Bundle: Physics for Scientists and Engineers with Modern Physics, Loose-leaf Version, 9th + WebAssign Printed Access Card, Multi-Term
9th Edition
ISBN: 9781305932302
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 23, Problem 46P
(a)
To determine
The electric field at a distance
(b)
To determine
The electric field at a distance
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A 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 c as shown in Figure E23.1. 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.…
A thin disk with a circular hole at its center, called an annulus, has
inner radius R₁ and outer radius R₂ (Fig. P21.87). The disk has a
uniform positive surface charge density o on its surface.
(a) Determine the total electric charge on the annulus.
(b) The annulus lies in the yz-plane, with its center at the origin. For
an arbitrary point on the x-axis (the axis of the annulus), find the
magnitude and direction of the electric field E.
Figure P21.87
IR₁
X
Consider points both above and below the annulus.
(c) Show that at points on the x-axis that are sufficiently close to the origin, the magnitude of the
electric field is approximately proportional to the distance between the center of the annulus and
the point. How close is "sufficiently close"?
(d) A point particle with mass m and negative charge -q is free to move along the x-axis (but
cannot move off the axis). The particle is originally placed at rest at x = 0.01 R₂ and released.
Find the frequency of oscillation of the…
A thin disk with a circular hole at its center, called an annulus, has
inner radius R₁ and outer radius R₂ (Fig. P21.87). The disk has a
uniform positive surface charge density o on its surface.
(a) Determine the total electric charge on the annulus.
(b) The annulus lies in the yz-plane, with its center at the origin. For
an arbitrary point on the x-axis (the axis of the annulus), find the
magnitude and direction of the electric field E.
Figure P21.87
R₂
R₁
0
Consider points both above and below the annulus.
(c) Show that at points on the x-axis that are sufficiently close to the origin, the magnitude of the
electric field is approximately proportional to the distance between the center of the annulus and
the point. How close is "sufficiently close"?
(d) A point particle with mass m and negative charge -q is free to move along the x-axis (but
cannot move off the axis). The particle is originally placed at rest at x = 0.01 R₂ and released.
Find the frequency of oscillation of the…
Chapter 23 Solutions
Bundle: Physics for Scientists and Engineers with Modern Physics, Loose-leaf Version, 9th + WebAssign Printed Access Card, Multi-Term
Ch. 23.1 - Three objects are brought close to each other, two...Ch. 23.2 - Three objects are brought close to one another,...Ch. 23.3 - Object A has a charge of +2 C, and object B has a...Ch. 23.4 - A test charge of +3 C is at a point P where an...Ch. 23.6 - Rank the magnitudes of the electric field at...Ch. 23 - Prob. 1OQCh. 23 - Prob. 2OQCh. 23 - Prob. 3OQCh. 23 - Prob. 4OQCh. 23 - Prob. 5OQ
Ch. 23 - Prob. 6OQCh. 23 - Prob. 7OQCh. 23 - Prob. 8OQCh. 23 - Prob. 9OQCh. 23 - Prob. 10OQCh. 23 - Prob. 11OQCh. 23 - Prob. 12OQCh. 23 - Prob. 13OQCh. 23 - Prob. 14OQCh. 23 - Prob. 15OQCh. 23 - Prob. 1CQCh. 23 - A charged comb often attracts small bits of dry...Ch. 23 - Prob. 3CQCh. 23 - Prob. 4CQCh. 23 - Prob. 5CQCh. 23 - Prob. 6CQCh. 23 - Prob. 7CQCh. 23 - Prob. 8CQCh. 23 - Prob. 9CQCh. 23 - Prob. 10CQCh. 23 - Prob. 11CQCh. 23 - Find to three significant digits the charge and...Ch. 23 - Prob. 2PCh. 23 - Prob. 3PCh. 23 - Prob. 4PCh. 23 - In a thundercloud, there may be electric charges...Ch. 23 - (a) Find the magnitude of the electric force...Ch. 23 - Prob. 7PCh. 23 - Nobel laureate Richard Feynman (19181088) once...Ch. 23 - A 7.50-nC point charge is located 1.80 m from a...Ch. 23 - Prob. 10PCh. 23 - Prob. 11PCh. 23 - Prob. 12PCh. 23 - Prob. 13PCh. 23 - Prob. 14PCh. 23 - Prob. 15PCh. 23 - Prob. 16PCh. 23 - Review. In the Bohr theory of the hydrogen atom,...Ch. 23 - Prob. 18PCh. 23 - Prob. 19PCh. 23 - Prob. 20PCh. 23 - Prob. 21PCh. 23 - Why is the following situation impossible? Two...Ch. 23 - Prob. 23PCh. 23 - Prob. 24PCh. 23 - Prob. 25PCh. 23 - Prob. 26PCh. 23 - Prob. 27PCh. 23 - Prob. 28PCh. 23 - Prob. 29PCh. 23 - Prob. 30PCh. 23 - Prob. 31PCh. 23 - Two charged particles are located on the x axis....Ch. 23 - Prob. 33PCh. 23 - Two 2.00-C point charges are located on the x...Ch. 23 - Prob. 35PCh. 23 - Consider the electric dipole shown in Figure...Ch. 23 - A rod 14.0 cm long is uniformly charged and has a...Ch. 23 - Prob. 38PCh. 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 - Prob. 41PCh. 23 - Prob. 42PCh. 23 - A continuous line of charge lies along the x axis,...Ch. 23 - Prob. 44PCh. 23 - Prob. 45PCh. 23 - Prob. 46PCh. 23 - A negatively charged rod of finite length carries...Ch. 23 - Prob. 48PCh. 23 - Prob. 49PCh. 23 - Prob. 50PCh. 23 - A proton accelerates from rest in a uniform...Ch. 23 - Prob. 52PCh. 23 - Prob. 53PCh. 23 - Protons are projected with an initial speed vi =...Ch. 23 - Prob. 55PCh. 23 - Prob. 56PCh. 23 - A proton moves at 4.50 105 m/s in the horizontal...Ch. 23 - Prob. 58APCh. 23 - Consider an infinite number of identical...Ch. 23 - A particle with charge 3.00 nC is at the origin,...Ch. 23 - Prob. 61APCh. 23 - Prob. 62APCh. 23 - Prob. 63APCh. 23 - Prob. 64APCh. 23 - Prob. 65APCh. 23 - Prob. 66APCh. 23 - Prob. 67APCh. 23 - Prob. 68APCh. 23 - Prob. 69APCh. 23 - Two point charges qA = 12.0 C and qB = 45.0 C and...Ch. 23 - Prob. 71APCh. 23 - Prob. 72APCh. 23 - Two small spheres hang in equilibrium at the...Ch. 23 - Prob. 74APCh. 23 - Prob. 75APCh. 23 - Prob. 76APCh. 23 - Prob. 77APCh. 23 - Prob. 78APCh. 23 - Prob. 79APCh. 23 - Prob. 80APCh. 23 - Prob. 81APCh. 23 - Prob. 82APCh. 23 - Prob. 83APCh. 23 - Identical thin rods of length 2a carry equal...Ch. 23 - Prob. 85CPCh. 23 - Prob. 86CPCh. 23 - Prob. 87CPCh. 23 - Prob. 88CPCh. 23 - Prob. 89CPCh. 23 - Prob. 90CPCh. 23 - Two particles, each with charge 52.0 nC, are...
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- Assume the magnitude of the electric field on each face of the cube of edge L = 1.00 m in Figure P23.32 is uniform and the directions of the fields on each face are as indicated. Find (a) the net electric flux through the cube and (b) the net charge inside the cube. (c) Could the net charge he a single point charge? Figure P23.32arrow_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 c as shown in Figure P19.75. 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?arrow_forwardEight small conducting spheres with identical charge q = 2.00 C are placed at the corners of a cube of side d = 0.500 m (Fig. P23.75). What is the total force on the sphere at the origin (sphere A) due to the other seven spheres? Figure P23.75arrow_forward
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