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Calculate the resistance of a 2 km length of aluminum overhead power cable if the cross sectional area of the cable is 100mm². Take the resistivity of aluminum to be 0.03 X10^—6 ohms ?
Calculate the resistance of a 2 km length of aluminum overhead power cable if the cross sectional area of the cable is 100mm². Take the resistivity of aluminum to be 0.03 X10^—6 ohms ?
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Mar 23
The resistance of a conductor can be calculated using the formula:
R = ρ * L / A
Where: R = resistance ρ = resistivity of the material (0.03 X 10^-6 ohms) L = length of the conductor (2 km = 2000 m) A = cross sectional area of the conductor (100 mm² = 0.0001 m²)
Plugging in the values:
R = (0.03 X 10^-6) * 2000 / 0.0001 R = 0.00006 / 0.0001 R = 0.6 ohms
Therefore, the resistance of a 2 km length of aluminum overhead power cable with a cross sectional area of 100mm² is 0.6 ohms.