I can't derive it properly even though it should be easy:(adsbygoogle = window.adsbygoogle || []).push({});

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.

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# Drude formula

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