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The goal of this course is for students who have completed Introduction to EE course to continue improving their understandings and skills on Circuit Analysis. It covers all the important techniques that you will need during your entire Electrical Engineering career, including Laplace Transform, Element Impedance, Forced & Natural Response, Poles & Zeros, Transfer Function, Frequency Response, Fourier Series & Fourier Transform and Filter Design.
The goal of this course is for students who have completed Introduction to EE course to continue improving their understandings and skills on Circuit Analysis. It covers all the important techniques that you will need during your entire Electrical Engineering career, including Laplace Transform, Element Impedance, Forced & Natural Response, Poles & Zeros, Transfer Function, Frequency Response, Fourier Series & Fourier Transform and Filter Design.
This course starts with dissecting capacitors and inductors. You will have a much solid understanding of the working principles of these two fundamentally important elements. This first section will also help you revise some of the important concepts that you learned from the previous course, such as Ohm's Law, KVL and KCL. You will learn how to analyse simple RL & RC circuit using the first principles.
The second section of the course introduces the powerful Laplace Transform. You will learn what it is, why we study it and how to apply it on circuit analysis. You will also see how we go from Laplace Transform to Element Impedance and how we use Laplace in conjunction with Forced & Natural Response. Here we will clarify many questions that most students have over the years. For example, what is the difference between the impedance jwL and sL?
The third section focuses on Systems. You will learn what Systems and Transfer Functions are, how it helps us to have flexible input and output signal, and how to combine systems mathematically. Here we will go through producing a Bode plot and a Phase Plot (i.e. Frequency Response) using the Transfer Function.
Section 4 deals with Signals. You will learn the difference between Fourier Series & Fourier Transform. We will also learn to apply Fourier Transform on a simulated signal as well as on an audio file using a Python program.
Lastly, we will go through a practical example of designing a filter. You will see how we can use all the knowledge that we acquired to design a digital and an analogue filter.
A quick overview of what the main objectives and topics are in this course.
A quick glance of every lecture from Week 1 to Week 12.
Lecture 1 covers everything about a “capacitor” including various capacitor types, its physical structure, energy and so on.
In Lecture 2, we learn how to analyse a simple RC circuit using the KCL, KVL and the capacitor equation. Here you will see how an “Ordinary Differential Equation” can be solved using “Initial Conditions”.
This quiz will refresh your memory on important concepts from Lecture 1 & 2.
Similar to Lecture 1, Lecture 3 covers everything about an “inductor” including various inductor types, its physical structure, energy and so on.
In Lecture 4, we go through how to analyse a simple RL circuit. We will also introduce the concept of “Natural & Forced Response.” You will see how this concept is applied to simplify our circuit analysis in Lecture 7.
This quiz will refresh your memory on important concepts from Lecture 3 & 4.
In Lecture 5, we dive into the world of “Laplace Transform”. We look at what Laplace Transform is & does, and why we need it. We will go through the Laplace Table and some important properties in this lecture.
In Lecture 6, we apply Laplace Transform to our circuit analysis. You will see how we get in and out of the Laplace world using a simple RC circuit example. We will also learn a simple math trick called “the Partial Fraction”
This quiz covers the important concepts from Lecture 5 & 6
In Lecture 7, we apply the concept of “Natural & Forced Response” and “Element Impedance” to help simplify our circuit analysis. Here we also raise the question of what the differences are between the “Element Impedance” and the “Impedance in AC Circuit Analysis”
Lecture 8 covers the differences between “Element Impedance” and the “Impedance in AC Circuit Analysis”. We also revisit the “Laplace Table” to discuss how “Poles” can help us further simplify our circuit analysis.
This quiz covers the important concepts from Lecture 7 & 8
Lecture 9 introduces the concept of a “System.” Here we discuss what Systems and Transfer Functions are and how it helps us to have flexible input and output signals. We also look at how to connect systems together mathematically.
In Lecture 10 we look at a different Transfer Function H(w) (as opposed to H(s)), why we use H(w) and how to produce a “Bode Plot” and a “Phase Plot” from this transfer function H(w)
This quiz will help you test your knowledge on the important concepts of systems.
In Lecture 11, we learn to break down signals using “Fourier Series” or “Fourier Transform.” You will see how Fourier Transform is applied using a simple Python Program.
This quiz will test your understandings on Fourier Series and Fourier Transform.
Lecture 12 utilises all the concepts we learn throughout the course and demonstrates how a typical filter design carries out. In this lecture, we discuss filter types, filter orders and some well-known filters, such as Chebyshev, Butterworth and so on.
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