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Two wires are identical, except that one is aluminum and one is copper. The aluminum wire has a resistance of 0.263Ω. What is the resistance of the copper wire? Take the resistivity of copper to be 1.72 x 10^-8 Ω·m, and that of aluminum to be 2.82 x 10^-8 Ω·m.
Two wires are identical, except that one is aluminum and one is copper. The aluminum wire has a resistance of 0.263Ω. What is the resistance of the copper wire? Take the resistivity of copper to be 1.72 x 10^-8 Ω·m, and that of aluminum to be 2.82 x 10^-8 Ω·m.
Theresistanceof the copper wire is0.161 Ω. The resistance of a material depends on various factors, including its length,cross-sectional area,andtemperature.What is Resistance?Resistanceis a measure of how much a material opposes the flow of electric current. It is defined as the ratio of the voltage applied to a conductor to thecurrentflowing through it, and is measured inohms (Ω).Materials with high resistance are poor conductors ofelectricity, while materials with low resistance aregood conductors.We can use the formula for resistance of a wire:R = (ρ * L) / Awhere R is resistance, ρ isresistivity, L is length of the wire, and A is its cross-sectional area.We know that the wires are identical, so they have the same length and cross-sectional area. Therefore, their resistances are proportional to theirresistivities:R_aluminum / R_copper = ρ_aluminum / ρ_copperWe can rearrange this to solve for the resistance of the copper wire:R_copper = R_aluminum * ρ_copper / ρ_aluminumPlugging in the given values, we get:R_copper = 0.263 Ω * (1.72 x 10^-8 Ω·m) / (2.82 x 10^-8 Ω·m) = 0.161 ΩTherefore, theresistanceof the copper wire is0.161 Ω.Learn more aboutResistancefrom given linkbrainly.com/question/17563681#SPJ1...