Question

When a charged particle of charge e revolves in a circular orbit of radius r with frequency n, then orbital current will be:

• A. $\frac{ev}{\pi r^2}$
• B. $\frac{ev}{4\pi r}$
• C. $\frac{ev}{2\pi r}$
• D. $\frac{ev}{4\pi r^2}$

Answer 1

The correct option is C $\frac{ev}{2\pi r}$

If a charged particle of charge q revolves in a circular orbit of radius r with frequency v, then the orbital current is given by
$I=qv$
or $I=q\frac{\omega }{2\pi }$ $(\because \omega =2\pi V\Rightarrow V=\frac{\omega }{2\pi })$
$I=\frac{ev}{2\pi r}(\because v=r\omega )$