The magnetic flux density and the magnetic vector potential produced by a uniform current density or a uniform magnetization inside an arbitrary polyhedron are calculated analytically. The obtained closed-form expressions are remarkably simple and provided in an intrinsic vector form,...
Magnetic flux density: tesla (T) for SI; gauss (G) for CGS Another vector magnitude interesting in magnetic theory is magnetic field intensity, symbolized by H. It can be defined as the magnetic field created by a current circulating though a conductor but independently of the surrounding mater...
that can be always defined up to a gauge, which means up to the gradient of a scalar function here named G, irrelevant for the corresponding magnetic field, \({\textbf{B}}= \nabla \times {\textbf{A}}\). Here we show the equivalence between the covariant components of the vector poten...
Themagnetic susceptibilitytensor (χ) connects the magneticflux density(B) with the magnetization (M) vector when a material is subjected to the action of an externalmagnetic field. M=χB This tensor can be diagonalized, with components χxx, χyy, and χzzalong the principal axes. In a ...
We would like to stress that assuming that the con- ductivity is just a scalar quantity, constant both in space and time, clearly represents an oversimplification [31–33] of the properties of a system out of equilibrium and under- going an extremely fast dynamical evolution. Moreover, this...
3D scalar (green) and vector (arrow) reconstructions of the ferromagnetic meta-lattice. The global view of the 3D magnetization vector field zooms in to show a TMM and anti-TMM pair (Fig. 3a), a TMM and TMM pair (Fig. 3b), and an anti-TMM and anti-TMM pair (Fig. 3c), where TM...
Analytical Solution of the magnetic Field in Permanent-Magnet Motors Taking Into Account Slotting Effect: No-Load Vector Potential and Flux Density Calculation 来自 Semantic Scholar 喜欢 0 阅读量: 312 作者:F Dubas,C Espanet 摘要: We present a general computation taking into account the slotting ...
where Ac is the area of the electric current loop and i is the current in the circuit. Magnetic flux density, B→, results in a torque on the moment which can lead to the moment aligning with the magnetic flux density. Hence, the magnetic moment, m→, can be defined as a vector rel...
In this chapter we seek to establish the formulation of the field equations, to show that their solutions are unique, to discuss the scalar and vector potentials of the field, and to consider what is meant by the energy density of the field. We shall investigate the wave character of the ...
Ultimately, in any Hamiltonian description of a quantum system, it is the gauge-dependent scalar and vector potentials which enter. Thus, there is an entire class of Hamiltonians describing one and the same physical system. In this context, gauge transformations of the potentials can be equivalent...