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 22.40P
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Positive charge is distributed in a sphere of radius R that is centered at the origin. Inside the sphere, the electric
field is Ē(r) = kr-1/4 f, where k is a positive constant. There is no charge outside the sphere.
a) How is the charge distributed inside the sphere? In particular, find an equation for the charge density, p.
b) Determine the electric field, E(r), for r > R (outside the sphere).
c) What is the potential difference between the center of the sphere (r = 0) and the surface of the sphere
(r = R)?
d) What is the energy stored in this electric charge configuration?
The charge density of a non-uniformly charged sphere of radius 1.0 m is given as:
For rs 1.0 m; p(r)= Po(1-4r/3)
For r> 1.0 m; p(r)= 0,
where r is in meters.
What is the value of r in meters for which the electric field is maximum?
The volumetric charge density of a cylinder of radius R is proportional to the distance to the center of the cylinder, that is, ρ = Ar when r≤R, with A being a constant.
(a) Sketch the charge density for the region - 3R < r < 3R. What is the dimension of A?b) Calculate the electric field for a point outside the cylinder, r > Rc) Calculate the electric field for a point inside the cylinder, r<R.d) Sketch Exr
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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