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11 January, 05:49

The diameter of a copper wire that is being used in a high voltage power line is 8.252 mm. What is the resistance in Ohms of a power line that is 361 miles long if it is 20oC

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  1. 11 January, 08:01
    0
    Answer: 182.45Ω

    Explanation:

    Hi to answer this question we have to apply the next formula:

    Resistance = ρL / A

    Where:

    ρ = resistivity of copper at 20° (1.68 x 10^-8 Ωm)

    L = lenght

    A = transversal area = π (diameter / 2) ^2 = π (8.252x10^-03 / 2) ^2 =

    5.35 x10^-05

    Since

    1 mile = 1,609 meters

    361 miles = 580,849 meters (length)

    1 mm = 0.001 meter

    8.252 mm = 8.252x10^-03 m (diameter)

    Resistance = [ 1.68 x 10^-8 (580,849) ] / (5.35 x10^-05) = 182.45Ω

    Feel free to ask for more if needed or if you did not understand something.
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