2025 (Current Year) Faculty Courses Liberal arts and basic science courses Basic science and technology courses
Fundamentals of Electromagnetism 2 D
- Academic unit or major
- Basic science and technology courses
- Instructor(s)
- Hiroyuki Hirayama
- Class Format
- Lecture
- Media-enhanced courses
- -
- Day of week/Period
(Classrooms) - Class
- D
- Course Code
- LAS.P104
- Number of credits
- 100
- Course offered
- 2025
- Offered quarter
- 4Q
- Syllabus updated
- Mar 19, 2025
- Language
- Japanese
Syllabus
Course overview and goals
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.
Fundamentals of optics and elementary particles are also key topics that will be covered in this course.
Course description and aims
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.
5) Understand basic optics and elementary particle interactions.
Keywords
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, optics, elementary particles
Competencies
- Specialist skills
- Intercultural skills
- Communication skills
- Critical thinking skills
- Practical and/or problem-solving skills
Class flow
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/Objectives
| Course schedule | Objectives | |
|---|---|---|
| Class 1 | Electric current and magnetic field I: Ampere's law | Explain Ampere's law |
| Class 2 | Electric current and magnetic field II: Gauss's law on magnetic flux density | Explain Gauss's law on magnetic flux densities. |
| Class 3 | Electric current and magnetic field III: Force executed on electric currents and magnetic moment | Derive the force between the two conduction lines with electric currents in parallel |
| Class 4 | Electric current and magnetic field IV: Biot-Savart's law | Extract the magnetic flux density on the axis through the center of the circle with an electric current. |
| Class 5 | Electromagnetic induction (Faraday's law, induced electromotive force, induced electric field) | Explain electromagnetic induction. |
| Class 6 | Self-induction and mutual induction (self-inductance, mutual inductance, magnetic energy) | Explain self-induction and mutual induction. |
| Class 7 | Electromagnetic waves (derivation of electromagnetic plane waves, speed of electromagnetic waves, energy in electromagnetic waves, properties of electromagnetic waves) | Derive electromagnetic plane waves from Maxwell’s equations. |
Study advice (preparation and review)
To enhance effective learning, students are encouraged to spend approximately 100 minutes preparing for class and another 100 minutes reviewing class content afterwards (including assignments) for each class.
They should do so by referring to textbooks and other course material.
Textbook(s)
Denjikigaku (Electromagnetism) by Hidekazu Tanaka, Baifukann publishing
Reference books, course materials, etc.
none
Evaluation methods and criteria
Learning achievement is evaluated by quizzes, reports and a final exam.
Related courses
- LAS.P106 ： Exercises in Physics II
Prerequisites
No prerequisites.
Contact information (e-mail and phone) Notice : Please replace from ”[at]” to ”@”(half-width character).
hirayama.h.aa[at]m.titech.ac.jp
Office hours
Contact by e-mail in advance to schedule an appointment.