Question

The electron drift arises due to the force experienced by electrons in the electric field inside the conductor.

But force should cause acceleration.

Why then do the electrons aquire a steady average drift speed?

Answer 1

(1)Each free electron does accelerate increasing its drift speed after collision but starts to accelerate and increases its drift speed

(2)again only to suffer a collision again and so on on the average, thereofre electrons acquire only a drift speed.

We know that

$F=ma \\F=qE$

Both equation equal

$ma=qE$

$a=\frac{qE}{m}$

$q=-e$

$a=\frac{-eE}{m}$

Drinft velocity

$J=neAv_d$

$V_d=\frac{J}{neA}$