Revolving Electron’s Magnetic Dipole Moment

An atom is composed of a positively charged nucleus and negatively charged electrons.

The electron of charge (-e) performs U.C.M. (uniform circular motion) around a stationary nucleus with

period of revolution T. If r be the radius of the orbit of revolution of the electron

and v is the orbital velocity then

Magnitude of magnetic moment associated with circular current is

The direction of this magnetic moment is into the plane of paper. Negatively

charged electron is moving in anticlockwise direction, leading to a

clockwise current.

Multiplying and dividing the right hand side of equation (5) by the mass of

electron, me then

The negative sign indicates that the orbital angular momentum of

electron is opposite in the direction to the orbital magnetic moment.

The magnetic dipole moment to angular momentum ratio

The gyromagnetic relationship is the ratio of revolving electrons to the ground.

thanks for the A2A .. !!