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...

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...

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

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

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 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...

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

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...

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

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

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

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

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....

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...

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

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

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

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

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

field solvers) are specialized programs that solve (a subset of) Maxwell's equations directly. They form a part of the field of electronic design automation...

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

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

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...

_{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...

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

the effect is measured), see figure below. The starting point is Maxwell's equations in the potential formulation using the Lorenz gauge: ◻ φ = ρ ϵ 0...

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