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A toroidal coil has a rectangular cross section, with

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

Solution for problem 19P Chapter 7

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 19P

Problem 19P

A toroidal coil has a rectangular cross section, with inner radius a, outer radius a + w, and height h. It carries a total of N tightly wound turns, and the current is increasing at a constant rate (d I/dt = k). If w and h are both much less than a, find the electric field at a point z above the center of the toroid. [Hint: Exploit the analogy between Faraday fields and magnetostatic fields, and refer to Ex. 5.6.]

Step-by-Step Solution:

Solution 19P

Step 1 of 3:

Consider a toroidal coil has rectangular cross section having an inner radius  and outer radius , at a height . The toroid carries  tightly wound turns.

The magnetic field outside the toroid is zero.

The magnetic field inside the toroid is,

Where  is the current flowing through the toroid.

 is the number of turns.

Step 2 of 3

Chapter 7, Problem 19P is Solved
Step 3 of 3

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

This textbook survival guide was created for the textbook: Introduction to Electrodynamics , edition: 4. The full step-by-step solution to problem: 19P from chapter: 7 was answered by , our top Physics solution expert on 07/18/17, 05:41AM. Since the solution to 19P from 7 chapter was answered, more than 671 students have viewed the full step-by-step answer. This full solution covers the following key subjects: Fields, radius, increasing, center, coil. This expansive textbook survival guide covers 12 chapters, and 550 solutions. The answer to “A toroidal coil has a rectangular cross section, with inner radius a, outer radius a + w, and height h. It carries a total of N tightly wound turns, and the current is increasing at a constant rate (d I/dt = k). If w and h are both much less than a, find the electric field at a point z above the center of the toroid. [Hint: Exploit the analogy between Faraday fields and magnetostatic fields, and refer to Ex. 5.6.]” is broken down into a number of easy to follow steps, and 81 words. Introduction to Electrodynamics was written by and is associated to the ISBN: 9780321856562.

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A toroidal coil has a rectangular cross section, with