Electromagnetism

Electric and magnetic field theory

ffsshhttiikk 2a0095f 972 B Updated

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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

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