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Fundamentals of Circuit Analysis

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Overview

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Fundamentals of Circuit Analysis is an introductory course in the study of circuit theory, focusing on linear, time-invariant circuits with lumped parameters. It is a foundational subject for majors in electronic information.

Through the study of this course, students will become familiar with the basic theories, knowledge, and skills of circuit analysis. They will be able to accurately understand and flexibly apply fundamental concepts and methods. This course aims to help students establish correct ways of thinking and reasonable patterns of thought, enabling them to understand and master the laws of circuit theory. It lays a solid foundation for students to study related professional courses and engage in circuit design in the future.

This course uses the "Eleventh Five-Year Plan" national planning textbook for general higher education, "Fundamentals of Circuit Analysis". The teaching content includes: basic concepts of circuits, equivalent transformations, general analysis methods for linear networks, network theorems, analysis of first-order and second-order circuits, sinusoidal steady-state analysis, analysis of coupled inductors and transformer circuits, frequency characteristics of circuits, two-port networks, and simple nonlinear resistor circuits.


Syllabus

  • Week 1: Chapter 1 Basic Concepts of Circuit Analysis
    • 1.1 Actual Circuits and Circuit Models
    • 1.2 Variables in Circuit Analysis
    • 1.3 Resistor Elements
    • 1.4 Source Elements
    • 1.5 Kirchhoff's Law
    • 1.6 Analysis of Single Loop and Single Node-Pair Circuits
    • Open Class (1) Let's learn some basic circuit components
    • Exercises and Solutions (1)
    • Circuit Simulation (1)
  • Week 2:Chapter 2 The Equivalent Transformations in Circuit Analysis
    • 2.1 Two-Terminal Circuits
    • 2.2 Passive Two-Terminal Circuits
    • 2.3 Wye-Delta Circuits Transformation
    • 2.4 Transformation of Independent Sources
    • 2.5 Source Transformations between Practical Models
    • 2.6 Transformations of Dependent Sources
    • Exercises and Solutions (2)
  • Week 3: Chapter 3 General Methods of Linear Circuit Analysis
    • 3.1 Branch Analysis
    • 3.2 Mesh Analysis
    • 3.3 Nodal Analysis
    • 3.4 Dual Characteristics and Dual Circuits
    • Exercises and solutions (3)
    • Circuit Simulation (2)
  • Week 4: Chapter 4 Circuit Theorems (Part I)
    • 4.1 Superposition Theorem
    • 4.2 Alternative Theorem
    • 4.3 Thevenin’s and Norton’s Theorems
    • 4.4 The Applications of Thevenin’s and Norton’s Theorems
    • 4.5 Maximum Power Transfer
    • Exercises and solutions (4)
    • Circuit Simulation (3)
  • Week 5: Chapter 4 Circuit Theorems (Part II) + Chapter 6 Time-domain Analysis of Transient Circuit Response (Part I)
    • 4.6 Tellegen's Theorem
    • 4.7 Reciprocal Theorem
    • 6.1 Capacitors and Inductors
    • 6.2 Switching Law and the Calculation of Initial Value
    • Exercises and solutions (5)
    • Open Class (2) The application of capacitor
  • Week 6: Chapter 6 Time-domain Analysis of Transient Circuit Response (Part II))
    • 6.3 Zero-Input Response of a First-Order Circuit
    • 6.4 Zero-State Response of a First-Order Circuit
    • 6.5 Complete Response of a First-Order Circuit
    • 6.6 Three-Factor Method of A First-Order Circuit
    • 6.7 Step Function and Step Response
    • Exercises and solutions (6)
  • Week 7: Chapter 7 Sinusoidal Steady-State Circuit Analysis (Part I)
    • 7.1 Sinusoids
    • 7.2 Effective Value of Sinusoids
    • 7.3 Phasors for Sinusoids
    • 7.4 Phasors for Kirchhoff’s Law
    • 7.5 Phasors for Voltage-Current Relationships of Circuit Elements
    • 7.6 Impedance and Admittance
    • 7.7 Transformations of Sinusoidal Steady-State Circuit
    • 7.8 Phasors Analysis for Sinusoidal Steady-State Circuit
    • Exercises and solutions (7)
    • Open Class (3) The tragic genius – Nikola Tesla
  • Week 8: Chapter 7 Sinusoidal Steady-State Circuit Analysis (Part II)
    • 7.9 Sinusoidal Steady-State Circuit Power Calculations
    • 7.10 Maximum Power Transfer
    • 7.11 Basic Concepts of Three-Phase Circuits
    • 7.12 Balanced Three-Phase Circuits
    • 7.13 Power in balanced three-phase circuits
    • Exercises and solutions (8)
    • Open Class (4) How to identify high-tension busbar
    • Circuit Simulation (5)
  • Week 9: Chapter 7 Sinusoidal Steady-State Circuit Analysis (Part III) + Chapter 8 Mutual Inductance and Transformers Circuits Analysis (Part I)
    • 7.14 The decomposition and the effective value of periodic signal
    • 7.15 Steady-State analysis of non-sinusoid periodic signal
    • 8.1 Coupling Indutance
    • 8.2 Decoupling equivalence of coupling inductance
    • 8.3 Air-core Transformer
    • Exercises and solutions (9)
  • Week 10: Chapter 8 Mutual Inductance and Transformers Circuits Analysis (Part II)
    • 8.4 Ideal Transformers
    • 8.5 Analysis of circuits with ideal transformers
    • 8.6 The unity-coupled transformer
    • 8.7 Modulus matching for power transmission
    • Exercises and solutions (10)
  • Week 11: Chapter 9 Frequency Response
    • 9.1 Network function and frequency characteristics
    • 9.2 Frequency characteristics of RC circuits
    • 9.3 RLC series resonant circuits
    • 9.4 Frequency characteristics of RLC series circuits
    • 9.5 GCL Parallel resonant circuits
    • 9.6 General resonant circuits
    • Exercises and solutions (11)
    • Circuit Simulation (6)
  • Week 12: Chapter 11 Two-Port Circuits
    • 11.1 Two-Port Circuits
    • 11.2 Z parameters of Two-Port Circuits
    • 11.3 Y Parameters of Two-Port Circuits
    • 11.4 H Parameters of Two-Port Circuits
    • 11.5 A Parameters of Two-Port Circuits
    • Exercises and solutions (12)
  • Final Exam

    Taught by

    Nanjing University of Posts and Telecommunications

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