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.
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
|✔ Specialist skills||Intercultural skills||Communication skills||Critical thinking skills||✔ Practical and/or problem-solving skills|
Students solve practical problems according to class sessions. Explanations on the exercises are provided.
|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.
Shigenobu Sunagawa, "Theory of Electromangetism" (3rd ed., Kinokuniya, 1999)
Shigenobu Sunagawa, "Electromangetism" (Iwanami Shoten, Publishers, 1987)
Evaluated based on presentation (~40%) and reports (~60%).