Gujarat Technological UniversitySummer 2026 examination

GTU BE03000161 Network Theory Summer 2026 Question Paper & PDF

B.E. · EC Engineering · Semester 3 · Subject code BE03000161
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Total
70 marks
To pass
23 marks (33%)
Duration
2.5 Hours 2:30 PM – 5:00 PM
Questions
5 with internal choice
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Q.1

14 Marks
(a)
3 marks
Find the equivalent capacitance for the circuit shown below
GTU Network Theory (BE03000161) Summer 2026 Question 1(a) Diagram
(b)
4 marks
Explain the following electrical network elements with suitable examples:
iLinear and Non-Linear elements
iiBilateral and Unilateral elements
iiiActive and Passive elements
ivLumped and Distributed Networks.
(c)
7 marks
Find V1,V2,V3V_1, V_2, V_3 by the nodal method for the given circuit.
GTU Network Theory (BE03000161) Summer 2026 Question 1(c) Diagram

Q.2

14 Marks
(a)
3 marks
Discuss the rules and limitations of source transformation in network simplification.
(b)
4 marks
State and explain maximum power transfer theorem.
(c)
7 marks
Find the Thevenin's voltage and Thevenin's resistance for the circuit of given below across terminal-ab
GTU Network Theory (BE03000161) Summer 2026 Question 2(c) Diagram
(c)
7 marks
Find current through 15 ohm resistance in the circuit shown in figure using superposition theorem.
GTU Network Theory (BE03000161) Summer 2026 Question 2 OR (c) Diagram

Q.3

14 Marks
(a)
3 marks
Differentiate between transient response and steady-state response.
(b)
4 marks
Give statements for Reciprocity Theorem and Compensation Theorem
(c)
7 marks
State and explain Millman's Theorem with its applications in circuit analysis.
(a)
3 marks
Draw dual of the given network.
GTU Network Theory (BE03000161) Summer 2026 Question 3 OR (a) Diagram
(b)
4 marks
Explain the initial and final conditions of capacitors and inductors with the help of appropriate equivalent circuits.
(c)
7 marks
Find the value of mesh currents in the circuit shown below.
GTU Network Theory (BE03000161) Summer 2026 Question 3 OR (c) Diagram

Q.4

14 Marks
(a)
3 marks
Find the value of L{tcos⁡bt}L\{t\cos bt\}.
(b)
4 marks
The incidence matrix of a graph is given below:

A=[−1011−101−1000−101−1−111]A = \begin{bmatrix} -1 & 0 & 1 & 1 & -1 & 0 \\ 1 & -1 & 0 & 0 & 0 & -1 \\ 0 & 1 & -1 & -1 & 1 & 1 \end{bmatrix}

iDraw the graph
iiHow many trees are possible?
iiiWrite the reduced incidence matrix
(c)
7 marks
Analyse the transient response of a first-order RL or RC circuit and illustrate it with a suitable example.
(a)
3 marks
Define time constant and state its importance in circuit analysis.
(b)
4 marks

Find the inverse Laplace transform of the function

F(s)=log⁡s+3s+4F(s) = \log\dfrac{s + 3}{s + 4}

(c)
7 marks
Find i and v if the switch is opened at t = 0 after keeping it closed for a long time.
GTU Network Theory (BE03000161) Summer 2026 Question 4 OR (c) Diagram

Q.5

14 Marks
(a)
3 marks
Explain the concept of PRF.
(b)
4 marks
Define the following terms:
iPlanner graph
iiIncident Matrix
iiiTie-set matrix
ivSub-graph
(c)
7 marks
Discuss the interrelationship between Z-parameters and Y-parameters and derive the required expressions for a two-port network.
(a)
3 marks
List down the properties of Hurwitz polynomial.
(b)
4 marks
Derive and explain the transformation of Y-parameters into Z-parameters for a two-port network.
(c)
7 marks
Calculate the h-parameters of the given two-port network.
GTU Network Theory (BE03000161) Summer 2026 Question 5 OR (c) Diagram

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About this paper

Official Gujarat Technological University (GTU) examination paper for Network Theory (Summer 2026, B.E. · EC Engineering, Sem 3). Features complete 70-mark regular & remedial examination pattern, official marking distribution across all 5 questions, and direct 1-click official PDF download.

Transcribed for student exam preparation from Gujarat Technological University official examination archives. Questions, syllabus guidelines, and curriculum marking schemes remain the intellectual property of Gujarat Technological University.

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