(III) A toroid is a solenoid in the shape of a donut (Fig. 20–60). Use Ampère's law along the circular paths, shown dashed in Fig. 20–60a, to determine that the mag- netic field (a) inside the toroid is B = µoNI/2#R, where N is the total number of turns, and (b) outside the toroid is B = 0. (c) Is the field inside a toroid uniform like a solenoid’s? If not, how does it vary? R Path 1 Path 2 (a) (b) FIGURE 20-60 Problem 49. (a) A toroid or torus. (b) A section of the toroid showing direction of the current for three loops: O means current toward you, and ® means current away from you.
(III) A toroid is a solenoid in the shape of a donut (Fig. 20–60). Use Ampère's law along the circular paths, shown dashed in Fig. 20–60a, to determine that the mag- netic field (a) inside the toroid is B = µoNI/2#R, where N is the total number of turns, and (b) outside the toroid is B = 0. (c) Is the field inside a toroid uniform like a solenoid’s? If not, how does it vary? R Path 1 Path 2 (a) (b) FIGURE 20-60 Problem 49. (a) A toroid or torus. (b) A section of the toroid showing direction of the current for three loops: O means current toward you, and ® means current away from you.
Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter24: Magnetic Fields
Section: Chapter Questions
Problem 77A
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