Gujarat Technological UniversitySummer 2025 examination

GTU 3131103 Network Theory Summer 2025 Question Paper & PDF

B.E. · EC Engineering · Semester 3 · Subject code 3131103
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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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4 of 23 questions on this paper were also asked in other years. 8 more are types of question GTU sets again with new data. Each is marked below with the years it appeared.See all 13 repeated 3131103 questions, most asked first

Q.1

14 Marks
(a)
14 marks
Do as directed:
GTU Network Theory (3131103) Summer 2025 Question 1(a) Diagram
1)What is mutual-inductance (M)?
2)Find the equivalent resistance for the circuit shown in Figure
3)What is the difference between the unilateral and bilateral network?
4)Justify: The inductors act as an open circuit at time 𝑡=0+.
5)State Kirchhoff’s current law (KCL).
6)What is the condition for reciprocal network for Y-parameters?
7)State Kirchhoff’s voltage law (KVL).
8)Define “Tree” of a connected graph.
9)What is co-tree and links? 10) What is the Laplace transform of a unit step signal? 11) What is fundamental cut set matrix? 12) Write the equation for hybrid parameters of a two-port network. 13) For a frequency of 200 Hz, the time period will be_________. 14) Ohm is unit of all of the following except___________. A. inductive reactance B. capacitive reactance C. resistance D. capacitance

Q.2

14 Marks
(a)
3 marks
What is time constant? What is its significance?
(b)
4 marksAsked in 2 of 3 papers
Explain dot convention for coupled coils with suitable example.

Also asked in Winter 2025 Q2b

(c)
7 marks

Find current in 20-ohm resistance in the circuit shown in figure:1 using superposition theorem.

GTU Network Theory (3131103) Summer 2025 Question 2(c) Diagram
(c)
7 marksSame type asked in 3 of 3 papers

For the network shown in figure:2 the switch k is closed at t=0, also it reaches a steady state with the switch k open. Find the current i(t) for all time.

GTU Network Theory (3131103) Summer 2025 Question 2 OR (c) Diagram

Also asked in Summer 2026 Q3c, Summer 2026 Q3c OR, Winter 2025 Q3c, Winter 2025 Q4c

Q.3

14 Marks
(a)
3 marksAsked in 2 of 3 papers
State and explain initial value theorem of Laplace transform.

Also asked in Winter 2025 Q3a

(b)
4 marksAsked in 2 of 3 papers
Explain characteristic of an ideal voltage source.

Also asked in Winter 2025 Q4a OR

(c)
7 marks
Calculate the node voltages for all the nodes V1, V2 and V3 shown in figure:

3 using nodal analysis.

GTU Network Theory (3131103) Summer 2025 Question 3(c) Diagram
(a)
3 marksAsked in 2 of 3 papers

Derive the conduction of maximum power transfer for the variable resistance as a load circuit.

Also asked in Summer 2026 Q2c

(b)
4 marksSame type asked in 3 of 3 papers

In the Network shown in figure:4 steady state is reached with switch k is open. At t=0, the switch is closed. For the element values given determine Va(0-) and Va(0+).

GTU Network Theory (3131103) Summer 2025 Question 3 OR (b) Diagram

Also asked in Summer 2026 Q3c, Summer 2026 Q3c OR, Winter 2025 Q3c, Winter 2025 Q4c

(c)
7 marksSame type asked in 2 of 3 papers
Find the Z parameters for the network shown in figure:5.
GTU Network Theory (3131103) Summer 2025 Question 3 OR (c) Diagram

Also asked in Winter 2025 Q5c

Q.4

14 Marks
(a)
3 marks
Define fundamental loop and cut-set.
(b)
4 marksSame type asked in 3 of 3 papers

Find the current in 4Ω resistor for the circuit shown in figure:6 using Thevenin’s theorem and also find maximum power dissipation by the 4Ω.

GTU Network Theory (3131103) Summer 2025 Question 4(b) Diagram

Also asked in Summer 2026 Q2c OR, Winter 2025 Q2c OR

(c)
7 marks

For the circuit of figure:7, using mesh analysis find the mesh currents 𝐼1, 𝐼2 and 𝐼3. Also find voltage v across a dependent source.

(a)
3 marks
Find the inverse Laplace Transform of:

𝐹(𝑠) = 1 + 4 𝑆 + 3 − 5𝑠 𝑠² + 25.

(b)
4 marksSame type asked in 2 of 3 papers

Find the Norton’s equivalent with respect to terminals 𝑎 − 𝑏 in the circuit shown in figure: 8.

GTU Network Theory (3131103) Summer 2025 Question 4 OR (b) Diagram

Also asked in Winter 2025 Q5c OR

(c)
7 marksSame type asked in 3 of 3 papers

In the network of the figure:9, the switch K is in position a for a long time. At 𝑡 = 0, the switch is moved from a to b. Find 𝑣2(𝑡) with assumption that the initial current in the 2 H inductor is zero.

Also asked in Summer 2026 Q3c, Summer 2026 Q3c OR, Winter 2025 Q3c, Winter 2025 Q4c

Q.5

14 Marks
(a)
3 marksSame type asked in 2 of 3 papers
Find Laplace transform of 𝑓(𝑡) = 𝑡2𝑢(𝑡).

Also asked in Winter 2025 Q2a

(b)
4 marks
Explain the terms:
1)Bilateral
2)Passive
3)Oriented graph
4)Time invariant
(c)
7 marks

For the network shown in figure:10 draw the oriented graph. Also obtain incidence matrix (A), fundamental tie-set matrix (Bf) and fundamental cut-set matrix (Qf).

GTU Network Theory (3131103) Summer 2025 Question 5(c) Diagram
(a)
3 marksSame type asked in 2 of 3 papers
Obtain Laplace transform of
1)Unit Impulse function
2)Unit Ramp function
3)sin 𝜔𝑡.

Also asked in Winter 2025 Q2a

(b)
4 marks
Determine h-parameters in terms of z-parameters.
(c)
7 marks

In the network of figure:11, determine ix. Fig:1 Fig:2 Fig:3 Fig:4 Fig:5 Fig:6 Fig:7 Fig:8 Fig:9 Fig:10 Fig:11

More Network Theory papers

Questions repeat across sessions. Working through two or three papers shows you which topics GTU asks most.

Summer 202670 marks · 5 questions
Winter 202570 marks · 5 questions

Other Semester 3 subjects

BE EC

3131101
Control Systems
3131102
Digital System Design
BE03000161
Network Theory
BE03000171
Signals and Systems

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About this paper

Official Gujarat Technological University (GTU) examination paper for Network Theory (Summer 2025, 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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