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Dependence of resistance on temperature

  1. Dec 26, 2014 #1
    1. The problem statement, all variables and given/known data
    The book says the formula is accurate as long as t and α are small. i understand about t but why also α?

    2. Relevant equations
    Resistance R: ##R=R_0(1+\alpha t)##

    3. The attempt at a solution
    According to the graph (see picture) α is the slope and is suited for every material, so only t makes a difference, because of the limited linear approximation
     

    Attached Files:

  2. jcsd
  3. Dec 26, 2014 #2

    haruspex

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    I agree with you. We could expand the approximation to more terms to make it more accurate: ##R=R_0(1+\alpha t + \beta t^2 + ...)##. The approximation ## R=R_0(1+\alpha t)## is reasonable if t is small and ##\beta## not large; it has nothing to do with ##\alpha##.
     
  4. Dec 27, 2014 #3
    Thanks
     
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