### Electromagnetic Fields

#### Learning Outcomes

1. Explain the basics laws of electromagnetism (Coulomb, Gauss, Biot-Savart and Faraday)
2. Apply the basic laws of electromagnetism to solve electromagnetic fields problems
3. Classify problems in electromagnetics to static electric, static magnetic, static current and time-varying problems
4. Recognize advantages of application of numerical methods to problems in electromagnetics
5. Apply computations of electromagnetic fields, inductances and capacitances to real-world problems
6. Describe the basic principles of electromechanical energy converison
7. Explain relation between electromagnetic fields and elements of electric circuits
8. Analyze energy transfer and storage in electromagnetic fields

#### Forms of Teaching

Lectures

Involment in lectures

Independent assignments

preparing for lab classes, homework

Laboratory

Laboratory work

Work with mentor

Lecturers consultations

Continuous Assessment Exam
Laboratory Exercises 0 % 10 % 0 % 10 %
Quizzes 0 % 6 % 0 % 6 %
Mid Term Exam: Written 0 % 30 % 0 %
Final Exam: Written 0 % 30 %
Final Exam: Oral 24 %
Exam: Written 24 % 60 %
Exam: Oral 24 %

#### Week by Week Schedule

1. Conservation of electric charge; Lorentz force; Electric field strength and magnetic induction; Macroscopic approach; Sources of electromagnetic field; Continuity equation.
2. Coulomb's law; Electric flux; Gauss's law; Biot-Savart law; Gauss's law in magnetic field; Ampere's circuital law; Faraday's law; Maxwell's equations in differential and integral form.
3. Boundary conditions; Generalised Ampere's circuital law; Displacement current; Maxwell's equations in differential and integral form; Energy and power flow; Poynting's theorem.
4. Electric potential; Relationship between electric field and potential; Visualization of electric field; Polarization; Density of electric flux and permittivity; Energy stored in electric field; Capacitance and condensers; Forces in electric field.
5. Laplace's and Poisson's equation for electric potential; Method of images; Charge in uniform motion; Equations of static current field; Boundary conditions; Ohm's law and Joule's law; Resistance; Electromotive force; Kirchhoff's laws and field equations; Method of images in current field.
6. Force on current in magnetic field; Magnetic flux; Gauss's law in magnetic field; Magnetization; Magnetic field strength and permeability; Types of magnetic materials; Energy stored in magnetic field; Inductance and mutual inductance; Forces in magnetic field; Magnetic circuits.
7. Phasors; Maxwell's equations an equations of potentials in phasor domain; Mean energy and power; Poynting's theorem for mean values.
8. Midterm exam.
9. Skin effect and depth of penetration.
10. Lenz's law; Induced voltages; Applications (transformers; Generators).
11. Equations of plane wave; Fundamental characteristics of wave (wave impedance, wavelength, phase constant, phase velocity); Waves in lossless materials.
12. Waves in lossless materials.
13. Waves in lossy materials.
14. Waves in lossy materials.
15. Final exam.

#### Study Programmes

Electrical Engineering and Information Technology (study)
(5. semester)

#### Literature

Željko Štih, Bojan Trkulja (2010.), Elektromagnetska polja - Magnetostatika,
Bojan Trkulja (.), Elektromagnetska polja - zadaci za vježbu,
Z. Haznadar, Ž. Štih (1997.), Elektromagnetizam I, Školska knjiga
Z. Haznadar, Ž. Štih (1997.), Elektromagnetizam II, Školska knjiga
S. Berberović (1998.), Teorijska elektrotehnika - odabrani primjeri, Graphis Z. Haznadar, Ž. Štih (2000.), Electromagnetic Fields, Waves and Numerical Methods, IOS Press S.V. Marshall, G.G. Skitek (1990.), Electromagnetic Concepts and Applications, Prentice-Hall W.H. Hayt (1988.), Engineering Electromagnetics, McGraw Hill
Dadić, Martin (2013.), Elektromagnetska polja - laboratorijske vježbe, Merkur A.B.D
S. Berberović, Ž. Štih, B. Trkulja (2010.), Elektromagnetska polja - Vremenski promjenjiva EM polja,

#### General

ID 183421
Winter semester
5 ECTS
L2 English Level
L1 e-Learning
60 Lectures
0 Exercises
15 Laboratory exercises
0 Project laboratory