University of Liege | Version française
Academic year 2014-2015Value date : 12/05/2015
ELEC0053-2  Electric circuits

Duration :  30h Th, 30h Pr
Number of credits :  
Bachelor in engineering (Bachelor in engineering sciences, civil engineer orientation), 2nd year5
Master in Electrical Engineering, research focus, 1st year5
Master in Electro-mechanical Engineering, research focus, 1st year5
Master in in Electrical Engineering, professional focus in sustainable car technologies, 1st year5
Master in Electrical Engineering, specialized approach, 1st year5
Master in Electro-mechanical Engineering, professional focus in sustainable car technologies, 1st year5
Master in Electro-mechanical Engineering, Professional Focus (Management), 1st year5
Lecturer :  Patricia Rousseaux
Language(s) of instruction :  
French language
Organisation and examination :  
Teaching in the second semester
Course contents :  
This course will introduce the fundamental aspects and essential techniques of electric circuits analysis. A circuit is a compound system of interconnected electrical components. The fields of application of circuits and the range of their characteristics are extremely vast: integrated circuits, radio and TV circuits, electronic measuring devices, telecommunication systems, large electric energy systems,...
As numerous domains of engineering, circuit analysis appeals to modeling: a circuit is considered as a set of interconnected idealized elements or models set up so as to reproduce at best the physical behavior of the actual system. This course is more particularly dedicated to the introduction of these idealized elements, to the description of their characteristics and limitations as well as to their main methods of analysis.
The teaching approach is progressive: the concepts and techniques are first introduced in the limited context of resistive circuits with constant sources. The results are then extended to sinusoidal steady-state and time-varying current analysis. The course covers the following topics :
  • Basic concepts : circuit variables (voltage, current, power), basic components (resistance, voltage and current sources), basic laws (Ohm, Kirchhoff)
  • Fundamental theorems : Tellegen, substitution, superposition, Thevenin and Norton equivalents
  • General techniques of circuit analysis : the mesh-current and the node-voltage methods
  • Response of first (RC, RL) and second (RLC) order circuits
  • Sinusoidal steady-state analysis and power calculations, resonant and selective circuits, balanced three-phase circuits
  • Two-port circuits.
Learning outcomes of the course :  
At the end of the course, the student will master the theoretical basic foundations of electric circuit analysis. The student will be able to implement the corresponding calculation techniques, to derive the complete electrical state of a cricuit and to establish its power balance. The student will also be able to realize comparisons between various methods and to choose the most appropriate one when applied to a given problem. The exercises sessions will help the student in developing critical analysis of computed numeric results and evaluating orders of magnitude.
Prerequisites and co-requisites/ Recommended optional programme components :  
  • Elementary knowledge of electricity and electromagnetism (from basic physics course).
  • Very good ability in calculus with complex numbers.
Planned learning activities and teaching methods :  
The course is based on theoretical lectures (30 hours) and tutorials (30 hours).
During the lectures, the theoretical concepts involved in circuit analysis are described, resolution techniques are established and compared and associated mathematical notions are presented. The various techniques are illustrated on simple examples.
During the tutorials, students are trained to problem solving through different approaches, comparing their respective essential characteristics and limitations.
The regular practice of exercises proposed in the exercises course book as well as in the reference book is strongly recommended.
An optional session of questions-answers, including the resolution of problems taken from a previous examination, is proposed at the end of the quadrimester. The students are invited to prepare the resolution of the proposed problems before the session.
Mode of delivery (face-to-face ; distance-learning) :  
Face-to-face.
Recommended or required readings :  
Main and compulsory readings:
The slides used during the lectures and the exercises course book will be available at the beginning of the quadrimester at the "Centrale des cours de l'AEES" as well as via "MyULg" website (ULg student identification required).
Recommended reference book :
Fundamentals of Electric Circuits, C. Alexander and M. Sadiku, MCGraw-Hill Higher education, 4th edition.
Assessment methods and criteria :  
In-year assessment.
Two non mandatory exercises tests are proposed, each one dealing with the exercises topics covered during the preceding tutorials. These tests are optional but can be taken into account for the final grade (25 %) if :
- The student takes part to all two tests (except absence justified by a medical certificate);
- The corresponding average mark is in favor of the student, i.e. greater than the final examination, part 2 mark.
Final examination (June).
A written examination comprising two parts:
Part 1, theory (50 %) : concerns all the theoretical concepts approached in the lectures; includes open questions and multiple choice questions. Calculators are forbidden, no document can be consulted.
Part 2, problems (50 % without tests mark, 25 % with tests mark) : comprises resolution of exercises similar to those considered during the tutorials. The calculator is required. The student can refer to a personal formulary of one page maximum to be prepared beforehand.
In case of second session (September): a written examination organized according to the same principle as the evaluation of the first session. The tests mark is not any more taken into account.
Work placement(s) :  
Organizational remarks :  
The course is taught during the second quadrimester (see schedule on the Faculty website http://www.facsa.ulg.ac.be) : one half-day per week, 2 hours lecture followed by 2 hours tutorial.
Contacts :  
Patricia ROUSSEAUX Institut de Mathématique, B37, bureau 0/11 Tel : 04.366.26.85 e-mail : R.Rousseaux@ulg.ac.be



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