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- 工学院，物質理工学院，環境・社会理工学院共通科目
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School of Environment and Society
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- Common courses
- Liberal arts and basic science courses
- Academic unit or major
- Undergraduate major in Physics
- Instructor(s)
- Yamaguchi Masahide Toyoda Masayuki
- Class Format
- Lecture / Exercise
- Media-enhanced courses
- Day/Period(Room No.)
- Tue3-4(H136) Tue7-8(H135) Fri3-4(H136) Fri7-8(H135)
- Group
- A
- Course number
- PHY.E205
- Credits
- 3
- Academic year
- 2017
- Offered quarter
- 1Q
- Syllabus updated
- 2017/3/17
- Lecture notes updated
- -
- Language used
- Japanese
- Access Index
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Course description and aims
This course presents mathematical method of vector analysis as well as Maxwell eqautions of electromagnetic fields.
According to lectures, this exercise course presents how to use vector analysis for solving electromagnetic problems based on the Maxwell equations.
The aim of this course is to understand the basics of electromagnetics through practical problems.
Student learning outcomes
This course aims to understand classical electromagnetics through vector analysis and the exercise course aims to solve practical problems by both theorems based on the Maxwell equation and vector analysis.
Keywords
electric field, magnetic field, Maxwell equations
Competencies that will be developed
| ✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | ✔ Practical and/or problem-solving skills |
Class flow
Lecture: Explain basic concepts by use of blackboard.
Exercise: Students solve practical problems according to class sessions. Explanations on the exercises are provided.
Course schedule/Required learning
| Course schedule | Required learning | |
|---|---|---|
| Class 1 | Basic concepts of electromagnetics(vector field, vector analysis, electromagentic fields) | vector analysis |
| Class 2 | Electrostatic field and scalar potential I (Coulomb law, superposition principle, Gauss's law, Gauss's divergence theorem) | Gauss's law |
| Class 3 | Electrostatic field and scalar potential II (scalar potential, Stokes's law, Poisson and Laplace equations) | Stokes's law |
| Class 4 | Electrostatics I (Green's theorem, boundary-value problem, method of images, energy of Electrostatic field) | green function |
| Class 5 | Electrostatics II (electtric dipole moment, electric polarization, multipole expansion) | Legendre polynomial |
| Class 6 | Steady-state current and magnetic field I (continuity equation, Ohm's law, Ampere force, Lorentz force, Hall effect) | continuity equation |
| Class 7 | Steady-state current and magnetic field II (magnetic dipole moment, Ampere's law, vector potential, Bio and Savart law, multipole expansion) | Bio and Savart law |
| Class 8 | Electromagnetic induction I (electromagnetic field, Faraday's law) | Faraday's law |
| Class 9 | Electromagnetic induction II (electromotive force, inductance, monopole induction) | inductance |
| Class 10 | Maxwell equation I (displacement current, Maxwell equation, electromagnetic four-potential, gauge transformation) | Maxwell equation |
| Class 11 | Maxwell equation II (polarization current, magentization, equation of macroscopic electromagnetism, energy of electromagentic field) | partial differential equation |
| Class 12 | Energy of magnetic field and circuit (energy of current, inductance, Kirchhoff's law) | Kirchhoff's law |
| Class 13 | Electromagnetic wave I (plane wave, polarization, energy and momentum of electromagentic wave) | Stokes parameters |
| Class 14 | Electromagnetic wave II (boundry condition of electromagnetic wave at an interface of two media, reflection and refravtion of electromagnetic wave) | reflection and refravtion of electromagnetic wave |
| Class 15 | Propagation of electromagnetic wave (Helmholtz equation, propagation of electromagnetic wave in waveguide) | Helmholtz equation |
Textbook(s)
none
Reference books, course materials, etc.
John David Jackson, Classical Electrodynamics
Assessment criteria and methods
final examination, attendance and answer in the class, and report
Related courses
- LAS.P103 ： Fundamentals of Electromagnetism 1
- LAS.P104 ： Fundamentals of Electromagnetism 2
- ZUB.E216 ： Electromagnetism II
Prerequisites (i.e., required knowledge, skills, courses, etc.)
none
