Drift velocity : It is the average velocity acquired by the free electrons superimposed over the random motion in the direction opposite to electric field and along the length of the metallic conductor.
Let n = number of free electrons per unit volume, vd = Drift velocity of electrons Total number of free electrons passing through a cross section in unit time
N/t = Anvd
So, total charge passing through a cross section in unit time
i.e., current, l = Q/t = N/t = Anevd.