Dependence of resistance on temperature

  • Thread starter Karol
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  • #1
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Homework Statement


The book says the formula is accurate as long as t and α are small. i understand about t but why also α?

Homework Equations


Resistance R: ##R=R_0(1+\alpha t)##

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
 

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  • #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##.
 
  • #3
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Thanks
 

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