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5 December, 11:03

Find the current through a loop needed to create a maximum torque of 9.00 mN. The loop has 50 square turns that are 15.0 cm on a side and is in a uniform 0.800-T magnetic field.

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  1. 5 December, 12:08
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    10 A

    Explanation:

    τ = Maximum torque of the loop = 9 mN

    N = Number of turns in the loop = 50

    a = side of the loop = 15 cm = 0.15 m

    A = Area of the loop = a² = 0.15² = 0.0225 m²

    B = magnitude of magnetic field = 0.800 T

    i = magnitude of current in the loop

    Maximum torque of the loop is given as

    τ = N B i A

    Inserting the values

    9 = (50) (0.8) (0.0225) i

    i = 10 A
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