The angular momentum of a mass distribution where a differential element particle of mass m with velocity v and located at position r is defined in the form /- L = dmr x v = dvpr × v, p= nm where n is the number of particles per unit volume and m is its mass. If each of the particles has a charge q, with their movement they constitute a current J= nqv Show that the relationship between the magnetic dipole moment and the angular momentum is m = L 2m where the magnetic moment is defined dvr x J 2 m =

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The angular momentum of a mass distribution where a differential element particle of mass m with velocity v and located
at position r is defined in the form
L =
dmr x v =
dvpr x v,
p= nm
where n is the number of particles per unit volume and m is its mass. If each of the particles has a charge q, with their
movement they constitute a current
J = nqv
Show that the relationship between the magnetic dipole moment and the angular momentum is
L
m =
2m
where the magnetic moment is defined
m =
dvr x J
Transcribed Image Text:The angular momentum of a mass distribution where a differential element particle of mass m with velocity v and located at position r is defined in the form L = dmr x v = dvpr x v, p= nm where n is the number of particles per unit volume and m is its mass. If each of the particles has a charge q, with their movement they constitute a current J = nqv Show that the relationship between the magnetic dipole moment and the angular momentum is L m = 2m where the magnetic moment is defined m = dvr x J
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