In electromagnetism, a toroidal moment is an independent term in the multipole expansion of electromagnetic fields besides magnetic and electric multipoles. In the electrostatic multipole expansion, all charge and current distributions can be expanded into a complete set of electric and magnetic multipole coefficients. However, additional terms arise in an electrodynamic multipole expansion. The coefficients of these terms are given by the toroidal multipole moments as well as time derivatives of the electric and magnetic multipole moments. While electric dipoles can be understood as separated charges and magnetic dipoles as circular currents, axial (or electric) toroidal dipoles describes toroidal (donut-shaped) charge arrangements whereas polar (or magnetic) toroidal dipole (also called anapole) correspond to the field of a solenoid bent into a torus.
A toroidal planet is a hypothetical type of telluric exoplanet with a toroidal or doughnut shape. While no firm theoretical understanding as to how toroidal...
A vortex ring, also called a toroidal vortex, is a torus-shaped vortex in a fluid; that is, a region where the fluid mostly spins around an imaginary axis...
some particles are given in the table below: Moment (physics) Electric dipole momentToroidal dipole moment Magnetic susceptibility Orbital magnetization...
magnetic dipole moment Bond dipole moment Neutron electric dipole moment Electron electric dipole momentToroidal dipole moment Dynamic toroidal dipole Multipole...
the toroidal dipole needs to be taken into account. Toroidal dipole moments are odd under parity and time-reversal symmetries. Dynamic toroidal dipole...
magnets are used in particle accelerators Solid harmonics Toroidalmoment Dynamic toroidal dipole Edmonds, A. R. (1960). Angular Momentum in Quantum Mechanics...
multipoles. The terms "anapole" and toroidalmoment were once used synonymously, but this ended. Toroidalmoment Zel’Dovich, I. B. (1958). Electromagnetic...
followed. One magnetic probe measurement found the toroidal magnetic field profile of a spheromak; the toroidal field was zero on axis, rose to a maximum at...
Spaldin, Nicola A.; Fiebig, Manfred; Mostovoy, Maxim (2008). "The toroidalmoment in condensed-matter physics and its relation to the magnetoelectric...
The toroidal ring model, known originally as the Parson magneton or magnetic electron, is a physical model of subatomic particles. It is also known as...
moment, as a result of the non-spherical electric and magnetic waves. In fact, the spherical harmonic function (sin θ) responsible for such toroidal angular...
neoclassical diffusion is a theoretical description of collisional transport in toroidal plasmas, usually found in tokamaks or stellerators. It is a modification...
winding of a toroidal core. Toroids have less audible noise, such as mains hum, because the magnetic forces do not exert bending moment on the core. The...
little need for toroidal geometry for small SMES, but as the size increases, mechanical forces become more important and the toroidal coil is needed....
but in the form of a torus. We shall take the liberty of calling this toroidal structure a plasmoid, a word which means plasma-magnetic entity. The word...
magnet, poloidal magnets around the edges of the tokamak, 18 D-shaped toroidal-field coils, and correction coils. A solid confinement vessel is also needed...
magnetometer is a device that measures magnetic field or magnetic dipole moment. Different types of magnetometers measure the direction, strength, or relative...
internal toroidal magnetic field to the external poloidal field, and sunspots diminish in number and size. At solar-cycle minimum, the toroidal field is...
for the realization of controlled thermonuclear fusion on the basis of toroidal magnetic thermonuclear reactor and soon after the first such devices were...
coil. An auxiliary set of ten coils produces a toroidal field much like that of a tokamak. This toroidal field is used to vary the rotational transform...
using a ring current around the star's equator to generate a powerful toroidal magnetic field with its dipoles over the star's rotational poles. This...
"Everything Bagel" topped with literally everything, which appears as a toroid singularity that could destroy the multiverse. Evelyn is given verse-jumping...
other types of magnetic fusion energy devices such as tokamaks, where the toroidal magnetic field is stronger on the inboard side than on the outboard side...
"afterwinds", while, inside the head of the cloud, the hot gases rotate in a toroidal shape. When the detonation altitude is low enough, these afterwinds will...
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