As temperature of a conductor increases why does the ratio of

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Discussion Overview

The discussion revolves around the relationship between the conductivity and resistivity of conductors as temperature increases. Participants explore theoretical aspects, definitions, and experimental observations related to these properties.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Homework-related

Main Points Raised

  • One participant questions the relationship between conductivity and resistivity, asking how the two quantities are related.
  • Another participant challenges whether the observed behavior applies to all conductors.
  • A suggestion is made to move the discussion to the Solid State forum for deeper exploration.
  • One participant claims that the ratio of conductivity to resistivity varies as the square of the conductivity, mentioning experimental verification of this relationship.
  • Another participant introduces the idea that conductance is the inverse of resistance, suggesting that different definitions can simplify certain problems.
  • A request for assistance in calculating resistivity from relaxation time is presented, indicating a practical application of the discussion.

Areas of Agreement / Disagreement

Participants express uncertainty about the applicability of the relationship to all conductors, and there are competing views regarding the definitions and interpretations of conductivity and resistivity. The discussion remains unresolved with multiple perspectives presented.

Contextual Notes

There are limitations regarding the assumptions made about the behavior of conductors at varying temperatures, and the discussion does not resolve the mathematical relationships or definitions involved.

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as temperature of a conductor increases why does the ratio of conductivity to resistivity increase ?
 
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1. How are the two quantities related?
2. Are you sure this applies to ALL conductors?
 


This is a really tough question! I suggest you post it in the Solid State forum.
 


This ratio varies as the square of the conductivity.

On the other hand the product is constant. I know a person who has verified this experimentally. The data was very impressive - a straight line went exactly through all the experimental points in the R against 1/C plot - you don't often see data like that and he was very proud of this. Science is all about experiment after all. (It wasn't conductivity actually but something similar.)
 
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Isn't it just a matter of definition? Conductance is the inverse of resistance and there is a whole 'upside down' set of all the quantities we are more familiar with. Some problems are much easier to solve by choosing the appropriate set to use.
 
Resistivity from relaxation time

Given the following data on copper, how do i calculate the resistivity?

Relaxation time: 2.50e10-14s
Density: 8940Kgm-3
molar mass: 63.5g

is there an equation for it.
 

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