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19 December, 20:46

What is the resistance of a 4.4-m length of copper wire 1.5 mm in diameter? The resistivity of copper is 1.68*10-8Ω⋅m.

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  1. 19 December, 22:59
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    R = 4.18 * 10^8ohms

    Explanation:

    R=resistance in ohms=?

    ρ=resistivity of material in ohms meters = 1.68*10^-8 oh ohm meters

    L = length of the object (m) = 4.4m

    A = cross-sectional area of the object in square meters (m^2) = πr^2

    r = (1.5mm/1000) / 2 = 0.00075m

    A=π * (0.00075) ^2 = 1.76714586764426*10^-6

    Approximately, A = 1.767m^2

    R = ρL/A = (1.68*10^8Ω⋅m) * (4.4m) / (1.767m^2)

    R = 418336162.988115 ohms

    Approximately, R = 4.18 * 10^8ohms.
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