Electrodynamics: Analysis of Electric Fields from Coursera

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.

What's inside

Syllabus

The Electric Field in Various Circumstances

The primary focus of the first portion of this module is the concept of dipole moments, both for a single molecule and an arbitrary distribution. The equations for both the potential and the electric field of a dipole are derived within the first part of the lecture. This lecture also describes the method of images and how it can be applied to solving the electric field from different geometries.

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Develops a detailed understanding of the application of electrodynamics to energy storage and harvesting

Suitable for students and researchers in materials science, electrical engineering, energy harvesting, and related fields

Provides a solid foundation for those interested in exploring the physics of electricity and magnetism

Taught by Seungbum Hong, an expert in electrodynamics

Provides learners with a comprehensive understanding of electrodynamics, including the calculation of electric fields and the behavior of dielectrics

May require prerequisite knowledge in electromagnetism

Reviews summary

Deep dive into electric fields and dielectrics

According to learners, this course offers a clear and comprehensive exploration of electric fields and dielectrics, building effectively on introductory electrodynamics. Students appreciate the detailed explanations of complex concepts and the inclusion of topics like polarization and the method of images. While the course provides a strong theoretical foundation, some note that a solid background, preferably from the prerequisite course, is essential for success. The mathematical rigor is often mentioned as a challenging but rewarding aspect, helping to solidify understanding. The inclusion of practical applications is valued, although a few learners felt they could be expanded upon. Overall, the feedback indicates a highly valuable course for those with the necessary prerequisites seeking a deeper understanding of electrodynamics.

Strong background knowledge is needed.

"You absolutely need to have taken the first course or have a very strong E&M background."

"Without the prerequisite knowledge, this course would be incredibly difficult to follow."

"Make sure you are comfortable with vector calculus and introductory electrodynamics before starting."

"I struggled initially because my prerequisites weren't as strong as they should have been."

Discusses relevance to applications.

"Liked how they tied the theory back to potential applications in materials and engineering."

"Mentioning connections to fields like energy storage was very helpful."

"While the focus is theoretical, the examples of real-world relevance were a great addition."

"I could see how this theory applies to designing devices after taking the course."

Focuses on core theoretical concepts.

"Provides a really solid theoretical base for understanding electric fields in different media."

"I appreciated the rigorous derivation of key equations, like those for dipoles."

"Covers the fundamental physics exceptionally well."

"The theoretical treatment of dielectrics was thorough and insightful."

The course is difficult but deepens understanding.

"This course was challenging, no doubt, but the effort paid off in understanding the material deeply."

"The problem sets pushed me, but they really helped solidify my grasp of the physics."

"It's mathematically intense, but if you put in the work, you gain a strong intuition for E&M."

"One of the most rewarding courses I've taken, precisely because of the challenge."

Lectures clearly explain complex topics.

"The instructor does a great job of explaining these really complex ideas in a way that makes sense."

"I found the lectures to be incredibly clear, even when tackling difficult mathematical concepts."

"The explanations of dipoles and dielectrics were particularly easy to follow."

"My understanding of electric fields significantly improved thanks to the clear teaching style."

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: Analysis of Electric Fields with these activities:

Review Electrodynamics: An Introduction

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Review the fundamental concepts and equations of electrodynamics to strengthen your understanding before starting this course.

Browse courses on Electrodynamics

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Read through your notes and textbooks from the previous course.
Attempt to solve practice problems related to electrodynamics.
Review online resources and video lectures on basic electrodynamics.

Seek Support from Experienced Professionals

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Identify and connect with experts in the field of electrodynamics to gain valuable insights and guidance throughout your learning journey.

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Attend industry events or conferences to meet professionals.
Reach out to professors, researchers, or engineers in the field.
Request informational interviews to learn from their experiences and perspectives.

Provide Guidance to Fellow Students

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Engage with other students by answering questions, sharing resources, and collaborating on assignments to enhance your own understanding and strengthen the learning community.

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Join online forums or discussion groups related to the course.
Actively participate by responding to questions and providing assistance to other students.
Organize study groups or virtual meetings to collaborate on assignments and review materials.

Three other activities

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Practice Applying Symmetry and Other Tools to Calculate Electric Fields

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Engage in practice drills to enhance your ability to apply symmetry and other tools to calculate electric fields.

Browse courses on Electric Fields

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Find practice problems or exercises that focus on calculating electric fields using symmetry and other tools.
Attempt to solve these problems independently.
Check your solutions and identify areas where you need improvement.

Explore Electrostatic Energy and Virtual Work

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Practice applying the concepts of electrostatic energy and virtual work to gain a stronger grasp of their significance.

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Solve practice problems involving the calculation of electrostatic energy.
Explore the concept of virtual work and its applications in electrostatics.
Analyze different scenarios where electrostatic energy and virtual work play a role.

Develop Visualizations for Maxwell Equations

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Create visual representations of Maxwell equations to deepen your understanding of their relationships and applications.

Browse courses on Maxwell Equations

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Identify different methods for visualizing Maxwell equations, such as diagrams, graphs, or animations.
Choose a specific method and create a visual representation of one or more Maxwell equations.
Explain the concepts and relationships represented in your visualization.

Career center

Learners who complete Electrodynamics: Analysis of Electric Fields will develop knowledge and skills that may be useful to these careers:

Electromagnetics Engineer

Electromagnetics Engineers design and develop electronic devices and systems. This course may be useful in providing a foundation in electrodynamics, which is essential for understanding the behavior of electromagnetic fields and waves. The concepts covered in this course, such as electric fields, polarization, and dielectrics, are directly applicable to the work of Electromagnetics Engineers.

See salaries and explore the career path for Electromagnetics Engineer

Electrical Engineer

Electrical Engineers design, develop, test, and supervise the installation of electrical systems and equipment. This course may be useful in providing a foundation in electrodynamics, which is essential for understanding the behavior of electrical systems. The concepts covered in this course, such as electric fields, polarization, and dielectrics, are directly applicable to the work of Electrical Engineers.

See salaries and explore the career path for Electrical Engineer

Electronics Engineer

Electronics Engineers design, develop, test, and supervise the installation of electronic devices and systems. This course may be useful in providing a foundation in electrodynamics, which is essential for understanding the behavior of electronic devices and systems. The concepts covered in this course, such as electric fields, polarization, and dielectrics, are directly applicable to the work of Electronics Engineers.

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Computer Hardware Engineer

Computer Hardware Engineers design, develop, test, and supervise the installation of computer hardware. This course may be useful in providing a foundation in electrodynamics, which is essential for understanding the behavior of electrical signals in computer hardware. The concepts covered in this course, such as electric fields, polarization, and dielectrics, are directly applicable to the work of Computer Hardware Engineers.

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Materials Scientist

Materials Scientists research and develop new materials and improve existing ones. This course may be useful in providing a foundation in electrodynamics, which is essential for understanding the electrical properties of materials. The concepts covered in this course, such as electric fields, polarization, and dielectrics, are directly applicable to the work of Materials Scientists.

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Chemical Engineer

Chemical Engineers design, develop, and operate chemical plants and processes. This course may be useful in providing a foundation in electrodynamics, which is essential for understanding the electrical properties of chemicals and chemical processes. The concepts covered in this course, such as electric fields, polarization, and dielectrics, are directly applicable to the work of Chemical Engineers.

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Mechanical Engineer

Mechanical Engineers design, develop, and operate mechanical systems and machines. This course may be useful in providing a foundation in electrodynamics, which is essential for understanding the electrical properties of mechanical systems and machines. The concepts covered in this course, such as electric fields, polarization, and dielectrics, are directly applicable to the work of Mechanical Engineers.

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Aerospace Engineer

Aerospace Engineers design, develop, and operate aircraft, spacecraft, and other aerospace vehicles. This course may be useful in providing a foundation in electrodynamics, which is essential for understanding the electrical properties of aerospace vehicles. The concepts covered in this course, such as electric fields, polarization, and dielectrics, are directly applicable to the work of Aerospace Engineers.

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Nuclear Engineer

Nuclear Engineers design, develop, and operate nuclear power plants and other nuclear facilities. This course may be useful in providing a foundation in electrodynamics, which is essential for understanding the electrical properties of nuclear materials and processes. The concepts covered in this course, such as electric fields, polarization, and dielectrics, are directly applicable to the work of Nuclear Engineers.

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Petroleum Engineer

Petroleum Engineers design, develop, and operate oil and gas wells and other petroleum facilities. This course may be useful in providing a foundation in electrodynamics, which is essential for understanding the electrical properties of petroleum and petroleum processes. The concepts covered in this course, such as electric fields, polarization, and dielectrics, are directly applicable to the work of Petroleum Engineers.

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Mining Engineer

Mining Engineers design, develop, and operate mines and other mining facilities. This course may be useful in providing a foundation in electrodynamics, which is essential for understanding the electrical properties of minerals and mining processes. The concepts covered in this course, such as electric fields, polarization, and dielectrics, are directly applicable to the work of Mining Engineers.

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Environmental Engineer

Environmental Engineers design, develop, and operate systems and processes to protect the environment. This course may be useful in providing a foundation in electrodynamics, which is essential for understanding the electrical properties of environmental systems and processes. The concepts covered in this course, such as electric fields, polarization, and dielectrics, are directly applicable to the work of Environmental Engineers.

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Biomedical Engineer

Biomedical Engineers design, develop, and operate medical devices and systems. This course may be useful in providing a foundation in electrodynamics, which is essential for understanding the electrical properties of biological systems. The concepts covered in this course, such as electric fields, polarization, and dielectrics, are directly applicable to the work of Biomedical Engineers.

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Civil Engineer

Civil Engineers design, develop, and operate infrastructure systems and structures. This course may be useful in providing a foundation in electrodynamics, which is essential for understanding the electrical properties of infrastructure systems and structures. The concepts covered in this course, such as electric fields, polarization, and dielectrics, are directly applicable to the work of Civil Engineers.

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Industrial Engineer

Industrial Engineers design, develop, and operate industrial systems and processes. This course may be useful in providing a foundation in electrodynamics, which is essential for understanding the electrical properties of industrial systems and processes. The concepts covered in this course, such as electric fields, polarization, and dielectrics, are directly applicable to the work of Industrial Engineers.

See salaries and explore the career path for Industrial Engineer