Page "Ohm's law" Paragraph 23

The drift velocity then determines the electric current density and its relationship to E and is independent of the collisions.

Drude calculated the average drift velocity from p = − eEτ where p is the average momentum, − e is the charge of the electron and τ is the average time between the collisions.

Since both the momentum and the current density are proportional to the drift velocity, the current density becomes proportional to the applied electric field ; this leads to Ohm's law.