This document contains the complete B.Tech (Semester III) Theory Examination 2017–18 question paper for the subject Network Analysis and Synthesis (REE-305). The exam spans three pages, carries 70 marks, and evaluates a student’s understanding of electrical network theorems, graph theory, network functions, filters, driving-point impedance, Hurwitz polynomials, and AC/DC circuit analysis.
Section A – Short Conceptual Questions (14 Marks)
Section A contains seven brief questions, each testing essential definitions and properties in network theory. Topics include:
Properties of a complete incidence matrix
Hybrid parameters written in terms of Z-parameters
Properties of R-L driving point impedance functions
Definitions of tree, co-tree, twig, link, cut-set, and tie-set
Properties of R–L and R–C driving-point impedance networks
Thevenin’s theorem with explanation
Concept of complex frequency
Determining Z-parameters for a given network
These questions check the student’s foundational understanding of network elements, impedance functions, and topology.
Section B – Analytical, Graph-Theoretic & Parameter-Based Problems (21 Marks)
Students must attempt any three out of five problems. These involve graph construction, Thevenin reduction, and polynomial testing:
Drawing a graph from a reduced incidence matrix and forming the cut-set matrix
Drawing the directed graph of a given network and identifying the total number of possible trees
Finding the current through a 50-Ω resistor using Thevenin’s theorem
Testing whether a given polynomial is Hurwitz
Determining Y-parameters and Z-parameters of a specific network
These questions assess the student’s skills in network reduction, graph theory, stability (Hurwitz), and two-port network parameter evaluation.
Section C – Long, Advanced Problems (5 Questions × 7 Marks)
Students must attempt one part from each question, covering advanced circuit synthesis, active filters, network functions, transient response, and AC theorems.
1. Impedance Functions & Filter Concepts
Properties of R-L driving-point impedance functions and Foster-form realization of
- Z(s)=(s+1)(s+3)(s+2)(s+4)Z(s)=\frac{(s+1)(s+3)}{(s+2)(s+4)}Z(s)=(s+2)(s+4)(s+1)(s+3)
Advantages of active filters over passive filters
2. Network Functions & Filter Design
Drawing pole-zero diagram of a given function and obtaining time response
Designing constant-K low-pass T-section and π-section filters for 600 Ω load at 3 kHz cutoff
3. Node Analysis & Topological Terms
Finding branch currents using node analysis
Explaining topology terms: tree, co-tree, incidence matrix, oriented graph, twig & link
4. Signal Sketching & Transient Analysis
Sketching time-domain signals involving unit step functions
With v(t)=2u(t)v(t)=2u(t)v(t)=2u(t) and initial inductor current, sketching i(t)i(t)i(t) using transient response
5. AC Maximum Power Transfer & Superposition
Stating and proving maximum power transfer theorem for AC circuits
Finding capacitor current using superposition theorem in a given network
These questions examine deep analytical reasoning, network synthesis skills, transient analysis, and AC circuit theorem application.
Summary
The Network Analysis and Synthesis (REE-305) exam paper tests the following major areas:
Graph theory & topology (incidence matrix, tree, co-tree, cut-sets, tie-sets)
Thevenin, superposition & maximum power transfer theorems
Two-port network parameters (Z, Y, hybrid)
Driving-point functions & network synthesis (Foster form)
Hurwitz stability testing
Filters (constant-K, low-pass, T & π sections)
Transient response & complex frequency
Signal sketching & basic system functions
It is a comprehensive academic resource for students studying electrical circuits, network functions, and system analysis.
