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Maxwell's equations
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set of partial differential equations that describe how electric and magnetic fields are generated and altered by each other and by charges and currents
Maxwell's equations are a set of mathematical rules that describe how electric and magnetic fields are created and how they interact with each other and with electric charges and currents. These equations form the foundation of our understanding of electricity, magnetism, and light, making them essential to modern technology and physics.
AI-generated from the Wikipedia summary — may contain errors.
Wikidata facts
- Subclass of
- partial differential equation
- Has part
- Ampère's circuital law
- Named after
- James Clerk Maxwell
- Image
- Maxwell'sEquations.svg
Show 8 more facts
- publication date
- 1861-00-00
- Stack Exchange tag
- physics.stackexchange.com/tags/maxwell-equations
- facet of
- classical electromagnetism
- on focus list of Wikimedia project
- Wikipedia:Vital articles/Level/4
- different from
- Maxwell relations
- topic's main category
- Category:Maxwell's equations
- Commons category
- Maxwell's equations
- maintained by WikiProject
- WikiProject Mathematics
via Wikidata · CC0
~40 min read
Encyclopedic overview
Maxwell's equations on a plaque attached to his statue in Edinburgh Maxwell's equations are a set of coupled partial differential equations that describe how electric and magnetic fields are generated by electric charges and currents. Together with the Lorentz force law, they form the foundation of classical electromagnetism, classical optics, electric and magnetic circuits. The equations provide a mathematical model for electric, optical, and radio technologies, such as power generation, electric motors, wireless communication, lenses, radar, etc.
Maxwell's equations have two major variants:
Excerpted from Wikipedia’s “Maxwell's equations” article, available under the CC BY-SA 4.0 licence.
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