“Ampere’s law”的概念、定义、翻译、参考文献-科学参考

Ampere’s law

Electronics and Electrical Engineering

1. (Ampere–Laplace law) The force between two parallel current-carrying conductors in free space is given by
$d F = μ_{0} I_{1} d s_{1} I_{2} d s_{2} s i n θ / 4 π r^{2}$
where I₁ and I₂ are the currents, ds₁ and ds₂ the incremental lengths, r the distance between the incremental lengths and θ the angle (see diagram); μ₀ is the permeability of free space. Ampere’s law thus relates electrical and mechanical phenomena. See also Coulomb’s law.
2. (Ampere’s circuital theorem) The work done in traversing a closed circuit that encloses a current I is given by
$⨕ B . ds = μ_{0} I$
where μ₀ is the permeability of free space, B is the magnetic flux density, and ds an incremental length.
The total current flowing is given by the integral of the current density flowing in the area bounded by the loop. In a medium of magnetization M, the total current density, j_T, is given by the sum of the real current density, j, and the equivalent magnetization current density, j_M, where
$j_{M} = c u r l M$
Since
$⨕ B . d s = \int c u r l B . d A$
where dA is an increment of area, then
$\int c u r l B . d A = μ_{0} \int j_{T} . d A$
and thus
$c u r l (B - μ_{0} M) = μ_{0} j$
Since H, the magnetic field strength, is defined by
$μ_{0} H = B - μ_{0} M$
Ampere’s law, in differential form, may be written as
$c u r l H = j$
Ampere’s law

单词	Ampere’s law
释义	Ampere’s law Electronics and Electrical Engineering 1. (Ampere–Laplace law) The force between two parallel current-carrying conductors in free space is given by $d F = μ_{0} I_{1} d s_{1} I_{2} d s_{2} s i n θ / 4 π r^{2}$ where I₁ and I₂ are the currents, ds₁ and ds₂ the incremental lengths, r the distance between the incremental lengths and θ the angle (see diagram); μ₀ is the permeability of free space. Ampere’s law thus relates electrical and mechanical phenomena. See also Coulomb’s law. 2. (Ampere’s circuital theorem) The work done in traversing a closed circuit that encloses a current I is given by $⨕ B . ds = μ_{0} I$ where μ₀ is the permeability of free space, B is the magnetic flux density, and ds an incremental length. The total current flowing is given by the integral of the current density flowing in the area bounded by the loop. In a medium of magnetization M, the total current density, j_T, is given by the sum of the real current density, j, and the equivalent magnetization current density, j_M, where $j_{M} = c u r l M$ Since $⨕ B . d s = \int c u r l B . d A$ where dA is an increment of area, then $\int c u r l B . d A = μ_{0} \int j_{T} . d A$ and thus $c u r l (B - μ_{0} M) = μ_{0} j$ Since H, the magnetic field strength, is defined by $μ_{0} H = B - μ_{0} M$ Ampere’s law, in differential form, may be written as $c u r l H = j$ Ampere’s law
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