Theory of Electromagnetic Field

The course cannot be taken simultaneously with:

Teorie elmg. pole (Dálk.) (-D17P1)

Lecturer:

Tutor:

Supervisor:

Department of Electromagnetic Field

Synopsis:

This course brings information on electromagnetic field computation, forming the starting ground of many other subjects and is the necessary part of the knowledge of any electro-engineer. Based on fundamentals, students learn basic characteristics and solution methods of static, stationary and time varying fields. Methods for capacitor, inductor, line, magnetic circuits and transformer design are presented.

Requirements:

Syllabus of lectures:

1. Basic theorems of electromagnetic field, charges and currents

2. The Maxwell,s equations in empty space, direct field solution using them

3. Field of electrical charges, the Laplace,s and Poisson,s equations

4. Analytical and numerical solution of electrostatic fields

5. Macroscopic model of matter. Polarisation and magnetisation

6. Field of the stationary current. Magnetic field of currents

7. Magnetic field potentials, self and mutual inductance

8. Magnetic circuits and their solution. Field in ferromagnetic environment

9. Nonstationary field. The complete Maxwell,s equations, material relations

10. The Faraday,s law. Energy and forces in electromagnetic field

11. The Poynting,s theorem. Power absorbed by the matter

12. Electromagnetic wave, plane harmonic wave

13. Field and waves in conductors, skin-effect

14. Guided waves, TEM waves on two-conductors and co-axial transmission lines

Syllabus of tutorials:

1. Mathematical introduction - calculation with vectors, differential operators, integrals. Vector of electric field, potential.

2. Basic methods of electric field determination (the Gauss,law, the method of superposition, the method of images), calcualtion of the capacitance.

3. The Laplace,s equation solution - separation of variables, conformal transformation.

4. Practice with computers - solution of electrostatic field by the finite elements method.

5. Field of the stationary current.

6. Basic methods of stationary magnetic field solution - the Amper,s law, the method the superposition, the Biot-Savart law.

7.Magnetic field potentials, calculation of the inductance.

8.Practice with computers - electrostatic field, magnetic field - magnetic circuits.

9.Project - coaxial line synthesis.

- magnetic circuits.

10. The Faraday,s law, nonstationary electromagnetic field.

11. Plane electromagnetic wave.

12. Plane electromagnetic wave, skin effect.

13.Laboratory - experiments.

14. Skin effect. Credit.

Study Objective:

Study materials:

[1] Plonsey,R., Collin,R.E.: Principles an Applications of Electromagnetic Fields, Mc. Graw Hill, New York 1961

[2] Stratton,J.A.: Electromagnetic Theory. Mc Graw-Hill, New York 1991

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans:

• Elektronika a sdělovací technika - základní blok - kombinované studium (compulsory course)
• Výpočetní technika - základní blok - kombinované studium (compulsory course)
• Silnoproudá elektrotechnika - bakalářský blok (compulsory course)
• Elektronika a sdělovací technika - bakalářský blok (compulsory course)
• Výpočetní technika - bakalářský blok (compulsory course)
• Silnoproudá elektrotechnika - základní blok - kombinované studium (compulsory course)
• Společný plán pro základní blok, kombinované studium (compulsory course)