Estimate the magnitude of the magnetic field at ground level generated by an overhead AC power line service drop connecting a single home to

Question

Estimate the magnitude of the magnetic field at ground level generated by an overhead AC power line service drop connecting a single home to a utility pole.

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Ben Gia 4 years 2021-09-02T13:16:21+00:00 1 Answers 20 views 0

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  1. danthu
    0
    2021-09-02T13:17:44+00:00
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    Answer:

    Explanation:

    Magnetic field due to current carrying wire at a distance r from the  wire is

    B=\frac{\mu_0I}{2r}---(1)

    In our case

    I=\frac{I_0}{2}

    where,

    I₀ = max current or peak current

    and r = h (where h is the height of power line)

    \therefore B=\frac{\mu (I_0/2)}{2h} \\\\=\frac{\mu_0 I_0}{4h} ----(2)

    put

    h ≈ 370m

    I₀ ≈ 3KA

    B= \frac{(1.26*10^-^6)(3*10^3)}{4*(370)} \\\\=2.5*10^-^6 T

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