Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
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Textbook Question
Chapter 23, Problem 64P
Equation 23-11 (E = σ/ε0) gives the electric field at points near a charged
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Equation 23-11 (E = s/´0) gives the electric field at points near a charged conducting surface. Apply this equation to a conducting sphere of radius r and charge q, and show that the electric field outside the sphere is the same as the field of a charged particle located at the center of the sphere.
If the electric field on the surface of this non-uniform conductor varies from 2x103 N/C to 5x103 N/C at the surface points of a random surface where the radius of curvature is smallest and largest, how does the surface charge density change?
(a) A conducting sphere has charge Q and radius R. If theelectric field of the sphere at a distance r = 2R from the center of thesphere is 1400 N/C, what is the electric field of the sphere at r = 4R?(b) A very long conducting cylinder of radius R has charge per unitlength l. Let r be the perpendicular distance from the axis of the cylinder.If the electric field of the cylinder at r = 2R is 1400 N/C, whatis the electric field at r = 4R? (c) A very large uniform sheet of chargehas surface charge density s. If the electric field of the sheet has a valueof 1400 N>C at a perpendicular distance d from the sheet, what is theelectric field of the sheet at a distance of 2d from the sheet?
Chapter 23 Solutions
Fundamentals of Physics Extended
Ch. 23 - A surface has the area vector A = 2 i 3 j m2....Ch. 23 - Figure 23-22 shows, in cross section, three solid...Ch. 23 - Figure 23-23 shows, in cross section, a central...Ch. 23 - Figure 23-24 shows, in cross section, two Gaussian...Ch. 23 - In Fig. 23-25, an election is released between two...Ch. 23 - Three infinite nonconducting sheets, with uniform...Ch. 23 - Figure 23-26 shows four situations in which four...Ch. 23 - Figure 23-27 shows four solid spheres, each with...Ch. 23 - A small charged ball lies within the hollow of a...Ch. 23 - Rank the situations of Question 9 according to the...
Ch. 23 - Figure 23-28 shows a section of three long charged...Ch. 23 - Figure 23-29 shows four Gaussian surfaces...Ch. 23 - SSM The square surface shown in Fig. 23-30...Ch. 23 - An electric field given by E = 4.0 i 3.0y2 2.0 j...Ch. 23 - The cube in Fig. 23-31 has edge length 1.40 m and...Ch. 23 - In Fig. 23-32, a butterfly net is in a uniform...Ch. 23 - In Fig. 23-33, a proton is a distance d/2 directly...Ch. 23 - At each point on the surface of the cube shown in...Ch. 23 - A particle of charge 1.8 C is at the center of a...Ch. 23 - When a shower is turned on in a dosed bathroom,...Ch. 23 - ILW Fig. 23-31 shows a Gaussian surface in the...Ch. 23 - Figure 23-34 shows a closed Gaussian surface in...Ch. 23 - GO Figure 23-35 shows a dosed Gaussian surface in...Ch. 23 - Figure 23-36 shows two non-conducting spherical...Ch. 23 - SSM The electric field in a certain region of...Ch. 23 - GO Flux and nonconducting shells. A charged...Ch. 23 - A particle of charge q is placed at one corner of...Ch. 23 - GO The box-like Gaussian surface shown in Fig....Ch. 23 - SSM A uniformly charged conducting sphere of 1.2 m...Ch. 23 - The electric field just above the surface of the...Ch. 23 - Space vehicles traveling through Earths radiation...Ch. 23 - GO Flux and conducting shells. A charged particle...Ch. 23 - An isolated conductor has net charge 10 106 C and...Ch. 23 - An electron is released 9.0 cm from a very long...Ch. 23 - a The drum of a photocopying machine has a length...Ch. 23 - Figure 23-40 shows a section of a long,...Ch. 23 - SSM An infinite line of charge produces a field of...Ch. 23 - Figure 23-41a shows a narrow charged solid...Ch. 23 - GO A long, straight wire has fixed negative charge...Ch. 23 - GO A charge of uniform linear density 2.0 nC/m is...Ch. 23 - SSM WWW Figure 23-42 is a section of a conducting...Ch. 23 - In Fig. 23-43, short sections of two very long...Ch. 23 - ILW Two long, charged, thin-walled, concentric...Ch. 23 - GO A long, nonconducting, solid cylinder of radius...Ch. 23 - In Fig. 23-44, two large, thin metal plates are...Ch. 23 - In Fig. 23-45, a small circular hole of radius R =...Ch. 23 - GO Figure 23-46a shows three plastic sheets that...Ch. 23 - Figure 23-47 shows cross sections through two...Ch. 23 - SSM WWW A square metal plate of edge length 8.0 cm...Ch. 23 - GO In Fig. 23-48a, an electron is shot directly...Ch. 23 - SSM In Fig. 23-49, a small, nonconducting ball of...Ch. 23 - Figure 23-50 shows a very large nonconducting...Ch. 23 - GO An electron is shot directly toward the center...Ch. 23 - Two large metal plates of area 1.0 m2 face each...Ch. 23 - GO Figure 23-51 shows a cross section through a...Ch. 23 - Figure 23-52 gives the magnitude of the electric...Ch. 23 - Two charged concentric spherical shells have radii...Ch. 23 - Assume that a ball of charged particles has a...Ch. 23 - SSM An unknown charge sits on a conducting solid...Ch. 23 - GO A charged particle is held at the center of a...Ch. 23 - In Fig, 23-54, a solid sphere of radius a = 2.00...Ch. 23 - GO Figure 23-55 shows two nonconducting spherical...Ch. 23 - SSM WWW In Fig. 23-56, a nonconducting spherical...Ch. 23 - GO Figure 23-57 shows a spherical shell with...Ch. 23 - ILW The volume charge density of a solid...Ch. 23 - Figure 23-58 shows, in cross section, two solid...Ch. 23 - A charge distribution that is spherically...Ch. 23 - The electric field in a particular space is E = x ...Ch. 23 - A thin-walled metal spherical shell has radius...Ch. 23 - A uniform surface charge of density 8.0 nC/m2 is...Ch. 23 - Charge of uniform volume density = 1.2 nC/m3...Ch. 23 - The chocolate crumb mystery. Explosions ignited by...Ch. 23 - SSM A thin-walled metal spherical shell of radius...Ch. 23 - A particle of charge q = 1.0 107 C is at the...Ch. 23 - A proton at speed v = 3.00 105 m/s orbits at...Ch. 23 - Equation 23-11 E = /0 gives the electric field at...Ch. 23 - Charge Q is uniformly distributed in a sphere of...Ch. 23 - A charged particle causes an electric flux of 750...Ch. 23 - SSM The electric field at point P just outside the...Ch. 23 - The net electric flux through each face of a die...Ch. 23 - Figure 23-59 shows, in cross section, three...Ch. 23 - Charge of uniform volume density = 3.2 C/m3 fills...Ch. 23 - A Gaussian surface in the form of a hemisphere of...Ch. 23 - What net charge is enclosed by the Gaussian cube...Ch. 23 - A nonconducting solid sphere has a uniform volume...Ch. 23 - A uniform charge density of 500 nC/m3 is...Ch. 23 - Figure 23-61 shows a Geiger counter, a device used...Ch. 23 - Charge is distributed uniformly throughout the...Ch. 23 - SSM A spherical conducting shell has a charge of...Ch. 23 - A charge of 6.00 pC is spread uniformly throughout...Ch. 23 - Water in an irrigation ditch of width w = 3.22 m...Ch. 23 - Charge of uniform surface density 8.00 nC/m2 is...Ch. 23 - A spherical ball at charged particles has a...
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