《GENERAL CIRCUIT THEORY》

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Ⅰ.INTRODUCTORY1

1.General1

2.Two-terminal Impedances2

3.Harmonically Varying Quantities4

4.n Terminal Networks7

5.Mesh Equations10

6.Node Equations13

7.Notation for Immitances14

8.Power14

9.Classical Electric Circuit Elements17

10.Passive Elements and the Linear Amplifier22

11.Mechanical Elements23

12.Other Circuit Elements25

13.Transducers25

Ⅱ.SOME GENERAL NETWORK THEOREMS28

14.Introduction28

15.Superposition Theorem28

16.Tellegen's Theorem30

17.Reciprocity31

18.Proof of the Reciprocity Theorem for Classical Electric Networks32

19.Non-reciprocal Networks using Electromechanical Transducers33

20.The Ideal Gyrator36

21.Thevenin's Theorem38

22.Consequences of Passivity40

Ⅲ.LINEAR PASSIVE FOUR-TERMINAL NETWORKS IN THE STEADY STATE43

23.General43

24.The Impedance Set45

25.The Admittance Set46

26.Input-output Relations and their Inverse46

27.The G Relations and their Inverse49

28.The Matrix Notation49

29.The Interconnection of Networks51

30.Cascade Connection54

31.Series-Series etc.55

32.Network connected to a Load55

33.Image Parameter Method of Specifying Net works57

34.Relations between the A,B,C,D Parameters and the Image Parameters59

35.Impedance seen looking into a Network ter-minated in ZL in terms of Image Parameters62

36.Interpretation of Image Transfer Constant63

37.The Maximum Power Theorem and Matching67

38.Reflection and Insertion Losses71

39.Formula for Insertion Loss in terms of Image Parameters74

40.Problem(iii)76

41.Special Four-terminal Structures79

Ⅳ.NETWORKS NOT IN THE STEADY STATE84

42.The Fourier Integral84

43.The Response of a Circuit to an Arbitrary Applied Voltage88

44.Heaviside and Dirac Functions89

45.Properties of Fourier Transforms94

46.Complex Frequency Plane98

47.Properties of Generalized Immittance Functions100

48.Potential Analogy106

49.Properties of Driving-point Immittances of Linear Passive Networks109

50.Properties of Transfer Immittances of Linear Passive Networks113

51.Properties of Active Impedances116

52.Properties of Voltage Transfer Ratios,Image Impedances,and Image Transfer Constants117

53.Some illustrative Examples of Y(p)117

54.Bode's Theorem120

55.Non-minimum Phase Shift Networks125

56.Phase-area Theorem128

Ⅴ.SOME EXTENSIONS OF LINEAR CIRCUIT THEORY130

57.Introduction130

58.Linearization of the Problem131

59.Power Series Approximation134

60.Switch Methods135

61.Classes of Operations available with Ideal Switches137

REFERENCES141

INDEX143