Maxwell's equations, or Maxwell–Heaviside equations, are a set of coupled partial differential equations that, together with the Lorentz force law, form...

Hertz–Heaviside equations and the Maxwell–Hertz equations, but are now universally known as Maxwell's equations. Heaviside's equations, which are taught in textbooks...

field equations (EFE; also known as Einstein's equations) relate the geometry of spacetime to the distribution of matter within it. The equations were...

predicted by Maxwell's equations. In vacuum (or for the microscopic equations, not including macroscopic material descriptions), Maxwell's equations can be...

Maxwell's equations, a set of four partial differential equations which provide a complete description of classical electromagnetic fields. Maxwell's...

by the wave equation coincided with the measured speed of light, Maxwell concluded that light itself is an EM wave. Maxwell's equations were confirmed...

fundamental physical constant. The electromagnetic wave equation derives from Maxwell's equations. In most older literature, B is called the magnetic flux...

electric motors, generators and solenoids. The Maxwell–Faraday equation (listed as one of Maxwell's equations) describes the fact that a spatially varying...

In physics, Maxwell's equations in curved spacetime govern the dynamics of the electromagnetic field in curved spacetime (where the metric may not be...

the particular solutions to Maxwell's equations for any arbitrary distribution of charges and currents. Jefimenko's equations give the electric field E...

modern form of the law, sometimes called the Ampère–Maxwell law, which is one of Maxwell's equations that form the basis of classical electromagnetism....

the electromagnetic field is described by Maxwell's equations and the Lorentz force law. Maxwell's equations detail how the electric field converges towards...

_{0}\mu _{0}={\dfrac {1}{c^{2}}}} is also used. Maxwell's equations can directly give inhomogeneous wave equations for the electric field E and magnetic field...

complexity of Maxwell's theory down to four partial differential equations, known now collectively as Maxwell's Laws or Maxwell's equations. Although potentials...

two of Maxwell's equations (the inhomogeneous equations) are the ones that describe the dynamics in the potential formulation. Maxwell's equations (potential...

accordance with Ampère's circuital law (with Maxwell's addition), which, along with Maxwell's other equations, defines the magnetic field, B {\displaystyle...

displacement current density is the quantity ∂D/∂t appearing in Maxwell's equations that is defined in terms of the rate of change of D, the electric...

they have been known ever since (see Maxwell's equations). Less well known is that Heaviside's equations and Maxwell's are not exactly the same, and in fact...

D), charge density (ρ), and current density (J) is described by Maxwell's equations. The role of the magnetization is described below. The magnetization...

the bound currents. For the differential equivalent of this equation see Maxwell's equations. Ampere's law leads to the boundary condition ( H 1 ∥ − H 2...

established fact from classical electrodynamics, namely the invariance of Maxwell's equations under the interchange of electric and magnetic fields. One of the...

all plasma particles. The essential difference of this system of equations from equations for particles in an external electromagnetic field is that the...

speed of light. For all other definitions and details, see Maxwell's equations. For the equations in nondimensionalized form, remove the factors of c. In...

Electrodynamics of Moving Bodies," explains how to transform Maxwell's equations. This equation considers two inertial frames. The primed frame is moving...

Circuital Law to include Maxwell's displacement current. Eighteen of Maxwell's twenty original equations can be vectorized into six equations, labeled (A) to (F)...

absolute standard of rest".[better source needed] However, according to Maxwell's equations, the charges in the conductor experience a magnetic force in the...

modeling methods (finite difference methods). The time-dependent Maxwell's equations (in partial differential form) are discretized using central-difference...

to the other two Maxwell's equations (the ones that are not automatically satisfied) results in a complicated differential equation that can be simplified...

Maxwell's relations are a set of equations in thermodynamics which are derivable from the symmetry of second derivatives and from the definitions of the...

Birkhoff's theorem concerns spherically symmetric static solutions of Maxwell's field equations of electromagnetism. The theorem is due to George D. Birkhoff...