Question

How to derive ohms law in the form V=IR from the form J=(n(e^2)ET)/m?

Answer 1

Let us derive the  Ohm’s law which is basically the relation between current density (J), conductivity (σ) and electric field (E)

As current is related with drift velocity by relation

I=n Tev_d

I = n Te(eE/m)   ( v_{d =drift velocity} because v_d=eE/m)

I   = nTe²E/m

Or                  I/A=ne² E/m                            (1)

As current density is given by J=I/A (Refer article of Current Density,

J= (n(e^2)TE)/m