# Show that the orbital magnetic dipole moment of a revolving electron is eVr2 - Physics

Sum

Show that the orbital magnetic dipole moment of a revolving electron is (eVr)/2

#### Solution

In an atom, electron revolves around the nucleus in circular motion. ‘e’ be the charge on electron. The T be the time required to complete one revolution.

:."Period of revolution"="Circumference"/"velocity" " ":.T=(2pir)/v

Circulating current I=e/T" ":.I=(ev)/(2pir)

Magnetic moment associated with electron circular loop = M = IA :.M=(ev)/(2pir)xxpir^2

:.M=(evr)/2

The direction of this magnetic moment is in to the plane of paper. Negatively charge electron is moving in anticlockwise direction leading current in clockwise direction.

Concept: Magnetic Dipole Moment of a Revolving Electron
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