This course will provides the fundamentals of electrostatics, magnetostatics, electromagnetic induction, and electromagnetic waves.
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.
Upon completion, 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 distributions of the charge and electric current
3) calculate the propagation and of electromagnetic waves using Maxwell's equations
4) explain the concepts of macroscopic electromagnetics and apply them to specific problems
electric field, electrostatic potential, Gauss's law, Poisson's equation, electric dipole, magnetic field, vector potential, Ampere's law, magnetic dipole, electromagnetic induction, displacement current, electromagnetic energy, Maxwell's equations, electromagnetic wave, dielectric and magnetic materials
|Intercultural skills||Communication skills||Specialist skills||Critical thinking skills||Practical and/or problem-solving skills|
Each class consists of a lecture and exercises.
|Course schedule||Required learning|
|Class 1||Mathematical methods 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 equations||Understand the concepts of electric field and electrostatic potential, and Gauss's law|
|Class 3||Electrostatics (2): electric dipole, electrostatic energy||Understand the electrostatic energy of a collection of charged particles.|
|Class 4||Magnetostatics (1): basic equations||Understand the concepts of magnetic field, Ampere's law, and vector potential|
|Class 5||Magnetostatics (2): magnetic dipole, Lorentz force||Understand the correspondence between a magnetic dipole and a closed current|
|Class 6||Time-varying electromagnetic fields (1): electromagnetic induction||Understand the concepts of electromagnetic induction and Faraday's law|
|Class 7||Time-varying electromagnetic fields (2): displacement current||Understand displacement current and Maxwell-Ampere's equation|
|Class 8||Time-varying electromagnetic fields (3): electromagnetic energy||Understand Poynting's vector and electromagnetic energy densities|
|Class 9||Electromagnetic waves (1): propagation in vacuum||Understand how electromagnetic waves are derived from Maxwell's equations|
|Class 10||Electromagnetic waves (2): propagation in conductors||Understand Ohm's law and the skin effect|
|Class 11||Electromagnetic waves (3): radiation||Understand electromagnetic potentials and retarded potentials|
|Class 12||Dielectrics||Understand the concepts of polarization and dielectric permittivity|
|Class 13||Magnetic matter||Understand the concepts of magnetization and magnetic permeability|
|Class 14||Electromagnetic waves in matter||Understand the propagation, reflection, and transmission of electromagnetic waves in matter|
|Class 15||Review||Review this course|
Lecture notes will be provided.
Richard Feynman, The Feynman Lectures on Physics, Vol. 2, ISBN 0-8053-9045-6
Based on weekly quizzes and the final exam.
Students are assumed to have completed Fundamentals of Electromagnetism 1 and 2, and Mathematics for Physics A (EPS course).