A cylindrical resistance is connected across battery $\varepsilon $ . Cylinder has uniform free electron density, mid part of cylinder has larger radius as shown in figure. Then $V_d$ (drift velocity) $V/S$ (distance across the length of the resistance)
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$\mathrm{i}=\mathrm{JA}$
$\mathrm{J}=\mathrm{neVd}$
$\mathrm{i}=$ $\mathrm{Ane}$ $\mathrm{Vd}$
$\mathrm{i}=$ constant
$\mathrm{AVd}=$ Constant
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