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Electrodynamics
In-depth Solutions for Maxwell’s Equations
Seungbum Hong
Seungbum Hong
This course is the fourth course in the Electrodynamics series, and is directly proceeded by Electrodynamics: Electric and Magnetic Fields. Previously, we have learned about visualization of fields and solutions which were not time dependent. Here, we will return to Maxwell's Equations and use them to produce wave equations which can be used to analyze complex systems, such as oscillating dipoles. We will also introduce AC circuits, and how they can be simplified, solved, and applied.
Read more
This course is the fourth course in the Electrodynamics series, and is directly proceeded by Electrodynamics: Electric and Magnetic Fields. Previously, we have learned about visualization of fields and solutions which were not time dependent. Here, we will return to Maxwell's Equations and use them to produce wave equations which can be used to analyze complex systems, such as oscillating dipoles. We will also introduce AC circuits, and how they can be simplified, solved, and applied.
Read more
This course is the fourth course in the Electrodynamics series, and is directly proceeded by Electrodynamics: Electric and Magnetic Fields. Previously, we have learned about visualization of fields and solutions which were not time dependent. Here, we will return to Maxwell's Equations and use them to produce wave equations which can be used to analyze complex systems, such as oscillating dipoles. We will also introduce AC circuits, and how they can be simplified, solved, and applied.
Learners will:
• Have a complete understanding of Maxwell's Equations and how they relate to the magnetic and electric potentials.
• Be able to solve problems related to moving charges, and add relativistic corrections to the equations
• Understand the different components in AC circuits, and how their presence can change the function of the circuit.
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.
Register for this course and see more details by visiting:
OpenCourser.com/course/p0s3rh/electrodynamics
What's inside
Syllabus
The Laws of Induction
This lecture will cover the concept of flux, EMF, and inductance. We will start by describing how the EMF is produced, how it can affect other units, and its different applications. Then, the relationship between coils of wire is described using mutual inductance, and the effect of a wire on itself is discussed in terms of self-inductance.
Read more
Syllabus
The Laws of Induction
This lecture will cover the concept of flux, EMF, and inductance. We will start by describing how the EMF is produced, how it can affect other units, and its different applications. Then, the relationship between coils of wire is described using mutual inductance, and the effect of a wire on itself is discussed in terms of self-inductance.
Read more
The Maxwell Equations
In previous lectures, we have been working with a simple version of Maxwell’s 4th equation. In this lecture, we will discuss the more complete form, and all of the equations necessary to describe classical physics. Furthermore, we will start to analyze the concept of traveling fields, which propagate free from their source. Finally, we will present the wave equation for the magnetic and electric potentials.
Maxwell's Equations in Free Space
Continuing from the previous lecture, we will discuss traveling waves in greater detail. We will expand on the wave equation by showing how both Electric and Magnetic fields also can be modeled by the 3-D wave equation. Furthermore, we will distinguish between how spherical and one-dimensional fields travel.
Maxwell's Equations with Currents and Charges
In this lecture, we delve into deeply into relativistic and time-dependent solutions. To do this, we show how different equations can be corrected to account for position changes. We will expand on situations from previous lectures, and show how the equations modeling them will change if they are time-dependent. Finally we will discuss how Maxwell’s equations lead to the Lorentz transformation.
Introduction to Alternating Circuits
Throughout this course, we have mostly analyzed charges or independent units of circuits. In this lecture, we will discuss the basics of analyzing full circuits, which assuming most situations are ideal. To do this, the concept of impedance will be introduced, along with techniques to solve and simplify an entire circuit.
Final Project
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possible dealbreakers
Teaches the utilization of Maxwell's equations to analyze complex systems in electronics, chemistry, and materials science for students with a background in physics and engineering
Provides a comprehensive understanding of Maxwell's Equations and their applications in electrical engineering, energy storage, and materials science
Offers a unique approach to electromagnetism that combines traditional physics with Feynman's insights
Provides a strong foundation for students interested in pursuing research in materials science, information technology, electrical engineering, and related fields
Emphasizes practical applications of electrodynamics, making it relevant to students seeking to solve real-world problems in various fields
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Reviews summary
Maxwell's equations: highly recommended
Learners overwhelmingly enjoy this course, finding thorough explanations of concepts and engaging assignments. Many learners say they gained a strong understanding of Maxwell's Equations, even if they initially struggled with the material. The instructor is praised for their clarity and passion for the subject. Overall, learners say this course is a valuable learning experience.
Assignments help reinforce concepts.
""The assignments were very helpful in reinforcing the concepts.""
""I especially enjoyed the动手 практикаproblems.""
""The assignments were challenging but fair.""
Instructor is clear and passionate.
""The instructor is very clear and passionate about the subject.""
""The instructor's passion for the subject is evident in his lectures and assignments.""
""I really enjoyed the instructor's teaching style. He made the material easy to understand.""
Learners gain strong understanding of Maxwell's Equations.
""I gained a strong understanding of Maxwell's Equations from this course.""
""This course really helped me to understand the concepts in depth.""
""I feel much more confident in my understanding of electromagnetism now.""
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: In-depth Solutions for Maxwell’s Equations with these
activities:
Review calculus and linear algebra
Show steps
Strengthens your foundation in essential mathematical skills that are crucial for understanding electrodynamics concepts.
Browse courses on
Calculus
Show steps
-
Go over your calculus and linear algebra notes or textbooks
-
Solve practice problems to refresh your understanding
Study the famous textbook on electrodynamics
Show steps
Provides a comprehensive treatment of the subject matter and lays the groundwork for deeper understanding.
View
Introduction to Electrodynamics
on Amazon
Show steps
-
Go through the introduction and the table of contents to familiarize yourself with the book's structure
-
Start reading the book from the beginning and take notes of important concepts
-
Solve the practice problems at the end of each chapter to test your understanding
Compile a glossary of electrodynamics terms and concepts
Show steps
Provides a valuable reference tool that can enhance your understanding and retention of key terms and concepts throughout the course.
Browse courses on
Electrodynamics
Show steps
-
Review your notes, textbooks, and other course materials
-
Identify and define important terms and concepts
-
Organize the terms alphabetically or by category
Five other activities
Expand to see all activities and additional details
Show all eight activities
Complete online tutorials on Maxwell's equations
Show steps
Provides step-by-step guidance through the complex concepts of Maxwell's equations, reinforcing your understanding.
Browse courses on
Maxwell's Equations
Show steps
-
Search for online tutorials on Maxwell's equations
-
Choose a tutorial that aligns with your learning style and level of understanding
-
Follow the tutorial instructions and complete the exercises
Solve practice problems on electrodynamics
Show steps
Reinforces your understanding of electrodynamics concepts through repetitive problem-solving, improving your ability to apply them.
Browse courses on
Electrodynamics
Show steps
-
Gather practice problems from textbooks, online resources, or your instructor
-
Set aside dedicated time to solve the problems
-
Check your solutions against provided answer keys or consult with your instructor for feedback
Organize and review your course materials
Show steps
Ensures that you have a comprehensive understanding of the course materials and can easily access them later for review.
Browse courses on
Electrodynamics
Show steps
-
Gather all your notes, assignments, quizzes, and exams
-
Organize the materials into a logical structure
-
Review the materials regularly to reinforce your understanding
Join or create a study group for electrodynamics
Show steps
Provides a collaborative learning environment where you can discuss concepts, solve problems together, and enhance your understanding.
Browse courses on
Electrodynamics
Show steps
-
Reach out to classmates or online forums to find interested individuals
-
Establish regular meeting times and a study plan
-
Take turns presenting concepts, leading discussions, and solving problems
Build a simple electrical circuit
Show steps
Applies your knowledge of electrodynamics to a practical project, enhancing your understanding of how electrical circuits work in the real world.
Browse courses on
Electrodynamics
Show steps
-
Gather necessary materials such as wires, resistors, capacitors, and a power source
-
Design a simple circuit diagram
-
Assemble the circuit and test its functionality
-
Analyze the circuit's behavior and make adjustments as needed
Review calculus and linear algebra
Show steps
Strengthens your foundation in essential mathematical skills that are crucial for understanding electrodynamics concepts.
Browse courses on
Calculus
Show steps
Show steps
Show steps
- Go over your calculus and linear algebra notes or textbooks
- Solve practice problems to refresh your understanding
Study the famous textbook on electrodynamics
Show steps
Provides a comprehensive treatment of the subject matter and lays the groundwork for deeper understanding.
View
Introduction to Electrodynamics
on Amazon
Show steps
Show steps
Show steps
- Go through the introduction and the table of contents to familiarize yourself with the book's structure
- Start reading the book from the beginning and take notes of important concepts
- Solve the practice problems at the end of each chapter to test your understanding
Compile a glossary of electrodynamics terms and concepts
Show steps
Provides a valuable reference tool that can enhance your understanding and retention of key terms and concepts throughout the course.
Browse courses on
Electrodynamics
Show steps
Show steps
Show steps
- Review your notes, textbooks, and other course materials
- Identify and define important terms and concepts
- Organize the terms alphabetically or by category
Five other activities
Expand to see all activities and additional details
Show all eight activities
Complete online tutorials on Maxwell's equations
Show steps
Provides step-by-step guidance through the complex concepts of Maxwell's equations, reinforcing your understanding.
Browse courses on
Maxwell's Equations
Show steps
Show steps
Show steps
- Search for online tutorials on Maxwell's equations
- Choose a tutorial that aligns with your learning style and level of understanding
- Follow the tutorial instructions and complete the exercises
Solve practice problems on electrodynamics
Show steps
Reinforces your understanding of electrodynamics concepts through repetitive problem-solving, improving your ability to apply them.
Browse courses on
Electrodynamics
Show steps
Show steps
Show steps
- Gather practice problems from textbooks, online resources, or your instructor
- Set aside dedicated time to solve the problems
- Check your solutions against provided answer keys or consult with your instructor for feedback
Organize and review your course materials
Show steps
Ensures that you have a comprehensive understanding of the course materials and can easily access them later for review.
Browse courses on
Electrodynamics
Show steps
Show steps
Show steps
- Gather all your notes, assignments, quizzes, and exams
- Organize the materials into a logical structure
- Review the materials regularly to reinforce your understanding
Join or create a study group for electrodynamics
Show steps
Provides a collaborative learning environment where you can discuss concepts, solve problems together, and enhance your understanding.
Browse courses on
Electrodynamics
Show steps
Show steps
Show steps
- Reach out to classmates or online forums to find interested individuals
- Establish regular meeting times and a study plan
- Take turns presenting concepts, leading discussions, and solving problems
Build a simple electrical circuit
Show steps
Applies your knowledge of electrodynamics to a practical project, enhancing your understanding of how electrical circuits work in the real world.
Browse courses on
Electrodynamics
Show steps
Show steps
Show steps
- Gather necessary materials such as wires, resistors, capacitors, and a power source
- Design a simple circuit diagram
- Assemble the circuit and test its functionality
- Analyze the circuit's behavior and make adjustments as needed
Career center
Learners who complete Electrodynamics: In-depth Solutions for Maxwell’s Equations will develop knowledge and skills
that may be useful to these careers:
Electromagnetic Compatibility (EMC) Engineer
Electromagnetic Compatibility (EMC) Engineer
An Electromagnetic Compatibility (EMC) Engineer designs and deploys equipment with a focus on minimizing interference caused by electromagnetic radiation. They are responsible for making sure electronic systems work together well without harmful interference. A strong understanding of electrodynamics, such as that gained in this course, is essential for EMC Engineers. This understanding helps them identify potential sources of interference and develop solutions to mitigate the issue.
Electrical Engineer
Electrical Engineer
An Electrical Engineer designs, develops, tests, and manages electrical systems and electronic components. They have a deep understanding of electrodynamics and are able to apply that knowledge to the design and development of various electrical systems. This course would provide a strong foundation for Electrical Engineers, as it would give them a strong understanding of Maxwell's Equations and the principles of electromagnetism.
High School Physics Teacher
High School Physics Teacher
A High School Physics Teacher educates high school students about the fundamentals of physics, including electrodynamics. They are responsible for making physics accessible and engaging for students, and for helping them to develop a strong understanding of the subject. This course can be very helpful for High School Physics Teachers, as it provides a deep dive into Maxwell's Equations and the principles of electromagnetism.
Physicist
Physicist
A Physicist conducts research and develops theories to explain the behavior of matter and energy. They use their knowledge of electrodynamics to study the interactions between charged particles and electromagnetic fields. This course may be helpful for Physicists, as it provides a deep dive into Maxwell's Equations and the principles of electromagnetism.
Technical Writer
Technical Writer
A Technical Writer creates technical documentation, such as user manuals, white papers, and training materials. They have a deep understanding of the subject matter they are writing about, and are able to translate complex technical information into clear and concise language. This course may be useful for Technical Writers who specialize in electromagnetism, as it provides a deep dive into Maxwell's Equations and the principles of electromagnetism.
Research Scientist
Research Scientist
A Research Scientist conducts research in a specific field of science, such as electromagnetism. They use their knowledge of electrodynamics to develop new technologies and products. This course may be useful for Research Scientists, as it provides a deep dive into Maxwell's Equations and the principles of electromagnetism.
Teacher
Teacher
A Teacher educates students at any level about a variety of subjects, including electrodynamics. They are responsible for making the subject matter accessible and engaging for students, and for helping them to develop a strong understanding of the subject. This course can be helpful for Teachers, as it provides a deep dive into Maxwell's Equations and the principles of electromagnetism, making it easier to teach the subject to students.
Antenna Designer
Antenna Designer
An Antenna Designer designs and develops antennas, which are used to transmit and receive electromagnetic waves. They have a deep understanding of electrodynamics and are able to apply that knowledge to the design and development of various types of antennas. This course would provide a strong foundation for Antenna Designers, as it would give them a strong understanding of Maxwell's Equations and the principles of electromagnetism.
Nuclear Engineer
Nuclear Engineer
A Nuclear Engineer designs, develops, and operates nuclear power plants and other nuclear facilities. They have a deep understanding of electrodynamics and are able to apply that knowledge to study the behavior of nuclear particles and the design of nuclear reactors. This course may be useful for Nuclear Engineers, as it provides a deep dive into Maxwell's Equations and the principles of electromagnetism.
Materials Scientist
Materials Scientist
A Materials Scientist researches and develops new materials with improved properties, such as strength, durability, and conductivity. They have a deep understanding of electrodynamics and are able to apply that knowledge to study the properties of materials and develop new materials. This course may be useful for Materials Scientists who specialize in the development of materials for electrical applications, as it provides a deep dive into Maxwell's Equations and the principles of electromagnetism.
Electronics Engineer
Electronics Engineer
An Electronics Engineer designs, develops, and tests electronic circuits and systems. They have a deep understanding of electrodynamics and are able to apply that knowledge to the design and development of various electronic devices. This course would provide a strong foundation for Electronics Engineers, as it would give them a strong understanding of Maxwell's Equations and the principles of electromagnetism.
Power Systems Engineer
Power Systems Engineer
A Power Systems Engineer designs, develops, and operates power systems, which are used to generate, transmit, and distribute electricity. They have a deep understanding of electrodynamics and are able to apply that knowledge to the design and development of various power systems. This course would provide a strong foundation for Power Systems Engineers, as it would give them a strong understanding of Maxwell's Equations and the principles of electromagnetism.
Instrumentation Engineer
Instrumentation Engineer
An Instrumentation Engineer designs, develops, and maintains instrumentation systems used to measure and control physical processes. They have a deep understanding of electrodynamics and are able to apply that knowledge to the design and development of various instrumentation systems. This course would provide a strong foundation for Instrumentation Engineers, as it would give them a strong understanding of Maxwell's Equations and the principles of electromagnetism.
Robotics Engineer
Robotics Engineer
A Robotics Engineer designs, develops, and maintains robots, which are used to perform a variety of tasks, such as manufacturing, assembly, and healthcare. They have a deep understanding of electrodynamics and are able to apply that knowledge to the design and development of various robotic systems. This course would provide a strong foundation for Robotics Engineers, as it would give them a strong understanding of Maxwell's Equations and the principles of electromagnetism.
Telecommunications Engineer
Telecommunications Engineer
A Telecommunications Engineer designs, develops, and maintains telecommunications systems, which are used to transmit voice, data, and video signals. They have a deep understanding of electrodynamics and are able to apply that knowledge to the design and development of various telecommunications systems. This course would provide a strong foundation for Telecommunications Engineers, as it would give them a strong understanding of Maxwell's Equations and the principles of electromagnetism.
For more career information including salaries, visit:
OpenCourser.com/course/p0s3rh/electrodynamics
Reading list
We've selected 14 books
that we think will supplement your
learning. Use these to
develop background knowledge, enrich your coursework, and gain a
deeper understanding of the topics covered in
Electrodynamics: In-depth Solutions for Maxwell’s Equations.
Classic textbook on classical electrodynamics. It comprehensive and well-written book that covers a wide range of topics, from basic concepts to advanced topics such as Maxwell's equations and special relativity. This book valuable resource for anyone who wants to learn more about classical electrodynamics.
Popular textbook on electrodynamics. It clear and concise book that covers the basics of electrodynamics in a way that is accessible to students. This book good choice for students who are new to electrodynamics or who want to review the basics.
Comprehensive textbook on electromagnetism. It covers a wide range of topics, from basic concepts to advanced topics such as Maxwell's equations and special relativity. This book valuable resource for anyone who wants to learn more about electromagnetism.
Classic textbook on electricity and magnetism. It clear and concise book that covers the basics of electricity and magnetism in a way that is accessible to students. This book good choice for students who are new to electricity and magnetism or who want to review the basics.
Comprehensive textbook on electrodynamics. It covers a wide range of topics, from basic concepts to advanced topics such as Maxwell's equations and special relativity. This book valuable resource for anyone who wants to learn more about electrodynamics.
Popular textbook on electromagnetism. It clear and concise book that covers the basics of electromagnetism in a way that is accessible to students. This book good choice for students who are new to electromagnetism or who want to review the basics.
Popular textbook on physics. It covers a wide range of topics, including electromagnetism. This book good choice for students who are new to physics or who want to review the basics.
Comprehensive textbook on electromagnetism. It covers a wide range of topics, from basic concepts to advanced topics such as Maxwell's equations and special relativity. This book valuable resource for anyone who wants to learn more about electromagnetism.
Popular textbook on electricity and magnetism. It clear and concise book that covers the basics of electricity and magnetism in a way that is accessible to students. This book good choice for students who are new to electricity and magnetism or who want to review the basics.
Historical perspective on electricity and magnetism. It well-written book that covers the history of electricity and magnetism in a way that is accessible to students. This book good choice for students who are interested in the history of science.
Classic textbook on electricity and magnetism. It clear and concise book that covers the basics of electricity and magnetism in a way that is accessible to students. This book good choice for students who are new to electricity and magnetism or who want to review the basics.
Save
Popular textbook on electromagnetism. It clear and concise book that covers the basics of electromagnetism in a way that is accessible to students. This book good choice for students who are new to electromagnetism or who want to review the basics.
Classic textbook on electricity and magnetism. It clear and concise book that covers the basics of electricity and magnetism in a way that is accessible to students. This book good choice for students who are new to electricity and magnetism or who want to review the basics.
Comprehensive textbook on electromagnetism. It covers a wide range of topics, from basic concepts to advanced topics such as Maxwell's equations and special relativity. This book valuable resource for anyone who wants to learn more about electromagnetism.
For more information about how these books relate to this course, visit:
OpenCourser.com/course/p0s3rh/electrodynamics
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Effort
5-6 hours/week
Level
Advanced
Via
Coursera
Institution
Korea Advanced Institute of Science and Technology(KAIST)
Instructor
Seungbum Hong
Language
English
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This course belongs to a
collection
called
Electrodynamics . It's comprised of four courses:
- Electrodynamics: An Introduction
- Electrodynamics: Electric and Magnetic Fields
- Electrodynamics: Analysis of Electric Fields
- Electrodynamics: In-depth Solutions for Maxwell’s Equations (viewing)
Good to know
Teaches the utilization of Maxwell's equations to analyze complex systems in electronics, chemistry, and materials science for students with a background in physics and engineering
Provides a comprehensive understanding of Maxwell's Equations and their applications in electrical engineering, energy storage, and materials science
Offers a unique approach to electromagnetism that combines traditional physics with Feynman's insights
Provides a strong foundation for students interested in pursuing research in materials science, information technology, electrical engineering, and related fields
Emphasizes practical applications of electrodynamics, making it relevant to students seeking to solve real-world problems in various fields
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