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The toroid in Figure P32.64 consists of N turns and has a rectangular cross section. Its inner and outer radii are a and b, respectively.
(a) Show that the inductance of the toroid is
(b) Using this result, compute the self-inductance of a 500-turn toroid for which a= 10.0 cm, b = 12.0 cm, and h = 1.00 cm.
(c) What If? In Problem 12, an approximate expression for the inductance of a toroid with R >> r was derived. To get a feel for the accuracy of that result, use the expression in Problem 12 to compute the approximate inductance of the toroid described in part (b). Compare the result with the answer to part (b). |
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