(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.
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Chapter1: Units, Trigonometry. And Vectors
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Transcribed Image Text:(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.
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