- #1
swap1996
- 10
- 0
In the derivation of drift velocity i have seen two variations and want to know which one's correct.
- s=ut +[itex]\frac{1}{2}[/itex]a[itex]t^{2}[/itex]
Assume that the drift velocity of any electron in any conductor is :
[itex]v_{d}[/itex]=l/t
Due to the electric field the acceleration of electrons in any conductor is:
a=eE/m
Now the distance traveled by an electron after a long time (initial thermal velocity = 0)
l=[itex]\frac{at^{2}}{2}[/itex]
the time between the collisions is τ ∴
l=[itex]\frac{eEτ^{2}}{2m}[/itex]
thus the velocity is
[itex]v_{d}[/itex]=[itex]\frac{eEτ}{2m}[/itex]
- In another proof i saw the author using v=u+at⟹[itex]v_{d}[/itex]=[itex]\frac{eEτ}{m}[/itex]
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