Classical Electrodynamics

Here are my notes for undergraduate classical electrodynamics. This course uses as its primary textbook Introduction to Electrodynamics (Fourth Edition) by David J. Griffiths and Engineering Electromagnetics (Third Edition) by Nathan Ida.

As with all my notes these will be converted from hand written notes into a format suitable for computational work using Jupyter Notebooks. This is one of the first classes I am taking while trying to keep my notes updated in Jupyter Notebooks so I’m still figuring out much of how I want to write and convert these notes.

In addition to my class notes there is also a web and mobile friendly version of David J. Griffiths Introduction to Electrodynamics Fourth Edition. This is a nearly complete copy of the notes by PeppyHare on GitHub but instead of using Hugo I am using Jupyter Book. Some of the elements of the original notes were not working well on PeppyHare’s site so I am simply updating some of the formatting. There are still some issues with the web version of the book that I need to figure out but its mostly complete.

Before we begin

These notes will mostly be written in Jupyter Notebooks and then converted to HTML by the jupyter {book} project. The notes comprise of several Jupyter Notebooks so the second cell in each notebook will include the imports. Generally I will hide these cells from view with a dropdown box.

Contents

Contents

Book Notes

• Chapter 1: Vector Analysis
  • 1.1 Vector Algebra
  • 1.2: Differential Calculus
  • 1.3: Integral Calculus
  • 1.4: Curvilinear Coordinates
  • 1.5: The Dirac Delta Function
  • 1.6: The Theory of Vector Fields
• Chapter 2: Electrostatics
  • 2.1: The Electric Field
  • 2.2: Divergence and Curl of Electrostatic Fields
  • 2.3: Electric Potential
  • 2.4: Work and Energy in Electrostatics
  • 2.5: Conductors
• Chapter 3: Potentials
  • 3.1: Laplace’s Equation
  • 3.2: The Method of Images
  • 3.3: Separation of Variables
  • 3.4: Multipole Expansion
• Chapter 4: Electric Fields in Matter
  • 4.1: Polarization
  • 4.2: The Field of a Polarized Object
  • 4.3: The Electric Displacement
  • 4.4: Linear Dielectrics
• Chapter 5: Magnetostatics
  • 5.1: The Lorentz Force Law
  • 5.2: The Biot-Savart Law
  • 5.3: The Divergence and Curl of \(\vec{B}\)
  • 5.4: Magnetic Vector Potential
• Chapter 6: Magnetic Fields in Matter
  • 6.1: Magnetization
  • 6.2: The Field of a Magnetized Object
  • 6.3: The Auxiliary Field H
  • 6.4: Linear and Nonlinear Media
• Chapter 7: Electrodynamics
  • 7.1 Electromotive Force
  • 7.2: Electromagnetic Induction
  • 7.3: Maxwell’s Equations
• Chapter 8: Conservation Laws
  • 8.1: Charge and Energy
  • 8.2: Momentum
• Chapter 9: Electromagnetic Waves
  • 9.1 Electromagnetic Waves in One Dimension
  • 9.2 Electromagnetic Waves in a Vacuum
  • 9.3 Electromagnetic Waves in Matter
  • 9.4 Absorption and Dispersion
  • 9.5 Guided Waves
• Chapter 10: Potentials and Fields
  • 10.1 The Potential Formulation
  • 10.2 Potentials and Fields
  • 10.3 Point Charges
• Chapter 11: Radiation
  • 11.1 Dipole Radiation

References

• Formulas