Questions tagged [magnetostatics]

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Two ways, different result: Find torque due to magnetic force on a conductor

We have an AB conductor of length $2L$ and an infinite one coming out of the screen as shown in the picture (a is the distance between the 2nd conductor and the middle of the finite conductor) ...
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81 views

Net magnetic field & magnetization on a ferromagnetic material

A ferromagnetic materiel is saturated by an exterior magnetic field like so: Where $B_1$ is a uniform magnetic field. Then after some time $t$ another magnetic field $B_2$ is introduced as well, but ...
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2answers
382 views

Deflection of compass and rest position through Magnetic induction

I found a problem with a compass and a magnet, as diagrammed below. The needle of the compass was oscillating, but when a soft iron bar was placed in the “X” then the needle came to rest. Why did ...
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272 views

Circularly Magnetized Neodymium Torus With Minimum Flux Leakage

I'd like to conduct some experiments related to Aharonov-Bohm. In particular, I'd like to investigate the irrotational vector potential gradient. A simple geometry for this is the major axis of a ...
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71 views

How to understand Steady Currents within the limits of Magnetostatics

I know that the precise mathematical statement of local charge conservation is $\nabla \cdot \vec{J}=-\frac{\partial \rho}{\partial t}$, where $\vec{J}$ is the volume current density and $\rho$ is the ...
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1answer
207 views

Conditions on expressing magnetic field in terms of curl of current density

Given a current density distribution $\mathbf J(\mathbf x)$ inside a closed bounded region $\Omega$, the magnetic field at any point $\mathbf y$ outside of $\Omega$ can be expressed as $$ \begin{...
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71 views

can magnet used in engines

My friend has told an idea that if the same poled magnets are placed in the motors instead of engines,it will produce the ultimate energy.because same poles are repelling each other. is it possible?
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906 views

Uniformly magnetized sphere

While working on a uniformly magnetized sphere, I have come across this problem: How does the boundary value equation $$\vec n.(\vec B_2-\vec B_1)=0$$ lead to the equation $$\phi_{out}|_{r=a}=\phi_{in}...
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4answers
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What is the difference between the magnetic field of a permanent magnet, and that of an electromagnet?

What is the difference between the magnetic field of a permanent magnet, and that of an electromagnet? In the diagram below, you can see that the magnetic field of a wire which carries a DC ...
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1answer
264 views

Magnetic field of magnetic dipole along the z-axis

The vector potential for a magnetic dipole is given by the following formula: $$ \vec{A} = \frac{1}{4\pi\epsilon_0 c^2}\frac{\vec{m}\times\hat{e}}{R^2} $$ From this expression we can deduce that for ...
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118 views

Magnetic potential and magnetic field assumptions

I've seen many proofs where you want to find the magnetic field inside and outside a solenoid for example. The author said using symmetry magnetic potential is a function of some variables and discard ...

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