What is the electron mobility of copper?

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    Electron Mobility
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Homework Help Overview

The discussion revolves around calculating the electron mobility of copper, given its electrical conductivity, atomic weight, charge of the electron, and density. The problem is situated within the context of an electronics lab course.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the relationship between conductivity and mobility, referencing the formula σ = nqμ. There are attempts to clarify the values for conductivity, number density of electrons, and charge of the electron. Some participants express uncertainty about the calculations and the appropriate units to use.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the problem. Some guidance has been offered regarding the relationship between the variables involved, and there is an emphasis on ensuring consistent units for calculations. However, there is no explicit consensus on the correctness of the calculations presented.

Contextual Notes

Participants note discrepancies in the charge of the electron and the need to convert units for consistency. There is also mention of the assumptions made regarding the number of free electrons per copper atom.

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The electrical conductivity of copper is 5.96 x 10^7 S/m; its atomic weight is
65.546 AMU; the charge on the electron is 1.06 x 10-19 coulombs; the density of
copper is 8.92 g/cm^3. Assume there is one free electron per copper atom. Calculate
the mobility in cm^2/volt-sec.

This is a question from my electronics lab course and i am not sure how to even start with it.
This problem probably isn't that difficult but i have no idea what equations to use since my prof
thinks that everyone knows much more than they do and rarely tells us what equations to use.
Any help with this would be really appreciated.
 
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Anyone willing to help?
 
I'm learning this alongside with you:

<< There is a simple relation between mobility and electrical conductivity. Let σ = conductivity, n = number density of electrons, and μ = mobility. Then

σ = nqμ.

This formula is valid when the conductivity is due entirely to electrons. >>

http://en.wikipedia.org/wiki/Electron_mobility
 
rude man said:
I'm learning this alongside with you:

<< There is a simple relation between mobility and electrical conductivity. Let σ = conductivity, n = number density of electrons, and μ = mobility. Then

σ = nqμ.

This formula is valid when the conductivity is due entirely to electrons. >>

http://en.wikipedia.org/wiki/Electron_mobility


So i did the calculations and got 68.61 cm^2/V s, is that correct?
 
Didn't do them myself. What were your σ, n and q?
 
rude man said:
Didn't do them myself. What were your σ, n and q?

σ and q are in the question and i calculated n by converting the density of copper to the density of electrons and got 8.195 x 10^22 electrons/cm^3
 
We got problems.

Starting with the charge of the electron not being 1.06e-19 but 1.60e-19 C.

Then, you're mixing units. You must express all quantities in one consistent system of units. Personally I'm an SI man but there are others, e.g. the cgs system the wacko theoretical types prefer :-). Grams and cm are cgs, but the conductivity is given in S/m which is SI. I suggest you convert to SI for everything. Mainly because if I am to check your calculations I want to do it in SI. Cgs makes me nervous.

n is number of Cu atoms per m^3. Convert amu of 1 Cu atom to kg, then knowing the density of Cu you can compute the number of Cu atoms in 1 m^3 volume = n.
 

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