Subject Code: 03EC0302 Subject Name: Circuits and Networks B. Tech. Year II (Semester III) Objective: After completion of this course, student will be able to: 1. To introduce electric circuits and its analysis 2. To impart knowledge on solving circuits using network theorems 3. To introduce the phenomenon of resonance in coupled circuits. 4. To apply knowledge of circuits & obtain the transient response of circuits. 5. To understand & draw Phasor diagrams and analysis of three phase circuits Credits Earned: 4 Credits Course Outcomes: After completion of this course, student will be able to: 1. Apply knowledge of mathematics, science, and engineering to the analysis and design of electrical circuits. 2. Identify, formulate, and solve engineering problems in the area circuits and systems. 3. Design and analyze RLC circuit using Laplace transform. 4. Compute Initial condition of voltage or current in first, second order RL, RC and RLC circuits. Pre-requisite of course: - Teaching and Examination Scheme Teaching Scheme (Hours) Credits Theory Marks Tutorial/Practical Marks Total Marks Theory Tutorial Practical ESE IA CSE Viva Term Work (TW) 4 0 2 5 50 30 20 25 25 150
Contents: Credits: 04 Lecture Hours Module 1: Basic circuits analysis Ohm s Law, Kirchoff s laws, DC and AC Circuits, Resistors in series and parallel circuits, Mesh current and node voltage method of analysis for D.C and A.C. Circuits, Phasor Diagram, Power, Power Factor and Energy. Module 2: Network reduction and network theorems for DC and AC circuits Superposition theorem, maximum power transfer theorem, reciprocity theorem, Millman s theorem, substitution theorem, compensation theorem, Tellegen s theorem, all theorems using examples of DC & AC networks. 10 Module 3: Resonance and coupled circuits Series and parallel resonance, frequency response, Quality factor and Bandwidth, Self and mutual inductance, Coefficient of coupling, Tuned circuits, Single tuned circuits. Module 4: Time domain response of RL, RC, LC & RLC circuits: Time domain response of First order RL, RC, LC, RLC circuits: Mathematical preliminaries Source free response DC response of first & Second order circuits Superposition and linearity Response Classifications First order RC Op Amp Circuits. 8 Module 5: Two port parameters Relationship of two port variables, admittance, impedance, transmission and hybrid parameters, relationship between two port parameters, parallel connection of two port networks. 8
Module 6: Network Functions Concepts of complex frequency, Transform impedance, Networks function of one port and two port network, concepts of poles and zeros, property of driving point and transfer function. Module : Introduction to Network Topology & Graph Theory Linear Oriented Graphs (Connected Graph, Subgraphs and Some Special Subgraphs) - The Incidence Matrix of a Linear Oriented Graph - Kirchhoff's Laws in Incidence Matrix Formulation - Nodal Analysis of Networks The Circuit Matrix of a Linear Oriented Graph- Kirchhoff's Laws in Fundamental Circuit Matrix Formulation - Loop Analysis of Electrical Networks ( Loop Analysis of Networks Containing Ideal Dependent Sources - Planar Graphs and Mesh Analysis Duality) - The Cut - set Matrix of a Linear Oriented Graph ( Cut - sets -The All cut - set matrix Q a - Orthogonality relation between Cut - set matrix and Circuit matrix - The Fundamental Cut-set Matrix Qf - Relation between Qf, A and Bf) - Kirchhoff's Laws in Fundamental Cut - set formulation - Tie set - Tie set Matrix (F - loop matrix) - Tie set schedule. 5 Module 8:Transient behavior and initial conditions Behavior of circuit elements under switching condition and their Representation, evaluation of initial and final conditions in RL, RC and RLC circuits for AC and DC excitations. Module 9: Laplace Transform Analysis and Circuit Applications Notions of Impedance and Admittance Manipulation of Impedance and Admittance - Notions of Transfer Function - Equivalent circuits for inductors and capacitors Nodal and Loop analysis in the s - domain Switching in RLC circuits - Switched capacitor circuits and conservation of charge. 6 Module 10: Analysing three phase circuits Three phase balanced / unbalanced voltage sources analysis of three phase 3-wire and 4- wire circuits with star and delta connected loads, balanced & un balanced phasor diagram of voltages and currents power and power factor measurements in three phase circuits.
Total Hours 2 Suggested Text book/main Reference: 1) William H. Hayt Jr, Jack E. Kemmerly and Steven M. Durbin, Engineering Circuits Analysis, Tata McGraw Hill publishers, 6th edition, New Delhi, (2002). 2) Sudhakar A and Shyam Mohan SP, Circuits and Networks- Analysis and Synthesis, McGraw Hill Education, (2015). 3) Paranjothi SR, Electric Circuits Analysis, New Age International Ltd., New Delhi, (1996). 4) Joseph A. Edminister, Mahmood Nahri, Electric circuits, Schaum s series, Tata McGraw-Hill, New Delhi (2001). 5) Chakrabati A, Circuits Theory (Analysis and synthesis), Dhanpath Rai & Sons, New Delhi, (1999). 6) Charles K. Alexander, Mathew N.O. Sadik, Fundamentals of Electric Circuits, Second Edition, McGraw Hill, (2003). ) nptel.ac.in/courses/11106108/6 8) nptel.ac.in/courses/10810605/3 Suggested Theory distribution: The suggested theory distribution as per Bloom s taxonomy is as per follows. This distribution serves as guidelines for teachers and students to achieve effective teaching-learning process Distribution of Theory for course delivery and evaluation Remember Understand Apply Analyze Evaluate Create 30% 30% 15% 5% 5% 15%
Suggested List of Experiments: Students are required to complete 10 experiments. 1. Verification of Kirchhoff s laws 2. Verification of Superposition theorem 3. Verification of Thevenin s Theorem 4. Verification of Norton s Theorem 5. Verification of Maximum Power Transfer theorem 6. Verification of Reciprocity Theorem. To measure and calculate Z, Y, H, ABCD - parameters for a given two-port system. 8. Transient analysis of Series RL, RC circuits 9. Circuit Transients by Digital simulation 10. RLC Series Resonance by Digital simulation Advance Experiment: 1. Design and simulate 1D FDTD simulation code with perfectly matched layer. 2. Identify the design of the antenna for your mobile phone. Design and simulate the same antenna for fulfilling the communication task of mobile communication. Open Ended Problem: 1. Design and simulate 2D FDTD simulation code with perfectly matched layer and verify it with any professional software.