What Temperature Makes Copper and Tungsten Share the Same Resistivity?

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SUMMARY

The discussion centers on determining the temperature at which copper and tungsten exhibit the same resistivity, specifically at 20 degrees Celsius. The relevant equation used is ρ = ρ0[1 + α(T - T0)], where ρ represents resistivity, ρ0 is the resistivity at a reference temperature T0, and α is the temperature coefficient of resistivity. Participants emphasize the need to identify the correct values for ρ0 and α for both metals to solve the problem effectively. The key challenge is selecting the appropriate temperature coefficient α for each metal, which is crucial for accurate calculations.

PREREQUISITES
  • Understanding of electrical resistivity and its temperature dependence
  • Familiarity with the equation ρ = ρ0[1 + α(T - T0)]
  • Knowledge of the resistivity values for copper and tungsten at 20 degrees Celsius
  • Ability to interpret and utilize temperature coefficients of resistivity
NEXT STEPS
  • Research the temperature coefficients of resistivity (α) for copper and tungsten
  • Explore tables or databases that provide resistivity values for various metals at different temperatures
  • Practice solving problems involving temperature dependence of resistivity using the equation provided
  • Investigate the physical principles behind resistivity changes in metals with temperature variations
USEFUL FOR

Students studying physics or electrical engineering, particularly those focusing on materials science and electrical properties of metals.

langenase
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Homework Statement



I'm supposed to estimate at what temp. copper will have the same resistivity as tungsten at 20 deg. C.

Homework Equations



The only equation I think is relevant is
p=p0[1+alpha(T-T0)]


The Attempt at a Solution



I know the resistivity of both copper and tungsten at 20 degrees C. I just don't know what I should do about the resistivity, p0, at temperature, T0 since I don't know either of those quantities.
I can't cancel those variables out when I set p(tungsten)=p(copper) so I'm not sure what to do.
 
Last edited:
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langenase said:

Homework Equations



The only equation I think is relevant is
p=p0[1+alpha(T-T0)]


The Attempt at a Solution



I know the resistivity of both copper and tungsten at 20 degrees C. I just don't know what I should do about the resistivity, p0, at temperature, T0 since I don't know either of those quantities.
I can't cancel those variables out when I set p(tungsten)=p(copper) so I'm not sure what to do.

T0 is whatever temperature you want to use as a reference. Since you have resistivities for these metals at 20º C., that will be your T0. You want to find the temperature at which copper has the same resistivity as tungsten at 20ºC., so which resistivity goes where in the equation you gave?

The only real issue now is: what value are you supposed to use for alpha, which is the coefficient for the rate at which resistivity changes with temperature (it would have units of ohm-m/C (or K)? Are you working from tables in a text?
 

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