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Electromagnetism I

Code
Φ-301
Level
Undergraduate
Category
A
Teacher
V. Pavlidou
ECTS
7
Hours
6
Semester
Spring
Display
Yes
Offered
Yes
Goal of the course
This is a compulsory course for Physics majors, offering a systematic review of the basic principles of electricity and magnetism, leading to the rigorous formulation of the laws of electromagnetism and Maxwell’s equations. During the course the students familiarize themselves with the fundamental concepts and mathematical tools necessary to solve Maxwell’s equations and describe electromagnetic phenomena. Interested students can supplement their knowledge by taking additional elective courses such as Electromagnetism II and the graduate course Classical Electrodynamics.
Program
Wednesday 9:00-11:00, Amphitheater X/P
Thursday 9:00-11:00, Amphitheater X/P
Friday 9:00-11:00, Amphitheater X/P
Syllabus
I. Electrostatic Fields:
Gauss’s law; scalar potential; Poisson and Laplace differential equations, boundary conditions, and uniqueness of their solutions; method of separation of variables; method of images; multipole expansion, dipole moment, polarization, electric displacement, and macroscopic Maxwell equations; electrostatic Maxwell equations.

II. Magnetostatic Fields:
Electric Currents; Ampere’s law; vector potential, Biot-Savart law; magnetic dipole moment, magnetization, paramagnetic, diamagnetic, and ferromagnetic materials, and macroscopic Maxwell equations; magnetostatic Maxwell equations.

III. Electromagnetic Fields:
Faraday’s law; Lorentz force; electromagnetic energy and Poynting vector; Gauge transformations and Lorentz and Coulomb gauge; wave equation; full Maxwell equations.
Bibliography
“Introduction to Electrodynamics”, D. J. Griffiths, Volumes I and II (Crete University Press, 2005).