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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 (&...
0 votes
0 answers
37 views

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 ...
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 ...
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 ...
0 votes
1 answer
242 views

Knowing the force of attraction of two bar magnets what is the force between two surfaces made of the same material?

Two bar magnets with area $a$, in axis, at a distance of $d$ ($d$ is much biffer than $a$) attract each other with a force of $F$. What is the force between two infinite surfaces made of the same ...
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 ...
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)...
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)....
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{\...
0 votes
2 answers
152 views

How can the magnetic field of a dipole be exceedingly large close to its singularity?

I am trying to figure out the magnetic field close to a micrometer sized bar magnet in my experiment. The field gets detected 1 micrometer away from the north of the bar magnet. For now, I just take ...
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. ...
-1 votes
3 answers
5k views

Isn't magnetism governed by the inverse square law? [duplicate]

Why does magnetism appear to decay much faster than gravity with distance? A clear indication of this is the fact that a magnet that in short distance able to overcome gravity and pick up some object,...
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 ...
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 ...
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 ...

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