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.
