Mastering the Art of Circuit Analysis

person icon Dr. Simen Li

Mastering the Art of Circuit Analysis

Discover the hidden secrets of circuit analysis and unlock your engineering potential.

updated on icon Updated on Dec, 2023

language icon Language - English

person icon Dr. Simen Li

architecture icon Electrical Engineering,Electronics,Electrical Circuits,Electronics and Communication Engineering

Lectures -65

Duration -5.5 hours


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Course Description

At the heart of every great engineer lies a strong foundation in the fundamentals.

  • Do you feel like you're missing something fundamental?
  • Are you struggling to understand the core concepts of electrical engineering?
  • Do you feel overwhelmed by the vast amount of knowledge available, and wish you had a key to unlock the door of understanding?

Look no further than "Mastering the Art of Circuit Analysis" - The first course in The Tao of Phasor Series.

This course is not just about analyzing circuits with phasors:

  • With high-quality content, insightful lessons and engaging storytelling, you'll gain a deep understanding of the fundamental principles that underpin all of electrical engineering.
  • Our focus is not just on the HOW, but also on the WHY and the evolution of analytical methods in this field.
  • You'll discover that phasors are not just a mathematical tool, but a KEY to unlock the secrets of electrical engineering.

By the end of this course:

  • You'll learn how to harness the vast knowledge in this field and apply it to your career.
  • You'll learn how to master this field and develop the skills that will set you apart from your peers.
  • You'll have a solid foundation that will impact your entire electrical engineering career.
  • You'll be well on your way to becoming a confident and successful engineer.

Join us on this journey and discover the joy of understanding the Tao of electrical engineering!

Course Highlights:

Don't overlook this seemingly boring agenda. I am not using a conventional teaching style, but explaining how the circuit analysis approach is built up. This may solve many of the "WHYs" in your mind.

  • Basic Laws and Methods, Ohm
  • Kirchhoff Current and Voltage Laws, Kirchhoff
  • Nodal Voltage and Mesh Current Analysis
  • History of Electricity
  • RC and RL Circuits, 1st-order Differential Equation, 1st-order Circuit Response
  • General Solution for 1st-order Differential Equation, Examples
  • Reason to Study RLC Circuits
  • Kelvin, Ruhmkorff Coil
  • RLC Circuit Analysis, Maxwell, and Hertz
  • 2nd-order Differential Equation, Natural Response
  • Derivatives, Newton, Leibniz, Lagrange, and Arbogast
  • Heaviside & Heaviside's Trick
  • Characteristic Equation and Natural Responses
  • Undamped, Underdamped, Critically Damped and Overdamped
  • Discriminant and Damping Ratio
  • Simple Spring System and Pendulum System
  • Zero-state Response Examples, Complete Response Example
  • Revisit 1st-order Case
  • Sinusoidal Properties, Formula of Power Calculations, Magnitude vs. Amplitude
  • Sinusoidal Excitation Analysis (Time-domain)
  • Coordinate Systems and Descartes
  • Complex Plane and Gauss
  • Complex Numbers, Complex Plane and Sinusoidal Wave
  • Complex Excitation Analysis (Time-domain), Phasor Excitation Analysis (Frequency-domain)
  • Phasor Plane and Its Base Function
  • Sinusoidal Waves Synthesis
  • Phase Noise: The Leeson's Model
  • Phasors Everywhere
  • Impedance and Admittance, Kirchhoff’s Laws
  • Mr. Bigs, Steinmetz
  • Challenges and Silver Lining, The Paper, and Carson
  • The Beauty of Phasor

Who this course is for:

  • Students studying E.E. who want to accelerate their learning, gain a solid foundation and build confidence in circuit analysis. This is for you!
  • Engineers who want to develop a strong foundation in E.E. principles, refresh their knowledge and expand skill with informative ideas. This is for you!
  • Educators seeking a comprehensive resource to supplement their curriculum and teaching toolkit. This is for you!
  • Examination candidates seeking a way to gain the knowledge necessary to succeed. This is for you!


What will you learn in this course:

  • Not only learn HOW but also learn WHY in circuit analysis .
  • Concepts required to analyze and design circuits, as well as a better understanding of the basics.
  • Historical context of fundamental concepts in circuit analysis and their evolution over time.
  • Core concept of phasors and how they can be used to analyze and solve a wide range of electrical engineering problems.
  • Strong foundation for further study in other areas, e.g. signals and systems, comm. systems, RF transceivers, power systems, etc.


What are the prerequisites for this course?

  • Basic knowledge of algebra.
  • Basic knowledge of voltage, current, and components such as capacitors, inductors, and resistors.
Mastering the Art of Circuit Analysis


Check out the detailed breakdown of what’s inside the course

Course Overview
2 Lectures
  • play icon Welcome
  • play icon Overview 02:10 02:10
Basic Circuit Laws
5 Lectures
1 Lectures
First-order Circuits
5 Lectures
Second-order Circuits
27 Lectures
Sinusoidal & Complex Excitations
11 Lectures
Phasor Analysis
8 Lectures
The Story Phasor
5 Lectures
1 Lectures

Instructor Details

Dr. Simen Li

Dr. Simen Li

  • As an electrical engineering expert and educator with over 15 years of experience, I have worked on a variety of projects that have honed my expertise in the field.
  •  I was an RF system engineer at MediaTek Inc. and an assistant professor at the Department of Electronics, National Taipei University of Technology, a professional lecturer with Agilent (now Keysight),  Civil Aeronautics Administration (Taiwan), Tze-Chiang Foundation of Science & Technology, and Metro Taipei. I'm currently running a company to solve communication problems in construction. Now I'm excited to bring my expertise to Udemy learners.
  • I am passionate about teaching the fundamental principles of electrical engineering in an accessible, engaging, and easy-to-understand way.
  • With my extensive knowledge of phasor and circuit analysis, I have developed the "The Tao of Phasor (TOP)" series to help students master the core concepts of electrical engineering quickly and efficiently.
  • As a co-author or translator of several technical books, I have demonstrated my ability to communicate complex information in a way that is both engaging and understandable.
  • My experience as both an engineer and a teacher has allowed me to develop a teaching style that is both approachable and effective. I look forward to sharing my knowledge with you and helping you succeed in your electrical engineering journey.

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