electromagnetism
Installation
SKILL.md
What I do
- Analyze electrostatic and magnetostatic fields
- Solve Maxwell's equations in various geometries
- Calculate electromagnetic wave propagation
- Model electromagnetic radiation and antennas
- Analyze reflection, refraction, and diffraction
- Study electromagnetic materials and waveguides
When to use me
When designing electromagnetic devices, analyzing wave propagation, or studying optical systems.
Key Concepts
- Maxwell's Equations: ∇·E = ρ/ε₀, ∇×E = -∂B/∂t, ∇·B = 0, ∇×B = μ₀J + μ₀ε₀∂E/∂t
- Gauss's Law: Electric flux through surface = enclosed charge/ε₀
- Ampère's Law: Magnetic field around current-carrying wire
- Faraday's Law: Changing magnetic flux induces EMF
- Poynting Vector: S = E × H for electromagnetic power flow
- Wave Equation: ∇²E - μ₀ε₀∂²E/∂t² = 0 in vacuum