What is doing the work on a magnetic dipole in a magnetic field?
2021年5月27日 · The negative sign indicates the tendency of the dipole to be aligned with the magnetic field; a dipole transverse to its local magnetic field has more energy than when it's parallel to the field. Looking at your computation, it looks like the confusion lies in how you've defined $\theta$ .
What is the magnetic dipole moment of the sphere? - Physics …
2007年5月29日 · The magnetic dipole moment of a sphere can be calculated by multiplying the area of the sphere's cross-section by the strength of its magnetic field. What factors affect the magnetic dipole moment of a sphere? The magnetic dipole moment of a sphere is affected by its size, shape, and the strength of its magnetic field. The orientation of the ...
What do we mean with magnetic monopole and dipole?
Every electron has two types of magnetic dipole moment, namely spin magnetic dipole moment and orbital magnetic dipole moment. There are several electrons in an atom and most electrons cancel out each other's magnetic moment. When all the electrons cancel out neatly, the total magnetic moment of the atom is zero.
Magnetic Dipole: How to plug into Maxwell's equations?
$\begingroup$ If magnetic charges would exist in Maxwell equations: $\mathbf{\nabla}.\mathbf{B} = 4 \pi \rho_m$ where $\rho_m$ is the magnetic charge density, then the magnetic dipole solution can be obtained exactly in the same way an electric dipole is obtained in the standard Maxwell theory; i.e., by taking two opposite infinitesimally ...
electromagnetism - Relation between magnetic moment and …
2015年5月15日 · In this case, the the general formula for the magnetic dipole moment of the configuration is $$ \vec{\mu} = \frac{1}{2} \int \vec{r} \times \vec{J} \,d^3r. $$ (Showing that this reduces to the above formula for a flat planar loop is left as an exercise to the reader.)
Solved Three different orientations of a magnetic dipole - Chegg
Question: Three different orientations of a magnetic dipole moment in a constant magnetic field are shown. b a B Which orientation results in the largest magnetic torque on the dipole? a Ob Ос Which orientation has the most potential energy?
How to calculate the magnetic dipole moment of a bar magnet?
It is important to remember that although this may be the dipole moment of a bar magnet, a bar magnet has non-zero higher order moments whose contributions to the field fall off faster than the dipole $1/r^3$. The magnetic field of a bar magnet only matches a dipole field for distances much greater the dimensions of the magnet.
How does magnetic moment transform under Lorentz …
2022年8月21日 · Interestingly, if the magnetic moment were due to a pair of actual magnetic monopoles, and assuming that magnetic charge is invariant, then the only effect would be Lorentz contraction, which reduces the dipole moment by 1/gamma if along the velocity but leaves it unchanged perpendicular to the velocity.
Calculation of magnetic dipole moment of the Earth - Physics …
2024年3月9日 · The Earth's magnetic dipole moment is important because it helps in understanding the geomagnetic field, which protects the planet from solar wind and cosmic radiation. It also plays a crucial role in navigation, both for animals and human-made systems, and provides insights into the Earth's interior and geodynamo processes.
The force on a magnetic dipole in a non-uniform magnetic field
2023年5月13日 · More generally, the Lorentz force law says that the force on any current configuration is $$ \vec{F} = \int \vec{J} \times \vec{B} \, d \tau. $$ For a "small" current configuration it is possible to show that this is equal to the magnetic dipole force formula $\vec{\nabla} (\vec{m}\cdot\vec{B})$; but one step in the derivation relies on the ...