How Does Temperature Affect the Resistivity of a Copper Conductor?

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SUMMARY

The discussion centers on the effect of temperature on the resistivity of a copper conductor, specifically analyzing a scenario where a copper wire carries a current of 1.000 A at 51.0°C and the expected current at -88.0°C. The resistance formula used is R = R0 [1 + a(Tc — To)], where To is the reference temperature. Participants debate whether standard values from literature can be used to determine To, concluding that the provided data is insufficient for a definitive answer.

PREREQUISITES
  • Understanding of electrical resistance and Ohm's Law
  • Familiarity with the temperature coefficient of resistance (α)
  • Knowledge of the resistivity formula for conductors
  • Basic principles of thermodynamics related to materials
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  • Study the derivation and application of the resistivity formula
  • Explore standard reference values for resistivity and temperature effects
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cmilho10
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While taking photographs in Death Valley on a day when the temperature is 51.0°C, Bill Hiker finds that a certain voltage applied to a copper wire produces a current of 1.000 A. Bill then travels to Antarctica and applies the same voltage to the same wire. What current does he register there if the temperature is -88.0°C? Assume that no change occurs in the wire's shape and size.



At the low temperature T we write R = R0 [1 + a(Tc — To)] where To =?
tW AV
At the high temperature Th, Rh = = R [1 + a(Th — To)]

My question is how do i find what To is?
 
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Are you allowed to use standard values from literature ? Or must you only use data provided in the question ?

If it is the latter, then there isn't sufficient data in the question as posted by you.
 

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