Electrodynamics 1100-1ENELDYN3

http://www.fuw.edu.pl/~witek/elektroIN

Elements of vector analysis : gradient, curl, divergence, theorems of Stokes
and Gauss.

Maxwell's equations, potentials and gauge - microscopic formulation.

Covariant form of Maxwell's equations in material media.

Stationary electric and magnetic fields in macroscopic media.

Electrostatics : Coulomb's law, boundary problem, Poisson and Laplace equations, multipoles, electric field in the presence of conductors and dielectrics, polarization vector, capacitors, electrostatic energy and forces.

Steady currents: electromotive force, continuity equation, Ohm's law, Kirchoff's laws. Joule's heat.

Magnetostatics : Ampere's law, Biot-Savart law, magnetic force, magnetic field in material media, magnetization vector.

Energy of the electromagnetic field.

Time dependent fields, law of electromagnetic induction,

Electromagnetic waves in macroscopic media: polarization, laws of reflection and refraction, diffraction, transmission lines, cavities and waveguides.

Constitutive relations and their microscopic origin - elements of the microscopic theory of the matter: conductivity, magnetism.

Electromagnetic radiation. Liénard-Wiechert potentials, electric dipole radiation, magnetic dipole radiation.

A knowledge of Classical Mechanics, Calculus, Linear Algebra and Mathematical Analysis including complex functions, distribution theory and Fourier transform
is required.

Type of course

obligatory courses

Mode

Self-reading
Classroom

Prerequisites (description)

The aim of the course: - Introducing elementary vector analysis applied to the problems in field theory - Formulating Maxwell's equations and explaining how they can by used to describe electric and magnetic fields in the vacuum and in the material media. - Explaining the relationship between microscopic fields and their macroscopic counterparts - Introducing methods of description of time dependent electromagnetic fields in vacuum and in macroscopic media based on Maxwell's equations.

Learning outcomes

The student will be able to:
apply the elementary vector analysis to solve typical problems in field theory
state Maxwell's equations and apply them to various problems related to the electromagnetic phenomena in vacuum and matter,
explain the relationship between the macroscopic and microscopic fields,
solve standard problems in electrodynamics.

Assessment criteria

There will be two written midterm tests, final written examination and homework problems. The final mark will depend on the total score and the result of the oral examination.

Practical placement

None

Bibliography

D.J. Griffiths, Introduction to Electrodynamics.
J.D. Jackson, Classical Electrodynamics.
L.D. Landau and E.M. Lifshitz, Electrodynamics of Continuous Media.

Additional information

Information on level of this course, year of study and semester when the course unit is delivered, types and amount of class hours - can be found in course structure diagrams of apropriate study programmes. This course is related to the following study programmes:

Nuclear Power Engineering and Nuclear Chemistry, full time 3 year programme leading to B. Sc. Degree

Additional information (registration calendar, class conductors, localization and schedules of classes), might be available in the USOSweb system:

Description of 1100-1ENELDYN3 in USOSweb