2019 Exercises in Electromagnetism

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Academic unit or major
Nishida Yusuke  Toyoda Masayuki 
Course component(s)
Mode of instruction
Day/Period(Room No.)
Tue7-8(H136,H137)  Fri7-8(H136,H137)  
Course number
Academic year
Offered quarter
Syllabus updated
Lecture notes updated
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Course description and aims

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.

Student learning outcomes

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


electric field, magnetic field, Maxwell's equations

Competencies that will be developed

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/Required learning

  Course schedule Required learning
Class 1 Vector analysis (basics of vector analysis and Direc delta) To understand basics of vector analysis.
Class 2 Vector analysis II (Nabla, gradient, divergence and rotation) To understand basics of vector analysis.
Class 3 Surface intergal and Gauss's theorem To understand Gauss's theorem and to solve practical problems with it.
Class 4 Line integral and Stokes' theorem To understand Stokes' theorem and to solve practical problems with it.
Class 5 Maxwell's equastion I To understand basic topics of Maxwell's equations.
Class 6 Static electric fields To understand Gauss's law for electric fields and to solve practical problems with it.
Class 7 Multipole expansion To understand multipole expansion of electrostatic potentials.
Class 8 Laplace's equation and separation of variables To understand how to use separation of variable for Laplace's equation.
Class 9 Boundary value problems and method of images To understand how to use method of images for Poisson equation with boundary conditions.
Class 10 Static magnetic fields To understand Biot-Savart law and vector potentials.
Class 11 Maxwell's equations II To understand advanced topics of Maxwell's equations.
Class 12 Semi-static current and electromagnetic induction To solve problems related to semi-static current.
Class 13 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 14 Conservation laws of energy and momentum To understand Poynting vectors and conservation laws of energy and momentum.
Class 15 Electromagnetic waves To solve problems involving electromagnetic waves.


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)

Assessment criteria and methods

Evaluated based on presentation (~40%) and reports (~60%).

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.)


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