(SEM III) THEORY EXAMINATION 2017-18 NETWORK ANALYSIS AND SYNTHESIS

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.