This course provides the fundamentals of electromagnetism in vacuum and in media, electromagnetic induction, and electromagnetic waves starting from Maxwell's equations.
The concepts of electromagnetism is essential to study earth and planetary sciences. The aim of this course is to understand various electromagnetic phenomena using Maxwell's Equations.
At the end of this course, students will be able to
1) explain the physical meaning of the equations for electromagnetic fields written in differential forms
2) derive the distribution of electric and magnetic fields under given boundary conditions
3) explain the concepts of macroscopic electromagnetics and apply them to specific problems
4) calculate propagation and radiation of electromagnetic waves using Maxwell's equations
electric field, electrostatic potential, Gauss's law, Ohm's law, magnetic field, vector potential, Ampere's law, Maxwell's equations, electromagnetic waves, dielectrics, magnetism
✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | ✔ Practical and/or problem-solving skills |
Each class will begin with a lecture, followed by exercises. A quiz will be given every week.
Course schedule | Required learning | |
---|---|---|
Class 1 | Mathematics for electromagnetism (vector calculus etc.) | Understand the divergence and rotation of a vector field, and conservation laws in differential forms |
Class 2 | Electrostatics (1): basic concepts | Understand the concepts of electric field and electrostatic potential, and Gauss's law |
Class 3 | Electrostatics (2): deriving electric field distribution | Understand how to calculate the electric field distribution under a given boundary condition |
Class 4 | Electrostatics (3): electrostatic energy | Understand the electrostatic energy of a collection of charged particles. |
Class 5 | Electrostatics (4): dielectrics | Understand the concepts of polarization and dielectricity |
Class 6 | Electrostatics (5): electric fields in dielectrics | Understand how to derive the electric field and polarization inside a dielectric |
Class 7 | Electric current | Understand the concept of current density and Ohm's law |
Class 8 | Magnetostatics (1): basic concepts | Understand the concepts of magnetic field and vector potential, and Ampere's law |
Class 9 | Magnetostatics (2): deriving magnetic field distribution | Understand how to calculate the magnetic field distribution under a given boundary condition |
Class 10 | Magnetostatics (3): magnetic dipole | Understand the correspondence between a magnetic dipole and a closed current |
Class 11 | Magnetostatics (4): magnetism | Understand the concepts of magnetization and permeability, and how to derive the magnetic field inside matter |
Class 12 | Electromagnetic induction | Understand Faraday's law and induction |
Class 13 | Electromagnetic waves (1): deriving from Maxwell's equations | Understand how electromagnetic waves are derived from Maxwell's equations in vacuum |
Class 14 | Electromagnetic waves (2): propagation | Understand propagation of (mainly plane) electromagnetic waves |
Class 15 | Electromagnetic waves (3): radiation | Understand how electromagnetic waves are radiated from time-dependent charges and currents |
Will be specified in the first class.
Richard Feynman, The Feynman Lectures on Physics, Vol. 2, ISBN 0-8053-9045-6
Students will be evaluated based on weekly quizzes (50%) and final exam (50%).
Students are assumed to have completed Physics B, Mathematics for Physics B (EPS course).