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25 October, 00:06

A length of #8 copper wire (radius = 1.63 mm) has a mass of 24.0 Kg and a resistance of 2.061 Ohm per Km. What is the over all resistance of the wire?

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  1. 25 October, 03:04
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    V = m / ρ

    V = (23,200/8.96) * 1000

    V = 2,589,285.71 mm³

    Now we have volume and given the radius we can solve for its length.

    L = V/πr²

    L = (2,589,285.71 / (π*1.63²)) / 1*10^6

    L = 0.31 km

    So

    R = rL

    R = 2.061 (0.31)

    R =.6389 Ω

    End.
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