Relationship between resistivity and Mathiessen's Rule

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SUMMARY

The discussion centers on calculating the resistivity of an alloy using Mathiessen's Rule. The alloy exhibits a resistivity of 1.2e-6Ωm at 300K, which increases by 10% to 1.32e-6Ωm at 973K. By applying Mathiessen's Rule, which states that the total resistivity is the sum of the resistivities due to different scattering mechanisms, the resistivity due to impurities can be isolated and calculated. This approach provides a clear method for understanding the contributions of various factors to the overall resistivity of the alloy.

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  • Understanding of resistivity and its measurement in materials
  • Familiarity with Mathiessen's Rule and its application
  • Basic knowledge of temperature effects on material properties
  • Ability to perform calculations involving percentages and resistivity
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  • Study the derivation and applications of Mathiessen's Rule in materials science
  • Explore the relationship between temperature and resistivity in metals
  • Investigate different scattering mechanisms affecting resistivity
  • Learn about the impact of alloy composition on electrical properties
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Students and professionals in materials science, electrical engineering, and physics who are interested in the electrical properties of alloys and the effects of impurities on resistivity.

Lindoc
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This question has bogged me down for hours. Please help.

An alloy of metals is found to have a resistivity of 1.2e-6Ωm at 300K. When it is heated to a temperature of 973K, the resistivity is found to increase by 10 per cent. Assuming Mathiessen's rule to hold good for the alloy, find its resistivity due to inpurities scattering alone.
 
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Welcome to PF!

Hi Lindoc! Welcome to PF! :wink:

Show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:

(Also, state Mathiessen's rule so we don't have to look it up! :redface:)
 

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