A meta sample carrying a current along $x-$ axis with density $J$ is subjected to a magnetic field $B$ (along $z-$ axis). The electric field $E$ developed along $y-$ axis is directly proportional to $J$ as well as $B$. The constant of proportionality has $SI\ unit$
Medium
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$J=J=\frac{1}{A}$
$i=J A$
$\mathrm{ev}_{\mathrm{d}} \mathrm{B}=\mathrm{e} \mathrm{E}$
$\operatorname{ne} \mathrm{A} \mathrm{v}_{\mathrm{d}}=\mathrm{JA}$
$\mathrm{E}=\frac{\mathrm{JB}}{\mathrm{ne}}$
Constant of proporionality $=\frac{1}{\mathrm{ne}}=\frac{\mathrm{m}^{3}}{\mathrm{C}}$
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