Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 Winter 3rd Sem New 3131103 Network Theory Previous Question Paper
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? III (New) EXAMINATION ? WINTER 2019
Subject Code: 3131103 Date: 3/12/2019
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.
Marks
Q.1 (a) Draw Ideal and Practical Current and Voltage source
characteristics. In what respect practical current and
voltage sources are different from ideal current and
voltage sources.
03
(b) Derive current, voltage, power and energy equations of
two terminal elements Resistor, Inductor and Capacitor.
04
(c) Determine the current in 4? resistor using mesh analysis
for the network shown in figure 1.
07
Q.2 (a) Derive the conduction of maximum power transfer for the
variable resistance as a load circuit.
03
(b) What is equivalent circuit of the charged and uncharged
inductor and capacitor at t=0+ and t=?.
04
(c) Determine the value of I1 using superposition theorem for
the circuit shown in figure 2.
07
OR
(c) Find the current in 4? resistor for the circuit shown in
figure 3 using Thevenin?s theorem and also find maximum
power dissipation by the 4?.
07
Q.3 (a) Define the time-constant of RL and RC networks and
explain the significance of the time-constant.
03
(b) In the network shown in figure 4, the switch k is moved
from position 1 to 2 at t=0, steady state having previously
been attained. Determine the current i(t) for the t?0.
04
(c) In the network shown in figure 5, the switch k is changed
from position 1 to 2 at t=0. Find values of i, di/dt and
d
2
i/dt
2
at t=0+ if R=1000?, L=1H, C=0.1?F and V=100V.
07
OR
Q.3 (a) In the network shown in figure 6, the switch k is closed at
t=0, a steady state having previously been attained. Find
i(t) for t? 0.
03
(b) An exponential voltage v(t)=4e
-3t
is applied at time t=0 to
a series R-L circuit consisting of a resistor R=0.5? and
inductor L=0.25H as shown in figure 7 Obtain the
expression of current i(t) for t?0. Assume zero current
through the inductor before switching.
04
(c) Obtain z-parameters for the network shown in figure 8. 07
Q.4 (a) Write the procure to obtain Thevenin?s equivalent voltage
and resistance for the different types of network.
03
(b) In the network shown in figure 9 the switch k is moved
from position a to b at t=0, a steady state existing in
04
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Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? III (New) EXAMINATION ? WINTER 2019
Subject Code: 3131103 Date: 3/12/2019
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.
Marks
Q.1 (a) Draw Ideal and Practical Current and Voltage source
characteristics. In what respect practical current and
voltage sources are different from ideal current and
voltage sources.
03
(b) Derive current, voltage, power and energy equations of
two terminal elements Resistor, Inductor and Capacitor.
04
(c) Determine the current in 4? resistor using mesh analysis
for the network shown in figure 1.
07
Q.2 (a) Derive the conduction of maximum power transfer for the
variable resistance as a load circuit.
03
(b) What is equivalent circuit of the charged and uncharged
inductor and capacitor at t=0+ and t=?.
04
(c) Determine the value of I1 using superposition theorem for
the circuit shown in figure 2.
07
OR
(c) Find the current in 4? resistor for the circuit shown in
figure 3 using Thevenin?s theorem and also find maximum
power dissipation by the 4?.
07
Q.3 (a) Define the time-constant of RL and RC networks and
explain the significance of the time-constant.
03
(b) In the network shown in figure 4, the switch k is moved
from position 1 to 2 at t=0, steady state having previously
been attained. Determine the current i(t) for the t?0.
04
(c) In the network shown in figure 5, the switch k is changed
from position 1 to 2 at t=0. Find values of i, di/dt and
d
2
i/dt
2
at t=0+ if R=1000?, L=1H, C=0.1?F and V=100V.
07
OR
Q.3 (a) In the network shown in figure 6, the switch k is closed at
t=0, a steady state having previously been attained. Find
i(t) for t? 0.
03
(b) An exponential voltage v(t)=4e
-3t
is applied at time t=0 to
a series R-L circuit consisting of a resistor R=0.5? and
inductor L=0.25H as shown in figure 7 Obtain the
expression of current i(t) for t?0. Assume zero current
through the inductor before switching.
04
(c) Obtain z-parameters for the network shown in figure 8. 07
Q.4 (a) Write the procure to obtain Thevenin?s equivalent voltage
and resistance for the different types of network.
03
(b) In the network shown in figure 9 the switch k is moved
from position a to b at t=0, a steady state existing in
04
2
position a before t=0. Solve for the current i(t) using the
Laplace transformation method.
(c) Find the Norton?s equivalent circuit for the network
shown in figure 10 and obtain current in 10? (load
resistor).
07
OR
Q.4 (a) Find the Laplace transform of the signal f(t)=e
-at
sin(wt). 03
(b) Obtain the voltage across the capacitor in the LC circuit
shown in figure 11 using Laplace transformation
technique, if initial voltage across capacitor is 2V.
04
(c) Using nodal analysis determine the current I in the circuit
shown in figure 12.
07
Q.5 (a) Define (1) Oriented Graph (2) Tree and (3) Incidence
matrix.
03
(b) Define symmetry and reciprocity conditions for two port
network also derive conditions of symmetry and
reciprocity of the two port network in terms of Z
parameters.
04
(c) For the circuit shown in figure 13 draw the oriented graph
and obtain the (1) Incidence matrix (2) f-cutset matrix and
(3) tieset matrix.
07
OR
Q.5 (a) List out the necessary and sufficient conditions for
positive real function.
03
(b) Determine the inductance between the terminals for three
coil shown in figure 14.
04
(c) For the circuit shown in figure 15 draw the oriented graph
and obtain the (1) Incidence matrix (2) f-cutset matrix and
(3) tieset matrix.
07
Figure 1 Figure 2
Figure 3 Figure 4
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1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? III (New) EXAMINATION ? WINTER 2019
Subject Code: 3131103 Date: 3/12/2019
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.
Marks
Q.1 (a) Draw Ideal and Practical Current and Voltage source
characteristics. In what respect practical current and
voltage sources are different from ideal current and
voltage sources.
03
(b) Derive current, voltage, power and energy equations of
two terminal elements Resistor, Inductor and Capacitor.
04
(c) Determine the current in 4? resistor using mesh analysis
for the network shown in figure 1.
07
Q.2 (a) Derive the conduction of maximum power transfer for the
variable resistance as a load circuit.
03
(b) What is equivalent circuit of the charged and uncharged
inductor and capacitor at t=0+ and t=?.
04
(c) Determine the value of I1 using superposition theorem for
the circuit shown in figure 2.
07
OR
(c) Find the current in 4? resistor for the circuit shown in
figure 3 using Thevenin?s theorem and also find maximum
power dissipation by the 4?.
07
Q.3 (a) Define the time-constant of RL and RC networks and
explain the significance of the time-constant.
03
(b) In the network shown in figure 4, the switch k is moved
from position 1 to 2 at t=0, steady state having previously
been attained. Determine the current i(t) for the t?0.
04
(c) In the network shown in figure 5, the switch k is changed
from position 1 to 2 at t=0. Find values of i, di/dt and
d
2
i/dt
2
at t=0+ if R=1000?, L=1H, C=0.1?F and V=100V.
07
OR
Q.3 (a) In the network shown in figure 6, the switch k is closed at
t=0, a steady state having previously been attained. Find
i(t) for t? 0.
03
(b) An exponential voltage v(t)=4e
-3t
is applied at time t=0 to
a series R-L circuit consisting of a resistor R=0.5? and
inductor L=0.25H as shown in figure 7 Obtain the
expression of current i(t) for t?0. Assume zero current
through the inductor before switching.
04
(c) Obtain z-parameters for the network shown in figure 8. 07
Q.4 (a) Write the procure to obtain Thevenin?s equivalent voltage
and resistance for the different types of network.
03
(b) In the network shown in figure 9 the switch k is moved
from position a to b at t=0, a steady state existing in
04
2
position a before t=0. Solve for the current i(t) using the
Laplace transformation method.
(c) Find the Norton?s equivalent circuit for the network
shown in figure 10 and obtain current in 10? (load
resistor).
07
OR
Q.4 (a) Find the Laplace transform of the signal f(t)=e
-at
sin(wt). 03
(b) Obtain the voltage across the capacitor in the LC circuit
shown in figure 11 using Laplace transformation
technique, if initial voltage across capacitor is 2V.
04
(c) Using nodal analysis determine the current I in the circuit
shown in figure 12.
07
Q.5 (a) Define (1) Oriented Graph (2) Tree and (3) Incidence
matrix.
03
(b) Define symmetry and reciprocity conditions for two port
network also derive conditions of symmetry and
reciprocity of the two port network in terms of Z
parameters.
04
(c) For the circuit shown in figure 13 draw the oriented graph
and obtain the (1) Incidence matrix (2) f-cutset matrix and
(3) tieset matrix.
07
OR
Q.5 (a) List out the necessary and sufficient conditions for
positive real function.
03
(b) Determine the inductance between the terminals for three
coil shown in figure 14.
04
(c) For the circuit shown in figure 15 draw the oriented graph
and obtain the (1) Incidence matrix (2) f-cutset matrix and
(3) tieset matrix.
07
Figure 1 Figure 2
Figure 3 Figure 4
3
Figure 5 Figure 6
Figure 7 Figure 8
Figure 9 Figure 10
Figure 11 Figure 12
Figure 13 Figure 14
FirstRanker.com - FirstRanker's Choice
1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? III (New) EXAMINATION ? WINTER 2019
Subject Code: 3131103 Date: 3/12/2019
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.
Marks
Q.1 (a) Draw Ideal and Practical Current and Voltage source
characteristics. In what respect practical current and
voltage sources are different from ideal current and
voltage sources.
03
(b) Derive current, voltage, power and energy equations of
two terminal elements Resistor, Inductor and Capacitor.
04
(c) Determine the current in 4? resistor using mesh analysis
for the network shown in figure 1.
07
Q.2 (a) Derive the conduction of maximum power transfer for the
variable resistance as a load circuit.
03
(b) What is equivalent circuit of the charged and uncharged
inductor and capacitor at t=0+ and t=?.
04
(c) Determine the value of I1 using superposition theorem for
the circuit shown in figure 2.
07
OR
(c) Find the current in 4? resistor for the circuit shown in
figure 3 using Thevenin?s theorem and also find maximum
power dissipation by the 4?.
07
Q.3 (a) Define the time-constant of RL and RC networks and
explain the significance of the time-constant.
03
(b) In the network shown in figure 4, the switch k is moved
from position 1 to 2 at t=0, steady state having previously
been attained. Determine the current i(t) for the t?0.
04
(c) In the network shown in figure 5, the switch k is changed
from position 1 to 2 at t=0. Find values of i, di/dt and
d
2
i/dt
2
at t=0+ if R=1000?, L=1H, C=0.1?F and V=100V.
07
OR
Q.3 (a) In the network shown in figure 6, the switch k is closed at
t=0, a steady state having previously been attained. Find
i(t) for t? 0.
03
(b) An exponential voltage v(t)=4e
-3t
is applied at time t=0 to
a series R-L circuit consisting of a resistor R=0.5? and
inductor L=0.25H as shown in figure 7 Obtain the
expression of current i(t) for t?0. Assume zero current
through the inductor before switching.
04
(c) Obtain z-parameters for the network shown in figure 8. 07
Q.4 (a) Write the procure to obtain Thevenin?s equivalent voltage
and resistance for the different types of network.
03
(b) In the network shown in figure 9 the switch k is moved
from position a to b at t=0, a steady state existing in
04
2
position a before t=0. Solve for the current i(t) using the
Laplace transformation method.
(c) Find the Norton?s equivalent circuit for the network
shown in figure 10 and obtain current in 10? (load
resistor).
07
OR
Q.4 (a) Find the Laplace transform of the signal f(t)=e
-at
sin(wt). 03
(b) Obtain the voltage across the capacitor in the LC circuit
shown in figure 11 using Laplace transformation
technique, if initial voltage across capacitor is 2V.
04
(c) Using nodal analysis determine the current I in the circuit
shown in figure 12.
07
Q.5 (a) Define (1) Oriented Graph (2) Tree and (3) Incidence
matrix.
03
(b) Define symmetry and reciprocity conditions for two port
network also derive conditions of symmetry and
reciprocity of the two port network in terms of Z
parameters.
04
(c) For the circuit shown in figure 13 draw the oriented graph
and obtain the (1) Incidence matrix (2) f-cutset matrix and
(3) tieset matrix.
07
OR
Q.5 (a) List out the necessary and sufficient conditions for
positive real function.
03
(b) Determine the inductance between the terminals for three
coil shown in figure 14.
04
(c) For the circuit shown in figure 15 draw the oriented graph
and obtain the (1) Incidence matrix (2) f-cutset matrix and
(3) tieset matrix.
07
Figure 1 Figure 2
Figure 3 Figure 4
3
Figure 5 Figure 6
Figure 7 Figure 8
Figure 9 Figure 10
Figure 11 Figure 12
Figure 13 Figure 14
4
Figure 15
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This post was last modified on 20 February 2020