What can be the cross-sectional area of a copper wire 10 m long if its resistance should not exceed 1 Ohm to avoid overheating?
| February 26, 2021 | education
L = 10 m.
ρ = 0.017 Ohm * mm2 / m.
R = 1 ohm.
S -?
The resistance of a homogeneous cylindrical conductor R is determined by the formula: R = ρ * L / S, where ρ is the specific resistance of the material from which the conductor is made, L is the length of the conductor, S is the cross-sectional area of the conductor.
S = ρ * L / R.
According to the table of specific resistance of substances, the specific resistance of copper is ρ = 0.017 Ohm * mm2 / m.
S = 0.017 Ohm * mm2 / m * 10 m / 1 Ohm = 0.17 mm2.
Answer: the area of the transverse copper conductor should not exceed S = 0.17 mm2.
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