nce of 0.49 Ω at 20.0°C, and an iron wire has a resistance of 0.57 Ω at the same temperature.  a) At what temperature, in degrees Celsius, are their resistances equal? The temperature coefficient of copper is 3.9 * 10^-3 (degrees Celsius)^-1, while t

Physics for Scientists and Engineers: Foundations and Connections
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Chapter28: Current And Resistance
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A copper wire has a resistance of 0.49 Ω at 20.0°C, and an iron wire has a resistance of 0.57 Ω at the same temperature. 

a) At what temperature, in degrees Celsius, are their resistances equal? The temperature coefficient of copper is 3.9 * 10^-3 (degrees Celsius)^-1, while that for iron is 5.0 * 10^-3 (degrees Celsius)^-1.

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Step 1

We know that we have given that the A copper wire has a resistance of 0.49 Ω at 20.0°C, and an iron wire has a resistance of 0.57 Ω at the same temperature. 

let the resistance of the copper wire is R1 and temperature T1 = 20o

The resistance of the iron wire is R2 at the same temperature T1= 20oC

Now We know that the formula of the resistance in terms of the temperature 

R= R01+αTR= R01+αT2-T1

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