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formulate-maxwell-equations - Formulate Maxwell Equations

Analyzes electromagnetic fields, waves, energy transport, and material interfaces using Maxwell's equations in integral and differential form.

Tags

Updated: 2026-10-04

Capabilities

Typical Inputs

Typical Outputs

What this skill does

  • State Maxwell equations
  • Select equation forms
  • Apply boundary conditions
  • Reduce equations using symmetry
  • Solve field PDEs
  • Compute energy-flow quantities
  • Verify static and wave limits

Inputs

  • Physical configuration
  • Source charges and currents
  • Material properties
  • Target quantity
  • Symmetry information
  • Time dependence
  • Boundary conditions

Outputs

  • Solved electromagnetic fields
  • Derived wave equations
  • Boundary-condition results
  • Poynting vector
  • Radiation pressure
  • Wave impedance
  • Dispersion relations
  • Eigenvalue spectra

Requirements

  • Read tool access
  • Grep tool access
  • Glob tool access
  • WebFetch tool access
  • WebSearch tool access

Source

  • Spec: SKILL.md

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electromagnetism
Maxwell equations
electromagnetic waves
Poynting vector
boundary conditions
State Maxwell equations
Select equation forms
Apply boundary conditions
Reduce equations using symmetry
Physical configuration
Source charges and currents
Material properties
Solved electromagnetic fields
Derived wave equations
Boundary-condition results