2K6 AEI/ECE 305: NETWORK THEORY

Module I (10 hours)
Circuit elements and sources – Dependent and independent sources – Network theorems – Review of Thevenin’s & Norton’s theorem – Superposition theorem – Maximum power transfer theorem – First and second order circuits – Zero state response – Zero input response-Complete Response-Step Response and Impulse response of first and second order circuits
Module II (13 hours)
S-Domain Analysis of Circuits – Review of Laplace transform – Convolution theorem and convolution integral – Transformation of a circuit into S-domain – Transformed equivalent of inductance, capacitance and mutual inductance – Impedance and admittance in the transform domain – Node analysis and mesh analysis of the transformed circuit – Nodal admittance Matrix- mutually coupled circuits – Input and transfer immittance functions – Transfer functions – Impulse response and Transfer function – Poles and Zeros – Pole Zero plots – Sinusoidal steady state from Laplace transform inversion – Frequency response by transform evaluation on j-axis – Frequency response from pole-zero plot by geometrical interpretation
Module III (16 hours)
Two port networks: Two port networks – Characterization in terms of impedance – Admittance – Hybrid and transmission parameters – Inter relationships among parameter sets – Reciprocity Theorem – Interconnection of two port networks – Series, parallel and cascade – Network functions – Pole zero plots and steady response from pole – zero plots Symmetrical two port networks: T and π Equivalent of a two port network – Image impedance – Characteristic impedance and propagation constant of a symmetrical two port network – Properties of a symmetrical two port network Symmetrical Two Port Reactive Filters: Filter fundamentals – Pass and stop bands – Behavior of iterative impedance – Constant – k low pass filter – Constant – k high pass filter-m-derived T and π sections and their applications for infinite attenuation and filter terminations – Band pass and band elimination filters
Module IV (13 hours)
Synthesis: Positive real functions – Driving point functions – Brune’s positive real functions – Properties of positive real functions – Testing driving point functions – Application of maximum module theorems – Properties of Hurwitz polynomials – Even and odd functions – Strum’s theorem – Driving point synthesis – RC elementary synthesis operations – LC network synthesis – Properties of RC network functions – Foster and Cauer forms of RC and RL networks

Text books
1. Gupta B.R. & Singhal V., Fundamentals of Electrical Networks, Wheeler Pub
2. Van Valkenberg M.E., Introduction to Modern Network Synthesis, Wiley Eastern
3. Van Valkenberg, Network Analysis, Prentice Hall of India
Reference books
1. Desoer C.A. & Kuh E.S., Basic Circuit Theory, McGraw Hill
2. Siskind, Electrical Circuits. McGraw Hill
3. Ryder J.D., Networks, Lines and Fields, Prentice Hall
4. Edminister, Electric Circuits, Schaum’s Outline Series, McGraw Hill
5. Huelsman L.P., Basic Circuit Theory. Prentice Hall of India