Electrodynamics

Preface

This book is going to cover the topic of electrodynamics using vector calculus. We will provide a brief refresher to the topics of vector calculus, but this book does not intend to teach that topic to students who do not have any background in it. For more information about calculus and vector calculus topics, see Calculus and Linear Algebra. Because this book is part of a series of books on Modern Physics, the reader is assumed to have a background in relativity theory, or to be able to concurrently read the Special Relativity book.

This book is going to discuss the electric and magnetic fields and forces, and related subjects. It is intended to be read by advanced undergraduates in the field of physics or engineering.

This book is new and needs a lot of work. This is a wiki, so you can contribute.

Table of Contents

• Introduction
• History
• Vector Calculus Review

Electrostatics

• Electric Charge
• Coulombs Law
• Electric Field
• Gauss's Law
• Electric Energy
• Ohm's Law
• Laplace's Equation

Magnetostatics

• Magnetic Fields
• Biot-Savart Law
• Magnetic Potential
• Ampere's Law
• Magnetization
• Lorentz Force

Electrodynamics

• Faraday's Law
• Maxwell's Four Equations
• Solving Maxwell's Equations
• Poynting Vector
• Electromagnetic Mass
• Displacement Current
• Conservation Theorems
• Energy and Potentials

Electric Materials

• Dipoles and Multipoles
• Conductors
• Dielectrics

Electromagnetic Waves

• Electromagnetic Radiation
• Lienard-Wiechert Potentials
• Radiation Fields
• Polarization

See also: Waves

Tensor Calculus

• Tensors
• Electrostatic Stress Tensor
• Magnetic Stress Tensor

Relativity

• Lorentz Transformation
• Four-Vectors
• Electromagnetic Field Tensors
• Maxwell's Equations
• Magnetic Monopoles
• Relativistic Electromagnetism

Resources and Licensing

• Glossary
• List of Equations
• Units and Labels
• Notation
• Resources
• Licensing