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September 25, 2023

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Description

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 Curriculum

    • 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 Two-port Element Unlimited
    • Lecture 84 – Calculations with a Two-port Element (cont.) Unlimited
    • Lecture 85 – Degenerate Cases Unlimited
    • Lecture 86 – Relationship between Different Two-port 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 4-Terminal 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 Op-Amp Unlimited
    • Lecture 95 – Ideal Op-Amp Unlimited
    • Lecture 96 – Negative Feedback around the Op-Amp Unlimited
    • Lecture 97 – Finding Op-Amp Signs for Negative Feedback Unlimited
    • Lecture 98 – Example: Determining Op-Amp Signs for Negative Feedback Unlimited
    • Lecture 99 – Analysis of Circuits with Op-Amps 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 Op-Amp Signs for Negative Feedback Circuits with Multiple Op-Amps Unlimited
    • Lecture 105 – Op-Amp Supply Voltages and Saturation Unlimited
    • Lecture 106 – KCL with an Op-Amp 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

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