A certain superconducting magnet in the form of a solenoid of length 0.24 m can generate a magnetic field of 7.0 T in its core when its coil

Question

A certain superconducting magnet in the form of a solenoid of length 0.24 m can generate a magnetic field of 7.0 T in its core when its coils carry a current of 90 A. The windings, made of a niobium-titanium alloy, must be cooled to 4.2 K. Find the number of turns in the solenoid.

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Jezebel 3 years 2021-08-24T05:41:05+00:00 1 Answers 11 views 0

Answers ( )

  1. giabao
    0
    2021-08-24T05:42:33+00:00
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    Answer:

    N=14854.5turns

    Explanation:

    Given data

    Length L=0.24 m

    Magnetic field B=7.0 T

    Current I=90 A

    To find

    Number of turns N

    Solution

    As we know that magnetic field is given as:

    B=u_{o}I\frac{N}{L}

    Rearrange the equation and solve for N

    So

    B=u_{o}I\frac{N}{L}\\\frac{B}{u_{o}I} =\frac{N}{L} \\N=\frac{LB}{u_{o}I}\\N=\frac{(0.24m)(7.0T)}{4\pi *10^{-7}*(90A)} \\N=14854.5turns

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