One Hundred Applications of Maxwell’s Equations

Maxwell's equations explain the basics of electricity and magnetism. The four equations provide a mathematical model for electric, optical, and radio technologies. And yet, when learning electromagnetic field theory, it is easy to get lost in the complicated mathematics and ignore the applied aspects of it. The purpose of this book is to bridge the gap between theory and applications of Maxwell’s equations.

This book introduces readers to the mathematics of Maxwell’s equations and their uses in both everyday applications such as power generation, electric motors, wireless communication, as well as in scientific research. Each chapter in the book starts with an introduction to a specific Maxwell’s equation followed by examples of ways in which the equation is used.

Chapter 1 Introduction to electromagnetic fields.- Chapter 2 Gauss, Ampere, Faraday, Maxwell, and Einstein.- Chapter 3 Applications of Static electric fields and Maxwell’s first equation.- Chapter 4 Applications of Static magnetic fields and Maxwell’s second equation.- Chapter 5 Applications of Faraday’s Law and Maxwell’s 3rd equation.- Chapter 6 Applications of Ampere’s Law and Maxwell’s 4th equation.- Chapter 7 Maxwell’s modification to the Ampere’s Law.- Chapter 8 Wave propagation in free space.- Chapter 9 Applications of wireless communications.- Chapter 10 Advanced applications in electromagnetic fields in plasma physics.

Ashanthi Maxworth, is an Assistant Professor of Electrical and Computer Engineering at the Department of Engineering, University of Southern Maine. Prof Maxworth has been teaching courses on electromagnetic fields and other subjects since 2016. Her research area is electromagnetic wave propagation in the Earth’s ionosphere and magnetosphere.  Originally from Sri Lanka, Dr. Maxworth received a BSc (Hons) in Electronic and Telecommunications Engineering from the University of Moratuwa, Sri Lanka, in 2010. She received a MSc degree in Engineering and a PhD in Electrical Engineering, from the University of Colorado, Denver, in 2014 and 2017, respectively. Before moving to Maine in 2020, She worked as a postdoctoral fellow at the Department of Physics and Engineering Physics at the University of Saskatchewan, Canada.