Determine the cross-sectional area of an aluminum wire 100 meters long with a resistance of 2.8 ohms.
| May 2, 2021 | education
These tasks: l (length of the taken aluminum wire) = 100 m; R (resistance) = 2.8 ohms.
Reference values: ρ (electrical resistivity of aluminum at 20 ºС) = 0.028 Ohm * mm2 / m.
The cross-sectional area of the taken aluminum wire is expressed from the formula: R = ρ * l / S, whence S = ρ * l / R.
Let’s calculate: S = 0.028 * 100 / 2.8 = 1 mm2.
Answer: The taken aluminum wire has a cross section of 1 mm2.
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