In physics, Gauss's law for magnetism is one of the four Maxwell's equations that underlie classical electrodynamics. It states that the magnetic field...

the Biot–Savart law will always satisfy Gauss's law for magnetism and Ampère's circuital law: Proof Starting with the Biot–Savart law: B ( r ) = μ 0 4...

physics (specifically electromagnetism), Gauss's law, also known as Gauss's flux theorem (or sometimes Gauss's theorem), is one of Maxwell's equations...

coefficient of the proportion is the permittivity of free space. Gauss's law for magnetism states that electric charges have no magnetic analogues, called...

In physics, Gauss's law for gravity, also known as Gauss's flux theorem for gravity, is a law of physics that is equivalent to Newton's law of universal...

Charlotte Waldeck, Gauss's mother-in-law, pleaded with Olbers to try to provide Gauss with another position far from Göttingen. Gauss's first assistant was...

Faraday's law of induction is the dual of Ampère's circuital law. Gauss's law for electric field is the dual of Gauss's law for magnetism. The electric...

This law is a consequence of the empirical observation that magnetic monopoles have never been found. In other words, Gauss's law for magnetism is the...

algebraic varieties Gauss–Newton line – described in Journal for Geometry and Graphics, see also Newton line Gauss's area formula Gauss's lemma in Riemannian...

used in conjunction with Gauss's law for the corresponding field (Gauss's law, Gauss's law for magnetism, or Gauss's law for gravity) by performing a...

the potentials. Faraday's law and Gauss's law for magnetism (the homogeneous equations) turn out to be identically true for any potentials. This is because...

\left({\boldsymbol {\nabla }}\cdot \mathbf {B} \right)\mathbf {B} } because of Gauss's law for magnetism: f = ε 0 [ ( ∇ ⋅ E ) E − E × ( ∇ × E ) ] + 1 μ 0 [ ( ∇ ⋅ B ) B...

examples are Gauss's law (in electrostatics), Gauss's law for magnetism, and Gauss's law for gravity. Continuity equations offer more examples of laws with both...

From Gauss's law for magnetism, ∇ ⋅ H = 0, so − ∇ 2 H = ∇ × J . {\displaystyle -\nabla ^{2}\mathbf {H} =\nabla \times \mathbf {J} .} Using Ohm's law, J...

form of Gauss's law, as desired. Since Coulomb's law only applies to stationary charges, there is no reason to expect Gauss's law to hold for moving charges...

are called solenoidal vector fields.) This property is called Gauss's law for magnetism and is equivalent to the statement that there are no isolated...

automatically satisfy two of Maxwell's equations: Gauss's law for magnetism and Faraday's law. For example, if A {\displaystyle \mathbf {A} } is continuous...

}{\partial t}}\right)\,.} Similarly substituting Gauss's law for magnetism into the curl of Ampère's circuital law (with Maxwell's additional time-dependent...

Gauss's law for magnetism, and the mass continuity equation. The ideal induction equation can be rewritten using a vector identity and Gauss's law for...

from or converge to a point like electric field lines can (see Gauss's law for magnetism). The magnetic field lines follow the longitudinal path of the...

Coulomb's law can be found from Gauss's Law (electrostatic form) and the Biot–Savart law can be deduced from Ampere's Law (magnetostatic form). Lenz's law and...

second of Maxwell's equations is known as Gauss's law for magnetism and, similarly to the first Gauss's law, it describes flux, but instead of electric...

Equation (56) in Maxwell's 1861 paper is Gauss's law for magnetism, ∇ • B = 0. Equation (112) is Ampère's circuital law, with Maxwell's addition of displacement...

for solenoid, which is σωληνοειδές (sōlēnoeidēs) meaning pipe-shaped, from σωλην (sōlēn) or pipe. The magnetic field B (see Gauss's law for magnetism)...

these are: Gauss's law ∇ ⋅ E = ρ ε 0 {\displaystyle \nabla \cdot \mathbf {E} ={\frac {\rho }{\varepsilon _{0}}}} Gauss's law for magnetism ∇ ⋅ B = 0 {\displaystyle...

{\displaystyle \Phi _{M}} is a scalar potential.: 192  Substituting this in Gauss's law gives ∇ 2 Φ M = ∇ ⋅ M . {\displaystyle \nabla ^{2}\Phi _{M}=\nabla \cdot...

unifying electricity, magnetism, and optics into the field of electromagnetism. However, Gauss's interpretation of magnetism is not fully compatible...

magnetic moment, and the magnetic moments of other particles. Gauss's law for magnetism, one of Maxwell's equations, is the mathematical statement that...

between electricity and magnetism, showing that frame of reference determines if an observation follows electric or magnetic laws. It motivates a compact...

)} is the four-current. In magnetostatics and magnetodynamics, Gauss's law for magnetism and Maxwell–Faraday equation are respectively: ∇ ⋅ B = 0 , ∂ B...