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1 vote
1 answer
36 views

Magnetic moment of a paramagnetic cylinder

I am currently struggling with a problem where I have to calculate the magnetic moment $M$ of a cylinder of radius $R$ and height $h$ made up of a paramagnetic material (aluminium) and under a ...
Gabriel's user avatar
  • 13
0 votes
1 answer
234 views

How does the Lagrangian work with a magnetic field?

I was told the following Lagrangian is for a charged particle with spin moving in a constant magnetic field: $$ L = \frac{\left ( \vec p \right ) ^2}{2m} + \vec \mu \cdot \vec B$$ Let's just say $B$ ...
Aggle's user avatar
  • 59
0 votes
0 answers
26 views

Where does force act in two parallel current carrying conductors?

F=ILB.so consider length as 5 m and I as 2 ampere and B as 5 T.so the force is 50 N.does this 50 N act at one point or equally applied on full length like pressure.So what does force/length in this ...
cvcv's user avatar
  • 1
1 vote
1 answer
66 views

Magnetic dipole moment due to folded loop [closed]

A steady current i flows in a small square loop of wire of side L in a horizontal plane. The loop is now folded about its middle such that half of it lies in a vertical plane. Let $ μ_1 $ and $ μ_2 $ ...
PP's here's user avatar
0 votes
1 answer
2k views

Deriving the magnetic field due to a dipole

I am trying to follow along with a derivation from Cullity, Introduction to magnetic materials 2011. I am getting stuck at a very early stage when computing the components of the magnetic field at a ...
whirlpooldarkmatter's user avatar
0 votes
1 answer
488 views

Griffiths E&M questions about example 6.1 [closed]

I understand why $K_b = M\mbox{sin}\theta \hat{\phi}$ but when I try to use this to calculate the magnetic field, I keep coming up with an integral that cancels itself out and I don't understand how ...
JosephSanders's user avatar
3 votes
1 answer
731 views

When can we use Ampère's Law methods to find $\mathbf{H}$ field?

I was reading David J. Griffiths Introduction to Electrodynamics and came across this question today. Part (b) of the question can be solved by realising that $\mathbf{H}$ (the auxiliary field), by ...
bob the legend's user avatar
0 votes
1 answer
502 views

Magnetization of a cylinder

Suppose we have a short circular cylinder of radius $a$ and length $L$ carrying a uniform frozen-in’ magnetization $\mathbf{M}$ parallel to its axis. Why is there no bound surface current on the two ...
leahforbes's user avatar
0 votes
1 answer
85 views

2 magnet bars are placed in same plane and one of them can rotate freely. The relation as system is balanced [closed]

Each magnet is in same plane. $$ \ell \ll r $$ The magnet1 has been fixed. The magnet2 can rotate with center of the magnet itself. $$ \theta_{1} ~~,~~ \theta_{2} :=\text{each angle between the ...
electrical apprentice's user avatar
0 votes
1 answer
96 views

Does the magnetic field exert a force on the magnetization current inside the ferromagnet?

Does the magnetic field exert a force on the magnetization current inside the ferromagnet? In this case, does the following formula also apply? $$ \pmb {d \hat F = I_{m} \ d \hat{L} \times \hat{B}} \...
The One's user avatar
  • 11
0 votes
0 answers
72 views

What is the total momentum of EM fields?

I have an assignment where i have to find the total momentum of an EM field. Imagine a perfect magnetic dipole in (0,0,0) with dipole moment $$ \mathbf{m} = m\mathbf{\hat{z}} $$ And also a point ...
Keinicke's user avatar
  • 101
1 vote
2 answers
331 views

How to calculate pole strength for this magnet?

I know magnetic mono poles don't exists and a magnetic poles always have equal strength. But what about a magnet which looks like this? This is picture of magnet whose thickness is constantly ...
Bhavay's user avatar
  • 1,691
0 votes
2 answers
57 views

Magnetic moment of a radially symmetric current

In my latest assignment I'm tasked with finding a magnetic moment $\mu$ of a hydrogen atom, whose current distribution $\mathbf{j}(\mathbf{r})$ looks like $$\mathbf{j}(\mathbf{r})=\frac{e\hbar}{3^8 \...
Andrii Kozytskyi's user avatar
4 votes
1 answer
415 views

Magnetization currents (amperian currents): how to show that they are always zero in total from the definition?

For magnetic field in matter the two following amperian current densities are defined: Surface currents: u.m. $[\frac{A}{m}]$ $$J_{A,s}= \bf{M} \times \hat{n}$$ Volume currents: u.m. $[\frac{A}{m^...
Sørën's user avatar
  • 2,617
1 vote
1 answer
1k views

Work on current loop placed in a magnetic field: how can there be work done against magnetic forces? [duplicate]

I'm facing some doubts while studying the lecture on magnetic dipole potential energy http://www.feynmanlectures.caltech.edu/II_15.html - "15–1 The forces on a current loop; energy of a dipole". When ...
Sørën's user avatar
  • 2,617

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