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 |