##### Description

Electric circuit theory and electromagnetic theory are the two fundamental theories upon which all branches of electrical engineering are built, including computer engineering. Many branches of electrical engineering such as power, electric machines, control, electronics, communications, and instrumentation, are based on electric circuit theory. Therefore, the basic electric circuit theory is "the" foundation and starting point for what follows in electrical and computer engineering programs. Circuit theory is also valuable to students specializing in other areas of the physical sciences because circuits are perfect and easy-to-understand models for the study of energy systems in general. This is also partly due to the common applied mathematics, physics, and topology involved. This course builds on fundamental physics and mathematics from APSC 112, APSC 171, APSC 172, and APSC 174.

##### Course Learning Outcomes (CLOs)

- Analyse systems and determine whether they are linear, time-invariant, causal, dynamic, and stable.
- Determine the unit impulse response of an LTI system and use it to calculate the system output produced by a given input.
- Find the Fourier series of periodic signals.
- Carry out Fourier transform analysis, including filtering, and determine the frequency response.
- Use the Laplace transform to analyse continuous-time systems, including RLC circuits.

##### Credit Breakdown

Lecture: 3

Lab: 0.25

Tutorial: 0.5

##### Academic Unit Breakdown

Mathematics 12

Natural Sciences 0

Complementary Studies 0

Engineering Science 33

Engineering Design 0

##### Course Structure and Activities

Week 1: 1) Introduction to signals; 2) continuous-time signals and their properties; 3) basic discrete-time and digital signals

Week 2: 1) Introduction to systems; 2) systems with and without memory, concept of state, initial conditions, zero-input and zero-state responses; 3) basic properties of systems

Week 3: 1) Basic system description; 2) discrete- and continuous-time linear, time-invariant (LTI) systems, discrete and continuous-time convolutions; 3) convolution integral and calculation, LTI systems and differential equations

Week 4: 1) Continuous-time signal analysis; 2) Fourier series and transform; 3) types of signals, orthogonality of complex exponentials

Week 5: 1) Fourier series of periodic signals; 2) Fourier transform; 3) relation between Laplace and Fourier transforms

Week 6: 1) Properties of Fourier transform; 2) convolution; 3) Fourier Transform Analysis

Week 7: 1) filtering and frequency response; 2) BIBO stability; 3) steady state response of stable systems

Week 8: 1) response speed, time constant; 2) frequency response; 3) fundamental concepts of filtering, modulation

Week 9: 1) Laplace transform and continuous-time system analysis; 2) Laplace and inverse Laplace transforms; 3)region of convergence

Week 10: 1) properties of Laplace transform; 2) transform pairs; 3) partial fraction expansion

Week 11: 1) zero-input and zero-state response, modes, poles, zeros; 2) transfer function representation of systems, system block diagrams; 3) analysis of RLC networks & Transform impedance

Week 12: 1) Brief introduction to feedback; 2) Bode plots; 3) pole-zero diagrams

##### Laboratory Studies

The lectures are complemented with laboratory experiments every two weeks.

##### Tutorials

Sample problems will be covered weekly to help with the understanding of the course material on the theoretical side. The hour-long tutorials are intended to be interactive directed at filling the gaps in the students' comprehension of the notions.

##### Textbook

The textbook for this course is based on the best-selling book of Nilsson and Riedel: Electric Circuits, 10th Edition, Prentice Hall (Please note that editions 9 & 10 are different).

This book is a mandatory item.

##### OnQ Webpage

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