EE 201 - Circuit Theory I

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

      

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

    

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

    

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

    

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

    

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

    

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

    

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

    

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

    

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

    

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

    

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

    

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

    

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

    

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

    

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

    

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

  

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

  

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

  

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

  

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

  

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

  

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

  

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

  

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

  

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

  

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?

  

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

  

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

  

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

  

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

  

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

  

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

  

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

  

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

  

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

  

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

  

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

  

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⁺

  

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⁻

  

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

  

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

  

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

  

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

  

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

  

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"?

  

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

  

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

  

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