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A copper wire has a resistance of 0.500$\Omega$ at $20.0^{\circ} \mathrm{C}$ and an iron wire has a resistance of 0.525$\Omega$ at the same temperature. At what temperature are their resistances equal?

$T=-170 \mathrm{C}$

Physics 102 Electricity and Magnetism

Chapter 20

Electric Current, Resistance, and Ohm's Law

Current, Resistance, and Electromotive Force

Rutgers, The State University of New Jersey

Simon Fraser University

Hope College

University of Winnipeg

Lectures

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So for this problem, we have to kind of materials. Ah, the Culpepper and Ah iron. So for the Culpeper, we have Ah Arfa equal Cocu equal, huh? 3.9 times. 10 to the negative third. Ah, her degrees. And for the iron we have our fun equal 5.0 times. 10 to the *** that the degrees. And you can actually Ah! Ah! So we also know that at the room temperature table to 20 cells is degrees Ana Cooper, Resistance equal. Ah, let's see, It's Ah, 0.5 homes and iron is a point 5 25 homes, so we can actually get an equation. So the copper, uh, corporal resistance at room temperature And the times one plus our fun times down a t it quo. So this is our first. See you okay? Equal R f e time plus our father, Effie Times 30. Okay. And you can sell for 30 based on this relation. And you can actually see that at their Latika in there gave 37 degrees and then it is defined as t minus 20 degrees. Okay. So you can tend to the final Temperature is negative. 15 cents, six degrees. So at the negative 17 seventies degrees, the couple wire and the iron wire have they have the same distance.

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