Problem 2 A two-layer ring of surface charge lies in the x-y plane and is centered on the origin. It has inner radius 6.5 m and outer radius 11.7 m. The top layer of surface charge is uniformly distributed and has charge density +4.2 x 10-6 C/m². The bottom layer of surface charge is equal and opposite (negative). The two layers are very close together so both can be approximated as lying in the x-y plane. The top layer rotates at 25 radians per second, and the bottom layer remains stationary. The moving charges in the top layer constitute a current, and this system is like a circular current loop. The system is surrounded by empty space (vacuum). Q11: What is the total magnetic dipole moment of this system? 0.883 A m? 1.40 A m? O 2.67 A m? O 3.82 A m? O 0.637 A m2

Problem 2 A two-layer ring of surface charge lies in the x-y plane and is centered on the origin. It has inner radius 6.5 m and outer radius 11.7 m. The top layer of surface charge is uniformly distributed and has charge density +4.2 x 10-6 C/m². The bottom layer of surface charge is equal and opposite (negative). The two layers are very close together so both can be approximated as lying in the x-y plane. The top layer rotates at 25 radians per second, and the bottom layer remains stationary. The moving charges in the top layer constitute a current, and this system is like a circular current loop. The system is surrounded by empty space (vacuum). Q11: What is the total magnetic dipole moment of this system? 0.883 A m? 1.40 A m? O 2.67 A m? O 3.82 A m? O 0.637 A m2

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter25: Gauss’s Law

Section: Chapter Questions

Problem 34PQ: A very long line of charge with a linear charge density, , is parallel to another very long line of...

See similar textbooks

Similar questions

Problem 2: A closed hollow cylinder (i.e., with capped ends) is situated in an electric field given by E(u) = E0(u5i + 7j + 22k). The cylinder’s axis is on the x-axis with its center at the origin. The cylinder’s height is L and its radius is R. Here u = x/x0 is a dimensionless variable, where x0 sets the scale of the field. Refer to the figure. Part (a) Integrate to find an expression for the total electric flux through the cylinder in terms of defined quantities and enter the expression. Part (b) For L = 8.7 m, R = 0.25 m, E0 = 4.5 V/m, and x0 = 1 m, find the value of the electric flux, in units of volt•meter, through the cylinder. Part (c) If the electric field is E(u) = E0(323u2i + 42j + 415k), enter an expression for the total flux in terms of defined quantities.
Case 1: A charge +q when the surface is a sphere centered on the charge. : A charge +2q when a surface is a sphere centered on the charge. How does this flux compare to the flux in Case #1? (Explain)
A thick, conducting, spherical shell of inner radius a and outer radius b carries an excess charge of −2Q. At the center of the spherical shell, a point charge −Q is placed. A. How is the charge −2Q distributed on the think spherical shell? (Just give an answer.) i. How much charge is on the surface of radius a ii. How much charge is on the surface of radius b B. What is the direction of the electric field (radially inward, radially outward or zero) in each of the following regions. (Just give an answer in the table provided.) r < a a <r r> b
Consider a hollow spherical conductive shell of radius (R) 0.2 m with a fixed charge of +2.0 x 10-6 C uniformly distributed on its surface. a. What if the sphere is a solid conductive sphere? What is the electric field at all points inside the sphere? Express your answer as function of the distance r from the center of the sphere. b. What is the electric field at all points outside the sphere? Express your answer as a function of the distance r from the center of the sphere
A cubical gaussian surface is bisected by a large sheet of charge, parallel to its top and bottom faces. No other charges are nearby. (i) Over how many of the cubes faces is the electric field zero? (a) 0 (b) 2 (c) 4 (d) 6 (ii) Through how many of the cubes faces is the electric flux zero? Choose from the same possibilities as in part (i).
A very long line of charge with a linear charge density, , is parallel to another very long line of charge with a linear charge density, 2. Both lines are parallel to the y-axis, and are the same distance r from the y-axis, where the first wire is to the left of the origin and the second is to the right. Use Gausss law and the principle of superposition to find an expression for the magnitude of the electric field at the origin.
Consider an electric field that is uniform in direction throughout a certain volume. Can it be uniform in magnitude? Must it be uniform in magnitude? Answer these questions (a) assuming the volume is filled with an insulating material carrying charge described by a volume charge density and (b) assuming the volume is empty space. State reasoning to prove your answers.
A coaxial cable consists of a long, straight filament surrounded by a long, coaxial, cylindrical conducting shell. Assume charge Q is on the filament, zero net charge is on the shell, and the electric field is E1i at a particular point P midway between the filament and the inner surface of the shell. Next, you place the cable into a uniform external field Ei. What is the x component of the electric field at P then? (a) 0 (b) between 0 and E1 (c) E1 (d) between 0 ant E1 (e) E1
Part J: An imaginary spherical surface of radius 5.00 cm is centered on the point x = 0, y = 0, z = 0. Calculate the net electric flux through the surface if a point charge q1 = +3.00 nC is located at x = 1.00 cm, y = 1.00 cm, z = 0. Calculate the net electric flux through the surface if the following charges are present: the charge in part J plus a point charge q2 = -8.00 nC at x = 2.00 cm, y = 0, z = -4.00 cm. Calculate the net electric flux through the surface if the following charges are present: the charges in part K plus a point charge q3 = +2.00 nC at x = 4.00 cm, y = -2.00 cm, z = 3.00 cm.
A conducting sphere witha net charge Q and radius a sits inside a hollow conducting sphere with a net charge q, inside radius b and ouside radius c. What is the electric field as a function of position? Include answer for r < a, a < r < b, b < r< c and r>c
PLEASE SOLVE ASAP A. A sphere of radius a has volume charge density p = bor where bo is constant and r is the distance from the center of the sphere. The total charge of the sphere is Q. Find bo in terms of a, Q, and fundamental constants. Now the sphere with charge Q is placed at the center of a thick metal spherical shell with inner radius b, outer radius c, and total charge q. Find the value of the electric field: b. Outside the central sphere but within the hollow metal shell, a < r < b c) Within the shell, bc
1. What is the electric field at any point outside the shell of radius R where a positive charge Q is placed on it? Take r to be the radius of the Gaussian sphere. Explain your answer. (note: k=1/3πε0) A. zero B. kq/R^2 C. kq/r^2 D. kqr^2/R^2 2. What is the electric field at any point inside the shell of radius R where a positive charge Q is placed on it? Take r to be the radius of the Gaussian sphere. Explain your answer. (note: k=1/3πε0) A. zero B. kq/R^2 C. kq/r^2 D. kqr^2/R^2