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 =
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F65694bfc-e620-4a4d-a121-bcb6e5060fb0%2F20d1c4ad-25ca-4c65-b08c-88d2af6e63a3%2Fypbqbde_processed.jpeg&w=3840&q=75)
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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