The current associated with an electron of charge $e$ moving in a circular orbit of radius $r$ with speed…
The current associated with an electron of charge $e$ moving in a circular orbit of radius $r$ with speed $v$ around the positively charged nucleus is given by
$\frac{e r}{2 \pi v}$
$\frac{e \pi}{2 r v}$
$\frac{e v}{\pi r}$
$\frac{e v}{2 \pi r}$
Solution
The current associated $i$ with an electron $e$ moving in a circular orbit of radius $r$ with speed $v$ around a positively charged nucleus can be written as:
$i=\frac{\text { charge }}{\text { time period }}=\frac{q}{T}=\frac{e}{(2 \pi r) / v}=\frac{e v}{2 \pi r}$