Calculating Resistance(not at RT) using the Resistivity Formula

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SUMMARY

The discussion focuses on calculating resistance using the resistivity formula R=ρL/A, particularly under non-ambient temperature conditions. The user, Jozers, encountered systematic errors in their resistance measurements due to a room temperature of 28°C, which deviated from standard conditions. They seek clarification on the variables in the modified formula R=(L/A)ρ=(L/A)ρ0(α(T - T0)+1), specifically regarding the properties of Constantan alloy. Relevant resources for Constantan's thermal properties were shared, including links to Goodfellow and HyperPhysics.

PREREQUISITES
  • Understanding of the resistivity formula R=ρL/A
  • Familiarity with temperature coefficients of resistance
  • Knowledge of material properties, specifically for Constantan alloy
  • Basic principles of systematic errors in experimental physics
NEXT STEPS
  • Research the thermal coefficient of resistance (α) for Constantan alloy
  • Explore the derivation and application of the modified resistance formula R=(L/A)ρ=(L/A)ρ0(α(T - T0)+1)
  • Investigate the impact of temperature on electrical resistance in conductive materials
  • Review experimental techniques for measuring resistance at varying temperatures
USEFUL FOR

This discussion is beneficial for physics students, electrical engineers, and anyone conducting experiments involving resistance measurements and temperature effects on materials.

Jozers
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For my coursework "Resistance in a Wire" I used the R=ρL/A formula to predict what resistance I should get. Yet, as it was a hot day:mad: when i did the experiment the Room Temperature was not ambient but 28°C. Therefore my there was a small systematic error with my results (they were consistantly higher than predicted). I wish to show that this error was due to the temperature and would like to use the formula

R=(L/A)ρ=(L/A)ρ0(α(T - T0)+1)

I'm think that ρ0 is the residual resistance, α is the thermal resistance and T0 is room temperature. Could someone just clarify this? And where could i find out these properties for "Constantan" Alloy? As iv'e been unsuccessful of find these on the internet.

I would also be useful if someone knows of and example (which include the Temp. part) explaining how to use this formula, it should be easy to figure out but any help would be great. :smile:

Thanks
Jozers
 
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Thank you Astronuc.
 
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