How Does Temperature Affect Copper Wire Resistivity?

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SUMMARY

The discussion focuses on the effect of temperature on the resistivity of copper wire, specifically addressing a scenario where the temperature increases from 20°C, resulting in a 12% rise in resistivity. The relevant equation used is R = Rref[1 + α(T - Tref)], where Rref is the initial resistance, α is the temperature coefficient of resistivity, and Tref is the reference temperature. Participants seek to determine the final resistance when the initial resistance is 10 Ohms, highlighting the mathematical confusion surrounding the application of the formula.

PREREQUISITES
  • Understanding of electrical resistance and Ohm's Law
  • Familiarity with the temperature coefficient of resistivity
  • Basic algebra skills for manipulating equations
  • Knowledge of the properties of copper as a conductor
NEXT STEPS
  • Research the temperature coefficient of resistivity for copper
  • Learn how to apply the resistivity formula in practical scenarios
  • Explore the relationship between temperature and resistance in different materials
  • Study the effects of temperature on electrical conductivity in metals
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Students studying physics or electrical engineering, educators teaching concepts of resistivity, and professionals involved in materials science or electrical design.

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Homework Statement


Initially, copper wire is 20oC then raises the temperature of the wire casing the resistivity up 12%, find the temperature at the final.

Homework Equations


R=Rref[1+α(T-Tref)]

The Attempt at a Solution


I am completely confused with this mathematics problem,Stucking with the final resistivity ( R ) in the equation
 
Physics news on Phys.org
If the initial resistance is 10 Ohm, what is the final resistance?
If the initial resistance is R0, what is the final resistance?
 

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