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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 ?
Joy Nalube
Mar 23
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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ChatGPT
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.
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.
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