Physics for Scientists and Engineers: Foundations and Connections
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 31, Problem 21PQ
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Find the expression for the magnitude of the magnetic field near the infinite sheet.

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(a) Derive an expression for the magnetic field a distance r from an infinitely-long straight wire carrying current i. [I want a complete derivation.] (b) Two infinitely-long, straight wires are located 0.5 m apart and carry current into the paper. The wire on the left carries a 5 A current while the wire on the right carries a 2 A current. What is the magnitude and direction of the magnetic field at a point half-way between the wires?
Consider a conducting cylindrical shell as shown below. The shell has a uniform current density, and carries a total current of I. The inner radius of the shell is a and the outer radius is b= 2a. Use Ampere's law to determine the magnetic field at a point halfway through the thickness of the shell (i.e. at r= 1.5a). The field at r is equal to: а b O (0.42) µ_0 1/2r OHO 1/2nr O (0.50) H_0 1/2nr O (0.25) HO 1/2nr
A circular wire loop of radius 22.0 cm carries a current of 4.90 A. It is placed so that the normal to its plane makes an angle of 90.0° with a uniform magnetic field of magnitude 12.0 T. Calculate the magnitude of the magnetic dipole moment of the loop. (Your result must be in units of  A.m 2 and include 3 digit after the decimal point. Maximum of 5% of error is accepted in your answer.  Take π = 3.14.)

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Physics for Scientists and Engineers: Foundations and Connections

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