Determine the resistance and length of a copper wire weighing 89g and a cross section of 0.1 mm2.

Initial data: m (mass of copper wire) = 89 g = 0.089 kg; S (cross-sectional area of copper wire) = 0.1 mm ^ 2 = 0.1 * 10-6 m2.

Reference data: ρ (resistivity of copper, n.o.) = 0.017 Ohm * mm2 / m; ρm (copper density) = 8900 kg / m3.

1) Determine the volume of copper wire: V = m / ρm = 0.089 / 8900 = 0.00001 m3.

2) Calculate the length of the copper wire: l = V / S = 0.00001 / (0.1 * 10-6) = 100 m.

3) Let’s calculate the resistance of the copper wire: R = ρ * l / S = 0.017 * 100 / 0.1 = 17 Ohm.



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