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March 30, 2017

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What is the diameter of a 1.00 meter length of tungsten wire whose resistance is 0.32 ohm (electrical resistance)?

  • Physics - ,

    The formula for resistance is:

    total resistance = (resistivity) * (length)/(area)

    filling in from the problem statement:

    0.32 ohms = (resistivity) * 1m/(area)
    looking up the resistivity for tungsten:

    at 20 C
    restivity = 5.28 * 10^-8 ohms*m

    leaving just the area unknown:
    0.32 ohm = (5.28 * 10^-8)(ohm-m) * (1 m)/(area)

    Solve for the area. Then, assuming a round wire, find the diameter that gives that area.

  • Physics - ,

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