Following Fundamentals of Electromagnetism 1, this course covers static magnetic fields, changing electromagnetic fields, Maxwell’s equations, and electromagnetic waves.
Electromagnetism is important for understanding nature, and is essential for the study of science, engineering, life sciences, and other specialized courses. Students will learn the basic laws of electromagnetism in vacuum, and their mathematical descriptions. This will allow them to understand general electromagnetic phenomena as well as allow them to solve general problems in electromagnetism.
By completing this course, students will be able to:
1) Understand the concepts of induced electromotive force, induced electric field, self-induction, mutual induction, magnetic energy, displacement current, etc., correctly, and describe them mathematically.
2) Understand Gauss's law for magnetic flux density, Ampére’s law, Faraday's law and Maxwell-Ampére’s law correctly, and apply them to solve problems in electromagnetism.
3) Understand electromagnetic waves on the basis of Maxwell’s equations.
4) Find mathematical solutions to problems in electromagnetism expressed by the appropriate equations, and explain the physical meaning of said solutions.
Gauss's law, Ampére’s law, electromagnetic induction, Faraday's law, induced electromotive force, induced electric field, self-inductance, mutual inductance, magnetic energy, displacement current, Maxwell-Ampére’s law, Maxwell’s equations, electromagnetic waves
✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | ✔ Practical and/or problem-solving skills |
Two-thirds of each class is devoted to fundamentals and the rest to advanced content or application. To allow students to get a good understanding of the course contents and practice application, problems related to the contents of this course are provided in Exercises in Physics II.
Course schedule | Required learning | |
---|---|---|
Class 1 | Gauss's law for magnetic flux density (lines of magnetic flux, magnetic flux, derivation of Gauss's law and its application) | Explain Gauss's law for magnetism. |
Class 2 | Ampére’s law (derivation of Ampére’s law and its application) | Explain Ampére’s law and its applications. |
Class 3 | Electromagnetic induction (Faraday's law, induced electromotive force, induced electric field) | Explain electromagnetic induction. |
Class 4 | Self-induction and mutual induction (self-inductance, mutual inductance, magnetic energy) | Explain self-induction and mutual induction. |
Class 5 | Displacement current (Maxwell-Ampére’s law) | Explain displacement current and Maxwell-Ampére’s law. |
Class 6 | Summary of basic laws of electromagnetism (divergence and rotation of vector functions, Maxwell’s equations) | Show differential forms of four basic laws of electromagnetism expressed in integral forms. |
Class 7 | Electromagnetic waves (electromagnetic plane waves, speed of electromagnetic waves, energy in electromagnetic waves, properties of electromagnetic waves) | Derive electromagnetic plane waves from Maxwell’s equations. |
"Denjikigaku (Electromagnetism)" by Hidekazu Tanaka, Baifukan (in Japanese).
Handouts will be distributed.
Learning achievement is evaluated by homework and a final exam.
No prerequisites.