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
✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | Practical and/or problem-solving skills |
This course explains concepts using blackboards.
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 |
none
John David Jackson, Classical Electrodynamics
final examination
none