Engineering Electromagnetics
Engineering Electromagnetics
9th Edition
ISBN: 9780078028151
Author: Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher: Mcgraw-hill Education,
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Chapter 7, Problem 7.11P

A solenoid of radius a and of length. L is oriented with its axis along the 2 axis over the range -d/2 The coil is tightly wound with wire having density n turns per meter of length, where each turn carries current I. (a) Find H at the origin. Begin with the current loop field (solution to Problem 7.3) modified by replacing the current in that result with Is = nI dz. Is is the current in a circular band of length dz on the coil; the solenoid is made up of these bands of current over the entire length, (b) Show that the midpoint field of part a reduces to nI az as the solenoid length approaches infinity.

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