How Does Temperature Affect the Resistivity of a Copper Conductor?

In summary, Bill Hiker conducts an experiment in Death Valley where he applies a certain voltage to a copper wire and measures a current of 1.000 A at a temperature of 51.0°C. He then repeats the experiment in Antarctica where the temperature is -88.0°C and the wire's shape and size remain unchanged. The question is how to find the temperature To, with no mention of whether outside sources can be used. Without additional information, it is not possible to determine the value of To using only the data provided in the question.
  • #1
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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  • #2
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.
 

Related to How Does Temperature Affect the Resistivity of a Copper Conductor?

What is resistivity of a conductor?

Resistivity of a conductor is a measure of its ability to resist the flow of electric current. It is denoted by the Greek letter rho (ρ) and is measured in ohm-meters (Ω∙m).

How is resistivity different from resistance?

Resistivity is an intrinsic property of a material, whereas resistance is a measure of how much a particular material resists the flow of current. Resistivity takes into account the dimensions of the material, while resistance does not.

What factors affect the resistivity of a conductor?

The resistivity of a conductor is affected by several factors, including the type of material, temperature, and cross-sectional area. Generally, materials with higher resistivity have more difficulty conducting electricity.

How do you calculate the resistivity of a conductor?

The resistivity of a conductor can be calculated by dividing the resistance of the material by its cross-sectional area and length. This is known as Ohm's Law and is expressed as ρ = (RA)/L, where R is resistance, A is cross-sectional area, and L is length.

Why is resistivity important in electrical engineering?

Resistivity is an important concept in electrical engineering because it helps determine the efficiency and performance of electrical systems. It also allows engineers to select the appropriate materials for different applications, depending on their resistivity values.

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