Mathematical descriptions of the electromagnetic field

There are various mathematical descriptions of the electromagnetic field that are used in the study of electromagnetism, one of the four fundamental interactions of nature. In this article, several approaches are discussed, although the equations are in terms of electric and magnetic fields, potentials, and charges with currents, generally speaking.

Electromagnetism
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Electrostatics Electric charge Coulomb's law Conductor Charge density Permittivity Electric dipole moment Electric field Electric potential Electric flux / potential energy Electrostatic discharge Gauss's law Induction Insulator Polarization density Static electricity Triboelectricity
Magnetostatics Ampère's law Biot–Savart law Gauss's law for magnetism Magnetic field Magnetic flux Magnetic dipole moment Magnetic permeability Magnetic scalar potential Magnetization Magnetic vector potential Right-hand rule
Electrodynamics Lorentz force law Electromagnetic induction Faraday's law Lenz's law Displacement current Maxwell's equations Electromagnetic field Electromagnetic pulse Electromagnetic radiation Larmor formula Bremsstrahlung Cyclotron radiation Synchrotron radiation Maxwell tensor Poynting vector Liénard–Wiechert potential Jefimenko's equations Eddy current London equations
Electrical network Alternating current Capacitance Direct current Electric current Electrolysis Current density Joule heating Electromotive force Impedance Inductance Ohm's law Parallel circuit Resistance Resonant cavities Series circuit Voltage Waveguides Network analysis
Magnetic circuit Gyrator–capacitor model Magnetic complex reluctance Magnetic reluctance Magnetomotive force Permeance
Covariant formulation Electromagnetism and special relativity Electromagnetic tensor stress–energy tensor Four-current Four-potential Mathematical descriptions Maxwell's equations in curved spacetime
Scientists Ampère Biot Coulomb Davy Einstein Faraday Fizeau Gauss Heaviside Henry Hertz Hopkinson Jefimenko Joule Kelvin Lenz Liénard Lorentz Maxwell Neumann Ørsted Ohm Poynting Ritchie Savart Singer Steinmetz Tesla Volta Weber Wiechert Poisson

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