Find the mass of the copper contact wire of the tram network resistance of 0.2 Ohm.

| January 30, 2021 | education

Find the mass of the copper contact wire of the tram network resistance of 0.2 Ohm. Wire cross-sectional area 85 mm ^ 2 copper density 8.9 * 10 ^ 3 kg / m ^ 3, resistivity 0.017 * 10 ^ -6 ohm * m

Wire resistance:
R = ρ * l / S, where R is the resistance of the copper contact wire (R = 0.2 Ohm), ρ is the resistivity of copper (ρ = 0.017 * 10 ^ -6 Ohm * m), l is the length of the wire, S is cross-sectional area of the wire (S = 85 mm ^ 2 = 85 * 10 ^ -6 m ^ 2).
l = S * R / ρ = (85 * 10 ^ -6) * 0.2 / (0.017 * 10 ^ -6) = 1000 m.
We calculate the mass of the wire using the formula:
m = ρm * V, where ρm is the copper density (ρm = 8900 kg / m ^ 3), V is the volume of the wire (V = l * S).
m = ρm * V = ρ * l * S = 8900 * 1000 * 85 * 10 ^ -6 = 756.5 kg.
Answer: The mass of the wire is 756.5 kg.



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