Question
Suppose you are experimenting to investigate the temperature dependence of the resistance of a wire made of an alloy. You assume that the textbook relation
Suppose you are experimenting to investigate the temperature dependence of the resistance of a wire made of an alloy. You assume that the textbook relation R=R0(1+T)=0(1+) holds, where R00 is the resistance at 0C,0, is the temperature coefficient of resistance, and R is the resistance at temperature T. The data obtained are as follows:
T(c10,20,30,40,50,60,70,80,90,100(10,20,30,40,50,60,70,80,90,100 R()16,15.9,17.5,18.0,19.2,18.9,20.2,21.0,22,23()16,15.9,17.5,18.0,19.2,18.9,20.2,21.0,22,23
Neglect the uncertainty in the measurement of temperature.
Using the method of least squares, find the best values of R00 and . State the results in a scientifically meaningful way.
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