DC Electrical Circuit Theory

General Data
Academic program	Formation ECAM LaSalle Ingénieur spécialité Mécanique et Génie Electrique (ENGINEERING PROGRAM)			:
Type d'EC	Classes (LIIEEng01EEDCElectricCircuitAnalysis)
Lectures : 18h00 Tutorials : 24h00 Lab Work : 6h00 Total duration : 90h00	Status :	Period : Semester 1	Education language : English

Learning Outcomes
By the end of this course, students will be able to: 1. Define electric circuit variables and characterize the behavior of ideal basic circuit elements. 2. Determine whether energy is supplied or absorbed by a circuit element and analyze power balance for the whole circuit. 3. Apply methods to solve electric circuits (i.e., find currents and voltages of interest): use Ohm's law, Kirchhoff's current and voltage laws, node-voltage and mesh-current techniques. 4. Analyze and determine the appropriate approach to solving simple and complex circuits. 5. Define the concept of Thevenin and Norton theorems and construct Thevenin or Norton equivalents. 6. Derive the differential equations describing transient responses of RC, RL and RLC circuits. Develop an expression for the equation's solution as a function of time.

Learning Outcomes

By the end of this course, students will be able to:

1. Define electric circuit variables and characterize the behavior of ideal basic circuit elements.
2. Determine whether energy is supplied or absorbed by a circuit element and analyze power balance for the whole circuit.
3. Apply methods to solve electric circuits (i.e., find currents and voltages of interest): use Ohm's law, Kirchhoff's current and voltage laws, node-voltage and mesh-current techniques.
4. Analyze and determine the appropriate approach to solving simple and complex circuits.
5. Define the concept of Thevenin and Norton theorems and construct Thevenin or Norton equivalents.
6. Derive the differential equations describing transient responses of RC, RL and RLC circuits. Develop an expression for the equation's solution as a function of time.

Content
1. Circuit terminology (branches, nods, meshes & loops…) 2. Circuit variables (definitions of current & voltage, I & V measurements, characteristics, power, energy) 3. Ideal basic circuit elements: independent voltage and current sources, dependent voltage and current sources, resistors, main properties, sign conventions 4. Ohm's law, Kirchhoff's current and voltage laws 5. Resistive circuits (series and parallel combinations, voltage and current dividers, ?-to-Y transformation) 6. Methods for circuit analysis (node voltage and mesh current methods, number of independent equations) 7. Source transformation 8.Thévenin's and Norton's theorems 9. Superposition theorem 10. Maximum power theorem 11. Inductors and capacitors (description of the components, voltage and current relation, exchanged power formulas, mutual inductance and mesh current equations for circuits containing magnetically coupled coils) 12. 1st Order responses (natural and step functions, RL & RC circuits) and 2nd order responses (RLC circuits) 13. Beyond DC circuits (introduction to AC signals and frequency responses of RLC circuits

Content

1. Circuit terminology (branches, nods, meshes & loops…)
2. Circuit variables (definitions of current & voltage, I & V measurements, characteristics, power, energy)
3. Ideal basic circuit elements: independent voltage and current sources, dependent voltage and current sources, resistors, main properties, sign conventions
4. Ohm's law, Kirchhoff's current and voltage laws
5. Resistive circuits (series and parallel combinations, voltage and current dividers, ?-to-Y transformation)
6. Methods for circuit analysis (node voltage and mesh current methods, number of independent equations)
7. Source transformation
8.Thévenin's and Norton's theorems
9. Superposition theorem
10. Maximum power theorem
11. Inductors and capacitors (description of the components, voltage and current relation, exchanged power formulas, mutual inductance and mesh current equations for circuits containing magnetically coupled coils)
12. 1st Order responses (natural and step functions, RL & RC circuits) and 2nd order responses (RLC circuits)
13. Beyond DC circuits (introduction to AC signals and frequency responses of RLC circuits

Pre-requisites / co-requisites
High School Mathematics, High School Physics

Bibliography
Recommended resources: -James William Nilsson, & Riedel, S. A. (2011). Electric Circuits. Pearson College Division.

Assessment(s)
N°	Nature	Coefficient	Observable objectives
1	Mid-term Exam 1	0,15	1-3
2	Mid-term Exam 2	0,15	3-5
3	Final Exam	0,5	1-5
4	attendance, setup implementation and result analysis, report for each experiment	0,15	1-6
5	participation by answering questions and solving exercises in class, quizzes, preparing homework	0,05	1-6