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14 June, 13:31

A superconducting solenoid is to be designed to have an interior field of 7.171 T with a maximum current of 1000 A. The permeability of free space is 1.25664 * 10-6 T · m/A. How many windings are required on a 1 - meter solenoid length?

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  1. 14 June, 16:19
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    5706.5

    Explanation:

    B = 7.171 T, i = 1000 A, μ0 = 1.25664 x 10^-6 T m/A, l = 1 m

    Let the number of turns be N.

    The magnetic field due to a current carrying solenoid is given by

    B = μ0 x N x i / l

    B x l / (μ0 x i) = N

    N = 7.171 x 1 / (1.25664 x 10^-6 x 1000)

    N = 5706.5
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