Calculating resistivity from relaxation time.

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Discussion Overview

The discussion revolves around calculating the resistivity of copper using given parameters such as relaxation time, density, and molar mass. Participants explore the relationship between conductivity and resistivity, as well as the implications of using copper in a Hall probe setup.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Homework-related

Main Points Raised

  • One participant asks how to calculate resistivity from provided data on copper, specifically mentioning relaxation time, density, and molar mass.
  • Another participant provides the formula for conductivity, \(\sigma = \frac{ne^2 \tau}{m}\), and suggests that it can be used to derive resistivity.
  • A participant shares their calculated resistivity value of 1.6e-3 Ohm·m and questions its correctness.
  • Another participant inquires about calculating the Hall coefficient and magnetic field for copper when using it in a Hall probe, providing specific measurements such as thickness, Hall voltage, and current.
  • A participant expresses confusion regarding the absence of molar mass in the conductivity equation.

Areas of Agreement / Disagreement

Participants have not reached a consensus on the correctness of the calculated resistivity value, and there is uncertainty regarding the role of molar mass in the equations discussed. Multiple viewpoints on the calculations and their implications remain present.

Contextual Notes

There are limitations regarding the assumptions made in the calculations, particularly concerning the definitions of variables and the applicability of the equations to the specific scenario of copper. The discussion does not resolve these aspects.

Who May Find This Useful

This discussion may be useful for students or individuals interested in electrical properties of materials, particularly in the context of resistivity calculations and Hall effect measurements.

solas99
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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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the formula for the conductivity \sigma is given by

\sigma = \frac{ne^2 \tau}{m} where n is the density, e is the electrical charge, \tau is the relaxation time and m mass of the electron. From here you should be able to find the resistivity.
 
i did the calculation, i got: 1.6e-3 Ohmm is that correct, or am i missing something.
thanks for quick reply
 
If we used the same metal (copper) in hall probe to measure the magnetic field, how can i calculate the hall coeficient of copper and the magnetic field acting on copper.

thickness 100um
hall voltage 0.1uV
current 1.5 A
 
i am a bit confused, is there a reason why the molar mass isn't in the equation?
 

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