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...

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

the fourth Maxwell's equation (4) results in a similar differential equation for a magnetic field solving the homogeneous Maxwell's equations: ∇ 2 B = μ...

of writing the laws of classical electromagnetism (in particular, Maxwell's equations and the Lorentz force) in a form that is manifestly invariant under...

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

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

weber as unit, see Jackson 1999. In particular, for Maxwell's equations, see section 6.11, equation (6.150), page 273, and for the Lorentz force law, see...

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

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...

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...

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

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

displacement current term. The resulting equation, often called the Ampère–Maxwell law, is one of Maxwell's equations that form the foundation of classical...

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

time for each electric and magnetic vector field component in Maxwell's curl equations. The descriptor "Finite-difference time-domain" and its corresponding...

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

related but physically distinct statements. One is the Maxwell–Faraday equation, one of Maxwell's equations, which states that a time-varying magnetic field...

each system. This means that the equations that express physical laws of electromagnetism—such as Maxwell's equations—will change depending on the system...

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

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...

involves using computer programs to compute approximate solutions to Maxwell's equations to calculate antenna performance, electromagnetic compatibility,...

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

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

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

} is the four-current. The first equation is the Lorenz gauge condition while the second contains Maxwell's equations. The four-potential also plays a...

another", and still satisfy Maxwell's equations. Pre-Maxwell laws : These laws were found before the formulation of Maxwell's equations. They are not fundamental...