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14 May, 21:52

A long, straight, current-carrying wire runs across the floor in a lab. At a distance of 0.250.25 meters from the wire, the magnetic field due to the wire is found to be 2.75~ / mu / text{T}2.75 μT and directed into the floor. What is the magnitude of the magnetic field at a distance of 0.750.75 meters from that same wire?

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  1. 15 May, 00:38
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    B = 916.7ηT or 916.7 * 10^-9 or 0.0000009167

    Explanation:

    Magnetic field due to a current carrying conductor is given by

    B = μI / (2πr)

    B: magnetic field

    μ: permeability of free space

    r: perpendicular distance from the wire

    For r = 0.25, B = 0.00000275

    0.00000275 = μI / (2π*0.25)

    μI / (2π) = 0.0000006875

    For r = 0.75

    B = μI / (2πr)

    B = 0.0000006875/0.75

    B = 916.7ηT or 916.7 * 10^-9 or 0.0000009167
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