The drift velocity of electrons for a conductor connected in an...

Drift velocity of electrons through a conductor kept in an external electric field is given by ${V}_{d} = - \dfrac{eE}{m}τ = - \dfrac{eV}{ml}τ$

Where, $e =$magnitude of charge on electron, $m =$mass of electron, $E =$external electric field and $τ =$average relaxation time.

As, drift velocity is independent of area. So, the new drift velocity of electrons will be ${V}_{d}$.