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NT 2022 Gtu Pyq

This document is an exam for a Network Theory course, consisting of 5 questions worth a total of 70 marks. Question 1 involves determining the Laplace transform of an equation, analyzing inductor and capacitor behavior, and using mesh analysis to solve for currents. Question 2 involves determining z-parameters from y-parameters, defining graph theory terms, and explaining the maximum power transfer theorem. Question 3 involves stating the superposition theorem, reducing a network to an equivalent circuit, and analyzing voltages in a switched circuit. Question 4 involves stating the initial value theorem, finding a Thevenin equivalent, and deriving a relationship between matrix terms. Question 5 involves calculating inductances, explaining positive real functions, determining z-parameters, defining fundamental loops/cuts

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Sandeep kumar
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335 views3 pages

NT 2022 Gtu Pyq

This document is an exam for a Network Theory course, consisting of 5 questions worth a total of 70 marks. Question 1 involves determining the Laplace transform of an equation, analyzing inductor and capacitor behavior, and using mesh analysis to solve for currents. Question 2 involves determining z-parameters from y-parameters, defining graph theory terms, and explaining the maximum power transfer theorem. Question 3 involves stating the superposition theorem, reducing a network to an equivalent circuit, and analyzing voltages in a switched circuit. Question 4 involves stating the initial value theorem, finding a Thevenin equivalent, and deriving a relationship between matrix terms. Question 5 involves calculating inductances, explaining positive real functions, determining z-parameters, defining fundamental loops/cuts

Uploaded by

Sandeep kumar
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Seat No.: ________ Enrolment No.

___________

GUJARAT TECHNOLOGICAL UNIVERSITY


BE - SEMESTER– III (NEW) EXAMINATION – SUMMER 2022
Subject Code:3131103 Date:18-07-2022
Subject Name:Network Theory
Time:02:30 PM TO 05:00 PM Total Marks:70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
4. Simple and non-programmable scientific calculators are allowed.
MARKS

Q.1 (a) Determine the Laplace transform of 𝑓(𝑡) = 𝑒 −3𝑡 sin5t. 03


(b) How the following elements will behave at t=0 and t=∞. Draw equivalent 04
network as well. A) Inductor B) Capacitor.
(c) Determine the mesh currents i1, i2 and i3 in the network shown in fig.1 07
using mesh analysis.
Q.2 (a) Determine z-parameters in terms of y-parameters. 03
(b) Define 1) Tree 2) Connected Graph 3) Co-tree 4) Sub-graph 04
(c) State and explain maximum power transfer theorem. Also derive the 07
condition for maximum power transfer to the load for DC and AC
circuits.
OR
(c) For the network shown in fig.2, the capacitor is initially charged to a 07
voltage V0, with the polarity indicated on the diagram. The switch is
closed at t=0. Determine the particular solution for the current in the
circuit.
Q.3 (a) State and explain Superposition theorem. 03
(b) Reduce the network of fig.3 into an equivalent network across 04
terminals AB with one equivalent current source.
(c) In the network shown in fig.4, the switch k is closed at t=0. For the 07
element values given, determine the values of va(0-) and va(0+).
OR
Q.3 (a) Derive the condition for network to be reciprocal for ABCD 03
parameters.
(b) Explain characteristic of an ideal current source. 04
(c) In the network of Fig.5, the switch k is closed at t=0, a steady state 07
having previously been attained. Find the particular solution for the
current.
Q.4 (a) State and explain initial value theorem of Laplace transform. 03
(b) Find the Thevenin’s equivalent network across A and B terminal for 04
the fig.6
(c) Derive relationship between incidence matrix (A), fundamental tie- 07
set matrix (Bf) and fundamental cut-set matrix (Qf).
OR
Q.4 (a) What is network synthesis? 03
(b) Obtain step response to R-L series circuit using Laplace 04
Transformation.
(c) Find the current in the 5ohm resistor using Norton’s theorem from the 07
fig. 7
Q.5 (a) Determine the inductance of the individual winding shown in fig.8 03
and the equivalent inductance when mutual inductance is 8H.
1
(b) Briefly explain Positive Real Function (PRF). 04
(c) For the network of Fig.9, determine z-parameters. 07
OR
Q.5 (a) Define fundamental loop and cut-set. 03
(b) Derive the condition for network to be symmetrical for g-parameters. 04
(c) Obtain the general solution and the particular solution for the current 07
i(t) in the fig. 10 .Also, obtain the value of current at time t=0.1sec.

2
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