Question

Show that the electric current in a wire is directly proportional to the drift velocity of electron in that wire

Answer 1

N=nAl

t=l/Vd

I=q/t=Ne/t

=nAle/l/Vd=neAVd

Clearly electroc current on a wire is directly proortional to drift velocity of free electrons

Answer 2

Answer:

The electric current in any wire is directly proportional to the drift velocity of the electron in that wire.

Explanation:

We have to prove that the electric current in a wire is directly proportional to the drift velocity of the electron in that wire.

Numerically, $I=-n e A \tau d$

Therefore, the current density, $J=\dfrac{I}{A}$

$\Rightarrow \mathrm{J} \frac{\mathrm{I}}{\mathrm{A}}=\mathrm{d}\\\Rightarrow \mathrm{J} \alpha \mathrm{D}$

We can now say that the electric current in a wire is directly proportional to the drift velocity of the electron in that wire.