as sphere 2. If q = 6.55 nC, d = 0.250 m, and y = 1.25 m, what is the electric field at point A?arrow_forwardFIGURE P25.41 Problems 51 and 52. Find the surface charge density of a sheet of charge that would produce the same electric field as that of a very large flat slab of uniform charge density = 2.00 C/m3 and thickness 2t = 5.00 cm (Fig. P25.51).arrow_forwardA particle with charge q = 7.20 C is surrounded by a spherical shell of radius R = 1.50 m. What is the electric flux through the spherical cap with half angle = 30.0 (Fig. P25.79)? FIGURE P25.79arrow_forward
- A 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_forwardIn the figure a nonconducting rod of length L = 8.38 cm has charge -q = -4.53 fC uniformly distributed along its length. (a) What is the linear charge density of the rod? What are the (b) magnitude and (c) direction (positive angle relative to the positive direction of the x axis) of the electric field produced at point P, at distance a = 13.3 cm from the rod? What is the electric field magnitude produced at distance a = 68 m by (d) the rod and (e) a particle of charge -q = -4.53 fC that replaces the rod?arrow_forwardIn the figure a nonconducting rod of length L = 8.28 cm has charge -q = - 4.41 fC uniformly distributed along its length. (a) What is the linear charge density of the rod? What are the (b) magnitude and (c) direction (positive angle relative to the positive direction of the x axis) of the electric field produced at point P, at distance a = 13.8 cm from the rod? What is the electric field magnitude produced at distance a = 83 m by (d) the rod and (e) a particle of charge -q = - 4.41 fC that replaces the rod? -4 P L aarrow_forward
- In the figure a nonconducting rod of length L = 8.17 cm has charge -q = -4.56 fC uniformly distributed along its length. (a) What is the linear charge density of the rod? What are the (b) magnitude and (c) direction (positive angle relative to the positive direction of the x axis) of the electric field produced at point P, at distance a = 14.2 cm from the rod? What is the electric field magnitude produced at distance a = 83 m by (d) the rod and (e) a particle of charge -q = -4.56 fC that replaces the rod? Xarrow_forwardIn the figure a nonconducting rod of length L = 8.19 cm has charge -q = -4.35 fC uniformly distributed along its length. (a) What is the linear charge density of the rod? What are the (b) magnitude and (c) direction (positive angle relative to the positive direction of the x axis) of the electric field produced at point P, at distance a = 13.6 cm from the rod? What is the electric field magnitude produced at distance a = 78 m by (d) the rod and (e) a particle of charge -q = -4.35 fC that replaces the rod? (a) Number i (b) Number i (c) Number i (d) Number i (e) Number i -9 L ! P x Units (O Units Units N/O ° (degr O Units N/O Units N/arrow_forwardIn the figure a nonconducting rod of length L = 8.19 cm has charge -q = - 4.53 fC uniformly distributed along its length. (a) What is the linear charge density of the rod? What are the (b) magnitude and (c) direction (positive angle relative to the positive direction of the x axis) of the electric field produced at point P, at distance a = 13.3 cm from the rod? What is the electric field magnitude produced at distance a = 56 m by (d) the rod and (e) a particle of charge -q = - 4.53 fC that replaces the rod? P (a) Number i Units (b) Number i Units (c) Number i Units (d) Number i Units (e) Number i Unitsarrow_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 LearningPhysics 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 Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher: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
Electric Fields: Crash Course Physics #26; Author: CrashCourse;https://www.youtube.com/watch?v=mdulzEfQXDE;License: Standard YouTube License, CC-BY