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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 ...
William Lin's user avatar
0 votes
0 answers
23 views

Orientation of Magnetic Induction of a Dipole Source in MEG

I am working with source-reconstructed MEG data, and what I would like to know is that when we obtain the magnetic induction (using the right-hand thumb rule) of a dipole source, is it only the ...
neurysh's user avatar
1 vote
0 answers
38 views

Equation relating the current carried by a solenoid to the force experienced by a magnetic dipole?

I am trying to find an equation or a series of equations that relates the current I carried by a solenoid of length L with turns N to the force F experienced by a magnetic dipole of strength M that ...
cyalatergator's user avatar
2 votes
1 answer
476 views

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)...
EugeneB's user avatar
  • 23
1 vote
1 answer
87 views

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)....
user9867's user avatar
  • 221
1 vote
0 answers
44 views

Earth magnetic field, WMM/IGRF

I am studying about World Magnetic Model (WMM) and International Geomagnetic Reference Field (IGRF) models. It is well known that, to a first approximation, earth magnetic field is a field of dipole. ...
Emma Anderson's user avatar
1 vote
0 answers
26 views

Non-parallel magnetic dipole falling throug copper tube

What happens with magnetic dipole while falling through copper cylinder? If it's parallel to z-axis (shown on picture below with red color) we know that it stays parallel to the z-axis all the way ...
Edward Henry Brenner's user avatar
0 votes
1 answer
36 views

Force components on dipole falling through copper ring

We have a magentic dipole parallel with z-axis (shown on the diagram below) falling through copper loop, because of changing magnetic flux there is induced current in cooper ring/loop and consequently ...
Edward Henry Brenner's user avatar
1 vote
2 answers
102 views

Does the force between two magnetic poles ever reach zero?

If we hold two magnetic like-poles together and start to move them away, would the repelling force reach absolute zero at certain point? In that scenario, as a layman, I think that there is something ...
user avatar
2 votes
1 answer
2k views

Magnetic field of dipole derivation

How can we derive the following formula: $$\vec{B}(\vec{r})=\frac{\mu_0}{4\pi}\left[ \frac{3(\vec{m}\cdot\vec{r})\vec{r}}{r^5} - \frac{\vec{m}}{r^3}\right]\; ,$$ I want to derive it as a limit of a ...
Edward Henry Brenner's user avatar
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0 answers
35 views

How to find field strength of magnetic field of an oscillating dipole without $x,y,z$ variables?

(For better viewing, visit https://lateral-bathroom-f63.notion.site/How-to-find-field-strength-of-magnetic-field-of-oscillating-dipole-without-x-y-z-variables-ea0d864f371e4649a21d6cf5d007f9ee) I have ...
Oleg's user avatar
  • 1
1 vote
0 answers
116 views

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 ...
Wrynn's user avatar
  • 11
4 votes
2 answers
692 views

Formula for force on a magnetic dipole

Using the magnetic current model, the force on a magnetic dipole, commonly derived in textbooks, is found to be: $$ \mathbf{F} = \nabla(\mathbf{m} \cdot \mathbf{B}) \tag{1} $$ If the magnetic pole (&...
user246795's user avatar
1 vote
3 answers
623 views

Why magnet is always a dipole?

Why magnet is alway dipole Even the atom of the magnetic substance is also dipole , how can small atom be dipole . Pls explain me
Vaibhav Tiwari's user avatar
1 vote
1 answer
476 views

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 ...
Mr. Feynman's user avatar
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