University Physics Volume 2
18th Edition
ISBN: 9781938168161
Author: OpenStax
Publisher: OpenStax
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 6, Problem 83AP
The infinite slab between the planes defined by
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
a) Find the surface charge density σ2 of the cylindrical shell of radius R2. (Note the unit in the input box and the sign of charges.)
Surface charge density σ2Give your answer up to at least three significance digits.
b) Find an expression of electric field at rmm from the center where R1<r<R2. Assume the cylinder has a length L and L is very long so that electric field is uniform. Consider that the insulating material between the cylinders is air. (Hint : use Gauss's law and cylindrical Gaussian surface with radius r.)
Magnitude of the electric field at r=0.76mm
Give your answer up to at least three significance digits.
c) Calculate absolute value of the potential difference between the wire and the cylinder.
Absolute value of the potential difference
Give your answer up to at least three significance digits.
d) Calculate the capacitance C for this cylindrical system. Assume that the length of the cylinder is L=17cm.
Capacitance C for this cylindrical system
Give your…
What is wrong with this?
An infinitely long sheet of charge of width L lies in the xy-plane between x = -L/2 and x =L/2. The surface charge density is n. Derive an expression for the electric field E at
height z above the centerline of the sheet.
Express your answer in terms of some or all of the variables e0, T, 7, L, z, and unit vector k. Use the 'unit vector' button to denote unit vectors in your answer.
?
E =
Chapter 6 Solutions
University Physics Volume 2
Ch. 6 - Check Your Understanding What angle should there...Ch. 6 - Check Your Understanding If the electric field in...Ch. 6 - Check Your Understanding Calculate the electric...Ch. 6 - Check Your Understanding Check that the electric...Ch. 6 - Check Your Understanding A thin straight wire has...Ch. 6 - Check Your Understanding How will the System above...Ch. 6 - Discuss how to orient a planar surface of area A...Ch. 6 - What are the maximum and minimum values of the...Ch. 6 - The net electric flux crossing a closed surface is...Ch. 6 - The net electric flux crossing an open surface is...
Ch. 6 - Two concentric spherical surfaces enclose a point...Ch. 6 - Compare the electric flux through the surface of a...Ch. 6 - (a) If the electric flux through a closed surface...Ch. 6 - Discuss how Gauss's law would be affected if the...Ch. 6 - Discuss the similarities and differences between...Ch. 6 - Discuss whether Gauss's law can be applied to...Ch. 6 - Is the term in Gauss's law the electric field...Ch. 6 - Reformulate Gauss's law by choosing the unit...Ch. 6 - Would Gauss's law be helpful for determining the...Ch. 6 - Discuss the role that symmetry plays in the...Ch. 6 - Discuss the restrictions on the Gaussian surface...Ch. 6 - Is the electric field inside a metal always zero?Ch. 6 - Under electrostatic conditions, the excess charge...Ch. 6 - A charge q is placed in the cavity of a conductor...Ch. 6 - The conductor in the preceding figure has an...Ch. 6 - A uniform electric field of magnitude 1.1104 N/C...Ch. 6 - Calculate the flux through the sheet of the...Ch. 6 - Find the electric flux through a rectangular area...Ch. 6 - The electric flux through a square-shaped area of...Ch. 6 - Two large rectangular aluminum plates of area 150...Ch. 6 - A square surface of area 2 cm2 is in a space of...Ch. 6 - A vector field is pointed along the z-axis,...Ch. 6 - Consider the uniform electric field...Ch. 6 - Repeat the previous problem, given that the...Ch. 6 - An infinite charged wire with charge per unit...Ch. 6 - Determine the electric flux through each surface...Ch. 6 - Find the electric flux through the closed surface...Ch. 6 - A point charge q is located at the center of a...Ch. 6 - A point charge of 10C is at an unspecified...Ch. 6 - A net flux of 1.0104 N ? m2/C passes inward...Ch. 6 - A charge q is placed at one of the comers of a...Ch. 6 - The electric flux through a cubical box 8.0 cm on...Ch. 6 - The electric flux through a spherical surface is...Ch. 6 - A cube whose sides are of length d is placed in a...Ch. 6 - Repeat the previous problem, assuming that the...Ch. 6 - A total charge 5.0106 C is distributed uniformly...Ch. 6 - Recall that in the example of a uniform charged...Ch. 6 - Suppose that the charge density of the spherical...Ch. 6 - A very long, thin wile has a uniform linear charge...Ch. 6 - A charge of 30C is distributed uniformly a...Ch. 6 - Repeat your calculations for the preceding...Ch. 6 - A total charge Q is distributed uniformly...Ch. 6 - When a charge is placed on a metal sphere, it ends...Ch. 6 - A large sheet of charge has a uniform charge...Ch. 6 - Determine if approximate cylindrical symmetry...Ch. 6 - A long silver rod of radius 3 cm has a charge of...Ch. 6 - ne electric field at 2 cm from the center of long...Ch. 6 - A long copper cylindrical shell of inner radius 2...Ch. 6 - Charge is distributed uniformly with a density p...Ch. 6 - Charge is distributed throughout a very long...Ch. 6 - The electric field 10.0 cm from the surface of a...Ch. 6 - Charge is distributed throughout a spherical shell...Ch. 6 - Charge is distributed throughout a spherical...Ch. 6 - Consider a uranium nucleus to be sphere of radius...Ch. 6 - The volume charge density of a spherical charge...Ch. 6 - An uncharged conductor with an internal cavity is...Ch. 6 - An uncharged spherical conductor S of radius R has...Ch. 6 - A positive point charge is placed at the angle...Ch. 6 - A long cylinder of copper of radius 3 cm is...Ch. 6 - An aluminum spherical ball of radius 4 cm is...Ch. 6 - A long cylinder of aluminum of radius R meters is...Ch. 6 - At the surface of any conductor in electrostatic...Ch. 6 - Two parallel plates 10 cm on a side are given...Ch. 6 - Two parallel conducting plates, each of...Ch. 6 - The surface charge density on a long straight...Ch. 6 - A point charge q=5.01012 C is placed at the center...Ch. 6 - A solid cylindrical conductor of radius a is...Ch. 6 - A vector field E (not necessarily an electric...Ch. 6 - Repeat the preceding problem, with E=2xi+3x2k.Ch. 6 - A circular area S is concentric with the origin,...Ch. 6 - (a) Calculate the electric flux through the open...Ch. 6 - Suppose that the electric field of an isolated...Ch. 6 - The electric field in a region is given by...Ch. 6 - Two equal and opposite charges of magnitude Q are...Ch. 6 - A fellow student calculated the flux through the...Ch. 6 - A 10cm10cm piece of aluminum foil of 0.1 mm...Ch. 6 - Two 10cm10cm pieces of aluminum foil of thickness...Ch. 6 - Two large copper plates facing each other have...Ch. 6 - The infinite slab between the planes defined by...Ch. 6 - A total charge Q is distributed uniformly...Ch. 6 - A non-conducting spherical shell of inner radius...Ch. 6 - Two non-conducting spheres of radii R1 and R2 are...Ch. 6 - A disk of radius R is cut in a non-conducting...Ch. 6 - Concentric conducting spherical shells carry...Ch. 6 - Shown below ale two concentric conducting...Ch. 6 - A point charge of q=5.0108 C is placed at the...Ch. 6 - Re-derive Gauss's law for the gravitational field,...Ch. 6 - An infinite plate sheet of charge of surface...Ch. 6 - A spherical lubber balloon carries a total charge...Ch. 6 - Find the electric field of a large conducting...
Additional Science Textbook Solutions
Find more solutions based on key concepts
On the smallest moon of Uranus, my team discovered a vast, subsurface ocean of liquid water.
Life in the Universe (4th Edition)
The pV-diagram of the Carnot cycle.
Sears And Zemansky's University Physics With Modern Physics
Why do rocks made from slowly cooling magma have large crystals? Give an example of this kind of rock
Conceptual Integrated Science
At which position(s), if any, does Star B rise and set?
Lecture- Tutorials for Introductory Astronomy
Why must the electric field be zero inside a conductor in electro-static equilibrium?
Essential University Physics (3rd Edition)
Choose the best answer to each of the following. Explain your reasoning. Which terrestrial world has the most a...
Cosmic Perspective Fundamentals
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
- Two infinite, nonconducting sheets of charge are parallel to each other as shown in Figure P19.73. The sheet on the left has a uniform surface charge density , and the one on the right hits a uniform charge density . Calculate the electric field at points (a) to the left of, (b) in between, and (c) to the right of the two sheets. (d) What If? Find the electric fields in all three regions if both sheets have positive uniform surface charge densities of value .arrow_forwardAn infinite nonconducting plate has a uniform charge distribution of σ= 44.4 µC/m2. What is the intensity of the electric field, at the point x = 20.0 cm from the plate?Express your answer in N/A to three significant figures.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_forward
- ANSWER C D and E onlyarrow_forwardCharge Q is uniformly distributed along a thin, flexible rod of length L. The rod is then bent into the semicircle shown in the figure (Figure 1). Figure L Center ·x 1 of 1 Find an expression for the electric field at the center of the semicircle. Hint: A small piece of arc length As spans a small angle A = As /R, where R is the radius. Express your answer in terms of the variables Q, L, unit vectors i, j, and appropriate constants. Ē = Submit Part B 17 ΑΣΦ B Y α P A Σ Φ Submit V R 8 € E = Value 0 T Request Answer 11 Ꮎ ΨΩ ħ φ χ Request Answer Evaluate the field strength if I = 14 cm and Q = 50 nC. Express your answer with the appropriate units. w Units к ? 2 2. y (0) X ? Review μ SWICarrow_forwardProblem 3: Imagine you have a very thin plastic hoop of diameter D, which is charged up to total net electrostatic charge Q. The hoop is thin in the sense that the plastic rod of which it is made has a diameter d D. In each case, give the magnitude and direction of the field. You might need to use words (rather than formulae) to express the direction unambiguously. Assume that there are no other charges anywhere!arrow_forward
- An insulating sphere of radius a has a non-uniform volume charge density p = A where A is a constant and r is the spherical radial coordinate. This insulating sphere is surrounded by a concentric conducting spherical shell of inner and outer radii b and c, respectively (b>a) as shown in the figure. What are the induced surface charge densities on the inner (oinner) and outer (oouter) surfaces of the conducting shell? Select one: Aa Oinner = - Aa Jouter 4 Aa 4 Aa Oinner O outer 62 Aa Aa Oinner Oouter 62 * Oinner = -47Aa², Ở outer = 4 Aa? Ab Ac Oinner = - a2 ' O outer = - a2arrow_forwardSolvearrow_forward= Three uniform charge distributions are present in a region: an infinite sheet of charge, a finite line charge, and a ring of charge. The infinite sheet of charge at (x, -3, z), where x and z spans from negative to positive infinity, has a charge density Ps 5 nC/m². The finite line charge at (0, -1, z), where z ranges from -2 to 2, has a charge density -4 nC/m. Finally, the ring of charge, with a radius of 3m and charge density PL 2 nC/m, is parallel to the xz-plane centered at (0, 4, 0). All coordinates are in meters. Use the value k = 9 x 10⁹ in your solutions and = answers. Question: Determine the magnitude the electric field due to the infinite sheet charge only at (0, 2, 0).arrow_forward
- Consider a spherical charge distribution with the total charge Q = 2 pC and radius R=3 cm in which the volume charge density decreases linearly with the distance r from the center of the distribution such that 3Q p = (1-7) TR3 Which of the following gives the magnitude of the electric field at a radial distance r = 4 cm from the center? (Take k = 9 x 10° Nm2/C2.) O 7.2 N/C 3.7N/C 5 N/C 2.8 N/C 11.3 N/Carrow_forwardConsider two thin disks, of negligible thickness, of radius R oriented perpendicular to the x axis such that the x axis runs through the center of each disk. The disk centered at x=0 has positive charge density η, and the disk centered at x=a has negative charge density −η, where the charge density is charge per unit area. What is the magnitude E of the electric field at the point on the x axis with x coordinate a/2? Express your answer in terms of η, R, a, and the permittivity of free space ϵ0.arrow_forwardA spherical insulator with radius R is centered at the origin. The volume charge density p of the insulator is non-uniform and varies with position according to p(r) = ar, where a is a constant. Derive an expression for the electric field E(r) for all points outside the sphere (r > R). Hint: finding the total charge of the sphere will require an integral.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author: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: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Electric Fields: Crash Course Physics #26; Author: CrashCourse;https://www.youtube.com/watch?v=mdulzEfQXDE;License: Standard YouTube License, CC-BY