What voltage must be applied to an aluminum wire 2m long so that the current in it is 2A?
July 1, 2021 | education
| What voltage must be applied to an aluminum wire 2m long so that the current in it is 2A? Cross-sectional area of wire 0.2mm²
l = 2 m.
I = 2 A.
S = 0.2 mm2.
ρ = 0.028 Ohm * mm2 / m.
U -?
Ohm’s law for a section of a chain: U = I * R.
We express the resistance of an aluminum conductor by the formula: R = ρ * l / S, where ρ is the resistivity of aluminum, l is the length of the wire, S is the cross-sectional area of the wire.
U = I * ρ * l / S.
U = 2 A * 0.028 Ohm * mm2 / m * 2 m / 0.2 mm2 = 0.56 V.
Answer: voltage U = 0.56 V must be applied to the aluminum wire.
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