Calculate the resistance of a 1 mile length of wire if the conductivity (sigma) is 5.7x10^5 (ohm-cm)^-1 and the diameter of the wire is 1 inch. The formula for resistance is R = length/(sigma*Cross-sectional area) but all of the units must be consistent. The correct answer is not listed. Select the answer that is nearest the correct answe
2 answers
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Use the formula
R = Length/[area*conductivity]
For length, use 1 mile converted to centimeters: 160,934 cm
For area, use pi*D^2/4,converted to cm^2
A = 5.067 cm^2
R = 0.0557 ohms
R = Length/[area*conductivity]
For length, use 1 mile converted to centimeters: 160,934 cm
For area, use pi*D^2/4,converted to cm^2
A = 5.067 cm^2
R = 0.0557 ohms
1 answer