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2021 Faculty Courses School of Science Undergraduate major in Physics

Electromagnetism (Exercise) A

Academic unit or major
Undergraduate major in Physics
Instructor(s)
Takato Yoshimura / Hiroaki Ishizuka
Class Format
Exercise
Media-enhanced courses
-
Day of week/Period
(Classrooms)
7-8 Tue (H111,H113) / 7-8 Fri (H111,H113)
Class
A
Course Code
PHY.E215
Number of credits
010
Course offered
2021
Offered quarter
1Q
Syllabus updated
Jul 10, 2025
Language
Japanese

Syllabus

Course overview and goals

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 meaning of the Maxwell equations through practical problems.

Course description and aims

This exercise course aims to solve practical problems by both theorems based on the Maxwell equation and vector analysis.

Keywords

electric field, magnetic field, Maxwell's equations

Competencies

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

Class flow

Students solve practical problems according to class sessions. Explanations on the exercises are provided.

Course schedule/Objectives

Course schedule Objectives
Class 1

Vector analysis (Nabla, Direc delta)

To understand basics of vector analysis.

Class 2

Surface intergal and Gauss's theorem

To understand Gauss's theorem and to solve practical problems with it.

Class 3

Line integral and Stokes' theorem

To understand Stokes' theorem and to solve practical problems with it.

Class 4

Maxwell's equastion I

To understand basic topics of Maxwell's equations.

Class 5

Static electric fields

To understand Gauss's law for electric fields and to solve practical problems with it.

Class 6

Multipole expansion

To understand multipole expansion of electrostatic potentials.

Class 7

Laplace's equation and separation of variables

To understand how to use separation of variable for Laplace's equation.

Class 8

Boundary value problems and method of images

To understand how to use method of images for Poisson equation with boundary conditions.

Class 9

Static magnetic fields

To understand Biot-Savart law and vector potentials.

Class 10

Maxwell's equations II

To understand advanced topics of Maxwell's equations.

Class 11

Semi-static current and electromagnetic induction

To solve problems related to semi-static current.

Class 12

Interaction between point charges and electromagnetic fields

To understand Lorentz force and to solve problems involving the motion of charged particles in electromagnetic fields.

Class 13

Conservation laws of energy and momentum

To understand Poynting vectors and conservation laws of energy and momentum.

Class 14

Electromagnetic waves

To solve problems involving electromagnetic waves.

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)

Problem sets will be distributed.

Reference books, course materials, etc.

Shigenobu Sunagawa, "Theory of Electromangetism" (3rd ed., Kinokuniya, 1999)
Shigenobu Sunagawa, "Electromangetism" (Iwanami Shoten, Publishers, 1987)

Evaluation methods and criteria

Evaluated based on presentation, reports, and final examination.

Related courses

  • LAS.P103 : Fundamentals of Electromagnetism 1
  • LAS.P104 : Fundamentals of Electromagnetism 2
  • ZUB.E216 : Electromagnetism II

Prerequisites

none