Basic Electrical Circuits. Instructor: Dr. Nagendra Krishnapura, Department of Electrical Engineering, IIT Madras.
3944 years
142
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 Currilcum

 Lecture 01 – Preliminaries Unlimited
 Lecture 02 – Current Unlimited
 Lecture 03 – Voltage Unlimited
 Lecture 04 – Electrical Elements and Circuits Unlimited
 Lecture 05 – Kirchhoff’s Current Law (KCL) Unlimited
 Lecture 06 – Kirchhoff’s Voltage Law (KVL) Unlimited

 Lecture 07 – Voltage Source Unlimited
 Lecture 08 – Current Source Unlimited
 Lecture 09 – Resistor Unlimited
 Lecture 10 – Capacitor Unlimited
 Lecture 11 – Inductor Unlimited
 Lecture 12 – Mutual Inductor Unlimited
 Lecture 13 – Linearity of Elements Unlimited

 Lecture 14 – Series Connection – Voltage Sources in Series Unlimited
 Lecture 15 – Series Connection of R, L, C Current Source Unlimited
 Lecture 16 – Elements in Parallel Unlimited
 Lecture 17 – Current Source in Series with an Element; Voltage Source in Parallel with an Element Unlimited
 Lecture 18 – Extreme Cases: Open and Short Circuits Unlimited
 Lecture 19 – Summary Unlimited

 Lecture 20 – Voltage Controlled Voltage Source (VCVS) Unlimited
 Lecture 21 – Voltage Controlled Current Source (VCCS) Unlimited
 Lecture 22 – Current Controlled Voltage Source (CCVS) Unlimited
 Lecture 23 – Current Controlled Current Source (CCCS) Unlimited
 Lecture 24 – Realizing a Resistance using VCCS or CCCS Unlimited
 Lecture 25 – Scaling an Element’s Value using Controlled Sources Unlimited
 Lecture 26 – Example Calculation Unlimited

 Lecture 27 – Power and Energy Absorbed by Electrical Elements Unlimited
 Lecture 28 – Power and Energy in a Resistor Unlimited
 Lecture 29 – Power and Energy in a Capacitor Unlimited
 Lecture 30 – Power and Energy in an Inductor Unlimited
 Lecture 31 – Power and Energy in a Voltage Source Unlimited
 Lecture 32 – Power and Energy in a Current Source Unlimited

 Lecture 33 – Goals of Circuit Analysis Unlimited
 Lecture 34 – Number of Independent KCL Equations Unlimited
 Lecture 35 – Number of Independent KVL Equations and Branch Relationships Unlimited
 Lecture 36 – Analysis of Circuits with a Single Independent Source Unlimited
 Lecture 37 – Analysis of Circuits with Multiple Independent Sources using Superposition Unlimited
 Lecture 38 – Superposition: Example Unlimited

 Lecture 39 – What is Nodal Analysis? Unlimited
 Lecture 40 – Setting up Nodal Analysis Equations Unlimited
 Lecture 41 – Structure of the Conductance Matrix Unlimited
 Lecture 42 – How Elements Appear in the Nodal Analysis Formulation Unlimited
 Lecture 43 – Completely Solving the Circuit Starting from Nodal Analysis Unlimited
 Lecture 44 – Nodal Analysis Example Unlimited
 Lecture 45 – Matrix Inversion Basics Unlimited

 Lecture 46 – Nodal Analysis with Independent Voltage Sources Unlimited
 Lecture 47 – Supernode for Nodal Analysis with Independent Voltage Sources Unlimited
 Lecture 48 – Nodal Analysis with VCCS Unlimited
 Lecture 49 – Nodal Analysis with VCVS Unlimited
 Lecture 50 – Nodal Analysis with CCVS Unlimited
 Lecture 51 – Nodal Analysis with CCCS Unlimited
 Lecture 52 – Nodal Analysis Summary Unlimited

 Lecture 53 – Planar Circuits Unlimited
 Lecture 54 – Mesh Currents and their Relationship to Branch Currents Unlimited
 Lecture 55 – Mesh Analysis Unlimited
 Lecture 56 – Mesh Analysis with Independent Current Sources – Supermesh Unlimited
 Lecture 57 – Mesh Analysis with Current Controlled Voltage Sources Unlimited
 Lecture 58 – Mesh Analysis with Current Controlled Current Sources Unlimited
 Lecture 59 – Mesh Analysis using Voltage Controlled Sources Unlimited
 Lecture 60 – Nodal Analysis vs Mesh Analysis Unlimited

 Lecture 61 – Superposition Theorem Unlimited
 Lecture 62 – Pushing a Voltage Source through a Node Unlimited
 Lecture 63 – Splitting a Current Source Unlimited
 Lecture 64 – Substitution Theorem: Current Source Unlimited
 Lecture 65 – Substitution Theorem: Voltage Source Unlimited
 Lecture 66 – Substituting a Voltage or Current Source with a Resistor Unlimited

 Lecture 67 – Extensions to Superposition and Substitution Theorem Unlimited
 Lecture 68 – Thevenin’s Theorem Unlimited
 Lecture 69 – Worked Out Example: Thevenin’s Theorem Unlimited
 Lecture 70 – Norton’s Theorem Unlimited
 Lecture 71 – Worked Out Example: Norton’s Theorem Unlimited
 Lecture 72 – Maximum Power Transfer Theorem Unlimited

 Lecture 73 – Preliminaries Unlimited
 Lecture 74 – Two Port Parameters Unlimited
 Lecture 75 – Y Parameters Unlimited
 Lecture 76 – Y Parameters: Examples Unlimited
 Lecture 77 – Z Parameters Unlimited
 Lecture 78 – Z Parameters: Examples Unlimited
 Lecture 79 – H Parameters Unlimited
 Lecture 80 – H Parameters: Examples Unlimited
 Lecture 81 – G Parameters Unlimited
 Lecture 82 – G Parameters: Examples Unlimited
 Lecture 83 – Calculations with a Twoport Element Unlimited
 Lecture 84 – Calculations with a Twoport Element (cont.) Unlimited
 Lecture 85 – Degenerate Cases Unlimited
 Lecture 86 – Relationship between Different Twoport Parameters Unlimited
 Lecture 87 – Equivalent Circuit Representation for Two Ports Unlimited

 Lecture 88 – Reciprocity Unlimited
 Lecture 89 – Proof of Reciprocity of Resistive Two Ports Unlimited
 Lecture 90 – Proof for 4Terminal Two Ports Unlimited
 Lecture 91 – Reciprocity in terms of Different Two Port Parameters Unlimited
 Lecture 92 – Reciprocity in Circuits Containing Controlled Sources Unlimited
 Lecture 93 – Examples Unlimited

 Lecture 94 – Feedback Amplifier using an OpAmp Unlimited
 Lecture 95 – Ideal OpAmp Unlimited
 Lecture 96 – Negative Feedback around the OpAmp Unlimited
 Lecture 97 – Finding OpAmp Signs for Negative Feedback Unlimited
 Lecture 98 – Example: Determining OpAmp Signs for Negative Feedback Unlimited
 Lecture 99 – Analysis of Circuits with OpAmps Unlimited

 Lecture 100 – Inverting Amplifier Unlimited
 Lecture 101 – Summing Amplifier Unlimited
 Lecture 102 – Instrumentation Amplifier Unlimited
 Lecture 103 – Negative Resistance and Miller Effect Unlimited
 Lecture 104 – Finding OpAmp Signs for Negative Feedback Circuits with Multiple OpAmps Unlimited
 Lecture 105 – OpAmp Supply Voltages and Saturation Unlimited
 Lecture 106 – KCL with an OpAmp and Supply Currents Unlimited

 Lecture 107 – Circuits with Storage Elements (Capacitors and Inductors) Unlimited
 Lecture 108 – First Order Circuit with Zero Input – Natural Response Unlimited
 Lecture 109 – First Order Circuit with Zero Input – Example Unlimited
 Lecture 110 – First Order Circuit with a Constant Input Unlimited
 Lecture 111 – General Form of the First Order Circuit Response Unlimited
 Lecture 112 – First Order RC Circuit with a Constant Input – Example Unlimited
 Lecture 113 – First Order Circuit with Piecewise Constant Input Unlimited
 Lecture 114 – First Order Circuit with Piecewise Constant Input – Example Unlimited
 Lecture 115 – First Order Circuit – Response of Arbitrary Circuit Variables Unlimited
 Lecture 116 – Summary: Computing First Order Circuit Response Unlimited

 Lecture 117 – Does a Capacitor Block DC? Unlimited
 Lecture 118 – Finding the Order of a Circuit Unlimited
 Lecture 119 – First Order RC Circuits with Discontinuous Capacitor Voltages Unlimited
 Lecture 120 – Summary: Computing First Order Circuit Response with Discontinuities Unlimited
 Lecture 121 – First Order RL Circuits Unlimited
 Lecture 122 – First Order RL Circuits with Discontinuous Inductor Current – Example Unlimited

 Lecture 123 – First Order RC Circuit with an Exponential Input Unlimited
 Lecture 124 – First Order RC Response to its Own Natural Response Unlimited
 Lecture 125 – First Order RC Response to a Sinusoidal Input Unlimited
 Lecture 126 – First Order RC Response to a Sinusoidal Input via the Complex Exponential Unlimited
 Lecture 127 – Summary: Linear Circuit Response to Sinusoidal Input via the Complex Exponential Unlimited

 Lecture 128 – Three Methods of Calculating the Sinusoidal Steady State Response Unlimited
 Lecture 129 – Calculating the Total Response Including Initial Conditions Unlimited
 Lecture 130 – Why are Sinusoids Used in Measurement? Unlimited

 Lecture 131 – Second Order System – Natural Response Unlimited
 Lecture 132 – Second Order System as a Cascade of Two First Order Systems Unlimited
 Lecture 133 – Second Order System – Natural Response; Critically Damped and Underdamped Unlimited
 Lecture 134 – General Form of a Second Order System Unlimited
 Lecture 135 – Numerical Example Unlimited
 Lecture 136 – Series and Parallel RLC Circuits Unlimited
 Lecture 137 – Forced Response of a Second Order System Unlimited

 Lecture 138 – Steady State Response Calculation and Phasors Unlimited
 Lecture 139 – Phasors (cont.) Unlimited

 Lecture 140 – Magnitude and Phasor Plots Unlimited
 Lecture 141 – Magnitude and Phasor Plots of a Second Order System Unlimited
 Lecture 142 – Maximum Power Transfer and Conjugate Matching Unlimited