Maxwell's equations
E5000
Maxwell's equations are the fundamental set of four equations in classical electromagnetism that describe how electric and magnetic fields are generated and interact with charges and currents.
Aliases (5)
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
equations of electromagnetism
→
set of physical laws → |
| appliesTo |
classical vacuum
→
linear media → time-varying electromagnetic fields → |
| assumes |
charge conservation
→
classical continuous fields → |
| compatibleWith |
special relativity
→
|
| consistsOf |
Ampère–Maxwell law
→
Faraday's law of induction → Gauss's law → Gauss's law for magnetism → |
| describes |
behavior of electric fields
→
behavior of magnetic fields → interaction of fields with electric charges → interaction of fields with electric currents → |
| expressedIn |
differential form
→
integral form → |
| field |
classical electromagnetism
→
classical field theory → |
| form |
set of four partial differential equations
→
|
| formulatedBy |
James Clerk Maxwell
→
|
| formulatedIn |
19th century
→
|
| foundationFor |
classical electrodynamics
→
classical optics → electromagnetic wave theory → |
| generalizedBy |
quantum electrodynamics
→
|
| implies |
existence of electromagnetic waves
→
finite speed of propagation of electromagnetic interactions → |
| namedAfter |
James Clerk Maxwell
→
|
| predicts |
speed of light in vacuum
→
|
| relates |
electric charge density
→
electric current density → electric field → magnetic field → |
| representedUsing |
electromagnetic field tensor
→
|
| satisfies |
Lorentz invariance
→
|
| usedIn |
antenna design
→
computational electromagnetics → electrical engineering → microwave engineering → optical fiber communications → plasma physics → radio engineering → |
| uses |
curl operator
→
divergence operator → vector calculus → |
| validIn |
non-relativistic classical limit
→
|