Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 23, Problem 49CP
Review. A slab of insulating material (infinite in the y and z directions) has a thickness d and a uniform positive charge density ρ. An edge view of the slab is shown in Figure P23.45. (a) Show that the magnitude of the electric field a distance x from its center and inside the slab is E = ρx/ϵ0. (b) What If? Suppose an electron of charge −e and mass me can move freely within the slab. It is released from rest at a distance x from the center. Show that the electron exhibits
Figure P23.45
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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
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
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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
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Note: 1 fC = 1 x 1015 C
2. In the figure a nonconducting rod of length L = 8.21 cm has charge -q = -4.33 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 = 50 m by (d) a particle of charge -q = -4.33 fC that replaces the rod?
Chapter 23 Solutions
Physics for Scientists and Engineers with Modern Physics
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...
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