Electromagnetism has electric and magnetic fields as its basic fields and its study covers the generation of fields, the electric charges received from the field, electric currents and their movements. Field equations are differential equations of the field including differentials of time and space, and mathematical methods of vector calculus is heavily used to work with them mathematically. This course uses vector calculus and its logic carefully so that students will learn the comprehensive system of electromagnetism. In the exercises portion, students will solve problems related to units to cement their understanding.
The aim of this course is for students to understand the basics of electromagnetism.
Students will be able to calculate the electromagnetic phenomena learned in the Fundamentals of Electromagnetism using vector calculus of the electromagnetic field and to understand the system of Maxwell's study of electromagnetism and the essential structure of its theory.
electric field, magnetic field, Maxwell equations
Intercultural skills | Communication skills | Specialist skills | Critical thinking skills | Practical and/or problem-solving skills |
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This course explains concepts using blackboards.
Course schedule | Required learning | |
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Class 1 | Gauss's theorem, Stokes's theorem | Understand vector analysis |
Class 2 | Maxwell's equations | Understand basic topics of Maxwell's equations |
Class 3 | Electromagnetic potentials and gauge transformation | Understand basic topics of Maxwell's equations |
Class 4 | Coulomb's law | Understand phenomena related to static electric field |
Class 5 | Multipole expansion | Understand phenomena related to static electric field |
Class 6 | Energy of static electric field | Understand phenomena related to static electric field |
Class 7 | Boundary problems and method of images | Understand phenomena related to static electric field |
Class 8 | Biot-Savart law | Understand phenomena related to static magnetic field |
Class 9 | Multipole expansion | Understand phenomena related to static magnetic field |
Class 10 | Energy of static magnetic field | Understand phenomena related to static magnetic field |
Class 11 | Semi-static current and electromagnetic induction | Understand phenomena related to static magnetic field |
Class 12 | Interaction between point charges and electromagnetic fields | Understand advanced topics of Maxwell's equations |
Class 13 | Conservation law of energy | Understand advanced topics of Maxwell's equations |
Class 14 | Conservation law of momentum | Understand advanced topics of Maxwell's equations |
Class 15 | Electromagnetic wave | Understand advanced topics of Maxwell's equations |
Lecture notes will be distributed via OCW-i.
Shigenobu Sunagawa, "Theory of Electromangetism" (3rd ed., Kinokuniya, 1999)
Evaluated based on final examination.
None.