Uniformly Magnetized Sphere - University of Texas at Austin
Consider a sphere of radius , with a uniform permanent magnetization , surrounded by a vacuum region. The simplest way of solving this problem is in terms of the scalar magnetic potential introduced in Equation (). It follows from Equations () and () that satisfies Laplace's equation,
Magnetic Moment of a Charged, Rotating Sphere - Physics …
2011年9月6日 · The magnetic moment of a charged, rotating sphere can be calculated using the formula μ = qωr^2, where q is the charge of the sphere, ω is the angular velocity, and r is the radius of the sphere. What is the relationship between the magnetic moment and the angular velocity of a charged, rotating sphere?
Magnetic Moment of a Sphere (Part 3/3) - YouTube
Physics Ninja shows you how to calculate the magnetic moment of a uniformly charged spinning sphere.Magnetic Moment of a Disk: https://youtu.be/4F0p_VvYvMcM...
More surprising is the magnetic dipole moment found for individual electrons. This moment, associated with the electronic property of spin, is defined as the Bohr magneton. where e/m is the electronic charge to mass ratio, 1.76 × 1011 coulomb/kg, and 2π ̄h is Planck’s constant, ̄h = 1.05 × 10−34 joule sec so that me has the units A − m2.
- [PDF]
The Magnetic Moments
Viewing a magnetic dipole as a rotating charged sphere brings out the close connection between magnetic moment and angular momentum. Both the magnetic moment and the angular momentum increase with the rate of rotation of the sphere. The ratio of the two is called the gyromagnetic ratio, usually denoted by the symbol γ.
solid sphere of radius R is uniformly charged with charge density > 0 and rotates with angular velocity ! about its axis as shown. The rotating charge represents a current and thus produces a magnetic dipole moment m directed vertically up.
9.0 - MIT - Massachusetts Institute of Technology
Even if each atom or molecule is made to contribute only one Bohr magneton of magnetic moment, a magnetic field results comparable to that produced by extremely large conduction currents.
The magnetic field B outside the sphere is expressed by a magnetic field due to the magnetic moment m along the z axis. At the north pole of the magnetic sphere, the magnetic field B can be
Magnetic moments are divided into two groups: current-induced and intrinsic. magnetic field. The loop can be macroscopic, like. wire, or microscopic, like an electron orbiting the nucleus. Far away from the current loop the field will look as if it were being generated by a magnetic dipole.
Deduce the force between two halves of a uniformly magnetized sphere, for halves defined by planes perpendicular and parallel to the magnetization density M, assuming the sphere to be in vacuum.