# InfoCoBuild

## Basic Electrical Circuits

Basic Electrical Circuits. Instructor: Dr. Nagendra Krishnapura, Department of Electrical Engineering, IIT Madras. The course begins with an introduction to basic linear elements used in electrical circuits. Mesh and node analysis for systematic analysis of large circuits will be studied. Fundamental circuit theorems and their use in analysis will be discussed. Two port parameters used for abstracting out the behaviour of complex circuits will be described. The notion of negative feedback, and the opamp as an element for implementing negative feedback circuits will be discussed. Differential equations are introduced as tools for analyzing circuits with memory. Sinusoidal steady state analysis for simple analysis of such circuits will be studied. (from nptel.ac.in)

 Course Introduction

 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

 References Basic Electrical Circuits Instructor: Dr. Nagendra Krishnapura, Department of Electrical Engineering, IIT Madras. The course begins with an introduction to basic linear elements used in electrical circuits.