(SEM III) THEORY EXAMINATION 2020-21 NETWORK ANALYSIS AND SYNTHESIS

This document is the B.Tech Semester III Theory Examination (2020–2021) question paper for the subject Network Analysis and Synthesis (KEC303) under AKTU (Dr. A.P.J. Abdul Kalam Technical University). The exam is of 3 hours duration, carries 100 marks, and contains three structured sections: Section A, Section B, and Section C.

All three pages of the uploaded document clearly display numerical problems, network diagrams, Fourier/Laplace transform questions, and two-port network parameter questions.

SECTION A — Short Answer Questions (10 × 2 = 20 Marks)

As seen on Page 1, Section A contains ten brief questions, each for 2 marks, testing fundamental concepts of electrical networks.

Topics include:

Definition of Tree, Cotree, Twig, and Link

Current calculation in a DC circuit (Figure 1 on Page 1)

Superposition theorem explanation

Thevenin voltage calculation for the circuit in Figure 2

Use and drawback of Fourier Transform

Time reversal property of Fourier Transform

Singularity functions

Time shifting property of Laplace Transform

Band-pass filter concept

Impedance parameters of a two-port network

This section checks conceptual and formula-level understanding.
 

SECTION B — Long Questions (Attempt Any 3 × 10 = 30 Marks)

Section B begins on Page 1 and continues to Page 2.
Students must attempt any three questions, each worth 10 marks.

These questions require circuit-solving, derivations, and long explanations.

Topics include:

Node voltage analysis using the circuit in Figure 3

Norton equivalent circuit for the network in Figure 4

Fourier series representation of the waveform shown in Figure 5

Laplace transform of x(t)=eatu(t)∗eatu(t)x(t) = e^{at}u(t) * e^{at}u(t)x(t)=eatu(t)∗eatu(t) using convolution

Transmission parameters of a two-port network in Figure 6

Each question uses clear circuit diagrams shown on the pages.

SECTION C — Detailed/Advanced Questions (Attempt One From Each Group)

Section C begins on Page 2 and spans the entire Page 3.

Section C contains five groups (Q3 to Q7), and for each group, the student must attempt one of the two options (a or b).
Each part carries 10 marks.

The topics include:

Q3 — Mesh Analysis or Basic Network Terminology

Finding branch currents I1,I2,I3I_1, I_2, I_3I1​,I2​,I3​ using mesh analysis for circuit in Figure 7

Describing Junction, Node, Branch, Active/Passive network, Linear/Non-linear network

Q4 — Thevenin or Superposition

Thevenin equivalent circuit of Figure 8

Finding voltage vvv using superposition for circuit in Figure 9

Q5 — Fourier Transform

Fourier transform of Gate (Rectangular) function + magnitude spectrum

Time convolution & time scaling properties with significance

Q6 — Laplace Transform / RLC Response

Laplace transform & ROC for x(t)=t2e−3tu(t)x(t)= t^2 e^{-3t}u(t)x(t)=t2e−3tu(t)

Deriving source-free RLC response: overdamped, underdamped, critically damped

Q7 — Filters / Two-Port Parameters

High-pass filter: derivation of transfer function + curve

Relation between Y & H parameters when Z-parameters are known

These questions evaluate deeper analytical skills, transform techniques, and network synthesis ability.
 

OVERALL SUMMARY OF THE DOCUMENT

The uploaded Network Analysis and Synthesis (KEC303) question paper thoroughly tests:

Electric circuit laws and network terminology

Mesh and node analysis

Thevenin, Norton, Superposition theorems

Fourier series and Fourier transform properties

Laplace transforms and RLC circuit responses

Two-port network parameters (Z, Y, H, Transmission)

Filter design (Band-pass, High-pass)

Convolution and time-scaling

Singularity functions and system properties

The paper uses network diagrams, waveforms, mathematical relations, and conceptual definitions, balanced across all three sections to check both theoretical and numerical competency.