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...

In electromagnetism, Gauss's law, also known as Gauss's flux theorem or sometimes Gauss's theorem, is one of Maxwell's equations. It is an application...

equations can be written as (top to bottom: Gauss's law, Gauss's law for magnetism, Faraday's law, Ampère-Maxwell law) ∇ ⋅ E = ρ ε 0 ∇ ⋅ B = 0 ∇ × E = − ∂ B...

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...

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...

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...

_{c}} is the local velocity of the boundary at each point. By Gauss's law for magnetism ( ∇ ⋅ B = 0 {\displaystyle \nabla \cdot \mathbf {B} =0} ), the...

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...

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...

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...

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...

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...

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

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...

\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...

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...

Great Men of Science Whose Names are Used in Measuring Electricity and Magnetism. Burgess Publishing Company. pp. 86–107. ISBN 9780808749080. Ronalds,...

{r-r'} \over {|\mathbf {r-r'} |}^{3}}\mathrm {d} ^{3}|\mathbf {r} '|} Gauss's law states that "the total electric flux through any closed surface in free...

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

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...

charges that lie outside the closed surface. While Gauss's law holds for all situations, it is most useful for "by hand" calculations when high degrees of symmetry...

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...

rise to the magnetic field. The other two equations are Gauss's law and Gauss's law for magnetism. Maxwell's equations established that some charges and...

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...

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...

charges, described by Gauss's law, and time varying magnetic fields, described by Faraday's law of induction. Together, these laws are enough to define...

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...

was formulated by Carl Friedrich Gauss. See also Gauss's law for gravity, and Gauss's law for magnetism. Gay-Lussac's law: "The pressure of a fixed mass...

when the animals are under high-voltage power lines, suggesting that magnetism is responsible. Other researchers reported in 2011 that they could not...