Gujarat Technological UniversityWinter 2025 examination

GTU BE03000161 Network Theory Winter 2025 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 10:30 AM – 1:00 PM
Questions
5 with internal choice
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Q.1

14 Marks
(a)
3 marks
List out independent and dependent electrical sources with their symbols.
(b)
4 marks
Determine the current through load resistor using source transformation techniques.
GTU Network Theory (BE03000161) Winter 2025 Question 1(b) Diagram
(c)
7 marks
For the given network, determine the current in 4Ω4\Omega resistors using Mesh Analysis.
GTU Network Theory (BE03000161) Winter 2025 Question 1(c) Diagram

Q.2

14 Marks
(a)
3 marks
State the Superposition Theorem. List its limitations.
(b)
4 marks
For the transformer shown in the figure with 3 winding with their winding directions over the limbs, mark the dots on the terminals according Dot convention theorem.
GTU Network Theory (BE03000161) Winter 2025 Question 2(b) Diagram
(c)
7 marks
Draw Thevenin's equivalent circuit across terminal AB of the given network.
GTU Network Theory (BE03000161) Winter 2025 Question 2(c) Diagram
(c)
7 marks
Determine the current ii in the circuit shown in figure using Nodal analysis.
GTU Network Theory (BE03000161) Winter 2025 Question 2 OR (c) Diagram

Q.3

14 Marks
(a)
3 marks
Draw dual of the given network.
GTU Network Theory (BE03000161) Winter 2025 Question 3(a) Diagram
(b)
4 marks
Draw and explain briefly the equivalent circuit of the charged and uncharged inductor and capacitor at t=0+t=0+ and t=∞t=\infty(infinity).
(c)
7 marks
State Maximum Power Transfer theorem and explain in brief. Derive the condition for maximum power transfer to the load for DC and AC circuits.
(a)
3 marks
Define the time-constant. Explain the significance of the time-constant.
(b)
4 marks
State and Explain Millman’s theorem.
(c)
7 marks
Find the value of IXI_X using Superposition theorem in the circuit shown below.
GTU Network Theory (BE03000161) Winter 2025 Question 3 OR (c) Diagram

Q.4

14 Marks
(a)
3 marks
Find the Laplace Transform of e−atcos⁡wte^{-at}\cos wt .
(b)
4 marks

The reduced incidence matrix of an oriented graph is as shown below.

A=[0−110000−1−1−1−10001]A = \begin{bmatrix} 0 & -1 & 1 & 0 & 0 \\ 0 & 0 & -1 & -1 & -1 \\ -1 & 0 & 0 & 0 & 1 \end{bmatrix}

aDraw the graph
bHow many trees are possible?
cWrite the tie set matrix
dWrite the cut set matrix
(c)
7 marks
Obtain the transient response of a first order system using a suitable example.
(a)
3 marks
State initial and final value theorem with appropriate equation in term of Laplace Transformation.
(b)
4 marks
A series R-C circuit is connected to a constant d.c. voltage source V through switch K, as shown in figure. Initially the switch is kept open for very long time. Obtain the expression for the current ic(t)i_c(t) through capacitor for t>0.
GTU Network Theory (BE03000161) Winter 2025 Question 4 OR (b) Diagram
(c)
7 marks
The switch is closed at t=0. Find out value of i,didt,d2idt2i, \dfrac{di}{dt}, \dfrac{d^2 i}{dt^2} at t=0+. The value of R is 10Ω10\Omega, L is 1H and 100V is applied. Assume initial current of inductor to be zero.
GTU Network Theory (BE03000161) Winter 2025 Question 4 OR (c) Diagram

Q.5

14 Marks
(a)
3 marks
List out and write the equation of h-parameters and ABCD-parameters.
(b)
4 marks
Derive z-parameters in terms of y-parameters.
(c)
7 marks
Explain condition of reciprocity and symmetry of two port network in terms of z-parameter.
(a)
3 marks
Define (1) Oriented Graph (2) Incidence matrix (3) Tree
(b)
4 marks
Write down the necessary and sufficient conditions for positive real function (PRF).
(c)
7 marks
Derive the relation between incidence matrix, fundamental tie-set matrix and fundamental cut-set matrix.

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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.

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