## Electrical Network Analysis and SynthesisCircuit Analysis (A.C. and D.C.) Kirchhoff's law, Loop variable analysis, Node variable analysis, Source transformations, Reference directions for current and voltage, Active element conventions, Dot convention for coupled circuits, Linearity, Superposition, Thevenin's and Norton's, Maximum power for a.c. source and dependent source. Linear Graphs Introductory definitions, The incidence matrix A, The loop matrix B, Relationship between submatrix of A and B. Cut-sets and cut-set matrix, Fundamental cut-sets and fundamental tie-sets, Planar graphs, A and B matrices, Loop, Node, Node pair equations, Duality. Laplace Transforms Properties of Laplace transforms, Basic theorems, Laplace transform of gate function, Impulse function and periodic functions, Convolution integral, Inverse Laplace transform, Application of Laplace transforms to solution of network problems. Transient and Frequency Analysis Transient response of R-L, R-C, R-L-C circuits (series combinations only) for d.c. and sinusoidal excitations - Initial conditions, Solution using differential equation approach and Laplace transform methods of solutions, Transfer function, Concept of poles and zeros, Concept of frequency response of a system. Two Port Networks Concept of two port networks, Driving point and transfer functions, Open circuit and short circuit parameters, Transmission and inverse transmission parameters, Hybrid parameters, Inter-relationship of different parameters, Interconnection of two port networks, T and pi representation, Terminated two port networks. Fundamentals of Network Synthesis Realizability concept, Hurwitz property, Positive realness, Properties of positive real functions, Testing positive real functions, Synthesis of R-L, R-C and L-C driving point functions - Foster and Cauer forms. |

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### Contents

Table of Contents | 1 |

Examples with Solutions 1 103 | 103 |

Review Questions 1 151 | 151 |

Chapter2 Network Theorems 21 to 2100 | 2-1 |

Chapter3 Linear Graphs 3 1 to 3 | 2-98 |

Examples with Solutions 3 | 3-41 |

Review Questions 3 96 | 3-96 |

Chapter 5 Laplace Transform and Applications 5 1 to 5 106 | 5-1 |

Chapter7 Two Port Networks 7 1 to 7152 | 7-1 |

Examples with Solutions 7 88 | 7-88 |

Review Questions 7 148 | 7-148 |

As per Revised Syllabus of Mumbai University 2007 Course | 8-49 |

Examples with Solutions 8 60 | 8-60 |

vi | 8-81 |

Review Questions 8111 | 8-111 |

Basic of Electronic Circuits Bakshi Godse | P-1 |

### Common terms and phrases

A/WV admittance alternating quantity analysis Applying KVL branch currents Calculate capacitor Cauer circuit shown closed path coefficients coil connected Consider continued fraction current flowing current source current through inductor cutset dependent source di(t differential equation dual network elements equivalent circuit Example f-cutset f-tieset frequency given network Hence Hurwitz incidence matrix induced e.m.f. inductor initial conditions input interms Key Point KVL to loop load loop currents mutual inductance negative network shown node voltages Norton's Theorem obtained Ohm's law open circuit oriented graph parallel combination partial fraction phase phasor polarities pole-zero plot poles and zeros polynomial port network ramp resistance resistor s-plane short circuit shown in Fig Solution Substituting value supernode switch theorem Thevenin's equivalent Thevenin's theorem tieset transmission parameters vc(t voltage across capacitor voltage source waveform z-parameters