University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780321973610
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 22, Problem 22.55P
CALC A Nonuniformly Charged Slab. Repeat Problem 22.54, but now let the charge density of the slab be given by ρ(x) = ρ0(x/d)2, where ρ0 is a positive constant.
22.54 A Uniformly Charged Slab. A slab of insulating material has thickness 2d and is oriented so that its faces are parallel to the yz-plane and given by the planes x = d and x = −d. The y- and z-dimensions of the slab are very large compared to d; treat (hem as essentially infinite. The slab has a uniform positive charge density ρ. (a) Explain why the electric field due to the slab is zero at the center of the slab (x = 0). (b) Using Gauss’s law, find the electric field due to the slab (magnitude and direction) at all points in space.
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Chapter 22 Solutions
University Physics with Modern Physics (14th Edition)
Ch. 22.1 - If all of the dimensions of the box in Fig. 22.2a...Ch. 22.2 - Rank the following surfaces in order from most...Ch. 22.3 - Figure 22.16 shows six point charges that all lie...Ch. 22.4 - You place a known amount of charge Q on the...Ch. 22.5 - A hollow conducting sphere has no net charge....Ch. 22 - A rubber balloon has a single point charge in its...Ch. 22 - Suppose that in Fig. 22.15 both charges were...Ch. 22 - In Fig. 22.15, suppose a third point charge were...Ch. 22 - A certain region of space bounded by an imaginary...Ch. 22 - A spherical Gaussian surface encloses a point...
Ch. 22 - You find a sealed box on your doorstep. You...Ch. 22 - A solid copper sphere has a net positive charge....Ch. 22 - A spherical Gaussian surface encloses a point...Ch. 22 - In a conductor, one or more electrons from each...Ch. 22 - You charge up the Van de Graaff generator shown in...Ch. 22 - Lightning is a flow of electrons. The lightning...Ch. 22 - A solid conductor has a cavity in its interior....Ch. 22 - Explain this statement: In a static situation, the...Ch. 22 - In a certain region of space, the electric field E...Ch. 22 - (a) In a certain region of space, the volume...Ch. 22 - A negative charge Q is placed inside the cavity of...Ch. 22 - A flat sheet of paper of area 0.250 m2 is oriented...Ch. 22 - A flat sheet is in the shape of a rectangle with...Ch. 22 - You measure an electric field of 1.25 106 N/C at...Ch. 22 - It was shown in Example 21.10 (Section 21.5) that...Ch. 22 - A hemispherical surface with radius r in a region...Ch. 22 - The cube in Fig. E22.6 has sides of length L =...Ch. 22 - BIO As discussed in Section 22.5, human nerve...Ch. 22 - The three small spheres shown in Fig. E22.8 carry...Ch. 22 - A charged paint is spread in a very thin uniform...Ch. 22 - A point charge q1 = 4.00 nC is located on the...Ch. 22 - A 6.20 C point charge is at the center of a cube...Ch. 22 - Electric Fields in an Atom. The nuclei of large...Ch. 22 - Two very long uniform lines of charge are parallel...Ch. 22 - A solid metal sphere with radius 0.450 m carries a...Ch. 22 - How many excess electrons must be added to an...Ch. 22 - Some planetary scientists have suggested that the...Ch. 22 - A very long uniform line of charge has charge per...Ch. 22 - The electric field 0.400 m from a very long...Ch. 22 - A hollow, conducting sphere with an outer radius...Ch. 22 - (a) At a distance of 0.200 cm from the center or a...Ch. 22 - The electric field at a distance of 0.145 m from...Ch. 22 - A point charge of 3.00 C is located in the center...Ch. 22 - CP An electron is released from rest at a distance...Ch. 22 - Charge Q is distributed uniformly throughout the...Ch. 22 - A conductor with an inner cavity, like that shown...Ch. 22 - A very large, horizontal, nonconducting sheet of...Ch. 22 - Apply Gausss law to the Gaussian surfaces S2, S3,...Ch. 22 - A square insulating sheet 80.0 cm on a side is...Ch. 22 - An infinitely long cylindrical conductor has...Ch. 22 - Two very large, nonconducting plastic sheets, each...Ch. 22 - CP At time t = 0 a proton is a distance of 0.360 m...Ch. 22 - CP A very small object with mass 8.20 109 kg and...Ch. 22 - CP A small sphere with mass 4.00 106 kg and...Ch. 22 - A cube has sides of length L = 0.300 m. One corner...Ch. 22 - The electric field E in Fig. P22.35 is everywhere...Ch. 22 - CALC In a region of space there is an electric...Ch. 22 - The electric field E1 at one face of a...Ch. 22 - A long line carrying a uniform linear charge...Ch. 22 - The Coaxial Cable. A long coaxial cable consists...Ch. 22 - A very long conducting tube (hollow cylinder) has...Ch. 22 - A very long, solid cylinder with radius R has...Ch. 22 - A Sphere in a Sphere. A solid conducting sphere...Ch. 22 - A solid conducting sphere with radius R that...Ch. 22 - A conducting spherical shell with inner radius a...Ch. 22 - Concentric Spherical Shells. A small conducting...Ch. 22 - Repeat Problem 22.45, but now let the outer shell...Ch. 22 - Prob. 22.47PCh. 22 - A solid conducting sphere with radius R carries a...Ch. 22 - CALC An insulating hollow sphere has inner radius...Ch. 22 - CP Thomsons Model of the Atom. Early in the 20th...Ch. 22 - Thomsons Model of the Atom, Continued. Using...Ch. 22 - (a) How many excess electrons must be distributed...Ch. 22 - CALC A nonuniform, but spherically symmetric,...Ch. 22 - A Uniformly Charged Slab. A slab of insulating...Ch. 22 - CALC A Nonuniformly Charged Slab. Repeat Problem...Ch. 22 - CALC A nonuniform, but spherically symmetric,...Ch. 22 - (a) An insulating sphere with radius a has a...Ch. 22 - A very long, solid insulating cylinder has radius...Ch. 22 - DATA In one experiment the electric field is...Ch. 22 - DATA The electric field is measured for points at...Ch. 22 - DATA The volume charge density for a spherical...Ch. 22 - CP CALC A region in space contains a total...Ch. 22 - Suppose that to repel electrons in the radiation...Ch. 22 - What is the magnitude of E just outside the...Ch. 22 - SPACE RADIATION SHIELDING. One of the hazards...Ch. 22 - SPACE RADIATION SHIELDING. One of the hazards...
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