he magnetic field strength at the north pole of a 2.0-cmcm-diameter, 8-cmcm-long Alnico magnet is 0.10 TT. To produce the same field with a

Question

he magnetic field strength at the north pole of a 2.0-cmcm-diameter, 8-cmcm-long Alnico magnet is 0.10 TT. To produce the same field with a solenoid of the same size, carrying a current of 1.9 AA , how many turns of wire would you need? Express your answer using two significant figures.

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Diễm Kiều 7 days 2021-07-22T16:08:51+00:00 1 Answers 6 views 0

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    2021-07-22T16:10:36+00:00

    Answer: 3400

    Explanation:

    Given

    Magnetic field, B = 0.1 T

    Diameter of magnet, d = 2 cm = 0.02 m

    Length of magnet, l = 8 cm = 0.08 m

    Current of the magnet, I = 1.9 A

    Number of turns needed, N = ?

    To solve this problem, we would use the formula,

    N = (LB) / (μI), where

    μ = 1.257*10^-6 Tm/A, so that

    N = (0.08 * 0.1) / (1.257*10^-6 * 1.9)

    N = 0.008 / 2.388*10^-6

    N = 3350

    N ~ 3400

    Therefore, the number of turns of wire needed is 3400

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