Relation between drift velocity and relaxation time derivation 12 class physics
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Drift velocity is the small average velocity of free electron along the direction of positive potential and is denoted by
In conductor average time between two consecutive collisions of electrons with ions at the lattice sites is called relaxation time and is denoted by τ.
We know F = m.a
and also F = q.E = -e.E
m.a = -e.E
a = .....(i)
We also know is average velocity and hence is equal to
Note:- It is assumed that electron after collision forgets it’s past motion and starts a fresh with zero velocity
= a. τ .....(ii)
Combining (i) and (ii)
we get = .E.τ
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