(SEM-III) THEORY EXAMINATION 2019-20 NETWORK ANALYSIS & SYNTHESIS

This document is the B.Tech Semester–III Theory Examination 2019–20 question paper for NETWORK ANALYSIS & SYNTHESIS (Sub Code: KEC303) under Dr. A.P.J. Abdul Kalam Technical University (AKTU).
The uploaded file contains three pages, clearly divided into SECTION A, SECTION B, and SECTION C.
The exam carries 100 marks, and the duration is 3 hours.

This paper evaluates a student’s understanding of electrical network theory, including frequency response, Laplace transforms, impedance functions, active/passive elements, resonance, Z-parameters, Fourier series, network theorems, and synthesis of networks.

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

(Visible on Page 1)

Section A contains ten 2-mark questions, each testing core definitions, formulas, and conceptual clarity.

Topics include:

Concept of Complex Frequency

Definition of Transfer Function of a network

Properties of R–C driving point impedance function

Laplace transform of x(t)=e−atsin⁡ω0tx(t) = e^{-at} \sin \omega_0 tx(t)=e−atsinω0​t

Finding current in a 100-ohm resistor in the given network (circuit shown in Page 1 figure with 5 Ω, 10 Ω, 2 Ω elements)

Drawing dual circuit for a parallel RLC with current source

Dependent & independent terms in Z-parameters

State Compensation Theorem

Examples of active & passive elements

Frequency response curve of parallel resonance RLC circuit

These questions appear clearly in a table on Page 1.

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

(Shown on Page 2)

Section B includes five long questions, from which students must attempt any three.

Topics include:

Maximum Power Transfer Theorem for AC circuits

Inverse Laplace Transform of

• H(s)=s2+5s−9(s+1)(s2−2s+10)H(s) = \frac{s^2 + 5s - 9}{(s + 1)(s^2 - 2s + 10)}H(s)=(s+1)(s2−2s+10)s2+5s−9​

Circuit response analysis

Application-based AC network calculations

Conceptual reasoning + mathematical derivation

These questions require step-by-step derivation or numerical solving.

SECTION C — Applied & Analytical Questions (10 × 5 = 50 Marks)

(Page 2 & Page 3)

Section C has five main questions (Q3–Q7); each question has two alternatives (a or b).
Students must attempt one from each question number.

Q3 — R–L Circuit / Fourier Series

(Page 2)

(a) Series R–L circuit: find time when VR=VLV_R = V_LVR​=VL​ after voltage is applied at t = 0.

(b) Calculate trigonometric Fourier series coefficients of the given periodic waveform (graph shown on Page 2 from –π to π).

Q4 — Inverse Laplace Transform (Convolution)

(Page 2)

Find the inverse Laplace transform of the given function using Convolution Integral.

Q5 — Fourier Transform

(Page 3)

(a) Fourier transform of the function shown.

(b) Fourier transform of cos⁡ω0t\cos \omega_0 tcosω0​t and sketching its spectrum.

Q6 — Network Parameters (Y-parameters / Symmetric Network)

(Page 3)

(a) Calculate Short Circuit Admittance Parameters (Y-parameters) of the circuit shown on Page 3 (with 1 Ω, 2 Ω, 1 Ω elements).

(b) Prove conditions for a symmetric network: Z11=Z22Z_{11} = Z_{22}Z11​=Z22​, etc.

Q7 — Positive Real Functions / Driving Point Impedance

(Page 3)

(a) Calculate Z(s) for a network with pole–zero locations (figure shown on Page 3) and given Z(0)=3Z(0) = 3Z(0)=3.

(b) Driving point impedance function properties & synthesis.

Each problem requires mathematical reasoning, transform evaluation, or network parameter derivation.

OVERALL SUMMARY OF THE DOCUMENT

The Network Analysis & Synthesis (KEC303) exam paper tests key electrical network concepts:

Complex frequency & transfer functions

Laplace transforms & inverse transforms

Circuit analysis using transforms

Fourier series & Fourier transform

AC network theorems (maximum power transfer)

Resonance & RLC behavior

Z, Y-parameters and network symmetry

Driving point functions

Active/passive elements

Dual networks

Network synthesis principles

The paper structure follows standard AKTU pattern:

SECTION A: Quick conceptual recall

SECTION B: Descriptive + numerical analysis

SECTION C: Applied transform problems & network synthesis tasks

The uploaded file spans three clear pages, containing tables, diagrams, and mathematical expressions.