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March 29, 2017

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If 750 m of 3.00-mm-diameter wire has a resistance of 27.6, what length of similar wire 5.00 mm in diameter will have the same resistance?

  • Algebra II - ,

    R = kL/d^2

    Find k:

    27.6 = k(750)/9
    k = 0.3312

    So, now we find the new L:

    27.6 = .3312L/25
    L = 2083.3 mm

    Makes sense. The diameter has almost doubled, so the resistance is about 1/3 of what it was. (9/25 actually)

    Note that 750 * 25/9 = 2083.3

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