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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.

 

Week. No

Topics

1.

  • Preliminaries; Current and voltage; Electrical elements and circuits; Kirchhoff\'s laws
  • Basic elements: Voltage and current sources, R, L, C, M; Linearity of elements
  • Assignment: Week 1(Preliminaries, basic elements)

2.

  • Elements in series and parallel
  • Controlled Sources
  • Assignment: Week 2(Series/parallel elements,controlled sources)

3.

  • Power and Energy in Circuits
  • Circuit Analysis Methods
  • Assignment: Week 3(Power and energy, circuit analysis)

4.

  • Nodal analysis
  • Extending nodal analysis with different sources
  • Assignment: Week 4(Nodal analysis)

5.

  • Mesh analysis
  • Circuit Theorems
  • Assignment: Week 5(Mesh analysis,circuit theorems)
  • More circuit theorems

6.

  • Two port parameters
  • Assignment: Week 6(Circuit theorems, two port parameters)
  • Two port parameters continued

7.

  • Reciprocity in resistive networks
  • Assignment: Week 7(Two port parameters, reciprocity)

8.

  • Opamp and negative feedback
  • Opamps cont\\\'d: Example circuits and additional topics
  • Assignment: Week 8(Opamp and negative feedback)

9.

  • First Order Circuits
  • First Order Circuits cont'd
  • First order circuits with time-varying inputs

10.

  • Sinusoidal steady state response and total response

11.

  • Second order system-Natural response
  • Second order system-Cont'd
  • Direct calculation of steady state response from equivalent components

12.

  • Magnitude and Phase plots; Maximum power transfer theorem
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