Electrodynamics Tutorials with Python Simulations

✍ Scribed by Minjoon Kouh, Taejoon Kouh

• Publisher: CRC Press
• Year: 2024
• Tongue: English
• Leaves: 295
• Category: Library

✦ Synopsis

This book provides an accessible introduction to intermediate-level electrodynamics with computa- tional approaches to complement a traditional mathematical treatment of the subject. It covers key topics in electrodynamics, such as electromagnetic fields, forces, potentials, and waves as well as Special Theory of Relativity.

Through intuition-building examples and visualizations in the Python programming language, it helps readers to develop technical computing skills in numerical and symbolic calculations, modeling and simulations, and visualizations. Python is a highly readable and practical programming language, making this book appropriate for students without extensive programming experience.

This book can serve as an electrodynamics textbook for undergraduate physics and engineering students in their second or third years, who are studying intermediate- or advanced-level electrodynamics and who want to learn techniques for scientific computing at the same time. This book will also appeal to computer science students who want to see how their computer programming skills may be applied to science, particularly to physics, without needing too much background physics knowledge.

Key features

• Major concepts in classical electrodynamics are introduced cohesively through computational

and mathematical treatments.

• Computational examples in Python programming language guide students on how to simulate

and visualize electrodynamic principles and phenomena for themselves.

Taejoon Kouh is a Professor of Nano and Electronic Physics at Kookmin University, Republic of Korea. He earned his B.A. in physics from Boston University and Sc.M. and Ph.D. degrees in physics from Brown University. After his study in Providence, RI, he returned to Boston, MA, and worked as a postdoctoral research associate in the Department of Aerospace and Mechanical Engineering at Boston University. He is a full faculty member in the Department of Nano and Electronic Physics at Kookmin University in Seoul, Korea, teaching and supervising undergraduate and graduate students. His current research involves the dynamics of nanoelectromechanical systems and the development of fast and reliable transduction methods and innovative applications based on tiny motion.

Minjoon Kouh is a program scientist for a philanthropic initiative. He was a Professor of Physics and Neuroscience at Drew University, USA, where he taught more than 30 distinct types of courses. He holds Ph.D. and B.S. degrees in physics from MIT and an M.A. from UC Berkeley. He completed a postdoctoral research fellowship at the Salk Institute for Biological Studies in La Jolla, CA. His research includes computational modeling of the primate visual cortex, information-theoretic analysis of neural responses, machine learning, and pedagogical innovations in undergraduate science education.

✦ Table of Contents

Cover
Half Title
Series Page
Title Page
Copyright Page
Dedication
Contents
Preface
About the authors
Acknowledgment
CHAPTER 1: Hills and Valleys
1.1. CREATING A RANGE OF VALUES WITH PYTHON
1.2. LANDSCAPE OF GAUSSIANS
CHAPTER 2: Vector
2.1. DRAWING A VECTOR WITH PYTHON
2.2. VECTOR PRODUCTS
2.3. VECTOR DECOMPOSITION
2.4. VECTOR CALCULUS
2.5. ADDITIONAL OPERATIONS WITH ∇
CHAPTER 3: Vector Field
3.1. SIMPLE VECTOR FIELDS
3.2. FLUX
3.3. FLUX CALCULATION
3.4. FLUX THROUGH AN ENCLOSURE
3.5. A SPECIAL VECTOR FIELD
CHAPTER 4: Electric Field
4.1. ELECTRIC CHARGES AND COULOMB’S LAW
4.2. SUPERPOSITION PRINCIPLE
4.3. EXAMPLE: INFINITE LINE
4.4. EXAMPLE: CIRCLE
4.5. GAUSS’S LAW
4.6. NUMERICAL VERIFICATION OF GAUSS’S LAW
4.7. LINE AND CIRCLE, AGAIN
4.8. ELECTRIC FIELD IN THREE-DIMENSION
4.9. DIVERGENCE
4.10. GAUSS’S LAW, AGAIN
CHAPTER 5: Magnetic Field
5.1. ELECTRIC CURRENTS AND BIOT-SAVART LAW
5.2. AMPERE’S LAW
5.3. CAUTIONARY EXAMPLE
5.4. EXAMPLE: THICK WIRE
5.5. CURL
5.6. AMPERE’S LAW, AGAIN
CHAPTER 6: Force
6.1. ELECTRIC FORCE
6.2. MAGNETIC FORCE
6.3. LORENTZ FORCE
6.4. THOMSON’S EXPERIMENT
CHAPTER 7: Special Relativity
7.1. ABSOLUTENESS OF PHYSICAL LAWS
7.2. TIME DILATION AND LENGTH CONTRACTION
7.3. LORENTZ TRANSFORMATION
7.4. RELATIVISTIC MOMENTUM AND ENERGY
7.5. RELATIVITY OF ELECTROMAGNETIC FORCES
CHAPTER 8: Potential
8.1. ELECTRIC POTENTIAL
8.2. ELECTRIC CIRCUIT
8.3. RC CIRCUIT
8.4. RC CIRCUIT UNDER AC
8.5. MAGNETIC POTENTIAL
8.6. MATH: SCALAR AND VECTOR POTENTIALS
8.7. POISSON’S EQUATION
8.8. EXAMPLE: ELECTRIC POTENTIAL OF CONTINUOUS CHARGE DISTRIBUTION
8.9. EXAMPLE: MAGNETIC POTENTIAL OF CONTINUOUS CURRENT DISTRIBUTION
CHAPTER 9: Electromagnetic Induction
9.1. MOTIONAL EMF
9.2. FARADAY’S LAW
9.3. LC CIRCUIT
9.4. MAXWELL’S CORRECTION TO AMPERE’S LAW
CHAPTER 10: Maxwell’s Equations and Electromagnetic Wave
10.1. NO MAGNETIC MONOPOLE
10.2. MAXWELL’S EQUATIONS
10.3. WAVE EQUATION FROM MAXWELL’S EQUATIONS
10.4. MONOCHROMATIC PLANE WAVES
Appendix
APPENDIX A: GETTING STARTED WITH PYTHON
APPENDIX B: PYTHON PROGRAMMING BASICS
APPENDIX C: CURVED COORDINATES
APPENDIX D: FIELD LINES
Epilogue
Index