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Drude formula 
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#1
Feb514, 09:30 AM

P: 1,005

I can't derive it properly even though it should be easy:
From Newtons 2nd law: m dv/dt = eE => v(t) = meEt + v(0) (the latter will average out when taking average) Now the Drude assumption: An electron will on average travel a time τ before being scattered and starting its motion in the direction of E all over. Thus this means, I think, that on average an electron will travel with a velocity equal to <v> = meEτ/2 And one can then multiply by electron density to get the Drude formula. Problem is the conductivity should not have the factor ½. Am I not right in thinking that the electron on average will travel at the velocit given above. 


#2
May2914, 11:21 PM

P: 109

yes, this is an error is the drude formula. I found it many years back too. Apparently it's well known. CtrlF error on the wiki article
http://en.wikipedia.org/wiki/Drude_model 


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