MASTERPHYS:KNIGHT'S PHYSICS ACCESS+WKB
4th Edition
ISBN: 9780135245033
Author: Knight
Publisher: PEARSON
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Textbook Question
Chapter 24, Problem 35EAP
A neutral conductor contains a hollow cavity in which there is a +100 nC point charge. A charged rod then transfers —50 nC to the conductor. Afterward, what is the charge (a) on the inner wall of the cavity, and (b) on the exterior surface of the conductor?
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A neutral conductor contains a hollow cavity in which there
is a +100 nC point charge. A charged rod then transfers -50
nC to the conductor. Afterward, what is the charge on (a)
the inner wall of the cavity and (b) on the exterior surface of
the conductor?
An infinitely long cylindrical conducting shell of outer radius r1 = 0.10 m and inner radius r2 = 0.08 m initially carries a surface charge density σ = -0.15 μC/m2. A thin wire, with linear charge density λ = 1.1 μC/m, is inserted along the shells' axis. The shell and the wire do not touch and there is no charge exchanged between them.
A) What is the new surface charge density, in microcoulombs per square meter, on the inner surface of the cylindrical shell?
B) What is the new surface charge density, in microcoulombs per square meter, on the outer surface of the cylindrical shell?
C) Enter an expression for the magnitude of the electric field outside the cylinder (r > 0.1 m), in terms of λ, σ, r1, r, and ε0.
An isolated conductor of arbitrary shape has a net charge of +1.20×10-5 C. Inside the conductor is a cavity within which is a point charge q = +3.60×10-6 C. a)What is the charge on the cavity wall?
b)What is the charge on the outer surface of the conductor?
Chapter 24 Solutions
MASTERPHYS:KNIGHT'S PHYSICS ACCESS+WKB
Ch. 24 - Suppose you have the uniformly charged cube in...Ch. 24 - FIGURE Q24.2 shows cross sections of...Ch. 24 - The square and circle in FIGURE Q24.3 are in the...Ch. 24 - Prob. 4CQCh. 24 - Prob. 5CQCh. 24 - What is the electric flux through each of the...Ch. 24 - Prob. 7CQCh. 24 - The two spheres in FIGURE Q24.8 on the next page...Ch. 24 - The sphere and ellipsoid in FIGURE Q24.9 surround...Ch. 24 - A small, metal sphere hangs by an insulating...
Ch. 24 - l. FIGURE EX24.1 shows two cross sections of two...Ch. 24 - FIGURE EX24.2 shows a cross section of two...Ch. 24 - FIGURE EX24.3 shows a cross section of two...Ch. 24 - The electric field is constant over each face of...Ch. 24 - The electric field is constant over each face of...Ch. 24 - The cube in FIGURE EX24.6 contains negative...Ch. 24 - The cube in FIGURE EX24.7 contains negative...Ch. 24 - The cube in FIGURE EX24.8 contains no net charge....Ch. 24 - What is the electric flux through the surface...Ch. 24 - What is the electric flux through the surface...Ch. 24 - II The electric flux through the surface shown in...Ch. 24 - ]12. A 2.0cm3.0cm rectangle lies in the xy-plane....Ch. 24 - A 2.0cm3.0cm rectangle lies in the xz-plane. What...Ch. 24 - Prob. 14EAPCh. 24 - 15. A box with its edges aligned with
the...Ch. 24 - What is the net electric flux through the two...Ch. 24 - FIGURE EX24.17 shows three charges. Draw these...Ch. 24 - Prob. 18EAPCh. 24 - FIGURE EX24.19 shows three Gaussian surfaces and...Ch. 24 - What is the net electric flux through the torus...Ch. 24 - What is the net electric flux through the cylinder...Ch. 24 - Prob. 22EAPCh. 24 - Prob. 23EAPCh. 24 - A spark occurs at the tip of a metal needle if the...Ch. 24 - The electric field strength just above one face of...Ch. 24 - The conducting box in FIGURE EX24.26 has been...Ch. 24 - FIGURE EX24.27 shows a hollow cavity within a...Ch. 24 - A thin, horizontal, 10-cm-diameter copper plate is...Ch. 24 - Prob. 29EAPCh. 24 - Prob. 30EAPCh. 24 - II A tetrahedron has an equilateral triangle base...Ch. 24 - Charges q1= —4Q and q2= +2Q are located at x = —a...Ch. 24 - Prob. 33EAPCh. 24 - A spherically symmetric charge distribution...Ch. 24 - A neutral conductor contains a hollow cavity in...Ch. 24 - Prob. 36EAPCh. 24 - 37. A 20-cm-radius ball is uniformly charged to 80...Ch. 24 - Prob. 38EAPCh. 24 - Prob. 39EAPCh. 24 - Prob. 40EAPCh. 24 - A hollow metal sphere has 6 cm and 10 cm inner and...Ch. 24 - Prob. 42EAPCh. 24 - Find the electric field inside and outside a...Ch. 24 - Prob. 44EAPCh. 24 - Prob. 45EAPCh. 24 - Prob. 46EAPCh. 24 - FIGURE P24.47 shows an infinitely wide conductor...Ch. 24 - FIGURE P24.48 shows two very large slabs of metal...Ch. 24 - Prob. 49EAPCh. 24 - A very long, uniformly charged cylinder has radius...Ch. 24 - Prob. 51EAPCh. 24 - Prob. 52EAPCh. 24 - II A long cylinder with radius b and volume charge...Ch. 24 - A spherical shell has inner radius Rin, and outer...Ch. 24 - Prob. 55EAPCh. 24 - Newton's law of gravity and Coulomb's law are both...Ch. 24 - Prob. 57EAPCh. 24 - An infinite cylinder of radius R has a linear...Ch. 24 - Prob. 59EAPCh. 24 - A sphere of radius R has total charge Q. The...Ch. 24 - II A spherical ball of charge has radius R and...
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- A charge of uniform linear density 1.90 nC/m is distributed along a long, thin, nonconducting rod. The rod is coaxial with a long conducting cylindrical shell with an inner radius of 6.34 cm and an outer radius of 10.4 cm. If the net charge on the shell is zero, what is the surface charge density on the outer surface of the shell?arrow_forwardA positive charge is brought close to a fixed neutral conductor that has a cavity. The cavity is neutral; that is, there is no net charge inside the cavity. Which of the figures best represents the charge distribution on the inner and outer walls of the conductor?arrow_forwardA hollow conducting sphere has an internal radius of r1 = 1.2 cm and an outside radius of r2 = 3.4 cm. The sphere has a net charge of Q = 2.8 nC. a) What is the magnitude of the electric field in the cavity at the center of the sphere, in newtons per coulomb? b) What is the magnitude of the field, in newtons per coulomb, inside the conductor, when r1 < r < r2? c) What is the magnitude of the field, in newtons per coulomb, at a distance r = 7.9 m away from the center of the sphere?arrow_forward
- A thin, horizontal, 19-cm -diameter copper plate is charged to -3.8 nC . Assume that the electrons are uniformly distributed on the surface.What is the strength of the electric field 0.1 mm below the center of the bottom surface of the plate?arrow_forwardA conductor contains a hollow cavity in which there is a +100 nC point charge. A charged rod transfers -50 nC to the conductor. Afterwards, what is the charge a. On the inner wall of the cavity wall, b. On the exterior surface of the conductor?arrow_forwardA point charge of 40 nC is placed at the center of a hollow spherical conductor (inner radius = 1.0 cm, outer radius = 5 cm) which has a net charge of -70nC. Determine the resulting charge density on the outer surface of the conducting sphere.arrow_forward
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- A conducting sphere is placed within a conducting spherical shell. The conductors are in electrostatic equilibrium. The inner sphere has a radius of 1.50 cm, the inner radius of the spherical shell is 2.25 cm, and the outer radius of the shell is 2.75 cm. The inner sphere has a charge of 228 nC and the spherical shell has zero net charge. What is the electric field at a point 3.80 cm from the center? Enter a positive answer if the electric field is directed away from the center and a negative answer if the electric field is directed toward the center.arrow_forwardA point charge of 80 nC is placed at the center of a hollow spherical conductor (inner radius = 1.0 cm, outer radius = 5 cm) which has a net charge of -50 nC. Determine the resulting charge density on the outer surface of the conducting sphere.arrow_forwardAn infinitely long cylindrical conducting shell of outer radius r1 = 0.10 m and inner radius r2 = 0.08 m initially carries a surface charge density σ = -0.45 μC/m2. A thin wire, with linear charge density λ = 1.1 μC/m, is inserted along the shells' axis. The shell and the wire do not touch and there is no charge exchanged between them. Part (A) What is the new surface charge density, in microcoulombs per square meter, on the inner surface of the cylindrical shell? Part (B) What is the new surface charge density, in microcoulombs per square meter, on the outer surface of the cylindrical shell? Part (C) Enter an expression for the magnitude of the electric field outside the cylinder (r > 0.1 m), in terms of λ, σ, r1, r, and ε0.arrow_forward
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