electromagnetism

## 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