University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780321973610
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 22, Problem 22.61P
DATA The volume charge density ρ for a spherical charge distribution of radius R = 6.00 mm is not uniform. Figure P22.61 shows ρ as a function of the distance r from the center of the distribution. Calculate the electric field at these values of r: (i) 1.00 mm; (ii) 3.00 mm; (iii) 5.00 mm; (iv) 7.00 mm.
Figure P22.61
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Charge Q is distributed uniformly throughout the volume of an insulating sphere of radius R = 4.00 cm. At a distance of r = 8.00 cm from the center of the sphere, the electric field due to the charge distribution has magnitude 840 N/C.
The charge density is calulated as: p = 2.2×10−6 Cm3
What is the magnitude of the electric field at a distance of 2.00 cm from the sphere's center?
In the figure a solid sphere of radius a = 3.70 cm is concentric with a spherical conducting shell of inner radius b = 2.00a and outer radius c = 2.40a. The sphere has a net uniform charge q1 = +7.87 fC; the shell has a net charge q2 = –q1. What is the magnitude of the electric field at radial distances (e) r = 2.30a, and (f) r = 3.50a? What is the net charge on the (g) inner and (h) outer surface of the shell?
please put the units
A solid sphere, of radius a = 2.30 cm is concentric with a spherical conducting shell of inner radius b = 2.00a and outer radius c = 2.40a. The sphere has a net charge q1 = +6.00 fC which is distributed uniformly through the sphere; the shell has a net charge of q2 = −q1.
(d) What is the magnitude of the electric field at radial distance r = 1.60a?
(e) What is the magnitude of the electric field at radial distance r = 2.20a?
(f) What is the magnitude of the electric field at radial distance r = 3.30a?
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...
Additional Science Textbook Solutions
Find more solutions based on key concepts
Use the data at the back of this book to determine H for the combustion of a mole of glucose, C6H12O6+6O26CO2+6...
An Introduction to Thermal Physics
42. A bicycle wheel is rotating at 50 rpm when the cyclist begins to
pedal harder, giving the wheel a constant...
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
(II) If two successive harmonics of a vibrating string are 240 Hz and 320 Hz, what is the frequency of the fund...
Physics for Scientists and Engineers with Modern Physics
11. (I) (a) Calculate the total force of the atmosphere acting on the top of a table that measures 1.7 m x 2.6 ...
Physics: Principles with Applications
The pV-diagram of the Carnot cycle.
Sears And Zemansky's University Physics With Modern Physics
A typical lightning flash delivers about 25 C of negative charge from cloud to ground. How many electrons are i...
Essential University Physics (3rd Edition)
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
- A very large, flat slab has uniform volume charge density and thickness 2t. A side view of the cross section is shown in Figure P25.51. a. Find an expression for the magnitude of the electric field inside the slab at a distance x from the center. b. If = 2.00 C/m3 and 2t = 8.00 cm, calculate the magnitude of the electric field at x = 300 FIGURE P25.41 Problems 51 and 52.arrow_forwardTwo uniform spherical charge distributions (Fig. P25.41) each have a total charge of 45.3 mC and radius R = 15.2 cm. Their center-to-center distance is 37.50 cm. Find the magnitude of the electric field at point A midway between the two spheres. FIGURE P25.41 Problems 41 and 42.arrow_forwardA solid insulating sphere of radius a = 5.00 cm carries a net positive charge of Q = 3.00 C uniformly distributed throughout its volume. Concentric with this sphere is a conducting spherical shell with inner radius b = 10.0 cm and outer radius c = 15.0 cm as shown in Figure P24.54, having net charge q = 1.00 C Prepare a graph of the magnitude of the electric field due to this configuration versus r for O r 25.0 cm.arrow_forward
- A sphere of radius R=0.250 m and uniform charge density −151 nC/m3 lies at the center of a spherical, conducting shell of inner and outer radii 3.50R and 4.00R, respectively. If the conducting shell carries a total charge of Q=−64.3 nC, find the magnitude of the electric field at the given radial distances from the center of the charge distribution. 0.460R= ?N/C 3.55R= ?N/C 2.00R= ?N/C 5.50R= ?N/Carrow_forwardIn the figure a solid sphere of radius a = 3.70 cm is concentric with a spherical conducting shell of inner radius b = 2.00a and outer radius c = 2.40a. The sphere has a net uniform charge q1 = +7.87 fC; the shell has a net charge q2 = –q1. What is the magnitude of the electric field at radial distances (a) r = 0 cm, (b) r = a/2.00, (c) r = a, (d) r = 1.50a, (e) r = 2.30a, and (f) r = 3.50a? What is the net charge on the (g) inner and (h) outer surface of the shell?arrow_forwardIn the figure a solid sphere of radius a = 3.00 cm is concentric with a spherical conducting shell of inner radius b = 2.00a and outer radius c = 2.40a. The sphere has a net uniform charge q1 = +5.10 fC; the shell has a net charge q2 = –q1. What is the magnitude of the electric field at radial distances (a) r = 0 cm, (b) r = a/2.00, (c) r = a, (d) r = 1.50a, (e) r = 2.30a, and (f) r = 3.50a? What is the net charge on the (g) inner and (h) outer surface of the shell? I need parts f-harrow_forward
- In the figure a solid sphere of radius a = 3.00 cm is concentric with a spherical conducting shell of inner radius b = 2.00a and outer radius c = 2.40a. The sphere has a net uniform charge q1 = +5.10 fC; the shell has a net charge q2 = –q1. What is the magnitude of the electric field at radial distances (a) r = 0 cm, (b) r = a/2.00, (c) r = a, (d) r = 1.50a, (e) r = 2.30a, and (f) r = 3.50a? What is the net charge on the (g) inner and (h) outer surface of the shell? I need parts b-e.arrow_forwardAn infinitely long, solid cylindrical insulator has radius R1 = 14 cm and volume charge density p. The electric field at the curved surface of the cylinder is measured to have magnitude E1 = 9.4 x 103 N/C. A solid sphere with radius R1 = 30 cm has the same charge density p. Determine the electric field E2 at the sphere's surface in terms of E1, R1, and R2.arrow_forwardIn the figure a solid sphere of radius a = 3.00 cm is concentric with a spherical conducting shell of inner radius b = 2.00a and outer radius c = 2.40a. The sphere has a net uniform charge q1 = +5.10 fC; the shell has a net charge q2 = –q1. What is the magnitude of the electric field at radial distances (b) r = a/2.00, (c) r = a, (d) r = 1.50a? What is the net charge on the (g) inner surface of the shell?arrow_forward
- In the figure below, a solid sphere, of radius a = 1.50 cm is concentric with a spherical conducting shell of inner radius b = 2.00a and outer radius c = 2.40a. The sphere has a net charge q1 = +3.00 fC which is distributed uniformly through the sphere; the shell has a net charge of q2 = −q1. (d) What is the magnitude of the electric field at radial distance r = 1.60a? N/C(e) What is the magnitude of the electric field at radial distance r = 2.10a? N/C(f) What is the magnitude of the electric field at radial distance r = 3.30a? N/C (I assumed that you solved these like the previous 3 but i guess there's an extra step)arrow_forwardA long, nonconducting, solid cylinder of radius 4.0 cm has a nonuniform volume charge density r that is a function of radial distance r from the cylinder axis: r =Ar2. For A = 2.5 mC/m5, what is the magnitude of the electric field at (a) r = 3.0 cm and (b) r = 5.0 cm?arrow_forwardA solid sphere of radius a is concentric with a hollow sphere of radius b, where b > a. If the solid sphere has a uniform charge distribution totaling +Q and the hollow sphere a charge of –Q, the electric field at radius r, where r < a, is which of the following, in terms of k = (4π∈0)–1? Choose the correct answer. kQ/b2 zero kQ/a2 kQr/a3 kQ/r2arrow_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 LearningPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
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