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Imagine two parallel infinite sheets, carrying uniform

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

Solution for problem 5P 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 5P

Problem 5P

Imagine two parallel infinite sheets, carrying uniform surface charge +σ (on the sheet at z = d) and −σ (at z = 0). They are moving in the y direction at constant speed v (as in Problem 5.17).

(a) What is the electromagnetic momentum in a region of area A?

(b) Now suppose the top sheet moves slowly down (speed u) until it reaches the bottom sheet, so the fields disappear. By calculating the total force on the charge (q = σ A), show that the impulse delivered to the sheet is equal to the momentum originally stored in the fields. [Hint: As the upper plate passes by, the magnetic field drops to zero, inducing an electric field that delivers an impulse to the lower plate.]

reference prob 5.17

A large parallel-plate capacitor with uniform surface charge σ on the upper plate and −σ on the lower is moving with a constant speed v, as shown in

Fig. 5.43.

(a) Find the magnetic field between the plates and also above and below them.

(b) Find the magnetic force per unit area on the upper plate, including its direction.

(c) At what speed v would the magnetic force balance the electrical force?15

Fig. 5.43.

Step-by-Step Solution:

Solution 5P

Step 1 of 6:

In part (a), our aim is to find the electromagnetic momentum in a region of area A in between the two parallel infinite sheets moving in the y direction at constant           speed v.

Step 2 of 6

Chapter 8, Problem 5P is Solved
Step 3 of 6

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

The answer to “Imagine two parallel infinite sheets, carrying uniform surface charge +? (on the sheet at z = d) and ?? (at z = 0). They are moving in the y direction at constant speed v (as in 5.17).(a) What is the electromagnetic momentum in a region of area A?(b) Now suppose the top sheet moves slowly down (speed u) until it reaches the bottom sheet, so the fields disappear. By calculating the total force on the charge (q = ? A), show that the impulse delivered to the sheet is equal to the momentum originally stored in the fields. [Hint: As the upper plate passes by, the magnetic field drops to zero, inducing an electric field that delivers an impulse to the lower plate.]reference prob 5.17A large parallel-plate capacitor with uniform surface charge ? on the upper plate and ?? on the lower is moving with a constant speed v, as shown inFig. 5.43.(a) Find the magnetic field between the plates and also above and below them.(b) Find the magnetic force per unit area on the upper plate, including its direction.(c) At what speed v would the magnetic force balance the electrical force?15Fig. 5.43.” is broken down into a number of easy to follow steps, and 193 words. This full solution covers the following key subjects: plate, Force, speed, magnetic, sheet. This expansive textbook survival guide covers 12 chapters, and 550 solutions. Since the solution to 5P from 8 chapter was answered, more than 551 students have viewed the full step-by-step answer. Introduction to Electrodynamics was written by and is associated to the ISBN: 9780321856562. The full step-by-step solution to problem: 5P 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.

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Imagine two parallel infinite sheets, carrying uniform