Relation Between Drift Velocity And Current

Answer

drift velocity =`v_(d)`
number of free `e^(-)` per unit volume =n
length of conductor =l
cross sectional area of conductor=A
So total free electrons in given conductor =n(lA)
Total charge `q= n(lA)e`, Time `t=(l)/(v_(d))`
Now current `l=(q)/( t )=(nlAe)/((l//v_(d))) `, where `t=l//v_(d)`
`= neAv_(d) rArr I=neAv_(d)`