2017 Electromagnetism I

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Academic unit or major
Physics
Instructor(s)
Yamaguchi Masahide 
Class Format
Lecture     
Media-enhanced courses
Day/Period(Room No.)
Tue3-4(H136)  Fri3-4(H136)  
Group
-
Course number
ZUB.E202
Credits
2
Academic year
2017
Offered quarter
1Q
Syllabus updated
2017/3/17
Lecture notes updated
-
Language used
Japanese
Access Index

Course description and aims

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.

Student learning outcomes

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.

Keywords

electric field, magnetic field, Maxwell equations

Competencies that will be developed

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

Class flow

This course explains concepts using blackboards.

Course schedule/Required learning

  Course schedule Required learning
Class 1 Basic concepts of electromagnetics (vector field, vector analysis, electromagnetic fields) vector analysis
Class 2 Electrostatic field and scalar potential I (Coulomb law, superposition principle, Gauss's law, Gauss's divergence theorem) Gauss's law
Class 3 Electrostatic field and scalar potential II (scalar potential, Stokes's law, Poisson and Laplace equations) Stokes's law
Class 4 Electrostatics I (Green's theorem, boundary-value problem, method of images, energy of Electrostatic field) green function
Class 5 Electrostatics II (electric dipole moment, electric polarization, multipole expansion) Legendre polynomial
Class 6 Steady-state current and magnetic field I (continuity equation, Ohm's law, Ampere force, Lorentz force, Hall effect) continuity equation
Class 7 Steady-state current and magnetic field II (magnetic dipole moment, Ampere's law, vector potential, Bio and Savart law, multipole expansion) Bio and Savart law
Class 8 Electromagnetic induction I (electromagnetic field, Faraday's law) Faraday's law
Class 9 Electromagnetic induction II (electromotive force, inductance, monopole induction) inductance
Class 10 Maxwell equation I (displacement current, Maxwell equation, electromagnetic four-potential, gauge transformation) Maxwell equation
Class 11 Maxwell equation II (polarization current, magnetization, equation of macroscopic electromagnetism, energy of electromagnetic field) partial differential equation
Class 12 Energy of magnetic field and circuit (energy of current, inductance, Kirchhoff's law) Kirchhoff's law
Class 13 Electromagnetic wave I (plane wave, polarization, energy and momentum of electromagnetic wave) Stokes parameters
Class 14 Electromagnetic wave II (boundary condition of electromagnetic wave at an interface of two media, reflection and refraction of electromagnetic wave) reflection and refraction of electromagnetic wave
Class 15 Propagation of electromagnetic wave (Helmholtz equation, propagation of electromagnetic wave in waveguide) Helmholtz equation

Textbook(s)

none

Reference books, course materials, etc.

John David Jackson, Classical Electrodynamics

Assessment criteria and methods

final examination

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.)

none

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