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Calculate the force of magnetic attraction between the

Introduction to Electrodynamics | 4th Edition | ISBN: 9780321856562 | Authors: David J. Griffiths ISBN: 9780321856562 45

Solution for problem 3P Chapter 8

Introduction to Electrodynamics | 4th Edition

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Introduction to Electrodynamics | 4th Edition | ISBN: 9780321856562 | Authors: David J. Griffiths

Introduction to Electrodynamics | 4th Edition

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Problem 3P

Calculate the force of magnetic attraction between the northern and southern hemispheres of a uniformly charged spinning spherical shell, with radius R, angular velocity ω, and surface charge density σ. [This is the same as Prob. 5.44, but this time use the Maxwell stress tensor and Eq. 8.21.]

Step-by-Step Solution:

Solution 3P

Step 1 of 5</p>

To find the magnetic force of attraction between the northern and southern hemisphere for a charged spherical spinning sphere shell with radius ‘R’ and angular velocity .

Step 2 of 5</p>

The Maxwell’s tensor equation is given by;

                                                ….(1)

And, we have if indices are same, and for E = 0

Let us consider the Maxwell’s stress tensor which is given by,

                                                        ….(2)

Now, let us calculate the force for the upper charge for the xy-plane , E = 0, we have;

         

and we know that,   

So, from eq(1) we get,

                                                         ….(3)

Step 3 of 5</p>

 Let us consider the magnetic field across the shell, since the magnetic field is discontinuous across the shell we have,

                        for r < R                ….(4)

        Where ‘R’ is the radius of the sphere, is the angular speed and is the surface charge density

Step 4 of 5

Chapter 8, Problem 3P is Solved
Step 5 of 5

Textbook: Introduction to Electrodynamics
Edition: 4
Author: David J. Griffiths
ISBN: 9780321856562

Since the solution to 3P from 8 chapter was answered, more than 1051 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 3P from chapter: 8 was answered by , our top Physics solution expert on 07/18/17, 05:41AM. This textbook survival guide was created for the textbook: Introduction to Electrodynamics , edition: 4. Introduction to Electrodynamics was written by and is associated to the ISBN: 9780321856562. The answer to “Calculate the force of magnetic attraction between the northern and southern hemispheres of a uniformly charged spinning spherical shell, with radius R, angular velocity ?, and surface charge density ?. [This is the same as Prob. 5.44, but this time use the Maxwell stress tensor and Eq. 8.21.]” is broken down into a number of easy to follow steps, and 48 words. This full solution covers the following key subjects: angular, attraction, calculate, Charge, charged. This expansive textbook survival guide covers 12 chapters, and 550 solutions.

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