Maxwell's Equations
★★★★★Graduate+
📖Definition
Maxwell's equations are 4 equations describing electric and magnetic fields. Fundamental laws of electromagnetism.
📐Formulas
∇ · \vecE = (ρ)/(\varepsilon₀)
Gauss's law (electric)
∇ · \vecB = 0
Gauss's law (magnetic) - no monopoles
∇ × \vecE = -\frac∂ \vecB∂ t
Faraday's law - induction
∇ × \vecB = μ₀ \vecJ + μ₀ \varepsilon₀ \frac∂ \vecE∂ t
Ampère-Maxwell law
✏️Examples
예제 1
Derive speed of EM waves from Maxwell's equations.
📜History
Discovered by: James Clerk Maxwell (1865)
Unified experimental laws, added displacement current, predicted light is EM wave
⚡Applications
Communications
Radio waves, antenna design
Optics
Light propagation
Electrical Engineering
Circuits, motor design
🔗Related Documents
→Prerequisites
←Next Topics
↔Related
#맥스웰#전자기학#Maxwell#electromagnetism