Question #190247

Calculate the resistance of copper wire with a diameter of 2.5968 mm having a length of 1000 m at 20°C.

Expert's answer

Resistivity of copper at 20"^0 C" is = 1.68 "\\times 10^{-8} \\Omega m"

Resistance = Resistivity "\\times \\frac{Length}{Area}"

R= "\\rho \\frac{L}{A}"

A= "\\pi r^2" = 3.142 "\\times (\\frac{ 2.5968\\times 10^{-3}}{2})= 5.2969\\times 10^{-6} m^2"

R= 1.68 "\\times 10^{-8} \\times \\frac{1000}{ 5.2969\\times 10^{-6}}" = 3.1717 "\\Omega"

R= "3.1717 \\Omega"

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