How Does Temperature Affect the Resistivity of a Copper Conductor?

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The discussion focuses on how temperature impacts the resistivity of a copper conductor, specifically comparing measurements taken at extreme temperatures in Death Valley and Antarctica. Bill Hiker measures a current of 1.000 A at 51.0°C and seeks to determine the current at -88.0°C using the resistivity formula. A key question arises regarding the reference temperature (To) needed for calculations, with uncertainty about whether standard literature values can be used or if only provided data is acceptable. The conversation highlights the need for sufficient data to solve the problem accurately. Ultimately, the lack of clear information on To complicates the ability to calculate the current at the lower temperature.
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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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