### 2019　Electricity and Magnetism I

Font size  SML

Undergraduate major in Electrical and Electronic Engineering
Instructor(s)
Course component(s)
Lecture
Day/Period(Room No.)
Mon5-6(S221)  Thr5-6(S221)
Group
-
Course number
EEE.E201
Credits
2
2019
Offered quarter
1Q
Syllabus updated
2019/3/18
Lecture notes updated
2019/5/24
Language used
Japanese
Access Index ### Course description and aims

Starting with vector calculus, this Electricity and Magnetism I course focuses on equations related to electrostatic fields and their solutions. Electromagnetism is the basis for all fields related to electricity, such as circuits, devices, communications, and electrical power. This means electromagnetism is the basis for applications over a wide range in today's industries and daily life. This course facilitates students' understanding of formulas using vector calculus and the equations of electrostatic fields based on them, along with electric field distribution and electric field energy of systems including conductors and dielectric materials. Students will gain the ability to solve unfamiliar cases related to electromagnetism by applying techniques acquired through this course.

### Student learning outcomes

By the end of this course, students will be able to:
1) Express the formulas using vector calculus, including the Gauss's theorem.
2) Solve the equation of electrostatic field using the formulas
3) Express the electric field distribution and electric field energy of the system including conductor and dielectric materials.
4) Apply knowledge acquired through this course to solve problems.

Corresponding educational goals are:
(1) Specialist skills Fundamental specialist skills
(6) Firm fundamental specialist skills on electrical and electronic engineering, including areas such as electromagnetism, circuits, linear systems, and applied mathematics

### Keywords

vector calculus, ，Gauss's theorem, Strokes' theorem, electrostatic field, Laplace's equation, Poisson's equation, conductor, dielectric material, electric field energy, current

### Competencies that will be developed

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

### Class flow

At the beginning of each class, solutions to exercise problems assigned during the previous class are reviewed. Towards the end of class, students are given exercise problems related to what is taught on that day to solve. Before coming to class, students should read the course schedule and check what topics will be covered. Required learning should be completed outside of the classroom for preparation and review purposes.

### Course schedule/Required learning

Course schedule Required learning
Class 1 Scalar product and vector product, line integral Understand and solve the exercises of scalar product, vector product and line integral.
Class 2 Surface integral, solid angle Understand and solve the exercises of surface integral and solid angle.
Class 3 Gradient, divergence, Gauss's theorem Understand and solve the exercises of gradient, divergence and Gauss's theorem.
Class 4 Rotation (Curl), Strokes' theorem Understand and solve the exercises of rotation (curl) and Strokes' theorem.
Class 5 Coulomb's law, electric field distribution, Gauss's law Understand and solve the exercises of Coulomb's law, electric field distribution and Gauss's law.
Class 6 Electric potential distribution Understand and solve the exercises of electric potential distribution.
Class 7 Conductor and electric field, Laplace's equation, Poisson's equation Understand and solve the exercises of conductor and electric field, Laplace's equation and Poisson's equation.
Class 8 Exercise problems to assess the students' level of understanding on what has been taught so far, and explain how to solve the problem. Review the course contents. Use the exercise problems to better understand the topics covered, and evaluate one’s own progress.
Class 9 Solution of electrostatic field (Laplace's equation, Poisson's equation, boundary condition, uniqueness of solutions) Understand and solve the exercises of electrostatic field (Laplace's and Poisson's equations).
Class 10 Solution of electrostatic field (method of images, numerical analysis) Understand and solve the exercises of method of images, numerical analysis.
Class 11 Conductors, potential coefficient, capacity coefficient Understand and solve the exercises of conductors, potential coefficient and capacity coefficient.
Class 12 Capacitance Understand and solve the exercises of capacitance.
Class 13 Dielectric and polarization, electric flux density, basic equations Understand and solve the exercises of dielectric and polarization, electric flux density and basic equations.
Class 14 Electric field energy and forces, principle of virtual work Understand and solve the exercises of electric field energy and forces and principle of virtual work.
Class 15 Conductor and current Understand and solve the exercises of conductor and current.

### Textbook(s)

Content of lecture to prepare for the class will be uploaded to OCW.

### Reference books, course materials, etc.

Masahiro Asada and Takuichi Hirano, "Electromagnetism", Tokyo: Baifukan; ISBN-13: 978-4563069810. (Japanese), Yasuharu Suematsu, "Electromagnetism", Tokyo: Kyoritsu-shuppan; ISBN-13: 978-4320084179. (Japanese)
Makoto Katsurai, "Fundamental electromagnetism for science and engineering" Tokyo: Ohmsha; ISBN-13: 978-4274132186. (Japanese)

### Assessment criteria and methods

Students will be assessed on their understanding of the vector calculus, the equations of electrostatic field, the electric field distribution and electric field energy of the system including conductor and dielectric materials, and their ability to apply them to solve problems. Students' course scores are based on midterm and final exams (~80%, Midterm: Final ~ 4:6) and exercise problems during each class (~20%).

### Related courses

• EEE.E202 ： Electricity and Magnetism II

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

No prerequisites are necessary, but enrollment in the related courses is desirable. 