Drive the expression for drift velocity of free electrons in a conductor?

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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...
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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. read less
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