Question

Derive relation between electric current and current density

Answer 1

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Answer 2

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Relation between current I and current density j :
we know that current I=neAVd--> 1
and drift velocity Vd =eEt/m (t=torque)--2
substituting eq 2 in eq 1 we get ,
I=neA(eEt/m)
I/A=(n$e^{2}$t/m)E
j=σE .   ( n$e^{2}$t/m)=σ)