• Course Info

    EE 201 - Circuit Theory I

    This course is the first course in EE curriculum offered in 2nd year 1st semester. This course aims to introduce the mathematical models for circuit components and then use these models in the circuit analysis. (This course is accompanied with a separate laboratory course (EE213) where the theory introduced in this course is put into practice.)

    In the first part of the course, the component classifications (such as memoryless, dynamic, active-passive, linear, non-linear, time-invariant, time-varying) and conservation laws in relation with circuit analysis (energy and charge conservation) are given. The (i,v)  characteristic for 1-port components are introduced. Then, classical circuit analysis methods are examined on linear resistive circuits. Network theorems (Thevenin-Norton equivalents and Tellegen’s Theorem) are given. Then, the effect of non-linear components are introduced via a brief study of small signal analysis and circuits with piecewise linear components (ideal diodes) are studied. Resistive 2-port descriptions are studied. Op-amp models and their usage in the analysis is studied.  After the introduction of dynamic components, the course concludes with the 1st and 2nd order circuits. The zero-state/zero-input decompositions are given. The constant coefficient differential equations (CCDE) and their solutions (homogenous and particular solutions) are underlined and put in relation with circuit analysis. The impulse, step-response and other response are studied. The dynamic circuits with switches (linear time-varying circuits) and ideal diodes (dynamic circuits with non-linear components) are studied.

    The topics of this course and the following course (EE202) builds a foundation to several sub-fields of electrical and electronics engineering. Several topics introduced in these courses are studied in much more depth in some specialized courses.

    Course Content
    Lumped circuits: Kirchoff`s laws, basic lumped elements, circuit graphs, circuit equations, linear and nonlinear resistive circuits, first and second order dynamic circuits. Introduction to operational amplifier circuits.


    YouTube Playlist for all EE 201 Lectures:
    Teacher

  • Lecture 1


    • 00:00 - Intro
      06:25 - Definitions: Charge
      13:12 - Definitions: Current
      21:21 - Definitions: Voltage
      28:40 - Definitions: Ground
      33:15 - Definitions: Power
      36:07 - Passive Sign Convention
      48:46 - Definitions: Electric Circuit, Lumped Circuit
      51:00 - Definitions: Terminal, Node

         
         

  • Lecture 2

    • 00:00 - Review of Definitions and Lecture Intro
      06:50 - Circuit Analysis: Network Equations and Terminal Equations
      08:15 - Kirchhoff’s Laws
      08:35 - Kirchhoff’s Current Law (KCL)
      11:26 - Kirchhoff’s Current Law : Example I
      16:39 - Kirchhoff’s Current Law : Example II
      18:55 - Kirchhoff’s Voltage Law (KVL)
      21:36 - Kirchhoff’s Voltage Law : Example I
      26:13 - Kirchhoff’s Voltage Law : Example II
      32:47 - Outro

        
        


  • Lecture 3

    • 00:00 - Review of Kirchhoff’s Laws and Lecture Intro
      02:00 - Terminal equations
      06:50 - Lumped Elements: Independent Voltage Source
      14:05 - Independent Voltage Source Example and Waveforms
      16:19 - Lumped Elements: Independent Current Source
      20:55 - Activeness of Independent Source
      22:57 - Lumped Elements: Resistor
      26:20 - Resistor Examples
      33:24 - Definitions: Linear
      35:20 - Definitions: Bilateral
      38:34 - Definitions: Active
      40:50 - Definitions: Voltage Controlled and Current Controlled
      42:22 - Definitions: Time Varying and Time Invariant
      43:10 - Characterization of the Resistor Examples
      50:50 - Outro



        
        

  • Lecture 4

    • 00:00 - Review of Resistors and Lecture Intro
      01:00 - Linear Time Invariant(LTI) Resistor
      03:44 - Definitions: Resistance and Conductance
      07:00 - Definitions: Short Circuit
      09:23 - Definitions: Open Circuit
      11:05 - Power of an LTI Resistor
      13:40 - Lumped Elements: Capacitor
      17:24 - Parallel-Plate Capacitor
      21:30 - LTI Capacitor
      27:40 - LTI Capacitor Example I: Constant Current
      36:19 - LTI Capacitor Example II: Constant Voltage
      39:31 - Power of an LTI Capacitor
      45:40 - Outro


        
        

  • Lecture 5

    • 00:00 - Lecture Introduction
      00:16 - Lumped Elements: Inductor
      04:51 - LTI Inductor
      05:38 - Definitions: Inductance
      09:49 - Power of LTI Inductor
      12:35 - Summary of LTI Circuit Elements
      22:25 - Solving a Circuit: Example part (a)
      33:01 - Power generated/dissipated on the components: Example part (b)
      41:47 - Lumped Elements: Dependent Sources
      43:04 - Dependent Sources: Voltage Controlled Voltage Source
      45:40 - Dependent Sources: Current Controlled Voltage Source
      47:19 - Dependent Sources: Voltage Controlled Current Source
      48:14 - Dependent Sources: Current Controlled Current Source
      49:15 - Dependent Sources: Example
      51:31 - Lumped Elements: Ideal Transformer
      54:47 - Power of Ideal Transformer



        
        

  • Lecture 6

    • 00:00 - Review and Lecture Introduction
      02:18 - Interconnection Equations
      04:00 - Interconnection Equations: Circuit Graph
      06:19 - Circuit Graph: Procedure
      07:55 - Circuit Graph: Example
      13:45 - Circuit Graph: Representation of k-Terminal Elements
      21:49 - Circuit Graph: Application of KCL on a Circuit Graph
      26:04 - Interconnection Equations: Circuit Matrices
      30:40 - Circuit Matrices: Incidence Matrix
      35:19 - Review of Linear Dependence
      37:24 - Linear Dependence: Example
      40:45 - Definitions: Reduced Incidence Matrix
      43:45 - Reduced Incidence Matrix: Example
      46:52 - Definitions: Connected Graph
      48:00 - Connected Graph: Example
      50:15 - Summary of KCL of Circuit Graph
      52:04 - Outro



        
        

  • Lecture 7

    • 00:00 - Review and Lecture Introduction
      00:35 - Circuit Matrices: Relation of Incidence Matrix to Branch Voltages
      04:48 - Definitions: Branch Voltages
      06:57 - Definitons: Node Voltages
      08:30 - Cicuit Matrices: Application of KVL on Circuit Graph
      17:55 - Application of KVL on Circuit Graph: Remark
      19:39 - Interconnection Equations: Tellegen's Theorem
      24:31 - Tellegen's Theorem: Remark about Conservation of Power
      27:59 - Definitions: Planar Graph
      29:45 - Planar Graph: Example
      33:02 - Definitions: Nonseparable Graph
      34:41 - Definitions: Mesh Matrix
      38:30 - Mesh Matrix: Example
      47:10 - Definitions: Mesh Current
      48:43 - Mesh Current: Example
      53:57 - Outro



        
        

  • Lecture 8

    • 00:00 - Review of Incidence Matrix and Mesh Matrix, Tellegen's Theorem
      14:27 - Lecture Introduction
      15:51 - Interconnection Equations: Nonplanar Circuits
      16:10 - Definitons: Tree
      18:01 - Tree: Example
      22:33 - Definitions: Cutset
      25:32 - Cutset: Example
      30:35 - Definitions: Fundamental Cutset
      32:55 - Fundamental Cutset: Example, Definitions: Cotree
      38:32 - Application of KCL on Fundamental Cutset
      41:48 - Remark about Cotree Branch Currents
      43:51 - Definitions: Fundamental Loop
      47:07 - Fundamental Loop: Example
      55:38 - Remark about Tree Branch Voltages

        
        

  • Lecture 9

    • 00:00 - Lecture Introduction
      00:37 - Interconnection Equations: Duality
      00:54 - Definitions: Dual Graph
      06:14 - Dual Graph: Example
      17:10 - Definitions: Dual Circuit
      21:17 - Dual Circuit: Example I
      24:57 - Dual Circuit: Example II
      43:24 - Definitions: Principles of Duality
      46:53 - Duality: Examples of Dual Pairs

        
        

  • Lecture 10

    • 00:00 - Linear Time Invariant(LTI) Resistive Circuit
      03:05 - Definitions: Nonlinear and Linear Circuits
      04:32 - Definitions: Time Varying and Time Invariant Circuits
      05:45 - Definitions: Dynamic and Resistive Circuits
      07:32 - LTI Resistive Circuits: Substitution Theorem
      15:37 - Definitions: Port, One-Port
      19:43 - Definitions: Equivalent Circuit
      24:03 - Series Connection
      27:53 - Parallel Connection
      32:15 - Equivalent Circuits with One Source and One LTI Resisor
      41:05 - Equivalent Circuit: Example
      42:50 - Solving LTI Resistive Cicuit
      44:24 - Outro

        
        

  • Lecture 11

    • 00:00 - Solving LTI Resistive Circuit: Node Voltage Analysis
      04:20 - Node Voltage Analysis: Example I (without Voltage Sources)
      22:50 - Node Voltage Analysis: Example II (with Voltage Sources)
      31:33 - Remark about Voltage Sources
      33:01 - Example II Revisited
      38:07 - Modified Node Voltage Analysis
      40:54 - Modified Node Voltage Analysis: Method I
      42:20 - Method I: Example
      52:02 - Outro

        
        

  • Lecture 12

    • 00:00 - Review, Lecture Introduction
      04:00 - Modified Node Voltage Analysis: Method II, Definitions: Supernode
      05:07 - Method II: Example Revisited
      11:20 - Method II: Example with Dependent Source
      25:22 - Method II: Exercise Choosing Different Ground Node
      27:34 - Solving LTI Resistive Circuit: Mesh Current Analysis (Dual of Node Voltage Analysis)
      28:46 - Mesh Current Anlaysis: Example I (without Current Source)
      42:55 - Mesh Current Anlaysis: Example II (with Current Source)
      49:28 - Outro

        
        

  • Lecture 13

    • 00:00 - Review
      01:09 - Modified Mesh Current Analysis
      02:58 - Modified Mesh Current Analysis: Method I
      04:38 - Method I: Example
      11:53 - Modified Mesh Current Analysis: Method II
      14:07 - Method II: Example with Current Controlled Voltage Source
      20:59 - Mesh Current Analysis: Example
      33:23 - Node Voltage Anlaysis: Example Re-solved
      43:52 - Outro

        
        

  • Lecture 14

    • 00:00 - Lecture Introduction
      01:04 - LTI Resistive Circuits: One-port Circuits
      05:12 - One-port Circuits: Example Statement
      06:25 - Input resistance of One-port Circuits
      13:00 - One-port Circuits: Example Solution
      16:13 - LTI Resistive Elements: Δ to Y Transform (Three-terminal Resistive Circuits)
      30:52 - LTI Resistive Elements: Y to Δ Transform (Three-terminal Resistive Circuits)
      34:24 - Remark about Symmetry in Δ and Y Resistance Equivalence
      36:11 - Δ and Y Resistance Equivalence: Example

        
        

  • Lecture 15

    • 00:00 - Lecture Introduction
      00:31 - Definition: Linearity
      03:31 - Linearity: Example (Illustration of Inputs and Outputs)
      07:34 - Definitions: Linearity (cont'd)
      09:57 - Linearity: Example (cont'd)
      14:07 - Linearity: Block Diagram Representation
      17:19 - Linearity: Implication
      22:18 - Linearity: Example for the Implication, Definition: Superposition
      31:28 - Example: Kill the Independent Current Source (cont'd)
      34:46 - Example: Kill the Independent Voltage Source (cont'd)
      40:24 - Linearity: Example

        
        

  • Lecture 16

    • 00:00 - Review and Lecture Introduction
      02:49 - One-Port Circuits: Equivalence of One-Port Circuits
      03:51 - One-Port Circuits: Thevenin's Theorem
      11:24 - One-Port Circuits: Norton's Theorem
      15:23 - Remark about Thevenin and Norton Equivalent Circuits
      17:30 - Computing Equivalent Thevenin Voltage, Resistance, and Norton Current
      24:40 - Example: Step 1 Compute Open Circuit Voltage
      30:04 - Example: Step 2 Compute Short Circuit Current
      34:20 - Example: Step 3 Find Equivalent Resistance
      36:33 - Example: Step 3 Find Equivalent Resistance (Alternative Way)
      42:42 - Example: Summary of Results

        
        

  • Lecture 17

    • 00:00 - Review of Thevenin\Norton Equivalent Circuits
      09:47 - Example I
      13:40 - Example I: Computing Open Circuit Voltage(Thevenin Equivalent Circuit)
      19:30 - Example I: Computing Short Circuit Currrent(Norton Equivalent Circuit)
      26:14 - Example I: Computing Equivalent Resistance(Thevenin Equivalent Circuit)
      27:22 - Example I: Second Part
      33:34 - Example II: Equivalent Resistance of a One-Port With an Ideal Transformer
       
       

  • Lecture 18

    • 00:00 - Lecture Introduction
      03:25 - One-Port Circuits: Maximum Power Transfer
      06:39 - Maximum Power Transfer: Power Delivered to Load Resistance
      09:12 - Maximum Power Transfer: Maximize the Power Delivered and Conclusion
      16:05 - Example
      19:43 - Example: Finding Thevenin Equivalent Circuit
      24:26 - Example: Study Thevenin Equivalent Circuit
      27:05 - Example: Maximum Power Delivered to Load Resistance
       
       

  • Lecture 19

    • 00:00 - Lecture Introduction
      00:45 - LTI Resistive Circuits: Two-Port Circuits
      10:25 - Example I: Trivial Case
      13:13 - Example II
      18:39 - Two-Port Circuits: Another Approach for Resistance Matrix
      14:07 - Linearity: Block Diagram Representation
      22:11 - Example II: Revisited
      28:04 - Two-Port Circuits: Conductance Matrix
      31:18 - Example II: Conductance Matrix
       
       

  • Lecture 20

    • 00:00 - Lecture Introduction
      00:44 - Two-Ports Circuits: Hybrid Matrices
      02:30 - Hybrid Matrices: Type I & Type II
      04:30 - Two-Ports Circuits: Transmission Matrix(Chain Parameters Representation)
      06:11 - Example I : Chain Parameters Representation of An Ideal Transformer
      10:52 - Example II: Chain Parameters Representation & Input Resistance of A Terminated Two Port
      17:17 - Example III: Input Resistance of A Terminated Ideal Transformer
      21:06 - Example IV: Hybrid Representation
      24:33 - Example IV: Step I : Hybrid Representation & Input Resistance of A Terminated Two Port
      29:21 - Example IV: Step II
      33:10 - Power of Two-Port Circuits
      37:39 - Definition: Active and Passive(in Two-Port Circuit context)
      39:31 - Two-Port Circuits: Interconnections of Two-Ports
      40:21 - Interconnections of Two-Ports: Parallel Connection
      46:59 - Interconnections of Two-Ports: Series Connection
      48:56 - Interconnections of Two-Ports: Cascade Connection
      50:46 - Example: Finding Resistance Matrix
       
       

  • Lecture 21

    • 00:00 - Lecture Introduction
      01:00 - Two-Port Circuits: Reciprocity
      02:13 - Properties of Reciprocal Two-Port Circuits
      09:13 - Proof of Equation 1(First Property)
      22:23 - Implications of Reciprocity: Case I
      29:39 - Implications of Reciprocity: Case II (Dual of Case I)
      31:34 - Implications of Reciprocity: Case III
      34:01 - Example
       
       

  • Lecture 22

    • 00:00 - Lecture Introduction: Symmetric Cicuits
      01:16 - Example I
      10:37 - Remark about Example I
      14:44 - Example II
      19:56 - Example III
      25:58 - Exercise: Symmetry with Superposition
      30:45 - Exercise: Step I
      36:23 - Exercise: Step II
      41:13 - Exercise: Step III
       
       

  • Lecture 23

    • 00:00 - Lecture Introduction: Time-Varying and Nonlinear Resistive Circuits
      01:29 - Circuits with a Single Nonlinear Resistor
      05:01 - Circuits with a Single Nonlinear Resistor: Solution 1 (Algebraic Solution)
      06:53 - Circuits with a Single Nonlinear Resistor: Solution 2 (Graphical Solution)
      17:07 - Example I
      29:04 - Review of Substitution Therorem
      34:59 - Example II
      40:38 - Example II: Step I Obtain the Thevenin Equivalent
      43:52 - Example II: Step II Obtain the Operating Point
      48:08 - Example II: Step III Substitution of the Operating Point
       
       

  • Lecture 24

    • 00:00 - Lecture Introduction
      01:16 - Circuits with a Time-Varying Source And a Nonlinear Resistor: Small-Signal Analysis
      06:15 - Small-Signal Analysis: Step I (Determination of the DC Operating Point)
      11:29 - Small-Signal Analysis: Step II (First Order Approximation for the AC Component at the DC Operating Point)
      34:00 - Solution Summary for Step I and II
      35:14 - Small-Signal Analysis: Step III (Combine Solutions)
      36:28 - Example
      38:27 - Example: Step I
      40:45 - Example: Step II
      44:45 - Example: Step III
       
       

  • Lecture 25

    • 00:00 - Lecture Introduction
      01:21 - Definition: Ideal Diode
      04:30 - Remark about Resistive Components
      08:11 - Series & Parallel Connections of Diodes, LTI Resistors, and Constant Sources
      09:11 - Case I: A Resistor and a Diode in Series
      22:29 - Case II: A Resistor and a Diode in Parallel
      29:58 - Case III: Combination of Series and Parallel I
      36:36 - Case IV: Combination of Series and Parallel II
      40:43 - Case V: A Constant Voltage Source and a Diode in Series
      45:48 - Case VI: A Constant Current Source and a Diode in Parallel
      49:26 - Case VII: Combination of Sources and a Diode
       
       

  • Lecture 26

    • 00:00 - Lecture Introduction: Examples for Piecewise-Linear Resistive Circuits
      00:50 - Example I: Obtain the i-v Characteristics of a Circuit
      14:50 - Example I: Graphical Method
      17:44 - Example II: Obtain the Circuit from i-v Characteristics I
      22:46 - Example II: Summation of i-v Characteristics Series Connection
      27:07 - Example II: Summation of i-v Characteristics Parallel Connection
      29:44 - Example II: Combine Sub-Circuits
      32:25 - Example III: Obtain the Circuit from i-v Characteristics II
      35:20 - Example III: Decomposing Part I
      37:25 - Example III: Decomposing Part II
      39:25 - Example III: Decomposing Part III
      44:08 - Example III: Combining Sub-Circuits
       
       

  • Lecture 27

    • 00:00 - Lecture Introduction: Operational Amplifier(OP-AMP) Circuits
      01:02 - Definition: Operational Amplifiers
      04:39 - Operational Amplifiers: Transfer Characteristics
      10:12 - Operational Amplifiers: Notations and Operating Modes
      13:22 - Operational Amplifiers: Dependent Source Model
      16:50 - Operational Amplifiers: Remark about Ideal OP-AMP models
      20:02 - Operational Amplifiers: Infinite-gain Ideal OP-AMP
      26:59 - Basic Op-Amp Circuits: Voltage Follower(Buffer)
      36:00 - Operational Amplifiers: Remark about Input Terminal Currents
      42:11 - Basic Op-Amp Circuits: How about Switching Input Terminal?
       
       

  • Lecture 28

    • 00:00 - Lecture Introduction
      00:48 - Basic Op-Amp Circuits: Inverting Amplifier
      16:24 - Basic Op-Amp Circuits: Noninverting Amplifier
      26:04 - Basic Op-Amp Circuits: Summation Amplifier
      34:07 - Basic Op-Amp Circuits: Difference Amplifier
      41:08 - Basic Op-Amp Circuits: Integrator Amplifier
      45:39 - Basic Op-Amp Circuits: Differentiator Amplifier
       
       

  • Lecture 29

    • 00:00 - Lecture Introduction
      00:26 - Example I: Region-Independent Analysis
      08:49 - Example I: Definition of Coefficients β (Positive Feedback) and γ (Negative Feedback)
      10:40 - Example I: Linear Region
      17:55 - Example I: Positive Saturation Region
      20:51 - Example I: Negative Saturation Region
      22:46 - Example I: Input and Transfer Characteristics for β grater than γ Case
      27:48 - Example I: Input and Transfer Characteristics for β less than γ Case
      30:26 - Example I: Input and Transfer Characteristics for β equal to γ Case
      32:29 - Example II: Region-Independent Analysis
      40:10 - Example II: Linear Region
      44:15 - Example II: Positive Saturation Region
      46:20 - Example II: Negative Saturation Region
      48:20 - Example II: Input and Transfer Characteristics
       
       

  • Lecture 30

    • 00:00 - Lecture Introduction
      00:24 - Example: OP-AMP Circuit with a Diode
      04:05 - Example: Determining the i-v Characteristics of One-port with the Diode
      07:29 - Example: Simplifying the Circuit
      09:59 - Example: Region-Independent Analysis for the Simplified Circuit
      17:51 - Example: Linear Region
      22:54 - Example: Positive Saturation Region
      24:07 - Example: Negative Saturation Region
      25:28 - Example: Transfer Characteristic Curve
      27:54 - More Realistic Op-Amp Model
      30:24 - Example: Analyzing Voltage Follower
      43:03 - Common Mode Rejection Ratio (CMRR)
      49:50 - Practical Values of CMRR
       
       

  • Lecture 31

    • 00:00 - Lecture Introduction: Dynamic Elements
      01:48 - Elementary Functions: Unit Step Function
      03:13 - Elementary Functions: Unit Ramp Function
      04:09 - Elementary Functions: Unit Impulse Function(Delta Function)
      06:18 - Definition: Unit Impulse Function
      10:34 - Observations for Elementary Functions
      13:03 - Example I : From Elementary Functions to the Sketch
      16:50 - Example II : From Sketch to the Elementary Functions
      26:32 - Example III: Finding Derivatives of Elementary functions
      32:46 - Sifting Property of the Impulse Function
      36:19 - Dynamic Elements: LTI Capacitor
      40:00 - LTI Capacitor: Stored Energy
       
       

  • Lecture 32

    • 00:00 - Review and Lecture Introduction
      01:27 - LTI Capacitors: Initial Condition Model 1
      05:03 - LTI Capacitors: Initial Condition Model 2
      07:28 - LTI Capacitors: Initial Condition Model 3
      09:37 - Definition: Equivalence of Initial Condition Models
      12:02 - Proof of Equivalence
      21:19 - LTI Capacitors: Capacitors in Parallel Connection
      27:33 - LTI Capacitors: Capacitors in Series Connection
      35:28 - LTI Capacitors: Current Division
      39:55 - LTI Capacitors: Voltage Division
       
       

  • Lecture 33


    • 00:00 - Lecture Introduction
      00:23 - Example I : Parallel RC Circuit with Unit Step Current Source from 0⁻ to 0⁺
      21:38 - Example II: Parallel RC Circuit with Unit Impulse Current Source from 0⁻ to 0⁺
      31:55 - Remark about Boundedness of Capacitor Voltage
      37:01 - Example II: Revisited
      40:20 - Example III: Series RC Connection
       
       

  • Lecture 34


    • 00:00 - Lecture Introduction
      00:44 - Dynamic Elements: LTI Inductors
      04:14 - LTI Inductors: Stored Energy
      06:56 - LTI Inductors: Initial Condition Models
      17:44 - LTI Inductors: Inductors in Series Connection
      23:31 - LTI Inductors: Inductors in Parallel Connection
      31:04 - LTI Inductors: Voltage Division
      34:28 - LTI Inductors: Current Division
       
       

  • Lecture 35

    • 00:00 - Lecture Introduction
      00:18 - Example I: LTI Inductors in Series
      03:28 - Example I: Solution 1
      08:33 - Example I: Solution 2
      13:34 - Example II
      15:43 - Example II: Solution t=0⁻
      18:50 - Example II: Solution t=0⁺
      32:59 - Example II: Solution t=∞
      39:50 - Example III
      44:30 - Example IV
      49:29 - Example V
       
       

  • Lecture 36

    • 00:00 - Lecture Introduction: First Order Circuits
      01:38 - First Order Circuits: Zero-Input Response
      03:24 - Zero-Input Response: LTI RC Circuit
      07:30 - Zero-Input Response: Solution to First Order Homogeneous Differential Equation
      15:20 - Remark about the time constant τ=RC
      16:27 - Zero-Input Response: iC(t), iR(t)
      21:01 - Example: Zero-Input Response of LTI RL Circuit
      25:58 - First Order Circuits: Zero-State Response
      27:04 - Zero-State Response: LTI RC Circuit with Constant Input
      32:43 - Zero-State Response: Solution to First Order Non-Homogeneous Differential Equation
       
       

  • Lecture 37

    • 00:00 - Lecture Introduction
      00:32 - Definition: Step Response
      03:29 - Example I: Parallel RL Circuit
      05:27 - Example I: Obtain Differential Equation
      08:19 - Example I: Find Homogeneous and Particular Solution
      14:28 - Example I: VR(t)
      16:28 - Example II: Series RL Circuit with Sinusoidal Input
      19:40 - Example II: Obtain Differential Equation
      22:45 - Example II: Find Homogeneous and Particular Solution
      38:27 - First Order Circuits: Superposition in Linear Dynamic Circuits
       
       

  • Lecture 38

    • 00:00 - Lecture Introduction
      00:56 - First Order Circuits: Complete Response
      02:02 - Example: Nonzero Input, Nonzero Initial Condition
      04:57 - Example: Obtain Thevenin Equivalent of Resistive Subcircuit
      07:59 - Example: Obtain Differential Equation
      09:41 - Example: Find Homogeneous and Particular Solution
      12:50 - Example: Re-solve with Superpositon
      14:23 - Example: Step 1, Find Zero-State Response
      15:52 - Example: Step 2, Find Zero-Input Response
      17:06 - Example: Step 3, Superpose
      17:57 - Complete Response: Yet Another Approach
      27:42 - Example
      30:51 - Example: Solution for 0≤t≤2⁻
      36:34 - Example: Solution for 2⁺≤t
       
       

  • Lecture 39

    • 00:00 - Lecture Introduction
      00:15 - Example I: Ramp Excitation
      01:52 - Example I: Obtain Differential Equation
      05:17 - Example I: Find Homogeneous and Particular Solution
      11:20 - Example I: Solve for the Initial Condition
      14:37 - Example II
      20:13 - Example II: Find the Norton/Thevenin Equivalent for the Inductor
      22:29 - Example II: Obtain Differential Equation
      26:28 - Example II: Substitute the Inductor Voltage
      30:18 - Example III
      34:12 - Example III: 0⁻ ≤ t ≤ 0⁺
      40:26 - Example III: t ≥ 0⁺
       
       

  • Lecture 40


    • 00:00 - Example I
      04:32 - Example I: 0 ≤ t ≤ 12⁻
      12:48 - Example I: 12⁻ ≤ t ≤ 12⁺
      23:20 - Example I: 12⁺ ≤ t
      27:43 - Example II
      32:00 - Example II: 0 ≤ t ≤ t₁⁻
      39:22 - Example II: t₁⁺ ≤ t ≤ t₂⁻
      44:24 - Example II: t₂⁺ ≤ t ≤ t₃⁻
       
       

  • Lecture 41


    • 00:00 - Lecture Introduction
      02:08 - Time-Invariance of The Zero-State Response
      05:05 - Example
      15:57 - First Order Circuits: Pulse Response
      24:48 - First Order Circuits: Impulse Response
       
       

  • Lecture 42


    • 00:00 - Lecture Introduction
      00:43 - First Order Circuits: Impulse Response of RC Circuit by Limit Approach
      18:57 - First Order Circuits: Step Response of RC Circuit
      21:49 - Relation between Step and Impulse Response
      31:04 - Example
       
       

  • Lecture 43


    • 00:00 - Lecture Introduction
      00:35 - Summary of Impulse and Step Response
      04:47 - First Order Circuits: Ramp Response through Integration
      11:43 - Ramp Response: Verify by Differential Equation
      18:19 - Example: Exponential Input
      22:40 - Exponential Input Case I: Input Frequency is Different from the Natural Frequency
      28:35 - Exponential Input Case II: Input Frequency is the Natural Frequency
       
       

  • Lecture 44


    • 00:00 - Lecture Introduction
      00:35 - Review of Time-Invariance and Homogeneity
      05:25 - Example: Linear Time-Varying Resistor
      10:39 - Example: Shift the Initial Time
      14:27 - Remark about Time-Invariance
      15:19 - Nonlinear Resistor
      19:49 - Remark about Homogeneity
       
       

  • Lecture 45

    • 00:00 - Example I: First Order Circuit with Capacitor and Operational Amplifier
      02:46 - Example I: Determine Initial Region - Spoiler: It is Linear
      07:40 - Example I: Analyze the Circuit in the Linear Region
      13:34 - Example I: Will It Go +Sat or -Sat?
      20:12 - Example I: Sketch the Vc(t) and Vo(t)
      24:53 - Example II: First Order Circuit with Inductors and Nonlinear Resistor
      30:00 - Example II: Determine Initial Operating Region of Nonlinear Resistor
      32:18 - Example II: Find the Time the Resistor changes Operating Region
      35:12 - Example II: Determine the Characteristics under New Operating Region
      39:06 - Example II: Find the Currents Passing through each Inductor
       
       

  • Lecture 46

    • 00:00 - Lecture Introduction: Second Order Circuits
      00:29 - Second Order Circuits: Zero-Input Response of Series RLC Circuit
      01:39 - Formulation of Differential Equations with Respect to Vc
      07:10 - Formulation of Differential Equations with Respect to iL
      11:52 - Characteristic Polynomial and Natural Frequencies
      21:55 - Solution for the Overdamped Case
      24:55 - Example
      29:59 - Solution for the Critically Damped Case
      32:06 - Example
      36:38 - Solution for the Underdamped Case
      38:40 - Example
      51:52 - Solution for Lossless Case
      54:43 - Example
      59:14 - Why Case IV is called "Lossless"?
       
       

  • Lecture 47

    • 00:00 - Lecture Introduction
      00:23 - Second Order Circuits: Step Response of Parallel RLC Circuit
      02:52 - Parallel RLC Circuit: the Differential Equation for iL(t)
      07:08 - Example I: Step Response of Parallel RLC Circuit
      07:51 - Example I: Obtain the Differential Equation and States at 0+
      14:29 - Example I: Homogeneous Solution and Particular Solution
      16:54 - Example I: Overall Step Response
      23:04 - Second Order Circuits: Impulse Response of Parallel RLC Circuit
      25:57 - Example II: Impulse Response of Parallel RLC Circuit
      28:08 - Example II: Obtain the Differential Equation and States at 0+
      34:14 - Example II: Find Zero-Input Response for the Initial States
      38:05 - Example III: Series RLC Circuit
      40:09 - Example III: Determine Initial States at 0- (Steady State)
      43:13 - Example III: Obtain the Differential Equation and States at 0+
      46:45 - Example III: Find Zero-Input Response
       
       

  • Lecture 48

    • 00:00 - Example I: Design Question
      03:11 - Example I: Step I Obtain the Differential Equation
      08:33 - Example I: Step II Use Solution for Steady State to Determine R2/R1
      11:38 - Example I: Step III Use the Characteristic Polynomial and Step II to Find R1
      16:55 - Example I: Step IV Find the Parameters A and B
      21:25 - Example II
      25:15 - Example II: 0 ≤ t ≤ 6⁻
      28:50 - Example II: 6⁻ ≤ t ≤ 6⁺ (ignore equality because there is YouTube restriction)
      36:14 - Example II: 6⁺ ≤ t
       
       

  • Lecture 49

    • 00:00 - Example I: Parallel RLC Circuit
      03:15 - Example I: 0 ≤ t ≤ 3⁻
      03:46 - Example I: 3⁻ ≤ t ≤ 3⁺
      07:44 - Example I: 3⁺ ≤ t
      17:51 - Example II: Series RLC Circuit
      24:51 - Example II: Step I: Zero-Input Response
      28:36 - Example II: Step II: Step Response
      32:35 - Example II: Step III: Impulse Response
      34:00 - Example II: Step IV: Zero-State Response
      36:30 - Example II: Step V: Overall Response
      37:08 - Example III
      38:50 - Example III: Classical Solution
      41:13 - Example III: Alternative Way: Find the Natural Frequency
      46:05 - Example III: Particular Solution and Steady State Solution
      52:33 - Example III: Overall Solution