All Questions
13
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Linear approximation of the magnetic dipole field
Summary: using 3 angles to represent a magnetic dipole's orientation is redundant because the rotation around the $z$-axis of the dipole does not change the magnetic field, there are only 2 DOFs for ...
2
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1
answer
494
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The force on a magnetic dipole in a non-uniform magnetic field
Let's say there is a non-uniform magnetic field $B=(0,0,z)$ (i.e. the field is parallel to $z$-axis and the amplitude is linearly changing along $z$-axis). If there is a current loop (=magnetic dipole)...
1
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1
answer
89
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Classical dipole-dipole interaction in iron
I've been reading about the classical magnetic dipole-dipole interaction and I'm wondering how it would work in a ferromagnet element like iron (theoretically under the assumptions I will write below)....
1
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0
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117
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Why is the magnetization inside a diamagnetic material antiparallel to the external field
Let's say I have a constant magnetic field and I dive into it a diamagnetic material. Griffiths says that in the presence of a magnetic field, matter becomes magnetized and it will be found to contain ...
1
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1
answer
479
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Potential energy of magnetic dipole in non-uniform magnetic field
I want to understand why the potential energy of an ideal magnetic dipole with dipole moment $\boldsymbol{m}$ in a non-uniform magnetic field $\boldsymbol{B}$ (neglecting the term to keep the ...
1
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0
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83
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Field of an infinitely wide magnetic dipole
Students commonly wonder about the near-analogies between electricity & magnetism. One such:
The field of an electric dipole in the limit of an infinitely wide plane tends to 0 outside the plane (...
2
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1
answer
1k
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Magnetic dipole in gradient magnetic field
I know that a magnetic dipole in a uniform magnetic field will precess.
What happens qualitatively (or quantitatively) to a magnetic dipole in a gradient magnetic field? According to Wikipedia, "...
2
votes
1
answer
452
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Is it possible to align a magnetic dipole completely in the direction of field?
considering $L$ is always greater than $L_z$ i.e angle between angular momentum/magnetic moment and magnetic field/z direction cannot be zero. Means $B$ and magnetic moment cannot be in same ...
4
votes
1
answer
344
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A Classical model for diamagnetism
I'm trying to derive a classical model to describe diamagnetism, and I'd like to understand if it is possible to understand the basic properties of diamagnetic materials with it i.e.:
''A diamagnetic ...
1
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2
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534
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Source of magnetic dipole potential energy
One of the basic expression that goes without much thinking is the potential energy expression of a magnetic dipole in a magnetic field, $$ U = -\mu\cdot B $$
In the case of electric and gravitational ...
0
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1
answer
157
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How to determine the best-fit magnetic dipole Gauss coefficient in a shifted coordinate system?
Introduction
A planetary magnetic field $\vec{B}$ can be described outside of the planet using Gauss coefficients $g_n^m$ and $h_n^m$ and a spherical harmonic expansion:
$$\vec{B} \;=\; -\vec{\...
3
votes
1
answer
780
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Point particle with a magnetic dipole?
I have read these questions:
Are contravariant basis vectors and basis 1-forms identical?
Where John Rennie's answer says that electrons do have an electric dipole moment and we imagine that in math ...
1
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1
answer
118
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Relationship between exp(1/z) and the magnetic field
I will preface this by saying that I'm a math student, so I know a fair bit of math but almost no physics beyond what is learned in a first year undergraduate course.
I was recently looking at this ...