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19 November, 20:41

If a single circular loop of wire carries a current of 61 A and produces a magnetic field at its center with a magnitude of 1.30 10-4 T, determine the radius of the loop.

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  1. 19 November, 22:47
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    Given Information:

    Current = I = 61 A

    Magnetic field = B = 1.30x10⁻⁴

    Required Information:

    Radius of wire = r = ?

    Answer:

    r = 0.093 meters

    Step-by-step explanation:

    Biot-Savart Law is given by

    B = μ₀I/2πr

    Where μ₀ is the permeability of free space and it is basically a measure of resistance in the formation of magnetic field.

    I is the current flowing through the wire and B is the magnitude of the magnetic field produced.

    Re-arranging the above equation to find out the radius of the loop

    r = μ₀I/2πB

    r = 4πx10⁻⁷*61/2π*1.30x10⁻⁴

    r = 0.093 m

    Hence, the radius of the loop wire is 0.093 meters.
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