### Electromagnetic Field Theory

#### 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.

#### 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

Lectures

Involvement in lectures

Independent assignments

preparing for lab, homeworks

Laboratory

Laboratory work

Work with mentor

consultations

Continuous Assessment Exam
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

#### Study Programmes

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Electric Machines, Drives and Automation (profile)
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Electronic and Computer Engineering (profile)
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Electronics (profile)
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Information and Communication Engineering (profile)
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#### Literature

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

#### General

ID 223685
Summer semester
5 ECTS
L3 English Level
L1 e-Learning
60 Lectures
13 Laboratory exercises