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Asked by Rebel Last Modified
Answer 
Kismis Meshram
Maths specialist
When the conductor is subjected to an electric field E then each electron have force
F=-eE
And acquires an acceleration a =F/m=-eE/n----(1)
m=mass of electrons
e=charge
E=electric field
The average time between two consicutive collision is known as relaxation time of electron
τ=τ1+τ2+------τn/n-------(2)
We know that V=u+at equation of motion
The drift velocity Vd is Vd=v1+v2+-----vn/n
Vd=(u1+u2---+-un)+a(τ1+τ2+-----+τn)/n
Vd=0+a(τ1+τ2----+τn)/n
Average thermal velocity =0
Vd=at. Vd=-(eE/m)τ----from(1)and(2)
This is the expreation for drift velocity.
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