Question

an electron moving in a circular orbit of radius R with time period t the equivalent magnetic dipole moment of a circular orbit is​

Answer 1

•The orbiting electron behaves as a current loop. The current due to orbital motion of electron is given by

Current, I = e/T =e/(2πr/v) = ev/2πr

Where T is the time period of the electron,

r is the radius of the orbit of revolution of the electron, and

v is the speed of the electron.

•Area of the current loop, A = πr²

Therefore, magnetic moment of the current loop,

B = IA =ev x πr²/ 2πr = evr/2.