Drift Velocity

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Drift velocity v_d relates current by I = n A e v_d. Increasing cross-sectional area keeping current same makes v_d:

RankGuru · Accepted Answer

Drift velocity ($v_d$) is the average velocity acquired by free electrons in a conductor due to an electric field.
$v_d = \frac{I}{nAe}$
Given $I$ is constant:
$v_d \propto \frac{1}{A}$
Increasing the area ($A$) reduces the drift velocity needed to maintain the same total current flow.

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