(SEM IV) THEORY EXAMINATION 2024-25 NETWORKS ANALYSIS & SYNTHESIS

This document contains the complete B.Tech (Semester IV) Theory Examination 2024–25 question paper for Networks Analysis & Synthesis (BEE403). The paper spans three printed pages, carries 70 marks, and evaluates a student’s understanding of network topology, incidence & cut-set matrices, circuit theorems, transient analysis, Laplace-transform-based solutions, filters, z-parameters, two-port parameters, Hurwitz stability, and Cauer network realization.
 

Section A – Short Conceptual Questions (14 Marks)

Section A contains seven 2-mark questions, covering core fundamentals of network theory:

Definition of link and co-tree (Page 1)

Reciprocity theorem

Difference between natural response and forced response

Condition for maximum power transfer

Compensation theorem

Properties of RC driving point functions

Difference between active and passive filters

These questions test the student’s clarity on basic principles of circuit analysis and network synthesis.
 

Section B – Analytical & Medium-Level Questions (21 Marks)

Students attempt any three out of five 7-mark questions. Topics include:

Topology Matrices

Write the incidence matrix and cut-set matrix for the given network (triangle network shown on Page 1).

Superposition Theorem

Find V₀ using superposition for the circuit containing sinusoidal voltage sources, capacitor (0.2 F), and inductor (1 H).

RC Transient Circuit

For a 100 V step applied at t = 0 to an RC series circuit (R = 5 MΩ, C = 20 μF), find:

Current i(t)

Voltage across R and C

Z-parameters

Find Z-parameters of the two-port network shown with impedances j40 and –j60 (Page 1).

Constant-k Low-Pass Filter

Design a 2000 Hz constant-k low-pass filter with characteristic impedance of 200 Ω and draw both T and π sections.

These questions evaluate problem-solving skills, transient response computation, and filter design.
 

Section C – Long & Advanced Questions (35 Marks)

Q3 – Cut-set Matrix / Loop Current Method

Obtain fundamental cut-set matrix for the given network and write KCL equations

OR solve the network using graph theory loop method (Page 2)

Q4 – Thevenin Equivalent / Maximum Power Transfer

Find Thevenin’s equivalent across terminals a–b for the controlled-source circuit

OR determine load impedance (ZL) for maximum power transfer in the AC network with complex impedances
 

Q5 – Laplace Transform Based Transients

For the switching RC/RL circuit, find i(t) using Laplace transform

OR find the transient current of the RLC series circuit (20 Ω, 0.05 H, 20 μF) supplied by 100 V (Page 3)

Q6 – Two-Port Network Parameters

Find ABCD (Transmission) parameters of the network and prove AD – BC = 1

OR determine Y-parameters of the given resistive two-port network

Q7 – Stability & Network Synthesis

Test whether the polynomial

• F(s)=2s4+6s3+11s2+10s+5F(s)=2s^4+6s^3+11s^2+10s+5F(s)=2s4+6s3+11s2+10s+5

is Hurwitz

OR find Cauer Form–I and Cauer Form–II of:

• Z(s)=s(s2+3)(s2+5)(s2+2)(s2+4)Z(s) = \frac{s(s^2+3)(s^2+5)}{(s^2+2)(s^2+4)}Z(s)=(s2+2)(s2+4)s(s2+3)(s2+5)​

These problems test expertise in network functions, realizability, stability criteria, and two-port analysis.
 

Summary

The Networks Analysis & Synthesis (BEE403) exam paper comprehensively covers:

Graph theory: incidence, tie-set & cut-set matrices

KVL, KCL, loop & nodal analysis

Circuit theorems: Thevenin, superposition, maximum power transfer

Transient analysis in RLC circuits using Laplace transforms

Two-port network parameters (Z, Y, ABCD)

Filter design (constant-k low-pass)

Stability using Hurwitz criterion

Foster & Cauer RL/RC network realization

Natural vs forced response

Active vs passive filters

This paper is an essential academic resource for understanding both analysis and synthesis aspects of electrical networks.