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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
25 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
494 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
89 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
46 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
37 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
117 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
734 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
630 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
479 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
  • 1,989
1 vote
3 answers
237 views

$H$ field formula

For a permanent bar magnet is there a formula for the magnetic field strength $H$? Just like the electric field strength $E$ can be calculated at a point in space, can we do the same for the magnetic ...
Jun Seo-He's user avatar
0 votes
0 answers
78 views

Force on a magnetic dipole

How to deduce the force on a magnetic dipole given by $F = \nabla(m \cdot B)$ from the Lorentz force?
Jéssica Laís's user avatar
0 votes
1 answer
123 views

Magnetic field around a magnetic dipole and circular current loop

Qualitatively, how does the magnetic field around an ideal dipole compare with the magnetic field around a circular current loop?
Phy07's user avatar
  • 5
1 vote
0 answers
83 views

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 (...
alexchandel's user avatar
0 votes
1 answer
101 views

Uniform electric field formation in motional emf induction

Why is the electric field $E$ across the ends of a conducting rod, when it's moved with a uniform velocity $v$ in a magnetic field $B$, uniform? Wouldn't it vary non-linearly, since there are opposite ...
harry's user avatar
  • 256
2 votes
1 answer
1k views

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, "...
user avatar
1 vote
2 answers
553 views

Measuring neodymium magnet strength with magnetometer sensor in phone

I try to measure neodymium magnet magnetic field strength, exactly - how it depends on distance to magnet, by using integrated magnetometer sensor in Huawei phone. My setup is like : Then I move ...
Agnius Vasiliauskas's user avatar
2 votes
1 answer
452 views

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 ...
Mubashir's user avatar
  • 117
4 votes
1 answer
344 views

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 ...
gioretikto's user avatar
1 vote
2 answers
534 views

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 ...
mrinmoy_kundu's user avatar
0 votes
1 answer
156 views

Can there be a torque-less net force on a dipole in a magnetic field?

I realise that a magnetic dipole moment is essentially defined on the basis of torque, which also seems to imply that a magnetic field imposed on a current-carrying closed loop can only induce a ...
harry's user avatar
  • 256
2 votes
1 answer
526 views

Why are domains formed as separate units?

I was reading about exchange coupling and domain formation in ferromagnetic materials. As far as I can understand, some of the dipoles in the ferromagnetic material align themselves in a group called ...
Elendil's user avatar
  • 1,375
2 votes
2 answers
191 views

Can we understand a moving charge as a dipole?

I work as a physics teacher at a high school and I have to explain these days the magnetic field of a curreny carrying wire. Of course I may just give the formulae and describe how the field $\vec{B}$ ...
Ali Esquembre Kucukalic's user avatar
3 votes
2 answers
418 views

Is the vector potential component $A_\phi$ for a dipole necessarily 0 due to symmetry about the $z$-axis?

Consider an electric dipole (+$q(t)$, -$q(t)$) [where say $q(t)=q_0\cos\omega t$] is placed along the $\hat z$ axis. In the spherical polar coordinates, its vector potential $$\vec{A} = A_r \hat r + ...
user avatar
0 votes
1 answer
157 views

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{\...
jvriesem's user avatar
  • 280

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