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15 June, 10:02

A certain metal has a resistivity of 1.68 * 10-8 Ω ∙ m. You have a long spool of wire made from this metal. If this wire has a diameter of 0.15 mm, how long should you cut a segment so its resistance will be 15 Ω?

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  1. 15 June, 12:23
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    15.78 m

    Explanation:

    Length = resistance*area/resistivity

    Resistance = 15 ohms

    Area = πd^2/4 = 3.142 * (0.15/1000) ^2/4 = 1.767375*10^-8 m^2

    Resistivity = 1.68 ohm-meter

    Length = 15*1.767375*10^-8/1.68*10^-8 = 15.78 m
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