derive the expression for drift velocity in an electric field.

Let the electron have charge e,  mass m and kept in a electric field E inside a conductor.

The force experienced by the electron F = eE

Acceleration due to the force   = eE/m

Now displacement s due to the acceleration s = ┬Żat2

 Average velocity  vd  (drift velocity     =  Total displacement / total time taken

 = s/t

   vd =  eE/2m

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