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3 August, 12:16

A wire carrying a 29.0 A current passes between the poles of a strong magnet such that the wire is perpendicular to the magnet's field, and there is a 2.25 N force on the 3.00 cm of wire in the field. What is the average field strength (in T) between the poles of the magnet

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  1. 3 August, 12:28
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    2.59 T

    Explanation:

    Parameters given:

    Current flowing through the wire, I = 29 A

    Angle between the magnetic field and wire, θ = 90°

    Magnetic force, F = 2.25 N

    Length of wire, L = 3 cm = 0.03 m

    The magnetic force, F, is related to the magnetic field, B, by the equation below:

    F = I * L * B * sinθ

    Inputting the given parameters:

    2.25 = 29 * 0.03 * B * sin90

    2.25 = 0.87 * B

    => B = 2.25/0.87

    B = 2.59 T

    The magnetic field strength between the poles is 2.59 T
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