(SEM III) THEORY EXAMINATION 2022-23 NETWORK ANALYSIS & SYNTHESIS

This question paper is a comprehensive examination designed for students of Electrical Engineering / Electronics Engineering, specifically covering the subject of Network Analysis, Circuit Theory, and Signal Processing Fundamentals. The structure of the paper ensures that the student understands not only the theoretical concepts but also their mathematical applications, circuit-solving techniques, and system behaviors in both the time domain and frequency domain.

The paper is divided into three major sections: A, B, and C, each one assessing progressively deeper understanding and problem-solving ability.

SECTION A – Short Conceptual Questions (20 Marks)

Section A consists of ten short-answer questions, each carrying 2 marks. These questions are designed to test the student’s fundamental knowledge, conceptual clarity, and theoretical understanding.

The topics covered are foundational pillars of electrical engineering:

Basic circuit analysis such as voltage calculation and power delivered to elements.

Dirichlet’s conditions, which determine when a function can be represented by a Fourier series.

Signal representation using unit step functions—a crucial skill in signal modeling.

Concepts from network theory, including reciprocity in two-port networks and the difference between line voltage and phase voltage in three-phase systems.

Core Laplace transform theorems like initial and final value theorems.

System behaviors such as steady-state response and transient response.

Theorems that govern electrical networks, such as Reciprocity theorem and Tellegen’s theorem, which help in understanding power distribution and circuit behavior.

This section ensures that students have a strong conceptual base before moving to numerical and analytical problems.

SECTION B – Descriptive & Numerical Analysis (30 Marks)

This section contains five in-depth questions, out of which students must attempt any three. Each carries 10 marks, making Section B the heart of the exam, focused on analytical thinking and circuit-solving skills.

The topics require a combination of theory, derivation, and stepwise problem solving:

1. Duality Principle

Students must explain the duality principle in circuits and construct the dual circuit, demonstrating understanding of counterpart relationships between electrical quantities.

2. Superposition Theorem

This question involves both explanation and numeric solution of a circuit using superposition, testing knowledge of linearity and decomposition of sources.

3. Response of Circuits to Waveforms

A sawtooth waveform is applied to a circuit, and students must derive the output response — integrating knowledge of signals, system properties, and circuit behavior.

4. Laplace Transform Properties

Students must explain and apply Laplace properties, then compute the transform of functions like cos(2t) + e–3t, reinforcing understanding of system modeling and differential equation solving.

5. RLC Circuit Damping Conditions

This question tests understanding of system dynamics by asking definitions and differences between:

Overdamped

Underdamped

Critically damped

Natural frequency & damping frequency

This helps evaluate how students understand physical behavior of oscillatory systems.

SECTION C – Advanced Numerical Problems (40 Marks)

Section C contains four main questions, each with two alternative parts. The student must attempt one part from each, and each part carries 10 marks. These questions require deeper understanding and application of circuit analysis techniques.

1. Source Transformation & Node Voltage

Students solve advanced circuits using either source transformation or nodal voltage method, demonstrating mastery in simplifying and solving complex circuits.

2. Thevenin’s and Norton’s Theorem

Students must find:

Thevenin equivalent
or

Norton equivalent

These techniques are essential for reducing networks to simpler models—a must-have skill in circuit design.

3. Fourier Analysis

Students choose between:

Deriving the Fourier series of a square wave and plotting amplitude & phase spectrum,
or

Finding the Fourier transform of a rectangular pulse.

This tests signal decomposition, frequency-domain understanding, and spectral analysis—key topics for communication and electronics engineering.

4. Laplace Transform Applications

Here, students must:

Solve mesh currents using Laplace transforms,
or

Compute inverse Laplace transforms of rational functions.

This section ensures strong mathematical grounding in solving differential equations and analyzing circuit behavior using transforms.

5. Two-Port Network Parameters & Filters

Students explain two-port networks and derive z-parameters, or explain passive filters (low pass, high pass, band pass, band stop). This checks understanding of electronic networks, communication foundations, and frequency-selective circuits.

OVERALL PURPOSE OF THE PAPER

This exam aims to evaluate the student’s:

Conceptual understanding of electrical networks

Mathematical skills in solving circuits

Analytical ability to handle signals and transforms

Problem-solving skills using various circuit theorems

Understanding of transient and steady-state responses

Knowledge of frequency-domain tools like Fourier and Laplace transforms

Ability to deal with practical networks like filters and two-port networks

It bridges theory with practical engineering applications and is crucial for further courses like Control Systems, Communications, Power Electronics, and Analog Circuit Design.

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