Goals of the Course(JPN)
Goals of the Course
|This course is a solid introduction to electrostatics and magnetostatics, as well as elementary electro- and magnetodynamics. It covers the first half of the textbook by Griffiths.
NOTE TO INTERNATIONAL EXCHANGE STUDENTS: this course assumes knowledge of vector calculus. We do not have time to reteach the basics that Nagoya University students have already learned. You must have a good grasp of vector calculus to take this course.
By the end of the course, students will have gained an intuitive as well as quantitative understanding of the basic physical principles of electromagnetism, as well as familiarity -- and hopefully mastery -- of some of the fundamental mathematical methods required to solve problems in physics, engineering, chemistry and applied mathematics.
This course has dual aims: 1) to convey physical and mathematical principles relevant to solving applied problems in physics, engineering and chemistry; 2) to improve students’ technical ability – i.e. ability to express intuition in mathematical terms and ability to solve problems.
Objectives of the Course(JPN)
Objectives of the Course
|The course objective is to enable students to master each point in the course plan, as outlined below, to the level of the first half of the textbook by Griffiths.|
Course Content / Plan
|Participants are expected to prepare solutions to problems relating to the lecture course content, which are handed out by the EM1 lecturer, and present their solutions on the whiteboard (or online using MS Teams) during the tutorial course (Physics Tutorial IIa).
1. Revision of vector calculus, curvilinear coordinates, Dirac Delta Function.
2. Electrostatics. Coulomb's Law. Continuous Charge Distributions. Divergence and Curl of Electrostatic Fields. Field Lines, Flux, and Gauss's Law. Electric Potential. Poisson's Equation and Laplace's Equation. The Potential of a Localized Charge Distribution. Physical meaning of the Dirac delta function in the context of Poisson's Equation.
3. Work and Energy in Electrostatics. Conductors. Induced Charges. Surface Charge and the Force on a Conductor. The Method of Images: point charge near a conducting plane or sphere, grounded or insulated. Separation of Variables.
4. Electric Fields in Matter. Polarization. Dielectrics. The Electric Displacement. Linear Dielectrics.
5. Magnetostatics. The Lorentz Force Law. The Biot-Savart Law. The Divergence and Curl of B. Applications of Ampere's Law. Magnetic Vector Potential A. Gauge transformations.
6. Magnetic Fields in Matter. Magnetization. Diamagnetism, Paramagnetism, Ferromagnetism. The Auxiliary Field H. Magnetic Susceptibility and Permeability.
7. Introduction to Electrodynamics. Electromotive Force. Electromagnetic Induction. Faraday's Law. Energy in Magnetic Fields. Maxwell's Equations. Magnetic levitation.
Course Prerequisites and Related Courses
|Calculus I&II; Mathematical Physics I&II or Consent of Lecturer.
Students MUST have previously performed strongly in a vector calculus course.
Course Evaluation Method and Criteria
|Attendance and class performance, attitude: 5%; Weekly quizzes or other written assessment: 30%; Midterm exam: 32.5%; Final Exam: 32.5%|
|1. Griffiths, D.L., 2012, Introduction to Electrodynamics, 4th ed., Prentice Hall.
Alternative textbook (HIGHLY RECOMMENDED):
2. Purcell, E.M. and Morin, D. J., Electricity and Magnetism, 3rd Ed., Cambridge University Press
(It is essential that students read at least one of these books.)
|1. Leighton, R.B. & Feynman, R.P., Feynman Lectures on Physics (Volume 2), Pearson.
2. Boas, Mary, Mathematical Methods in the Physical Sciences 3rd Ed., Wiley (2005). (Intuitive and well-explained introduction to much of the basic mathematics students need to master in undergraduate physics, including vector calculus.)
3. Jackson, J. D., Classical Electrodynamics, 3rd Edition, 1998. (Advanced reference.)
Even if at this stage you can’t understand much of the theory in the book by Jackson, you can occasionally “consult Professor Jackson” and understand a page or more, and also look at the fascinating graphs of solutions. You can learn a lot doing even this.
Study Load(Self-directed Learning Outside Course Hours)
|This course is part of your training to be a professional researcher. You are expected to revise the lecture notes, read and work through the textbook, and solve assignment problems outside lecture hours. You cannot learn physics by only attending lectures. The exams will consist of questions covering both lecture notes and assignments.
Students must be willing to work hard if they want to achieve a good, internationally competitive level.
Consultation with, or help from, the lecturer is available at anytime online using MS Teams.
Language Used in the Course
Lecture format, etc.
|Live lectures via MS Teams (Online only). Before the start of semester students should ensure that they have correctly installed MS Teams using their THERS (国立大学法人東海国立大学機構 ) email account.|
Additional measures for remote class (on-demand class)
|All lectures will be live via MS Teams (online only).
A lecture video will be available immediately after each lecture to help with student revision.
The lecturer will be available at most times during the day to answer questions via Teams chat.