Question

Derive an expression for conductivity in terms of mobility

Answer 1

Derive an expression for conductivity in terms of mobility
μe = vd / E = e E t /m E = e t / m
We have derived the relation of resistance previously. (check your other answer)

R = m L / ne2 A t

From this we know

Resistivity ρ = m / ne2 t

And
Conductivty

σ = ne2 t/m = ne (et/m)

Answer 2

Mobility is drift velocity per unit electric field. Let us denote mobility of electron with μe
μe = vd / E = e E t /m E = e t / m
We have derived the relation of resistance previously. (check your other answer)
R = m L / ne2 A t
From this we know
Resistivity ρ = m / ne2 t
And
Conductivty
σ = ne2 t/m = ne (et/m)
σ = ne μe