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# Basic Electrical Circuits

### Overview

Instructor: Dr. Nagendra Krishnapura, Department of Electrical Engineering, IIT Madras.

The course begins with an introduction to the course; Current and Voltage; Kirchhoff\'s Current and Voltage laws. Electrical circuit elements: Voltage and current sources; R, C, L; Controlled sources; Determining the characteristics of a two-terminal element;Nodal analysis of a network with conductances and current sources, Circuit analysis; Number of KCL and KVL equations in a circuit; Nodal analysis, Nodal analysis with voltage sources and controlled sources; Brief introduction; Sinusoidal steady state response of RC and RLC circuits.

### Syllabus

Mod-01 Lec-01 Introduction to the course;Current and Voltage;Kirchhoff\'s Current and Voltage laws.
Mod-01 Lec -02 Electrical circuit elements: Voltage and current sources; R, C, L;.
Mod-01 Lec-03 Definition of a linear element; Elements in series and parallel;.
Mod-01 Lec-04 Controlled sources; Determining the characteristics of a two terminal element;.
Mod-01 Lec-05 Nodal analysis of a network with conductances and current sources;.
Mod-01 Lec-06 Circuit analysis; Number of KCL and KVL equations in a circuit; Nodal analysis.
Mod-01 Lec-07 Nodal analysis with voltage sources and controlled sources; Brief introduction.
Mod-01 Lec-08 Mesh analysis of a circuit with resistors and voltage sources;.
Mod-01 Lec-09 Choice of nodal versus mesh analysis; Circuit theorems: Pushing a voltage source.
Mod-01 Lec-10 Thevenin and Norton (theorem and) equivalent circuits; Power conservation in a circuit.
Mod-01 Lec-11 Tellegen\'s theorem; Reciprocity theorem.
Mod-01 Lec-12 Compensation Theorem; Two ports.
Mod-01 Lec-13 Two port parameters-y parameters.
Mod-01 Lec-14 Two port parameters(z, h, and g); Reciprocal two ports.
Mod-01 Lec-15 Opamp, ideal opamp circuits, non-inverting and inverting amplifiers;.
Mod-01 Lec-16 RC circuit natural response; First order differential equation.
Mod-01 Lec-17 RC (first-order) circuit, complete response with step inputs; Transient(natural).
Mod-01 Lec-18 Step response of RC circuit with loops of voltage sources and capacitors;.
Mod-01 lec-19 Second order(RLC circuit) natural response; Series and prallel RLC circuits;.
Mod-01 Lec-20 General formulation of second order(RLC circuit) natural response;.
Mod-01 Lec-21 Sinusoidal steady state response of RC and RLC circuits.

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