Electrodynamics

This course is a continuation of Electrodynamics: An Introduction. Here, we will cover different methods of calculating an electric field. In addition, we will introduce polarization, dielectrics, and how electric fields create dipoles. Learners will • Be able to apply symmetry and other tools to calculate the electric field. • Understand what susceptibility, polarization, and dipoles are. Additionally, students will learn to visualize Maxwell equations in order to apply the derived mathematics to other fields, such as heat/mass diffusion and meso-scale electromechanical properties, and to create patents that could lead to potential innovations in energy storage and harvesting. The approach taken in this course complements traditional approaches, covering a fairly complete treatment of the physics of electricity and magnetism, and adds Feynman’s unique and vital approach to grasping a picture of the physical universe. Furthermore, this course uniquely provides the link between the knowledge of electrodynamics and its practical applications to research in materials science, information technology, electrical engineering, chemistry, chemical engineering, energy storage, energy harvesting, and other materials related fields.

This course is a continuation of Electrodynamics: An Introduction and Electrodynamics: Analysis of Electric Fields. Here, we will introduce magnetostatics and relate it to the material we learned previously. In addition, we will cover the basics of the electromotive force and how it can be used to build different devices. Learners will • Be able to use solutions from electric fields and relate them to other subjects (heat transfer, diffusion, membrane modeling) • Understand Maxwell's equations in the context of magnetostatics • Be introduced to energy and quantum mechanics relating to magnetic forces By relating the concepts in this lecture to other fields, such as heat/mass diffusion, and describing their potential applications, we hope to make this course applicable to our students careers. Because this course covers both basic concepts and device construction, we have designed it to be useful for researchers and industry professionals alike. The approach taken in this course complements traditional approaches, covering a fairly complete treatment of the physics of electricity and magnetism, and adds Feynman’s unique and vital approach to grasping a picture of the physical universe. Furthermore, this course uniquely provides the link between the knowledge of electrodynamics and its practical applications to research in materials science, information technology, electrical engineering, chemistry, chemical engineering, energy storage, energy harvesting, and other materials related fields.

The depth and breadth of electromagnetism, the foundation for many fields including materials science, electrical engineering, and physical chemistry, requires a long, steep, and steady learning curve. This course aims to bridge the gap between the fundamental principles taught in electromagnetism and its practical application to specific fields such as materials, physics, and chemistry related to energy storage and harvesting. The goal of Electrodynamics: An Introduction is to not only teach electromagnetism but also introduce some mathematical tools which can be used to solve problems in the subject. Within these lecture notes, we review vector calculus and explain how to use fields to visualize the topics we cover. This course is dynamic, as the lectures continuously build on previous notes and a variety of explanations are presented for each solution. Since this is a lower level course, we will focus on the simple concept of electrostatics. This has applications in exploring intermolecular forces, and qualities of capacitors. Through this, we relate electromagnetism to more conventionally studied topics and its application to specific research topics related to energy storage and harvesting.