Calculate the resistance of a copper wire 1 km long and 0.50 mm in diameter if the resistivity of copper is 1.7×10^-8
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Length of copper wire(l) = 1 km = 1000 m
Radius of the copper wire(r) = 1 mm = 1 x 10^-3 m
Resistivity of the copper (p) = 1.72 x 1 0-8 W m
Area of cross section = pi * r^2 = 3.14 x 10^-3 x 10^-3 = 3.14 x 10^-6
R = pl/A = (1.72 x 1 0-8 x 1000 ) / 3.14 x 10^-6 = 5.5 W
If the wire was of different material, then plug in that resistivity to get the resistance.
Radius of the copper wire(r) = 1 mm = 1 x 10^-3 m
Resistivity of the copper (p) = 1.72 x 1 0-8 W m
Area of cross section = pi * r^2 = 3.14 x 10^-3 x 10^-3 = 3.14 x 10^-6
R = pl/A = (1.72 x 1 0-8 x 1000 ) / 3.14 x 10^-6 = 5.5 W
If the wire was of different material, then plug in that resistivity to get the resistance.
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