An electron moves in a circular orbit with uniform speed v and produces a magnetic field B at the centre of the circle. Treating the orbiting electron as a current loop, the radius of the circle must be proportional to

PhysicsMediumHigh School (11–12)jee-main

A charge $e$ moving in a circle of radius $r$ with speed $v$ is equivalent to a current $I = \dfrac{ev}{2\pi r}$ . The magnetic field at the centre of this current loop is $B = \dfrac{\mu_0 I}{2r}$ . Combining these gives a relation between $B$ , $v$ , and $r$ .

An electron moves in a circular orbit with uniform speed $v$ and produces a magnetic field $B$ at the centre of the circle. Treating the orbiting electron as a current loop, the radius of the circle must be proportional to

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