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PHY4604
R. D. Field
Department of Physics
Chapter4_27.doc
University of Florida
Electrons and Magnetism
Magnetic Dipole:
The magnetic field on the zaxis of a
current loop
with area
A=
π
R
2
and current
I
is given by
B
z
(z) = 2k
µ
/z
3
,
when
z >> R
, where the
magnetic dipole
moment
µ
= IA
.
Orbital Magnetic Moment:
Consider a single particle with charge
q
and
mass
m
undergoing
uniform circular motion
with radius
R
about the zaxis.
The period of the orbit is given by
T =
2
π
R/v
, where
v
is the particles speed.
The magnetic moment
(
called the orbital magnetic moment
) is
µπ
orb
IA
q
T
R
q
vR
==
=
2
2
,
since
I = q/T
.
The orbital magnetic moment can be written in terms of the
orbital angular momentum,
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This note was uploaded on 05/29/2011 for the course PHY 4064 taught by Professor Fields during the Spring '07 term at University of Florida.
 Spring '07
 FIELDS
 mechanics, Current, Magnetism

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