Drift velocity varies with the intensity of electric field as per the relation
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Applying an electric field adds to this random motion a small net flow in one direction; this is the drift. Drift velocity is proportional to current. In a resistive material it is also proportional to the magnitude of an external electric field. Thus Ohm's law can be explained in terms of drift velocity.
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Current , I = neAv d
Current density , J = AI = nev d
Also , current density J is related to electric field Eby the relation
J=σE
Therefore ,
nev d = J=σE
Hence , v d αE .
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