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It is a physical constant, conventionally written as μ 0 (pronounced "mu nought" or "mu zero"). It quantifies the strength of the magnetic field induced by an electric current. Expressed in terms of SI base units, it has the unit kg⋅m⋅s −2 ⋅A −2. It can be also expressed in terms of SI derived units, N⋅A −2.
Paramagnetic materials are attracted to magnetic fields, hence have a relative magnetic permeability greater than one (or, equivalently, a positive magnetic susceptibility). The magnetic moment induced by the applied field is linear in the field strength, and it is rather weak. It typically requires a sensitive analytical balance to detect the ...
In SI units, the energy density of a magnetic field with strength can be expressed as = where is the vacuum permeability. Any magnetic field has an associated magnetic pressure contained by the boundary conditions on the field. It is identical to any other physical pressure except that it is carried by the magnetic field rather than (in the ...
magnetic flux density, magnetic induction: tesla: T = Wb/m 2 = N⋅A −1 ⋅m −1: kg⋅s −2 ⋅A −1: Φ, Φ M, Φ B magnetic flux: weber: Wb = V⋅s kg⋅m 2 ⋅s −2 ⋅A −1: H magnetic field strength ampere per metre: A/m A⋅m −1: F magnetomotive force: ampere: A = Wb/H A R magnetic reluctance: inverse henry: H −1 = A/Wb kg − ...
where Ω is the ohm, the SI unit of electrical resistance. The impedance of free space (that is, the wave impedance of a plane wave in free space) is equal to the product of the vacuum permeability μ 0 and the speed of light in vacuum c 0. Before 2019, the values of both these constants were taken to be exact (they were given in the ...
The definitions for monopoles are of theoretical interest, although real magnetic dipoles can be described using pole strengths. There are two possible units for monopole strength, Wb (Weber) and A m (Ampere metre). Dimensional analysis shows that magnetic charges relate by q m (Wb) = μ 0 q m (Am).
In free space the wave impedance of plane waves is: = (where ε 0 is the permittivity constant in free space and μ 0 is the permeability constant in free space). Now, since = = (by definition of the metre),
In the Gaussian system, unlike the ISQ, the electric field E G and the magnetic field B G have the same dimension. This amounts to a factor of c between how B is defined in the two unit systems, on top of the other differences. [3] (The same factor applies to other magnetic quantities such as the magnetic field, H, and magnetization, M.)