Q.1
14 Marks(b)
Derive the condition for network to be reciprocal for y-parameters.
(c)
Determine the power delivered by the voltage source for the circuit shown in
Gujarat Technological UniversityWinter 2025 examination
GTU 3131103 Network Theory Winter 2025 Question Paper & PDF
B.E. · EC Engineering · Semester 3 · Subject code 3131103
- Total
- 70 marks
- To pass
- 23 marks (33%)
- Duration
- 2.5 Hours 10:30 AM – 1:00 PM
- Questions
- 5 with internal choice
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7 of 25 questions on this paper were also asked in other years. 6 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.2
14 Marks(a)
Determine the Laplace transform of 𝑓(𝑡)= 𝑒5tsin8t.
Also asked in Summer 2025 Q5a, Summer 2025 Q5a OR
(c)
Derive relationship between incidence matrix and fundamental cut-set matrix.
OR
(c)
Find the current in 10ohm resistor in the network of Fig.2 using Thevenin’s theorem. Resistances are in ohms.
Also asked in Summer 2026 Q2c OR, Summer 2025 Q4b
Q.3
14 Marks(b)
Explain and derive the step response to R-L series circuit using Laplace Transformation method.
(c)
In the network of Fig.3, a steady state is reached with the switch k open. At t=0, the switch is closed. For the elements given, determine values of Va(0-) and Va(0+).
Also asked in Summer 2026 Q3c, Summer 2026 Q3c OR, Summer 2025 Q2c OR, Summer 2025 Q3b OR, Summer 2025 Q4c OR
OR
(a)
Explain final value theorem of Laplace transform.
(b)
Explain and derive the step response to R-C series circuit using Laplace Transformation method.
(c)
In the network of Fig.4, the switch k is closed at t=0. Find the particular solution for the current.
Q.4
14 Marks(a)
Explain characteristic of an ideal current source.
(b)
Briefly explain Positive Real Function (PRF).
(c)
In the circuit shown in Fig.5, switch k is closed on position 1 at t=0, and then moved to position 2 after 0.5ms. Obtain the equations for the current in both intervals.
Also asked in Summer 2026 Q3c, Summer 2026 Q3c OR, Summer 2025 Q2c OR, Summer 2025 Q3b OR, Summer 2025 Q4c OR
OR
(b)
Explain following terms: (a) Tree (b) Mesh (c) Subgraph d) Planar Graph.
Also asked in Summer 2026 Q5a, Summer 2026 Q5a OR
(c)
Obtain required condition for ABCD parameters to be reciprocal and symmetrical.
Q.5
14 Marks(b)
Write a short note on Inverse Hybrid Parameters.
OR
(a)
What is network synthesis?
(b)
Derive formulae to convert given 𝑦 – parameters into z - parameters.
Also asked in Summer 2026 Q4b
(c)
Find Norton’s equivalent network across terminals AB of the network shown in
Also asked in Summer 2025 Q4b OR
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About this paper
Official Gujarat Technological University (GTU) examination paper for Network Theory (Winter 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.