### 2019　Electromagnetism (EPS course)

Font size  SML

Academic unit or major
Undergraduate major in Earth and Planetary Sciences
Instructor(s)
Okuzumi Satoshi  Sato Bunei
Course component(s)
Lecture / Exercise
Day/Period(Room No.)
Mon5-8(I2-318)  Thr5-8(I2-318)
Group
-
Course number
EPS.B212
Credits
4
Academic year
2019
Offered quarter
4Q
Syllabus updated
2019/3/18
Lecture notes updated
-
Language used
Japanese
Access Index

### Course description and aims

This course will provides the fundamentals of electrostatics, magnetostatics, electromagnetic induction, and electromagnetic waves.

The concepts of electromagnetism is essential to study earth and planetary sciences. The aim of this course is to understand various electromagnetic phenomena using Maxwell's Equations.

### Student learning outcomes

Upon completion, students will be able to
1) explain the physical meaning of the equations for electromagnetic fields written in differential forms
2) derive the distribution of electric and magnetic fields under given distributions of the charge and electric current
3) calculate the propagation and of electromagnetic waves using Maxwell's equations
4) explain the concepts of macroscopic electromagnetics and apply them to specific problems

### Keywords

electric field, electrostatic potential, Gauss's law, Poisson's equation, electric dipole, magnetic field, vector potential, Ampere's law, magnetic dipole, electromagnetic induction, displacement current, electromagnetic energy, Maxwell's equations, electromagnetic wave, dielectric and magnetic materials

### Competencies that will be developed

Intercultural skills Communication skills Specialist skills Critical thinking skills Practical and/or problem-solving skills
- - -

### Class flow

Each class consists of a lecture and exercises.

### Course schedule/Required learning

Course schedule Required learning
Class 1 Mathematical methods for electromagnetism (vector calculus etc.) Understand the divergence and rotation of a vector field, and conservation laws in differential forms
Class 2 Electrostatics (1): basic equations Understand the concepts of electric field and electrostatic potential, and Gauss's law
Class 3 Electrostatics (2): electric dipole, electrostatic energy Understand the electrostatic energy of a collection of charged particles.
Class 4 Magnetostatics (1): basic equations Understand the concepts of magnetic field, Ampere's law, and vector potential
Class 5 Magnetostatics (2): magnetic dipole, Lorentz force Understand the correspondence between a magnetic dipole and a closed current
Class 6 Time-varying electromagnetic fields (1): electromagnetic induction Understand the concepts of electromagnetic induction and Faraday's law
Class 7 Time-varying electromagnetic fields (2): displacement current Understand displacement current and Maxwell-Ampere's equation
Class 8 Time-varying electromagnetic fields (3): electromagnetic energy Understand Poynting's vector and electromagnetic energy densities
Class 9 Electromagnetic waves (1): propagation in vacuum Understand how electromagnetic waves are derived from Maxwell's equations
Class 10 Electromagnetic waves (2): propagation in conductors Understand Ohm's law and the skin effect
Class 11 Electromagnetic waves (3): radiation Understand electromagnetic potentials and retarded potentials
Class 12 Dielectrics Understand the concepts of polarization and dielectric permittivity
Class 13 Magnetic matter Understand the concepts of magnetization and magnetic permeability
Class 14 Electromagnetic waves in matter Understand the propagation, reflection, and transmission of electromagnetic waves in matter
Class 15 Review Review this course

### Textbook(s)

Lecture notes will be provided.

### Reference books, course materials, etc.

Richard Feynman, The Feynman Lectures on Physics, Vol. 2, ISBN 0-8053-9045-6

### Assessment criteria and methods

Based on weekly quizzes and the final exam.

### Related courses

• LAS.P103 ： Fundamentals of Electromagnetism 1
• LAS.P104 ： Fundamentals of Electromagnetism 2
• EPS.B201 ： Mathematics for Physics A (EPS course)
• EPS.B203 ： Mechanics (EPS course)
• EPS.B210 ： Mathematics for Physics B (EPS course)
• EPS.B331 ： Quantum Mechanics (EPS course)
• EPS.A333 ： Planetary Astronomy
• EPS.A335 ： Solar-Terrestrial Physics

### Prerequisites (i.e., required knowledge, skills, courses, etc.)

Students are assumed to have completed Fundamentals of Electromagnetism 1 and 2, and Mathematics for Physics A (EPS course).