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The 90 pages that link to Maxwell's equations, each with the reason it gives.

• Electromagnetic spectrumRelated: They predict electromagnetic waves and their propagation through vacuum.

• James Clerk MaxwellBroader topic: They state the unified field theory Maxwell developed across his work.

• Special relativityRelated: Their prediction of electromagnetic waves at a fixed speed conflicted with Galilean velocity addition.

• Electromagnetic radiationRelated: Their wave solutions show that changing electric and magnetic fields can propagate through space.

• Ohm's lawNarrower topic: They provide a broader field-level framework than this component-level law.

• Plasma physicsRelated: They supply the field laws coupled to plasma particles and currents.

• Speed of lightNarrower topic: Their wave solutions revealed a characteristic electromagnetic speed matching measured light speed.

• ElectromagnetismBroader topic: They summarize how fields are sourced, constrained, and changed in classical electromagnetism.

• Green's functionRelated: Electromagnetic Green's functions calculate fields from specified currents and charges.

• MagnetohydrodynamicsNarrower topic: They provide the electromagnetic laws that are simplified in fluid-scale models.

• Wave equationRelated: In vacuum, Maxwell's equations imply wave equations for electromagnetic fields.

• Lorentz transformationRelated: Their light-speed prediction prompted the search for transformations compatible with electromagnetism.

• Faraday's law of inductionNarrower topic: Faraday's law is one of the equations in this broader framework.

• Differential formRelated: Differential forms express the equations compactly and independently of coordinates.

• Kirchhoff's circuit lawsNarrower topic: They provide the broader field theory behind circuit laws and their limits.

• Magnetic fluxNarrower topic: Magnetic flux appears in the integral forms of these field laws.

• DivergenceRelated: Their divergence equations relate fields to electric charge and magnetic monopole density.

• Electromagnetic fieldRelated: Their synthesis turned the field into a unified predictive theory.

• Hendrik LorentzNarrower topic: Lorentz developed his electromagnetic theory by extending Maxwell’s account of fields and light.

• Mie scatteringNarrower topic: Lorenz–Mie theory solves these equations for a sphere illuminated by a wave.

• Heinrich HertzNarrower topic: Their predicted wave solutions supplied the theoretical target for Hertz’s experiments.

• Geometrical opticsNarrower topic: They provide a broader framework from which ray optics can emerge as an approximation.

• Vacuum permittivityNarrower topic: ε₀ appears in the equations governing electric fields and electromagnetic waves.

• Magnetic monopoleRelated: A magnetic charge would add source terms to the equations for magnetic fields.

• Newton's third lawRelated: Their field-based account exposed limits of treating forces as instantaneously paired between bodies.

• Skin effectNarrower topic: Their field relations yield the frequency-dependent current distribution in conductors.

• Biot–Savart lawNarrower topic: The law is consistent with their magnetostatic limit, but is not the general time-dependent field solution.

• CurlRelated: Their curl equations relate changing fields to induced circulation.

• Fresnel equationsNarrower topic: They supply the field laws whose interface boundary conditions yield Fresnel relations.

• Radio waveRelated: They predict electromagnetic waves and govern their interaction with charges and currents.

• Ampère's circuital lawNarrower topic: The corrected circuital law is one of the four equations.

• André-Marie AmpèreRelated: These equations incorporated and extended Ampère’s account of current and magnetic fields.

• Electromagnetic interactionRelated: They unify classical electricity, magnetism, and electromagnetic waves.

• Wave theory of lightRelated: They show that electromagnetic disturbances can propagate as light.

• Gauss's lawNarrower topic: Gauss's law is the electric-field divergence equation within this set.

• MagnetismRelated: They relate magnetic fields to currents, changing electric fields, and induction.

• Nonlinear opticsNarrower topic: They connect material polarization to the propagation of optical fields.

• Vector calculusRelated: Their differential forms use divergence and curl to state electromagnetic laws locally.

• ElectricityNarrower topic: They unify electricity with magnetism and describe classical electromagnetic phenomena.

• Klein–Gordon equationCompared with: They describe a massless spin-one field, contrasting with the massive scalar field’s dynamics.

• Oliver HeavisideRelated: Heaviside reduced Maxwell’s original formulation to the compact vector equations now widely used.

• PhysicsBroader topic: They show how changing fields propagate as electromagnetic waves.

• Exterior derivativeRelated: Differential forms express the equations compactly using the exterior derivative and spacetime geometry.

• Hyperbolic partial differential equationRelated: In suitable formulations, electromagnetic fields obey hyperbolic evolution equations.

• Wave opticsRelated: They provide the classical electromagnetic foundation for light’s wave behavior.

• Classical electromagnetismBroader topic: They state the field laws at the heart of classical electromagnetism.

• Joseph HenryNarrower topic: They later unified the electromagnetic phenomena that Henry investigated experimentally.

• Kirchhoff's current lawNarrower topic: The field equations provide the broader framework behind charge continuity and circuit laws.

• Lenz's lawNarrower topic: Faraday's induction equation expresses Lenz's law within the broader field theory.

• Classical field theoryBroader topic: They provide the defining field equations of classical electromagnetism.