Course: Electromagnetic field theory

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Course title Electromagnetic field theory
Course code MTI/TLT
Organizational form of instruction Lecture + Lesson
Level of course Bachelor
Year of study not specified
Semester Winter
Number of ECTS credits 4
Language of instruction Czech
Status of course Compulsory
Form of instruction Face-to-face
Work placements Course does not contain work placement
Recommended optional programme components None
Lecturer(s)
  • Richter Aleš, prof. Ing. CSc.
  • Eichler Jakub, Ing. Ph.D.
Course content
Lecture topics: 1. Static electric field in vacuum, scalar field, vector field, lines of force, Coulomb's law, permittivity of vacuum, linear, surface and volumetric density, integral and differential relation. Intensity of the electric field. 2. Gaussian's law of electrostatics, potential of electric field, relation of potential with intensity, 2. Maxwell's equation for static field and its differential form, Poisson's and Laplace's equation. 3. Conductivity field in vacuum, electrostatic induction, capacitance, capacitor, electrostatic energy. 4. Static field in dielectrics, dipole and dipole moment, polar and nonpolar dielectrics, vector of electrical induction, Gauss' law of electrostatic for dielectric, relation between polarization vector and field intensity, susceptibility, permittivity, dielectric hysteresis, remanent polarization, ferroelectric substances, piezoelectric phenomenon. 5. The stationary electric field, electric current, current density, equation of continuity in integral and differential form, free - bounded - displacement currents, Ohm's law in integral and differential form, conductivity, resistivity, power and energy, Joule-Lenz's law, Joule's heat energy. 6. Electricity conduction in materials, in the conductor - division of matter according to conductivity, electron and ionic conductivity, speed of chaotic and drift movement, mean free path, properties of metals. Semiconductor conductivity, intrinsic conductivity, electron and hole-type conductivity, impurity conductivity. 7. Electric current in liquids, electrolyte and electrolysis, dissociation, Faraday's laws of electrolysis, current flow in gases, conditions of discharge, ionization, emission, glow and arc discharge. Superconductivity of type 1 and type 2. 8. Magnetic field in vacuum, magnetic induction, Lorentz's force, magnetic induction flux, magnetic field properties, Ampere's law in integral and differential form, field potential, vector potential, Biot-Savart's law. 9. Magnetic field in the material, current loop and its magnetic dipole moment, gyromagnetic ratio, magnetism, magnetization, vector of magnetic field intensity, model of ideal hard and soft magnetism, susceptibility and permeability of the environment, diamagnetic paramagnetic and ferromagnetic substances, hysteresis of magnetic materials. 10. Nonstationary dynamic electromagnetic field, electromagnetic induction, Faraday's law of electromagnetic induction, Lenz's rule, mutual and inherent induction, coupling factor, coil inductance. 11. Electromagnetic waves, oscillation circuits, energy balance, damped and undamped oscillations, resonance, coupling of circuits, open circuit, Hertz's dipole and its emission. 12. Maxwell's equations in the theory of dynamic electromagnetic field, , Maxwell's displacement current, generalized Ampere's law, a complete set of Maxwell's equations for non-stationary, quasi-stationary, stationary and static fields. 13. Wave equation, form of its solution, relation of electric vector, magnetic intensity and wave vector. 14. Energy and momentum of electromagnetic field, Poynting's vector. Practical exercises: The theoretical exercises follow the lectures and they practice the topic by solving the problems mostly from the field of technical applications of physics. Difficult tasks are solved by the team, less difficult examples are assigned individually. The students undergo two tests during the semester.

Learning activities and teaching methods
Monological explanation (lecture, presentation,briefing), Dialogue metods(conversation,discussion,brainstorming), Practicum, E-learning, Students' self-study
  • Class attendance - 56 hours per semester
  • Preparation for formative assessments - 8 hours per semester
  • Preparation for comprehensive test - 8 hours per semester
  • Preparation for exam - 20 hours per semester
  • Preparation for credit - 8 hours per semester
  • Presentation preparation (report) - 10 hours per semester
Learning outcomes
Students learn the basic properties of the electromagnetic field (stationary, nonstationary-dynamic) in vacuum and the matter. They will get basic information about the high frequency properties of electromagnetic fields and waves.
Students gain insight into the use of the electromagnetic field in technical applications, will be able to solve basic problems.
Prerequisites
Knowledge of physics of secondary school, theory of electrical engineering (ELT subject), integral and differential calculus ( mathematics MP1-M, MP2-M).

Assessment methods and criteria
Combined examination

Basic knowledge of courses MP1-M, MP2-M, Elt.
Recommended literature
  • Benešová, Z., Mayer, D. Základní příklady z teorie elektromagnetického pole.
  • Edminister, J. A. Electromagnetics, Crash course. McGraw-Hill, USA, 2003.
  • HALLIDAY, D., RESNICK, R., WALKER, J. Fyzika, část 2 - 5. Brno: VUTIUM, 2000.
  • Haňka, L. Teorie elektromagnetického pole. SNTL, Praha, 1975.
  • Inan, Urman S.; Inan, Aziz S. Engineering electromagnetics. Menlo Park : Addison-Wesley, 1999. ISBN 0805344233.
  • Mayer, D. Teorie elektromagnetického pole (2 díly). ZČU, Plzeň, 2004.


Study plans that include the course
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