An electron moves in a circular orbit of radius r with uniform speed v, producing a magnetic field of magnitude B at the centre of the circle. How is the radius r related to v and B?

PhysicsMediumHigh School (11–12)jee-main

A charge moving in a circle constitutes a current $I = \dfrac{ev}{2\pi r}$ (charge divided by period). The magnetic field at the centre of a circular current loop is $B = \dfrac{\mu_0 I}{2r}$ . Combining these gives a relation between $r$ , $v$ , and $B$ .

An electron moves in a circular orbit of radius $r$ with uniform speed $v$ , producing a magnetic field of magnitude $B$ at the centre of the circle. How is the radius $r$ related to $v$ and $B$ ?

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