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A solid sphere, radius R, is centered at the origin. The

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

Solution for problem 35P Chapter 3

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 35P

A solid sphere, radius R, is centered at the origin. The “northern” hemisphere carries a uniform charge density \(\rho_{0}\), and the “southern” hemisphere a uniform charge density \(\rho_{0}\). Find the approximate field E(r,θ) for points far from the sphere (r ≫ R).

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Step-by-Step Solution:

                                                                 

Step 1 of 3

As the total charge for the full sphere is zero, we have to use the concept of a dipole. The diagram of the following problem can be shown as below:

Capture2.PNG

The electric field for a dipole at any distance is given by,

                                                     

The dipole moment is,

                                                        

                                                           

Step 2 of 3

Chapter 3, Problem 35P is Solved
Step 3 of 3

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

Since the solution to 35P from 3 chapter was answered, more than 1280 students have viewed the full step-by-step answer. The answer to “?A solid sphere, radius R, is centered at the origin. The “northern” hemisphere carries a uniform charge density \(\rho_{0}\), and the “southern” hemisphere a uniform charge density ?\(\rho_{0}\). Find the approximate field E(r,?) for points far from the sphere (r ? R)...” is broken down into a number of easy to follow steps, and 42 words. This full solution covers the following key subjects: uniform, sphere, Density, Charge, hemisphere. This expansive textbook survival guide covers 12 chapters, and 550 solutions. The full step-by-step solution to problem: 35P from chapter: 3 was answered by , our top Physics solution expert on 07/18/17, 05:41AM. Introduction to Electrodynamics was written by and is associated to the ISBN: 9780321856562. This textbook survival guide was created for the textbook: Introduction to Electrodynamics , edition: 4.

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A solid sphere, radius R, is centered at the origin. The