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6 July, 15:36

You measure the magnetic field of a long, current-carrying wire to be B is equal to start fraction 50 times mu naught over pi end fraction at a distance of r = 7.5 cm. How much current is running through the wire?

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  1. 6 July, 15:56
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    I = 1.875 A

    Explanation:

    For this exercise we use Ampere's law

    ∫ B. ds = μ₀ I

    We use a circular path around the wire whereby B and ds are parallel, whereby the dot product is reduced to the algebraic product

    ds = 2π dr

    B (2πr) = μ₀ I

    I = B 2π R / μ₀

    r = 7.5 cm = 0.075 m

    calculate

    I = (50 μ₀ / π) 2π 0.075 / μ₀

    I = 1.875 A
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