Electrodynamics: An Introduction from Coursera

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.

What's inside

Syllabus

Introduction and Basics of Electrostatics

In this module, electrodynamics is introduced by examining the different forces and explaining which are related to electric forces. Furthermore, fields are defined and we differentiate between scalar and vector fields. We cover laws that constitute electrodynamics, specifically Maxwell's equations and the Lorentz force. After explaining how these topics can be illustrated, we also cover how relativity relates to the subject material.

Introduction to Differential Calculus of Vector Fields

This module mainly covers the mathematics behind differential forms of equations. We introduce the ∇ operator and show how it can be used in mathematics. Then, the ∇ operator is proved to be a vector. The Maxwell equations are rewritten in derivative form, and the concepts of divergence and curl are introduced. Finally, we examine the Laplace operator, and other forms of the ∇ operator applied twice.

Introduction to Vector Integral Calculus

This module explains line integrals and presents some equations where they are important. We explain what the flux and circulation of a field are conceptually and how they can be obtain using the divergence and curl through Gauss' and Stokes' theorems respectively. Finally, we explain the qualities of divergence and curl free fields.

Introduction to Electrostatic Solutions

This module covers how to simplify Maxwell's equations in the scenario of electrostatics. Then, we discuss how the electric potential can be used and why using a relative value is useful for certain calculations. The flux out of different geometries is presented, as well as how to display field lines and equipotential surfaces.

The Application of Gauss' Law

This module focusses primarily on electric fields. First, we talk about the mathematical requirements for equilibrium and the implications of finding equilibrium for point charges. Then we move on to describe the electric field coming from different geometries. Finally, we compare the electric fields inside and outside of a conductor and how they create the phenomenon of electric shielding.

Good to know

Know what's good

, what to watch for

, and possible dealbreakers

Introduces concepts with illustrations and various explanations

Provides a strong foundational knowledge for beginners in electromagnetism

Relates electromagnetism to more conventionally studied topics

Covers the basics of Differential Calculus of Vector Fields

Examines key concepts with hands-on labs and interactive materials

Taught by an experienced instructor

Reviews summary

Electrodynamics introduction: theory simplified

Learners say this largely positive course provides a well organized introduction to electrodynamics theory. Many engaging assignments including quizzes help you test your knowledge. Lectures by Professor Seungbum Hong are easy to understand and use helpful visuals that help you visualize concepts. The course is based on Feynman lectures and includes a review of vector calculus concepts such as divergence, gradient, curl, and Gauss's theorem.

Good beginners course

"It is a good beginners course, Dr.Seungbum Hong explains it in a detailed manner"

"Very good and clear lectures. It would be nice if there were explanations/worked solutions to the answers to the quizzes."

"Very good course as an introductory."

Helpful visuals

"i really loved how they explained the topic in detail and having example figures was a plus point! I enjoyed it!"

"Excellent course. Good instruction through lecture videos and the provision of notes in PDF format."

"The lectures are lucid and concise. The lecturers do a fantastic job of giving a deep intuition of the topic and the mathematics behind it."

Test your knowledge

"Quizzes tested the main concepts well."

"This course helped me alot to learn about the eletrodynamics."

"Very comprehensive course on the introduction of electrodynamics!"

Theory made easy

"It seems to me that the quality of explanation becomes lower on week 5 . Beside that , it was really helpful and clear and open minded to me ."

"Thank you for giving a great lecture about electrodynamics. The metaphors to understand the concepts were really helpful."

"Excellent lecture materials with more explanatory concepts. Thank you for your wonderful explanation about the fundamentals."

Clear explanations

"Well explained by professor. Easier to understand."

"Very closely follows Feynman Lectures, but with some extra helpful intuition in talking through examples."

"The explanations are very understandable. The illustrations are presented in such a way that listeners can clearly picture out what's happening."

Some difficult concepts

"in terms of course materials and test materials the curse is very good."

"The course was quite interesting. I learned many new things, formulae, and many other. Thanks a lot."

"it was difficult to comperhend all the form of sturucter however it was very interesting. Thank you dear Seungbum Hong"

Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in Electrodynamics: An Introduction with these activities:

Review Griffiths' Introduction to Electrodynamics

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Strengthen your understanding of electromagnetism by reviewing this classic textbook.

View Introduction to Electrodynamics on Amazon

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Obtain a copy of Griffiths' Introduction to Electrodynamics.
Review key concepts and equations from the book.
Solve practice problems or review solved examples to reinforce your understanding.

Gauss's Law Practice

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Solidify your understanding of Gauss's Law by engaging in these practice exercises.

Browse courses on Gauss's Law

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Collect a set of practice problems on Gauss's Law.
Attempt to solve the problems independently.
Check your solutions against provided answers or consult external resources.

Discuss electromagnetism concepts with peers

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Enhance understanding through discussions and sharing perspectives with peers.

Browse courses on Electromagnetism

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Form a study group with classmates.
Choose a specific electromagnetism concept to discuss.
Take turns explaining the concept to each other.
Ask questions, share insights, and work through problems together.

Nine other activities

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Electrostatic Potential Tutorial

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Enhance your understanding of electrostatic potential with this guided tutorial.

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Find a suitable tutorial online or in a textbook.
Read through the tutorial, taking notes and highlighting key concepts.
Work through the practice problems included in the tutorial.
Summarize the main points of the tutorial in your own words.

Vector Calculus in Electromagnetism

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Enhance your understanding of the mathematical tools used in electromagnetism by following this tutorial.

Browse courses on Vector Calculus

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Identify an online tutorial or textbook on vector calculus in electromagnetism.
Read through the material, taking notes and highlighting key concepts.
Complete the practice problems and exercises included in the tutorial.
Apply your knowledge to solve electromagnetism problems.

Follow tutorials on Maxwell's equations

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Gain a stronger grasp of Maxwell's equations through guided instruction.

Browse courses on Maxwell's Equations

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Search for online tutorials or video lectures on Maxwell's equations.
Choose a tutorial that aligns with your learning style and level of understanding.
Follow the tutorial step-by-step, taking notes and asking questions as needed.
Complete any practice problems or exercises included in the tutorial.

Maxwell Equation Quiz

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Reinforce your understanding of Maxwell's equations by attempting this quiz.

Browse courses on Maxwell Equations

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Visit the quiz website or app.
Start the quiz.
Answer the questions.
Review your score and identify areas for improvement.

Electromagnetism Study Group

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Engage in collaborative learning and discussion of electromagnetism concepts with peers.

Browse courses on Electromagnetism

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Form a study group with fellow students.
Choose a topic or set of problems to discuss.
Meet regularly to share insights, ask questions, and work through problems together.

Create a presentation on electrostatics

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Develop a deeper understanding of electrostatics by explaining it to others.

Browse courses on Electrostatics

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Gather information on electrostatics from the course materials and other sources.
Organize the information into a logical flow.
Create visual aids, such as diagrams and graphs, to illustrate the concepts.
Practice presenting the material.
Present the presentation to classmates or a study group.

Hands-on Electromagnetism Lab

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Gain practical experience with electromagnetism principles through hands-on experiments.

Browse courses on Electromagnetism

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Identify a suitable workshop or lab session.
Register for the workshop.
Attend the workshop and actively participate in the experiments.
Analyze the results and discuss your findings.

Practice vector calculus equations

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Practice applying vector calculus equations to electromagnetism problems.

Browse courses on Vector Calculus

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Review the vector calculus equations covered in the module.
Find practice problems or exercises online or in a textbook.
Solve the practice problems using the vector calculus equations.
Check your answers against solutions or ask for help from a tutor or instructor if needed.

Electromagnetism in Energy Storage

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Apply your knowledge of electromagnetism to explore its applications in energy storage through this project.

Browse courses on Electromagnetism

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Research the role of electromagnetism in energy storage.
Choose a specific aspect of electromagnetism to focus on.
Design and conduct experiments or simulations to demonstrate the principles involved.
Write a report summarizing your findings and insights.

Career center

Learners who complete Electrodynamics: An Introduction will develop knowledge and skills that may be useful to these careers:

Electrostatic Discharge Engineer

Electrostatic Discharge Engineers focus on the behavior of electricity when different materials come into contact. They strive to understand the effects of electricity to help protect electronics from damage while in contact with different materials. This course provides an understanding of the fundamentals of electrostatics, including Gauss' law, the electric potential, and field lines. This knowledge can be applied to the design of products that are less susceptible to electrostatic discharge.

See salaries and explore the career path for Electrostatic Discharge Engineer

Electromagnetic Compatibility Engineer

Electromagnetic Compatibility Engineers are responsible for ensuring that electrical and electronic devices comply with electromagnetic compatibility (EMC) regulations. They design and test products to meet EMC standards, ensuring that they do not emit excessive electromagnetic radiation. This course provides a foundation in electromagnetism, including Maxwell's equations and the Lorentz force. This knowledge can be applied to the design of EMC-compliant products.

See salaries and explore the career path for Electromagnetic Compatibility Engineer

Electrical Engineer

Electrical Engineers design, develop, and maintain electrical systems. They work in various industries, including power generation, transmission, and distribution, as well as electronics and telecommunications. This course provides a strong foundation in electromagnetism, including the concepts of fields, potentials, and waves. This knowledge is essential for the design and analysis of electrical systems.

See salaries and explore the career path for Electrical Engineer

Electronics Engineer

Electronics Engineers design, develop, and maintain electronic devices and systems. They work in various industries, including consumer electronics, medical devices, and telecommunications. This course provides a foundation in electromagnetism, including the concepts of fields, potentials, and waves. This knowledge is essential for the design and analysis of electronic devices and systems.

See salaries and explore the career path for Electronics Engineer

Materials Scientist

Materials Scientists study the properties of materials and develop new materials with tailored properties. They work in various industries, including aerospace, automotive, and electronics. This course provides a foundation in electromagnetism, including the concepts of fields, potentials, and waves. This knowledge can be applied to the design of new materials with improved electrical properties.

See salaries and explore the career path for Materials Scientist

Physicist

Physicists study the fundamental laws of nature and matter. They work in various fields, including astrophysics, particle physics, and condensed matter physics. This course provides a strong foundation in electromagnetism, including the concepts of fields, potentials, and waves. This knowledge is essential for understanding the fundamental laws of nature.

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Semiconductor Device Engineer

Semiconductor Device Engineers design, develop, and manufacture semiconductor devices. They work in various industries, including consumer electronics, telecommunications, and computing. This course provides a foundation in electromagnetism, including the concepts of fields, potentials, and waves. This knowledge is essential for the design and analysis of semiconductor devices.

See salaries and explore the career path for Semiconductor Device Engineer

Biophysicist

Biophysicists use the principles of physics to study biological systems. They work in various fields, including molecular biology, cell biology, and medical physics. This course may be useful for biophysicists interested in understanding the electrical properties of biological systems.

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Chemical Engineer

Chemical Engineers design, develop, and operate chemical plants and processes. They work in various industries, including pharmaceuticals, food, and energy. This course may be useful for chemical engineers interested in understanding the electrical properties of materials and processes.

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Geophysicist

Geophysicists study the physical properties of the Earth and its atmosphere. They work in various fields, including oil and gas exploration, environmental science, and natural hazards. This course may be useful for geophysicists interested in understanding the electrical properties of the Earth.

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Mechanical Engineer

Mechanical Engineers design, develop, and maintain mechanical systems. They work in various industries, including automotive, aerospace, and manufacturing. This course may be useful for mechanical engineers interested in understanding the electrical properties of materials and systems.

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Nuclear Engineer

Nuclear Engineers design, develop, and operate nuclear reactors. They work in various fields, including power generation, medical imaging, and nuclear weapons. This course may be useful for nuclear engineers interested in understanding the electrical properties of nuclear materials and systems.

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Optical Engineer

Optical Engineers design, develop, and test optical systems. They work in various industries, including telecommunications, lasers, and imaging. This course may be useful for optical engineers interested in understanding the electrical properties of optical materials and systems.

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Systems Engineer

Systems Engineers design, develop, and integrate complex systems. They work in various industries, including aerospace, defense, and healthcare. This course may be useful for systems engineers interested in understanding the electrical properties of complex systems.

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Software Engineer

Software Engineers design, develop, and maintain software applications. They work in various industries, including technology, finance, and healthcare. This course may be useful for software engineers interested in developing software applications that interact with electrical systems.

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