EE 204	Circuit Theory	3-1-0-8
Syllabus: Basic Concepts: Charge and Energy, Relationship of Field and Circuit Concepts, Capacitance, Inductance and Resistance Parameters, Directions for Current and Voltage, Active Element conventions, Dot Convention for Coupled Circuits, Topological Description of Networks. Network Equations: Number of Network Equations, Source Transformations, Loop and Node Variable Analysis, Duality, State Variable Analysis. Differential Equations and Initial Conditions in Networks: General and Particular Solutions, Time Constants, The Integrating Factor, Initial Conditions in Elements, second order Equations, Networks Excited by External Energy Sources. Laplace Transformation: Basic Theorems, Solution of Problems with the Laplace Transformation, Partial Fraction Expansion, Heaviside's Expansion Theorem. Impedance Functions and Network Theorems: The Concept of Complex Frequency, Transform Impedance and Transform Circuits, Series and Parallel Combinations of Elements, Superposition and Reciprocity, Thevenin's Theorem and Norton's Theorem. Network Functions; Poles and Zeros: One-port and Two-port Network Functions, Pole and Zero Locations for Driving-Point Functions, Time-domain Behaviour, Stability of Active Networks. Two-Port Parameters: Relationship of Two-Port Variables, Short-Circuit Admittance, Open-Circuit Impedance, Transmission and Hybrid Parameters, Parallel Connection of Two-Port Networks. Sinusoidal Steady-State Analysis: Sinusoidal Steady State, Phasors and Phasor Diagrams, Magnitude and Phase Plots, Complex Loci, Bode Diagrams, Nyquist Criterion. Input Power, Power Transfer, and Insertion Loss: Energy and Power, Tellegen's Theorem. Resonance: Series resonance, Parallel resonance, Quality Factor, Pole-Zero Configuration of Resonance Circuits. Passive Network Synthesis: Positive Real Function, Basic Synthesis Procedure, L-C Immittance Functions, Foster Form I, Foster Form II, First Cauer Form, II Cauer Form, RC impedance Functions, Cauer Forms of RC Networks, Cauer Forms of RL Impedance and RC Admittance. Texts [1] M. E. V. Valkenburg, Network Analysis, 3rd edition. Pearson, 2015. [2] F. F. Kuo, Network Analysis and Synthesis, 2nd edition. Wiley India, 2006. References [1] K. S. S. Kumar, Electric Circuits and Networks, 1st edition. Pearson, 2010. [2] R. F. Ziemer, W. H. Tranter, and D. R. Fannin, Signals and Systems - Continuous and Discrete, 4th edition. Pearson, 2014.