. (II) A toroid has a rectangular cross section as shown in Fig. 30-26. Show that the self-inductance is Mo N²h L 12 In- 27 7₁ where N is the total number of turns and r₁, 72, and h are the dimensions shown in Fig. 30-26. [Hint: Use Ampère's law to get B as a function of r inside the toroid, and integrate.] FIGURE 30-26

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13. (II) A toroid has a rectangular cross section as shown in
Fig. 30-26. Show that the self-inductance is
L
Mo N²h
In ¹2
2π "₁
where N is the total number of turns and r₁, 2, and h are
the dimensions shown in Fig. 30-26. [Hint: Use Ampère's
law to get B as a function of r inside the toroid, and
integrate.]
FIGURE 30-26
Problems 13 and 19.
A toroid of rectangular
cross section, with
N turns carrying a
current I.
Transcribed Image Text:13. (II) A toroid has a rectangular cross section as shown in Fig. 30-26. Show that the self-inductance is L Mo N²h In ¹2 2π "₁ where N is the total number of turns and r₁, 2, and h are the dimensions shown in Fig. 30-26. [Hint: Use Ampère's law to get B as a function of r inside the toroid, and integrate.] FIGURE 30-26 Problems 13 and 19. A toroid of rectangular cross section, with N turns carrying a current I.
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