**Preliminaries; Current and Voltage; Electrical Elements and Circuits; Kirchhoff's Laws** |

Lecture 01 - Preliminaries |

Lecture 02 - Current |

Lecture 03 - Voltage |

Lecture 04 - Electrical Elements and Circuits |

Lecture 05 - Kirchhoff's Current Law (KCL) |

Lecture 06 - Kirchhoff's Voltage Law (KVL) |

**Basic Elements: Current and Voltage Sources; R, L, C, M; Linearity of Elements** |

Lecture 07 - Voltage Source |

Lecture 08 - Current Source |

Lecture 09 - Resistor |

Lecture 10 - Capacitor |

Lecture 11 - Inductor |

Lecture 12 - Mutual Inductor |

Lecture 13 - Linearity of Elements |

**Elements in Series and Parallel** |

Lecture 14 - Series Connection - Voltage Sources in Series |

Lecture 15 - Series Connection of R, L, C Current Source |

Lecture 16 - Elements in Parallel |

Lecture 17 - Current Source in Series with an Element; Voltage Source in Parallel with an Element |

Lecture 18 - Extreme Cases: Open and Short Circuits |

Lecture 19 - Summary |

**Controlled Sources** |

Lecture 20 - Voltage Controlled Voltage Source (VCVS) |

Lecture 21 - Voltage Controlled Current Source (VCCS) |

Lecture 22 - Current Controlled Voltage Source (CCVS) |

Lecture 23 - Current Controlled Current Source (CCCS) |

Lecture 24 - Realizing a Resistance using VCCS or CCCS |

Lecture 25 - Scaling an Element's Value using Controlled Sources |

Lecture 26 - Example Calculation |

**Power and Energy in Circuits** |

Lecture 27 - Power and Energy Absorbed by Electrical Elements |

Lecture 28 - Power and Energy in a Resistor |

Lecture 29 - Power and Energy in a Capacitor |

Lecture 30 - Power and Energy in an Inductor |

Lecture 31 - Power and Energy in a Voltage Source |

Lecture 32 - Power and Energy in a Current Source |

**Circuit Analysis Methods** |

Lecture 33 - Goals of Circuit Analysis |

Lecture 34 - Number of Independent KCL Equations |

Lecture 35 - Number of Independent KVL Equations and Branch Relationships |

Lecture 36 - Analysis of Circuits with a Single Independent Source |

Lecture 37 - Analysis of Circuits with Multiple Independent Sources using Superposition |

Lecture 38 - Superposition: Example |

**Nodal Analysis** |

Lecture 39 - What is Nodal Analysis? |

Lecture 40 - Setting up Nodal Analysis Equations |

Lecture 41 - Structure of the Conductance Matrix |

Lecture 42 - How Elements Appear in the Nodal Analysis Formulation |

Lecture 43 - Completely Solving the Circuit Starting from Nodal Analysis |

Lecture 44 - Nodal Analysis Example |

Lecture 45 - Matrix Inversion Basics |

**Extending Nodal Analysis with Different Sources** |

Lecture 46 - Nodal Analysis with Independent Voltage Sources |

Lecture 47 - Supernode for Nodal Analysis with Independent Voltage Sources |

Lecture 48 - Nodal Analysis with VCCS |

Lecture 49 - Nodal Analysis with VCVS |

Lecture 50 - Nodal Analysis with CCVS |

Lecture 51 - Nodal Analysis with CCCS |

Lecture 52 - Nodal Analysis Summary |

**Mesh Analysis** |

Lecture 53 - Planar Circuits |

Lecture 54 - Mesh Currents and their Relationship to Branch Currents |

Lecture 55 - Mesh Analysis |

Lecture 56 - Mesh Analysis with Independent Current Sources - Supermesh |

Lecture 57 - Mesh Analysis with Current Controlled Voltage Sources |

Lecture 58 - Mesh Analysis with Current Controlled Current Sources |

Lecture 59 - Mesh Analysis using Voltage Controlled Sources |

Lecture 60 - Nodal Analysis vs Mesh Analysis |

**Circuit Theorems** |

Lecture 61 - Superposition Theorem |

Lecture 62 - Pushing a Voltage Source through a Node |

Lecture 63 - Splitting a Current Source |

Lecture 64 - Substitution Theorem: Current Source |

Lecture 65 - Substitution Theorem: Voltage Source |

Lecture 66 - Substituting a Voltage or Current Source with a Resistor |

**More Circuit Theorems** |

Lecture 67 - Extensions to Superposition and Substitution Theorem |

Lecture 68 - Thevenin's Theorem |

Lecture 69 - Worked Out Example: Thevenin's Theorem |

Lecture 70 - Norton's Theorem |

Lecture 71 - Worked Out Example: Norton's Theorem |

Lecture 72 - Maximum Power Transfer Theorem |

**Two Port Parameters** |

Lecture 73 - Preliminaries |

Lecture 74 - Two Port Parameters |

Lecture 75 - Y Parameters |

Lecture 76 - Y Parameters: Examples |

Lecture 77 - Z Parameters |

Lecture 78 - Z Parameters: Examples |

Lecture 79 - H Parameters |

Lecture 80 - H Parameters: Examples |

Lecture 81 - G Parameters |

Lecture 82 - G Parameters: Examples |

Lecture 83 - Calculations with a Two-port Element |

Lecture 84 - Calculations with a Two-port Element (cont.) |

Lecture 85 - Degenerate Cases |

Lecture 86 - Relationship between Different Two-port Parameters |

Lecture 87 - Equivalent Circuit Representation for Two Ports |

**Reciprocity in Resistive Networks** |

Lecture 88 - Reciprocity |

Lecture 89 - Proof of Reciprocity of Resistive Two Ports |

Lecture 90 - Proof for 4-Terminal Two Ports |

Lecture 91 - Reciprocity in terms of Different Two Port Parameters |

Lecture 92 - Reciprocity in Circuits Containing Controlled Sources |

Lecture 93 - Examples |

**Op-Amp and Negative Feedback** |

Lecture 94 - Feedback Amplifier using an Op-Amp |

Lecture 95 - Ideal Op-Amp |

Lecture 96 - Negative Feedback around the Op-Amp |

Lecture 97 - Finding Op-Amp Signs for Negative Feedback |

Lecture 98 - Example: Determining Op-Amp Signs for Negative Feedback |

Lecture 99 - Analysis of Circuits with Op-Amps |

**Op-Amps: Example Circuits and Additional Topics** |

Lecture 100 - Inverting Amplifier |

Lecture 101 - Summing Amplifier |

Lecture 102 - Instrumentation Amplifier |

Lecture 103 - Negative Resistance and Miller Effect |

Lecture 104 - Finding Op-Amp Signs for Negative Feedback Circuits with Multiple Op-Amps |

Lecture 105 - Op-Amp Supply Voltages and Saturation |

Lecture 106 - KCL with an Op-Amp and Supply Currents |

**First Order Circuits** |

Lecture 107 - Circuits with Storage Elements (Capacitors and Inductors) |

Lecture 108 - First Order Circuit with Zero Input - Natural Response |

Lecture 109 - First Order Circuit with Zero Input - Example |

Lecture 110 - First Order Circuit with a Constant Input |

Lecture 111 - General Form of the First Order Circuit Response |

Lecture 112 - First Order RC Circuit with a Constant Input - Example |

Lecture 113 - First Order Circuit with Piecewise Constant Input |

Lecture 114 - First Order Circuit with Piecewise Constant Input - Example |

Lecture 115 - First Order Circuit - Response of Arbitrary Circuit Variables |

Lecture 116 - Summary: Computing First Order Circuit Response |

**First Order Circuits with with Discontinuities** |

Lecture 117 - Does a Capacitor Block DC? |

Lecture 118 - Finding the Order of a Circuit |

Lecture 119 - First Order RC Circuits with Discontinuous Capacitor Voltages |

Lecture 120 - Summary: Computing First Order Circuit Response with Discontinuities |

Lecture 121 - First Order RL Circuits |

Lecture 122 - First Order RL Circuits with Discontinuous Inductor Current - Example |

**First Order Circuits with Time-Varying Inputs** |

Lecture 123 - First Order RC Circuit with an Exponential Input |

Lecture 124 - First Order RC Response to its Own Natural Response |

Lecture 125 - First Order RC Response to a Sinusoidal Input |

Lecture 126 - First Order RC Response to a Sinusoidal Input via the Complex Exponential |

Lecture 127 - Summary: Linear Circuit Response to Sinusoidal Input via the Complex Exponential |

**Sinusoidal Steady State Response and Total Response** |

Lecture 128 - Three Methods of Calculating the Sinusoidal Steady State Response |

Lecture 129 - Calculating the Total Response Including Initial Conditions |

Lecture 130 - Why are Sinusoids Used in Measurement? |

**Second Order System** |

Lecture 131 - Second Order System - Natural Response |

Lecture 132 - Second Order System as a Cascade of Two First Order Systems |

Lecture 133 - Second Order System - Natural Response; Critically Damped and Underdamped |

Lecture 134 - General Form of a Second Order System |

Lecture 135 - Numerical Example |

Lecture 136 - Series and Parallel RLC Circuits |

Lecture 137 - Forced Response of a Second Order System |

**Direct Calculation of Steady State Response from Equivalent Components** |

Lecture 138 - Steady State Response Calculation and Phasors |

Lecture 139 - Phasors (cont.) |

**Magnitude and Phasor Plots; Maximum Power Transfer Theorem** |

Lecture 140 - Magnitude and Phasor Plots |

Lecture 141 - Magnitude and Phasor Plots of a Second Order System |

Lecture 142 - Maximum Power Transfer and Conjugate Matching |