Modeling of Electromagnetic Field

Data is displayed for academic year: 2023./2024.

Laboratory exercises

Course Description

Theory of electromagnetic fields. Quasi-static approximation in the field calculation. Maxwell equations. Propagation of electromagnetic waves. Gauge transforms and potentials. Forces and stresses. Analytical methods. Numerical methods: finite difference method, method of moments, finite element method.

Study Programmes

University graduate
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Learning Outcomes

  1. Explain the quasi-static approximation in elekctromagnetic fields calculation
  2. Explain the principles of electromechanical energy conversion
  3. Explain the propagation of electromagnetic waves
  4. Describe the propagation of guided electromagnetic waves
  5. Explain Maxwell equations
  6. Explain energy and power flow
  7. Apply gauge transforms and calculate the potentials
  8. Calculate forces and stresses

Forms of Teaching


Involvement in lectures

Independent assignments

preparing for lab, homeworks


Laboratory work

Work with mentor


Grading Method

Continuous Assessment Exam
Type Threshold Percent of Grade Threshold Percent of Grade
Laboratory Exercises 0 % 15 % 0 % 15 %
Quizzes 0 % 5 % 0 % 5 %
Mid Term Exam: Written 0 % 30 % 0 %
Final Exam: Written 0 % 30 %
Final Exam: Oral 20 %
Exam: Written 0 % 60 %
Exam: Oral 20 %

Week by Week Schedule

  1. Electromagnetic field, field sources, field vectors, Maxwell’s equations in differential and integral form
  2. Electromagnetic potentials, scalar electric and magnetic vector potential, antipotentials, gauge transforms
  3. Hertz potentials, integral representation of potentials, wave equations and integrals of potentials and fields
  4. Energy and forces in electromagnetic field, conservation of electromagnetic energy, Poynting’s theorem
  5. Electromagnetic momentum, volume forces and surface stresses, Maxwell stress tensor
  6. Classification of electromagnetic fields, equations of static electric field, static magnetic field, quasistatic electromagnetic field and dynamic electromagnetic field
  7. Analytical methods, separation of variables, rectangular coordinate system, Laplace’s equation, wave equation
  8. Midterm exam
  9. Separation of variables in cylindrical and spherical coordinate system, Laplace’s equation, wave equation
  10. Finite difference method, accuracy and stability of solution, application to transmission lines and waveguides
  11. Method of moments, integral equations, Green’s functions, method of images
  12. Application of method of moments to computation of static fields
  13. Finite element method, solution of two-dimensional Laplace’s and Poisson’s equation, deriving of equivalent integral form, discretization of domain, approximation of unknown function on element
  14. Assembling of equation system, solution of the system, post processing
  15. Final exam


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

For students


ID 223685
  Summer semester
L1 English Level
L1 e-Learning
45 Lectures
0 Seminar
0 Exercises
13 Laboratory exercises
0 Project laboratory

Grading System

86 Excellent
74 Very Good
62 Good
50 Sufficient