### Electrical Circuits

#### Course Description

Basic definitions, terms, clasification, and properties of electrical circuits, elements, modelling, network transformations. Network theorems, electrical signals definition and signal properties, Laplace transform, application to basic signals, application to simple circuits, circuit equations, graphs and networks, definition of branch, node, tree fundamental loop, and cutsets, application ofr graph theory to circuit equations, solution of circuit equations in time and frequency domain, network functions, transfer functions, frequency response, immitance functions, LC and RC immitances, twoports, twoport parameters: z, y, a, h, and g, twoport interconections, basic filter circuits, gain and phase response, electrical transmission lines, definition, time and space signal distribution, reflections.

#### General Competencies

Acquiring the basic knowledge on electrical circuit concepts, their properties, and methods for solving the electrical circuit problems. Understanding the basic principles of electrical circuits and their properties. Understanding nodal and mesh analyses of simple circuits. Understanding the basic time and frequency properties of signals and circuits. Understanding 1st and 2nd order transients in RC and RLC circuits. Ability to perform the analyses of electrical circuits in time and frequency domain. Ability to design simple circuits according to given specifications. Understanding the basic elements for computer aided circuit analysis and design. Understanding the basic principles of signal prosessing and transmission.

#### Learning Outcomes

1. Define real electrical component and circuit models.
2. Apply physical laws and mathematical tools for solving el. circuit problems.
3. Use Laplace transform in electrical circuita.
4. Solve electrical circuit using loop, node and state equations.
5. Calculate imitances, transfer functions and characteristic frequencies.
6. Analyze electrical circuit in time and frequency domains.
7. Analyze and create simple one-, two-ports and electrical filters.
8. Analyze transmission lines and signal transfer.

#### Forms of Teaching

Lectures

Material is tought using Power point presentation and blackboard. Lectures are organized together with laboratory exercises. Lectures also include auditory excercises. Using Moodle system students also solve domestic exercises.

Exams

Examinations are organized after each of six lecture cycles. The points are cummulatively added. There exist midterm and final exams, as well as, repeated exam.

Laboratory Work

The goal is to introduce electrical components and present measurement equipment and measurement procedures. Individual practical experience in laboratory in applying the concepts that are taught in lectures.

Consultations

Organized upon request.

Continuous Assessment Exam
Laboratory Exercises 0 % 15 % 0 % 15 %
Homeworks 0 % 8 % 0 % 8 %
Attendance 0 % 2 % 0 % 2 %
Mid Term Exam: Written 0 % 35 % 0 %
Final Exam: Written 0 % 40 %
Exam: Written 0 % 75 %
##### Comment:

To pass the exam, a student must: -have a minimum of 50% of the points from the middle and final exams, -have a minimum of 50% of the total points, -must complete all 6 laboratory exercises. Possible changes in scoring and grading will be announced on the first lecture.

#### Week by Week Schedule

1. Definitions and basic laws. Electric circuit elements. Modelling of real passive and active circuit components.
2. Kirchhoff laws. Circuit theorems. Network transformations.
3. Electric signals and Laplace transform.
4. Loop, node and, state equations. Circuit equations in time domain. Application of Laplace transform to circuit equations.
5. Linear graphs and networks. Circuit analysis using graph theory.
6. RC, RL and RLC circuit responses. Solution of circuit equations. Sinusoidal steady state analysis.
7. Midterm
8. Network functions. Natural frequencies. Frequency response.
9. Bode diagrams. Immitance functions.
10. One-port circuits.Two-port circuits. Interconnection of two-ports. Reactance circuits.
11. Transfer functions of RLC circuits. Passive electrical filters.
12. Active circuits. Active electrical filters.
13. Transmission lines. Time and space signal distribution.
14. Special cases of transmission line.
15. Final exam

#### Study Programmes

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

#### Literature

V. Naglic (1992.), Osnovi teorije mreža, Sveučilišna naklada
J. Vlach (1992.), Basic Network Theory with Computer Applications, Van Nostrand
A. M. Davis (1998.), Linear Circuit Analysis, Brooks/Cole, Pacific Grove, CA, USA
A. B. Carlson (2000.), Circuits, Brooks/Cole, Pacific Grove, CA, USA

#### General

ID 31489
Winter semester
7 ECTS
L2 English Level
L1 e-Learning
75 Lectures
15 Laboratory exercises