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...

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

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

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

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...

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

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

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...

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

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

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....

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

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

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...

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...

magnetic flux density). The extended Maxwell's equations are as follows, in CGS-Gaussian units: In these equations ρm is the magnetic charge density, jm...

homogeneous electromagnetic wave equations. The equations follow from Maxwell's equations. For reference, Maxwell's equations are summarized below in SI units...

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

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)...

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...

today. It summarizes Maxwell's many innovative technical advances and displays, in Maxwell’s birthplace, the history of Maxwell's family. The Foundation...

from Maxwell's equations and assuming that charges are either fixed or move as a steady current J {\displaystyle \mathbf {J} } , the equations separate...

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

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

derivative. The four-current appears in two equivalent formulations of Maxwell's equations, in terms of the four-potential when the Lorenz gauge condition is...

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