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Electromagnetism

Electromagnetism

Contents

  1. Maxwell”s Equations
  2. Electrostatics
  3. Magnetostatics
  4. Electrodynamics
  5. Electromagnetic Waves
  6. Potentials and Gauge Transformations
  7. Special Relativity and Electromagnetism
  8. Problem Set
  9. Waveguides and Cavities
  10. Radiation from Accelerating Charges
  11. Advanced Electrodynamics
  12. Special Relativity and Electromagnetism
  13. Plasma Physics: Brief Overview

Overview

University-level electromagnetism notes covering Maxwell’s equations, electrodynamics, and relativity.

Topics Covered

  • Electrostatics: Coulomb’s law, Gauss’s law, potentials, boundary value problems
  • Magnetostatics: Biot-Savart law, Ampere’s law, magnetic materials
  • Electrodynamics: Faraday’s law, displacement current, electromagnetic waves
  • Relativity: Four-vectors, Lorentz transformations, relativistic electrodynamics

Prerequisites

  • Vector calculus (divergence, curl, line integrals)
  • Differential equations (ordinary and partial)
  • Linear algebra (vectors, matrices)
  • Basic special relativity (helpful but not required)

How to Use These Notes

Start with Maxwell’s equations to understand the foundations, then progress to electrodynamics and relativity. Each section includes worked examples and practice problems.

Use the sidebar to browse topics, or start with the introductory pages linked from the sidebar.

Additional Resources

Each section includes:

  • Detailed explanations of key concepts
  • Worked examples with step-by-step solutions
  • Practice problems with answers
  • Common pitfalls and how to avoid them
  • Connections to other areas of physics

Study Tips

  1. Master Maxwell’s equations: Understand the physical meaning of each equation
  2. Practise problems: Work through many problems to build intuition
  3. Draw diagrams: Visualise electric and magnetic fields
  4. Learn symmetry arguments: Use Gauss’s law and Ampere’s law effectively
  5. Connect to modern physics: Relate electromagnetism to quantum electrodynamics and optics