Asuperconducting 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?

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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