VFSTR UNIVERSITY II Year B.Tech. ECM I - Semester L 3 T 1 P To - 4 C 4 EC217 NETWORK THEORY Course Description &Objectives: The course covers the concept of circuit elements, lumped circuits, circuit laws and to analyse simple DC circuits with the help of circuit reduction theorems like Thevenin and Norton equivalents theorems and also to study the transient response of series and parallel A.C. circuits and also to learn the concepts of concepts of Two-port Network theory. Course Outcomes: Upon successful completion of this course, students should be able to: a. Use network techniques, like node analysis and loop analysis, to write equations for largelinear circuits. b. Analyze transient response of first and second order circuits. c. Apply Thevenin and Norton theorems to analyze and design for maximum power transfer. d. Explain the concept of steady state and apply phasor analysis to AC circuits in sinusoidal steady state. e. Analyze RLC circuits and observe the frequency response of circuits containing inductors and capacitors. f. Apply the Laplace transform to linear circuits and systems. g. Analyze simple two-port circuit. h. Analyze circuits using graph theory. UNIT I- Introduction of Circuit Elements : Ideal, Practical and dependent sources and their V-I characteristics,Source transformation, Voltage and Current division; V-I characteristics of Passive elements and their series / parallel combination; Energy stored in Inductors and Capacitors, Kirchhoff’s Voltage law and Kirchhoff’s Current law; Mesh and Nodal analysis,Star and delta conversions. UNIT II-Sinusoidal Steady State Analysis & Resonance : Instantaneous, Peak, Average and RMS values ofperiodic waveforms; Crest Electronics & Computer Engineering 49 VFSTR UNIVERSITY factor, Form factor; j notation and concept of pharos. Response of R, L, C series and parallel combination circuits to sinusoidal excitation, calculation of active and reactive powers.Resonance: Series and parallel resonance circuits, concept of band width and Q factor. UNIT III - Network Transient Analysis : Transient response of R-L, R-C, R-L-C circuits (Series and parallel combinations) for D.C and sinusoidal excitations – initial conditions – time domain and Laplace transform methods of solutions. UNIT IV - Network Theorems : Superposition theorem, Thevenin’s and Norton’s theorems , Reciprocity,Compensation, Maximum power transfer theorems, Millman’s theorem, Application of theorems to DC and AC circuits. UNIT - V Two port Network Parameters & Graph Theory: Definitions : Introduction to Two port networks, Open circuit impedance, Short circuit admittance (Y),Transmission, Inverse transmission, Hybrid and inverse hybrid parameters, Relation between parameter sets, Interconnection of two port networks. – Graph – Tree, Basic Tie-set and Basic cut set matrices for planar networks –Loop and Nodal methods of analysis of Networks with independent and dependent voltage and current sources - Duality & Dual networks. TEXT BOOKS : 1. William H. Hayt, Jack E. Kemmerly and Steven M. Durbin, “Engineering Circuit Analysis”, 6th ed.,Tata McGraw-Hill, 2007. 2. A Sudhakar and Shyammohan S Palli, “Circuits & Networks: Analysis and Synthesis”, 3rd ed., Tata McGraw-Hill , 2007. REFERENCE BOOKS : 1. Syed A. Nasar, “Electric Circuits”, Tata McGraw-Hill, Schaum’s Series, 1988. 2. Franklin F.Kuo, “Network Analysis and Synthesis”, 2nd ed., John Wiley & Sons, 2003 3. MahmoodNahvi and Joseph Edminister, “Electric Circuits”,4th ed., Schaum’s Outline series, Tata McGraw-Hill, 2004 50 Electronics & Computer Engineering