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In Fig. 4.6, p1 and p2 are (perfect) dipoles a distance r

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

Solution for problem 5P Chapter 4

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 5P

In Fig. 4.6, p1 and p2 are (perfect) dipoles a distance r apart. What is the torque on p1 due to p2?What is the torque on p2 due to p1? [In each case, I want the torque on the dipole about its own center. If it bothers you that the answers are not equal and opposite, see Prob. 4.29.]

Reference prob 4.29

(a) For the configuration in Prob. 4.5, calculate the force on p2 due to p1, and the force on p1 due to p2. Are the answers consistent with Newton’s third law?

(b) Find the total torque on p2 with respect to the center of p1, and compare it with the torque on p1 about that same point. [Hint: combine your answer to (a) with the result of Prob. 4.5.]

Step-by-Step Solution:

Solution 5P

Step 1 of 5:

Consider two dipoles (p1 and p2) are separated by a distance r. The dipoles produce their own electric dipole fields. Because of the individual electric fields produced by the dipoles, each dipole will tend to rotate. We are going to find the torque on each dipole due to another.

Step 2 of 5

Chapter 4, Problem 5P is Solved
Step 3 of 5

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

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In Fig. 4.6, p1 and p2 are (perfect) dipoles a distance r