Biot-Savart, law indicates that the moving electrons (velocity $v$) produce a magnetic field $B$ such that
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Magnetic field associated with moving charge
$B=\frac{\mu}{4 \pi} \mathrm{q} \frac{\mathrm{v} \times \mathrm{r}}{\mathrm{r}^{2}}$
$\mathrm{So}, \quad \mathrm{B} \perp \mathrm{v}$
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