Electromagnetic Fields

Data is displayed for the academic year: 2025./2026.

Lectures

Course Description

The themes are: Lorentz force, electric field strength, magnetic flux density. Sources: charge and current. Charge at rest: Coulomb s law, Gauss s law, energy and potential in electric field. Dielectrics, conductors, capacitance. Charge in uniform motion: Ohm s law, resistance. Biot-Savart s law, Ampere s circuital law, magnetic materials, energy in magnetic field, inductances, magnetic circuits. Time-dependent fields, Faraday s law, sinusoidal fields. Displacement currents, Maxwell equations, electromagnetic waves.

Prerequisites

Solving linear systems of equations. Vector analysis and analytic geometry of space. Differential and integral calculus of several variables. Ordinary differential equations. Fourier analysis. Laplace transform. Vector analysis. Complex analysis.

Study Programmes

University undergraduate
[FER3-EN] Electrical Engineering and Information Technology - study
(5. semester)

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

Involvement in lectures

Independent assignments

preparing for lab classes, homework

Laboratory

Laboratory work

Work with mentor

Lecturers consultations

Grading Method

Continuous Assessment Exam
Type Threshold Percent of Grade Threshold Percent of Grade
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. Lorentz force, electric field intensity and magnetic flux density, macroscopic approach, sources of electromagnetic field, continuity equation, static electric field in vacuum, Coulomb's law, electric field of continuous charge distribution
  2. Gauss's law for electric field, field equations and scalar electric potential, materials in electric field, conductors, insulators
  3. Applications of Gauss's law for electric fields, interface conditions between two dielectrics, Poisson and Laplace equations for electric field, method of images
  4. Energy in the electrostatic field, forces and capacitance, capacitors
  5. Charged particles in electric and magnetic field, charges at uniform motion, static current density as a field, analogies with static electric field
  6. Static magnetic field in vacuum, Biot-Savart law, Ampère's circuital law, magnetic vector potential, Gauss's law for magnetic fields
  7. Magnetic properties of materials, magnetization, magnetic interface conditions, magnetic circuits
  8. Midterm exam
  9. Faraday's law of induction, law of induction due to transformer action, law of induction for moving conductors, combined motional and transformer action
  10. Energy stored in the magnetic field, inductance and mutual inductance, forces in the magnetic field: principle of virtual work
  11. Displacement current and Maxwell’s equations, the Poynting theorem and electromagnetic power, time-harmonic electromagnetic fields, phasors
  12. The one-dimensional wave equation in free-space and perfect dielectrics, time-harmonic plane waves, wavelength, intrinsic impedance, phase constant, phase velocity
  13. Propagation of plane waves in lossy dielectrics, propagation constant, attenuation constant, propagation of plane waves in low-loss dielectrics and good conductors, power in a uniform plane wave
  14. Retarded potentials, electromagnetic radiation, Hertzian dipole, radiation field
  15. Final exam

Literature

Z. Haznadar, Ž. Štih (1997.), Elektromagnetizam I, Školska knjiga
Z. Haznadar, Ž. Štih (1997.), Elektromagnetizam II, Školska knjiga
Bojan Trkulja (2012.), Elektromagnetska polja - zadaci za vježbu, n.a.
S. Berberović (1998.), Teorijska elektrotehnika - odabrani primjeri, Graphis
Dadić, Martin (2013.), Elektromagnetska polja - laboratorijske vježbe, Merkur A.B.D
William H. Hayt, Jr., John A. Buck (2006.), Engineering electromagnetics, McGraw-Hill
S.V. Marshall, G.G. Skitek (1990.), Electromagnetic Concepts and Applications, Prentice-Hall

General

ID 209765
  Winter semester
5 ECTS
L1 e-Learning
60 Lectures
0 Seminar
0 Exercises
15 Laboratory exercises
0 Project laboratory
0 Physical education excercises

Grading System

86 Excellent
74 Very Good
62 Good
50 Sufficient