Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 25, Problem 29PQ
Figure P25.29 shows a wry long tube of inner radius a and outer radius b that has uniform volume charge density ρ. Find an expression for the electric field between the walls of the tube—that is, for a < r < b.
Figure P25.29
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
A cross section of long cylindrical structure with hollow core is shown in
Fig. Q3. A radial section of (b – a) mm thickness is filled with volume charge
density p, C/m³. Find the expression of the electric field intensity within
regions r < a and a < r < b. Then, determine the electric field intensity at
G,z). Note that z is an arbitrary point on the z-axis.
а
y
P, C/m?
a
Fig. Q3
An infinite slab of charge of thickness 2z, lies in the xy-plane between z
= -Zo and z = +zo. The charge density po(C/m³) is a constant.
a. Use Gauss's law to find an expression for the electric field strength
inside the slab(-zo< zS +zo).
b. Find an expression for the electric field strength above the slab
(zs +zo).
In Figure 1, a non-conducting rod of length L = 10.0 cm has a charge –q = -3.0 fCuniformly distributed along its length.a) What is the linear charge density of the rod?b) What are the magnitude and direction of the electric field produced at point P, atdistance of a = 6.00 cm from the rod?c) What is the electric field magnitude produced at distance a=50m by the rod?
Chapter 25 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 25.1 - a. List all the uppercase letters that have the...Ch. 25.2 - The terms electric force, electric field, and...Ch. 25.2 - Prob. 25.3CECh. 25.3 - Which of the following expressions are correct...Ch. 25.3 - Find the electric flux through the three Gaussian...Ch. 25.4 - Prob. 25.6CECh. 25.7 - Is it possible for the charged solid sphere in...Ch. 25 - Which word or name has the same symmetry as the...Ch. 25 - Prob. 2PQCh. 25 - Prob. 3PQ
Ch. 25 - Prob. 4PQCh. 25 - Prob. 5PQCh. 25 - Prob. 6PQCh. 25 - A positively charged sphere and a negatively...Ch. 25 - A circular hoop of radius 0.50 m is immersed in a...Ch. 25 - Prob. 9PQCh. 25 - If the hemisphere (surface C) in Figure 25.10...Ch. 25 - A Ping-Pong paddle with surface area 3.80 102 m2...Ch. 25 - Prob. 12PQCh. 25 - A pyramid has a square base with an area of 4.00...Ch. 25 - Prob. 14PQCh. 25 - Prob. 15PQCh. 25 - A circular loop with radius r is rotating with...Ch. 25 - A circular loop with radius r is rotating with...Ch. 25 - Prob. 18PQCh. 25 - What is the net electric flux through each of the...Ch. 25 - Prob. 20PQCh. 25 - The colored regions in Figure P25.21 represent...Ch. 25 - Prob. 22PQCh. 25 - Prob. 23PQCh. 25 - Three particles and three Gaussian surfaces are...Ch. 25 - A Using Gausss law, find the electric flux through...Ch. 25 - Three point charges q1 = 2.0 nC, q2 = 4.0 nC, and...Ch. 25 - Prob. 27PQCh. 25 - A very long, thin wire fixed along the x axis has...Ch. 25 - Figure P25.29 shows a wry long tube of inner...Ch. 25 - Two very long, thin, charged rods lie in the same...Ch. 25 - Prob. 31PQCh. 25 - Two long, thin rods each have linear charge...Ch. 25 - Figure P25.33 shows a very long, thick rod with...Ch. 25 - A very long line of charge with a linear charge...Ch. 25 - Two infinitely long, parallel lines of charge with...Ch. 25 - An infinitely long wire with uniform linear charge...Ch. 25 - Prob. 37PQCh. 25 - Prob. 38PQCh. 25 - Prob. 39PQCh. 25 - Prob. 40PQCh. 25 - Two uniform spherical charge distributions (Fig....Ch. 25 - FIGURE P25.41 Problems 41 and 42. Two uniform...Ch. 25 - The nonuniform charge density of a solid...Ch. 25 - Prob. 44PQCh. 25 - What is the magnitude of the electric field just...Ch. 25 - Prob. 46PQCh. 25 - The infinite sheets in Figure P25.47 are both...Ch. 25 - Prob. 48PQCh. 25 - Prob. 49PQCh. 25 - Prob. 50PQCh. 25 - A very large, flat slab has uniform volume charge...Ch. 25 - FIGURE P25.41 Problems 51 and 52. Find the surface...Ch. 25 - Prob. 53PQCh. 25 - Prob. 54PQCh. 25 - If the magnitude of the surface charge density of...Ch. 25 - A spherical conducting shell with a radius of...Ch. 25 - A charged rod is placed in the center along the...Ch. 25 - A charged rod is placed in the center along the...Ch. 25 - A thick spherical conducting shell with an inner...Ch. 25 - A thick spherical conducting shell with an inner...Ch. 25 - A rectangular plate with sides 0.60 m and 0.40 m...Ch. 25 - Prob. 62PQCh. 25 - Prob. 63PQCh. 25 - A uniform spherical charge distribution has a...Ch. 25 - A rectangular surface extends from x = 0 to x =...Ch. 25 - A uniform electric field E = 1.57 104 N/C passes...Ch. 25 - A solid plastic sphere of radius R1 = 8.00 cm is...Ch. 25 - Examine the summary on page 780. Why are...Ch. 25 - Prob. 69PQCh. 25 - Prob. 70PQCh. 25 - Prob. 71PQCh. 25 - A coaxial cable is formed by a long, straight wire...Ch. 25 - Prob. 73PQCh. 25 - Prob. 74PQCh. 25 - A solid sphere of radius R has a spherically...Ch. 25 - A solid sphere of radius R has a spherically...Ch. 25 - A very large, horizontal conducting square plate...Ch. 25 - Prob. 78PQCh. 25 - A particle with charge q = 7.20 C is surrounded by...Ch. 25 - A sphere with radius R has a charge density given...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- Let pv (1x+3y³+3z2)C/m³ in cubical region; 1 < x, y, z <7 mm and pv = 0 outside the cube. a. What is the total charge contained within the cube? b. What is the Electric field intensity within the volume? Type in Canvas the distance of the limits.arrow_forwardA sphere of radius 2a is made of a nonconducting material that has a uniform volume charge density p. Assume that the material does not affect the electric field. A spherical cavity of radius a is now removed from the sphere as shown in the figure below. Show that the electric field within the cavity is uniform and is given by E0 and Ey - pa/3.arrow_forwardA very long hollow cylindrical pipe with an inner radius of a and an outer radius of b is lined up with the z-axis. This pipe is made of a material that carries a volumetric charge density of p, = k/p in the region a sps b, where k is a positive constant. Assume that the permittivity of the pipe's material is e. a. Determine an expression for the electric field everywhere in the region p < a. b. Determine an expression for the electric field in the region a < p < b. c. Use the result in part (b) to show that the potential difference between a point at p = b and a point at p = a is AV = - [(a – b) – a In (E).arrow_forward
- A line of charge with linear charge density, A, lies on the z axis over the range -L/2 L/2. b. Obtain E(0, 0, z) for z > L/2 to zeroth order in L/z. d. Evaluate the correction to the result in part c to the next power in L/z that yields a non-zero contribution.arrow_forwardA long, thin straight wire with a linear charge density λwire = +3.17 nC/m runs down the center of a thin, hollow metal cylindrical shell of radius 1.55 cm. The cylindrical shell has a linear charge density λshell = +6.97 nC/m.(Figure 1) What is the electric field strength at a radius of 1.04 cmcm inside the cylindrical shell? What is the electric field strength at a radius of 2.29 cmcm outside the cylindrical shell?arrow_forward1 ! 7 A skát с A spherically symmetric charge distribution produces the electric field E=( 5400 r²) N/C, where r is in m. Z mylabmastering.pearson.com/?courseld=12649908&key=55673220682936520262024#/ 2 pos W S X 3 20 F3 E D $ 4 C 888 R F What is the electric field strength at r= 16.0 cm ? Express your answer in newtons per coulomb. VG ΑΣΦ 4 Submit Part B Submit Part C What is the electric flux through a 32.0-cm-diameter spherical surface that is concentric with the charge distribution? Express your answer in newton meters squared per coulomb. ΕΠΙ ΑΣΦ % [VG| ΑΣΦ 5 Request Answer V FO Request Answer T How much charge is inside this 32.0-cm-diameter spherical surface? Express your answer in coulombs. G 4 a ^ 6 C 244 MacBook Air Y B SMC & ? 7 H ? N/C 80 F7 N-m²/C U C N H 8 - DII FS 1 ( 9 M DD K chegg.com X C ☆ O O MOSISO O 4 Parrow_forward
- A continuous line charge distribution with uniform line charge density of +5nC/m is stretched infinitely across the horizontal axis. What is the electric field at point (0,10)?arrow_forwardThe electric flux through a square-shaped area of side 3.5 cm near a large charged sheet is found to be 1.3 x 10-5 Nm²/C when the area is parallel to the plate. What is the charge density on the sheet? Hint The charge density on the sheet is o = Question Help: Message instructor Submit Question PC/m².arrow_forwardA very long wire carrying charge density λ is surrounded by a very long hollow cylindrical layer with an inner radius a outer radius b on the same axis as the wire. The volume charge density in the cylinder layer is p. a) Obtain qic in terms of charge density and r distance, which you will use in the equation you will create with Gauss's law to find an electric field at a point perpendicular to the wire and at a distance r, inside the cylinder layer. b) Find the size of the electric field generated at the point mentioned in part a, where λ = 3x10 ^ -9 C / m p = 9x10 ^ -9 C / m ^ 3 a = 0.3 m b = 0.7 m r = 0.5 m.arrow_forward
- 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?arrow_forwardSolvearrow_forwardPlz helparrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Electric Fields: Crash Course Physics #26; Author: CrashCourse;https://www.youtube.com/watch?v=mdulzEfQXDE;License: Standard YouTube License, CC-BY