2016 Electromagnetism (EPS course)

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Academic unit or major
Undergraduate major in Earth and Planetary Sciences
Instructor(s)
Okuzumi Satoshi 
Class Format
Lecture / Exercise     
Media-enhanced courses
Day/Period(Room No.)
Mon5-8(I311)  Thr5-8(I311)  
Group
-
Course number
EPS.B212
Credits
4
Academic year
2016
Offered quarter
4Q
Syllabus updated
2017/1/11
Lecture notes updated
-
Language used
Japanese
Access Index

Course description and aims

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.

Student learning outcomes

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

Keywords

electric field, electrostatic potential, Gauss's law, Ohm's law, magnetic field, vector potential, Ampere's law, Maxwell's equations, electromagnetic waves, dielectrics, magnetism

Competencies that will be developed

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

Class flow

Each class will begin with a lecture, followed by exercises. A quiz will be given every week.

Course schedule/Required learning

  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

Textbook(s)

Will be specified in the first class.

Reference books, course materials, etc.

Richard Feynman, The Feynman Lectures on Physics, Vol. 2, ISBN 0-8053-9045-6

Assessment criteria and methods

Students will be evaluated based on weekly quizzes (50%) and final exam (50%).

Related courses

  • EPS.B210 : Mathematics for Physics B (EPS course)
  • EPS.B331 : Quantum Mechanics (EPS course)
  • EPS.A333 : Planetary Astronomy
  • EPS.A335 : Solar-Terrestrial Physics

Prerequisites (i.e., required knowledge, skills, courses, etc.)

Students are assumed to have completed Physics B, Mathematics for Physics B (EPS course).

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