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The differential equations relating electric and magnetic fields to charge and current and governing electromagnetic induction and radiation.
wp-physics-maxwell_equationsnlab-physics-maxwell_equationstong-emEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
The homogeneous Maxwell equation is and the sourced equation uses the Hodge dual and current form.
A mathematical concept supplies part of the formal language, state space, representation, or analytic machinery used by a scientific or mathematical-physics concept. The source is the mathematical predecessor; this does not claim that physical content follows from mathematics alone.
wp-physics-maxwell_equationsnlab-physics-maxwell_equationswp-de_rham_complexnlab-de_rham_complexThis is an authored directed relation from the source endpoint to the target endpoint.
Charge and current form the conserved source in Maxwell equations.
The source supplies a substantive formal ingredient, dynamical sector, law, field content, or mechanism of the target theoretical framework.
wp-physics-electric_four_currenttong-emwp-physics-maxwell_equationsnlab-physics-maxwell_equationsThis is an authored directed relation from the source endpoint to the target endpoint.
Maxwell’s equations incorporated and generalized Faraday’s empirical induction law.
The source experiment, observation, anomaly, or problem materially motivated the development, revision, or acceptance of the target concept. Historical influence is not logical derivation; the edge detail states the documented role and avoids retrospective origin myths.
wp-physics-faraday_induction_experimentsroyal-institution-faradayThis is an authored directed relation from the source endpoint to the target endpoint.
The Hodge star enters the metric-dependent Maxwell equation in differential-form notation.
A mathematical concept supplies part of the formal language, state space, representation, or analytic machinery used by a scientific or mathematical-physics concept. The source is the mathematical predecessor; this does not claim that physical content follows from mathematics alone.
wp-hodge_star_operatornlab-hodge_star_operatortong-emtong-grwp-physics-maxwell_equationsnlab-physics-maxwell_equationsEach relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Maxwell equations supply the field equations of classical electromagnetism.
The source supplies a substantive formal ingredient, dynamical sector, law, field content, or mechanism of the target theoretical framework.
wp-physics-maxwell_equationswp-physics-classical_electromagnetismThis is an authored directed relation from the source endpoint to the target endpoint.
Maxwell equations govern the electromagnetic field with specified sources.
A theory, law, or interaction describes the behavior of the target within a stated regime. The edge detail must state important limits or qualifications.
wp-physics-maxwell_equationsnlab-physics-maxwell_equationswp-physics-electromagnetic_fieldnlab-physics-electromagnetic_fieldThis is an authored directed relation from the source endpoint to the target endpoint.
In source-free regions, Maxwell’s equations imply wave equations for the propagating transverse electromagnetic degrees of freedom.
Record a genuine theorem implication that is not part of the target definition; these edges may point toward a weaker structure.
wp-physics-electromagnetic_wavenlab-physics-electromagnetic_waveThis is an authored directed relation from the source endpoint to the target endpoint.
Hertz observed reflection, interference, polarization, and finite-speed propagation consistent with Maxwellian electromagnetic waves.
The source theory, law, entity, prediction, or structural claim is directly tested, supported, constrained, or established by the target experiment or observation. Experimental support is not final logical proof; the edge detail states exactly what was measured.
wp-physics-hertz_electromagnetic_wave_experimentsaps-hertztong-emThis is an authored directed relation from the source endpoint to the target endpoint.
Maxwell's equations lead to Poynting's theorem, relating the divergence of energy flux to the time change of field energy and work done on matter under the stated constitutive assumptions.
A theory, law, or interaction describes the behavior of the target within a stated regime. The edge detail must state important limits or qualifications.
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