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UNIT-1 Introduction to Electrical Circuits

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1 UNIT-1 Introduction to Electrical Circuits
Network elements classification Electric charge and current Electric energy and potential Resistance parameter , Inductance parameter and Capacitance parameter – series and parallel combination Energy sources: Ideal, Non-ideal, Independent and dependent sources, Kirchchoff’s laws and Source transformation Mesh analysis and Nodal analysis

2 Classification of Network Elements

3 Classification of Network Elements
Network Elements Classification Based on the Property of the Elements Active and Passive Elements Unilateral and Bilateral Elements Lumped and Distributed Elements Based on the Response of the Elements Linear and Nonlinear Element Time invariant and Time Variant

4 Active and Passive Elements

5 Unilateral and Bilateral Elements

6 Lumped and Distributed Elements

7 Linear and Nonlinear Elements

8 Time invariant and Time Variant Elements

9 Electric Charge, Current and Electric Energy and Potential

10 Ohm’s Law The current passing through any element is the potential difference applied across the element.

11 Series and Parallel Circuits
Series Circuits Parallel Circuits Resistance Inductance Capacitance Resistance Inductance Capacitance

12 Ideal and Non ideal sources
Voltage Sources Current Sources

13 Dependant sources Voltage Controlled Sources
Current Controlled Sources

14 Kirchchoff’s Laws Current Law (KCL) Voltage Law (KVL)

15 Source Transformation
General Form Example

16 Mesh and Nodal Analyses
Mesh Analysis Nodal Analysis

17 AC Fundamentals Waveform Related Terms

18 Phase angle, Phasor Representation and Mathematical Representation
Waveform Representation Phasor Representation and Mathematical Mathematical Representation

19 Addition and subtraction of Phasors
Addition of Phasors Subtraction of Phasors

20 RMS Value

21 Average Value

22 Form Factor and Peak Factor

23 Problem on RMS and Average

24 Definitions Diagram (c) Network Topology Branch Node Tree Planar
Non Planar Graphs Links, Twigs No. of Links and Twigs

25 Incidence Matrix

26 Tie Set and Cut Set

27 UNIT-2 Steady State Analysis of A.C Circuits
Response to sinusoidal excitation - pure resistance, pure inductance, pure capacitance Impedance concept and Complex Impedance Phase angle and phasor notation for R-L, R-C, R-L-C Problem solving using mesh and nodal analysis Star-Delta conversion

28 Pure R

29 Pure L

30 Pure C

31 Series RL

32 Impedance Triangle

33 Series RC

34 Series RLC

35 Star Delta Transformation

36 4) Network Theorems Thevenin’s Theorem Norton’s Theorem
Millman’s Theorem Reciprocity Theorem Compensation Theorem Substitution Theorem Superposition Theorem Max Power Transfer Theorem Tellegen’s Theorem

37 1. Thevenin’s Theorem

38 Steps

39 2. Norton’s Theorem

40 Steps

41 3. Super Position Theorem

42 Steps

43 4. Maximum Power Transfer Theorem

44 Steps

45 5. Millman’s Theorem

46 Steps

47 6. Reciprocity Theorem

48 Steps

49 7. Substitution Theorem

50

51 Steps

52 8.Compensation Theorem

53 Explanation

54

55

56 9. Tellegen’s Theorem

57 Steps

58

59 Two Port Networks

60 AC Fundamentals Definitions of terms associated with periodic functions: Time period, Angular velocity and frequency, RMS value, Average value, Form factor and peak factor- Phase angle, Phasor representation, Addition and subtraction of phasors, Mathematical representation of sinusoidal quantities, mathematical representation Principle of Duality with examples.

61 Network Topology Definitions of branch, node, tree, planar, non-planar graph Incidence matrix, basic tie set schedule, basic cut set schedule.

62 UNIIT-2 Steady State Analysis of A.C Circuits
Response to sinusoidal excitation - pure resistance, pure inductance, pure capacitance Impedance concept and Complex Impedance Phase angle and phasor notation for R-L, R-C, R-L-C Problem solving using mesh and nodal analysis Star-Delta conversion

63 3) a) Coupled Circuits Self inductance Mutual inductance
Coefficient of coupling Analysis of coupled circuits Natural current Dot rule of coupled circuits Conductively coupled equivalent circuits

64 3) (b) Resonance Introduction Definition of Q Series resonance
Parallel resonance Condition for maximum impedance current in anti resonance general case resistance present in both branches, anti resonance at all frequencies

65 4) Network Theorems Thevenin’s Theorem Norton’s Theorem
Millman’s Theorem Reciprocity Theorem Compensation Theorem Substitution Theorem Superposition Theorem Max Power Transfer Theorem Tellegen’s Theorem

66 5) Two-port networks Relationship of two port networks Combinations
Z-parameters Y-parameters Transmission line parameters Inverse Transmission line parameters h-parameters Inverse h-parameters Combinations Parallel connection of two port networks Cascading of two port networks series connection of two port networks

67 6) Transients First order differential equations.
Definition of time constants R-L circuit, R-C circuit with DC excitation. Evaluating initial conditions procedure second order differential equations. homogeneous, non homogenous problem solving using R- L-C elements with DC excitation. AC excitation Response as related to s-plane rotation of roots. Solutions using Laplace transform method Problem solving.


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