VFSTR University II Year B.Tech. EEE I - Semester L T 4 - P To - 4 C 4 EE211 NETWORK THEORY-II Course Description & Objectives: Through this course the students will learn, advanced concepts in Circuit analysis which are applicable in solving unusual electric and electronic circuits. Course Outcomes: l Apply Laplace and Fourier transforms to analyze electrical networks l Determine steady state and transient responses. l Determine network functions and two-port parameters. l Design k and m filters. l Explain graph theory related to network analysis. UNIT I - Network Topology : Definitions-graph, planar and non-planar, connected and oriented graph, sub graph, path, tree & tree branches, co-tree and links, formation of fundamental tie-set and cut-set matrices. Duality and dual networks. UNIT II - Two port networks & Coupled Circuits: Two port networks : Open circuit (impedance), short circuit (admittance), transmission (ABCD) and inverse transmission, hybrid and inverse hybrid parameters, interrelation between them. inter connection of 2-port networks. Coupled Circuits: Concept of mutual coupling-Energy considerationsCalculation of equivalent inductance in complex coupled circuit-Coupled Impedance-Linear transformer-Ideal transformer considerations. UNIT III - Transients : Initial value and final value theorems in Laplace Transforms; Response of simple R - L, R - C and R - L - C series and parallel circuits subjected to dc and sinusoidal excitations using differential equation approach and Laplace Transform method with initial conditions; time constant of R - L, R - C, series and parallel R – L - C circuits. Response of RL, RC, RLC circuits for impulse and pulse excitations using Laplace Transform method. Convolution integral - applications. Electrical & Electronics Engineering 37 VFSTR University UNIT IV - Fourier Series and Fourier Transform Representation : Introduction, Trigonometric form of Fourier series, Exponential form of Fourier series, Wave symmetry, Fourier integrals and transforms, Fourier transform of a periodic function , Properties of Fourier Transform, Parseval’s theorem , Fourier transform of some common signals, Fourier transform relationship with LaplaceTransform. Applications of fourier series and fourier transform representation-Introduction, Effective value and average values of non sinusoidal periodic waves, currents, Power Factor, Effects of harmonics, Application in Circuit Analysis, Circuit Analysis using Fourier Series. UNIT V - Filters and Attenuators & Network Synthesis: Filters and Attenuators: Classical filters-Classification-Filter specificationsLowpass, Highpass, Bandpass, Bandreject, and all pass filters-types in m derived filters-Attenuators-L,T,ð, Bridged types of Attenuators-Problems Network Synthesis: Concept of Synthesis-Positive Real Functions-Frequency response-Synthesis of reactive networks by Foster and Cauer methodsProblems TEXT BOOKS: 1. F.F.Kuo, “Network analysis & Synthesis”2nd ed., John Willy, 2005. 2. A.Chakrabarti, “Circuit Theory Analysis & Synthesis, 4th ed., Dhanpat Rai & co, 2005 REFERENCE BOOKS: 1. W.H.Hayt and J.E.Kimmerly & Steven.M.Durbin “Engineering circuit analysis” 6th ed., Tata Mc Graw Hill, 2009. 2. Vanvalkenberg, “Network analysis”, 3rd ed.,Prentice Hall of India, 2009. 3. David K. Cheng, “Analysis of Linear systems” 1st ed., Narosa Pub, 2002. 4. Joseph Edminister & Mahmood Nahvi, “Electric circuits”,3rd & 4th ed., Schaum’s, Tata McGraw Hill, 2009. 38 Electrical & Electronics Engineering