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Network Analysis
Network Theorems (DC Circuits)

Practice questions from Network Theorems (DC Circuits).

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Q#1 Network Theorems (DC Circuits) GATE EE 2021 (Set 1) MCQ +1 mark -0.33 marks

For the network shown, the equivalent Thevenin voltage and Thevenin impedance as seen across terminals 'ab' is

Diagram, schematic

Description automatically generated

10 V in series with 12 Ω

65 V in series with 15 Ω

50 V in series with 2 Ω

35 V in series with 2 Ω

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Q#2 Network Theorems (DC Circuits) GATE EE 2020 (Set 1) NAT +1 mark -0 marks

The Thevenin equivalent voltage, , in V (rounded off to 2 decimal places) of the network shown below, is

\\169.254.160.58\Kreatryx\DATA\GATE 2020\EE\Question\New Images\Q23.png

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Q#3 Network Theorems (DC Circuits) GATE EE 2020 (Set 1) MCQ +2 marks -0.66 marks

A benchtop DC power supply acts as an ideal 4 A current source as long as its terminal voltage is below 10 V. Beyond this point, it begins to behave as an ideal 10 V voltage source for all load currents going down to 0A. When connected to an ideal rheostat, find the load resistance value at which maximum power is transferred, and the corresponding load voltage and current.  

2.5 Ω, 4 A, 10V

2.5 Ω, 4 A, 5V

Open, 4 A, 0 V

Short, ∞A, 10V

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Q#4 Network Theorems (DC Circuits) GATE EE 2016 (Set 2) NAT +2 marks -0 marks

The driving point input impedance seen from the source  of the circuit shown below, in  is ___________.

13.jpg

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Q#5 Network Theorems (DC Circuits) GATE EE 2015 (Set 1) NAT +1 mark -0 marks

For the given circuit, the Thevenin equivalent is to be determined. The Thevenin voltage,  

(in Volt), seen from terminal AB is _____________.

11.jpg

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Q#6 Network Theorems (DC Circuits) GATE EE 2015 (Set 2) NAT +1 mark -0 marks

The current i(in Ampere) in the  resistor of the given network is _______.

14.jpg

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Q#7 Network Theorems (DC Circuits) GATE EE 2014 (Set 3) MCQ +1 mark -0.33 marks

A non-ideal voltage source has an internal impedance of . If a purely resistive load is to be chosen that maximizes the power transferred to the load, its value must be

0

real part of

magnitude of  

complex conjugate of

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Q#8 Network Theorems (DC Circuits) GATE EE 2014 (Set 3) NAT +2 marks -0 marks

The Norton’s equivalent source in amperes as seen into the terminals X and Y is__________.

C:\Users\Ankit\Dropbox\GATE papers\EE papers\Typed\Gate-EE-2014\Gate-EE-2014_3\EE03_2014 images\18.jpg

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Q#9 Network Theorems (DC Circuits) GATE EE 2013 (Set 1) MCQ +1 mark -0.33 marks

A source  has an internal impedance of . If a purely resistive load connected to this source has to extract the maximum power out of the source, its value in Ω should beA source  has an internal impedance of . If a purely resistive load connected to this source has to extract the maximum power out of the source, its value in Ω should be

3

4

5

7

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Q#10 Network Theorems (DC Circuits) GATE EE 2012 (Set 1) MCQ +1 mark -0.33 marks

The impedance looking into nodes 1 and 2 in the given circuit is

2.jpg

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Q#11 Network Theorems (DC Circuits) GATE EE 2012 (Set 1) MCQ +2 marks -0.66 marks

With 10V dc connected at port A in the linear nonreciprocal two-port network shown below, the following were observed:

(i)  connected at port B draws a current of 3A

(ii)  connected at port B draws a current of 2A

22.jpg

For the same network, with 6V dc connected at port A,  connected at port B draws 7/3A. If 8V dc connected to port A, the open circuit voltage at port B is

6V

7V

8V

9V

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Q#12 Network Theorems (DC Circuits) GATE EE 2012 (Set 1) MCQ +2 marks -0.66 marks

With 10V dc connected at port A in the linear nonreciprocal two-port network shown below, the following were observed:

(i)  connected at port B draws a current of 3A

(ii)  connected at port B draws a current of 2A

22.jpg

With 10V dc connected at port A, the current drawn by  connected at port B is

3/7A

5/7A

1A

9/7A

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Q#13 Network Theorems (DC Circuits) GATE EE 2011 (Set 1) MCQ +1 mark -0.33 marks

In the circuit given below, the value of R required for the transfer of maximum power to the load having a resistance of  is

23.jpg

Zero

Infinity

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Q#14 Network Theorems (DC Circuits) GATE EE 2010 (Set 1) MCQ +1 mark -0.33 marks

As shown in the figure, a  resistance is connected across a source that has a load line

v + i = 100. The current through the resistance is

3.jpg

25 A

50 A

100 A

200 A

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Q#15 Network Theorems (DC Circuits) GATE EE 2009 (Set 1) MCQ +2 marks -0.66 marks

For the circuit shown, find out the current flowing through the 2Ω resistance. Also identify the changes to be made to double the current through the 2Ω resistance.

Q47.jpg

(5A; Put = 20V)

(2A; Put = 8V)

(5A; Put = 10V)

(7A; Put = 12V)

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Q#16 Network Theorems (DC Circuits) GATE EE 2009 (Set 1) MCQ +2 marks -0.66 marks

For the circuit given, the Thevenin's resistance across the terminals A and B is

Q59.jpg

0.5 kΩ

0.2 kΩ

1 kΩ

0.11 kΩ

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Q#17 Network Theorems (DC Circuits) GATE EE 2009 (Set 1) MCQ +2 marks -0.66 marks

For the circuit given, the Thevenin's voltage across the terminals A and B is 

Q59.jpg

1.25 V

0.25 V

1 V

0.5 V

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Q#18 Network Theorems (DC Circuits) GATE EE 2005 (Set 1) MCQ +2 marks -0.66 marks

In Figure, the Thevenin’s equivalent pair (voltage, impedance), as seen at the terminals P-Q, is given by

C:\Users\Ankit\Dropbox\GATE papers\EE papers\Typed\Gate-EE-2005\Figures\Q36.jpg

(2V, 5Ω)

(2V, 7.5Ω)

(4V, 5Ω)

(4V, 7.5Ω)

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Q#19 Network Theorems (DC Circuits) GATE EE 2003 (Set 1) MCQ +2 marks -0.66 marks

Two ac sources feed a common variable resistive load as shown in Figure. Under the maximum power transfer condition, the power absorbed by the load resistance RL is

Q33.jpg

2200 W

1250 W

1000 W        

625 W

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Q#20 Network Theorems (DC Circuits) GATE EE 2000 (Set 1) MCQ +2 marks -0.66 marks

The circuit shown in figure is equivalent to a load of

FIG2.2

4 ohms

2 ohms

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Q#21 Network Theorems (DC Circuits) GATE EE 1998 (Set 1) MCQ +2 marks -0.66 marks

Viewed from the terminals A, B the following circuit shown in figure can be reduced to an equivalent circuit of a single voltage source series with a single resistance with the following parameters:

D:\1Mayu\Gate-9\JPG\JPG\1998\1998\Q2_2.1.jpg

5 volt source in series with 10Ω resistor

7 volt source in series with 2.4Ω resistor

15 volt source in series with 2.4Ω resistor

7 volt source in series with 10Ω resistor

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Q#22 Network Theorems (DC Circuits) GATE EE 1997 (Set 1) MCQ +2 marks -0.66 marks

For the circuit shown in figure. The Norton equivalent source current value is _________ A and its resistance is _________ Ohms

\(I_N = 4A \ and \ R_N = 4.5\Omega\)

\(I_{N} = 2A \ and \ R_{N} = 5.5\Omega\)

\(I_N = 2A \ and \ R_N = 4.5\Omega\)

\(I_N = 1A \ and \ R_N = 4.5\Omega\)

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Q#23 Network Theorems (DC Circuits) GATE EE 1997 (Set 1) MCQ +2 marks -0.66 marks

Find the Thevenin equivalent about AB for the circuit shown in figure

\(\ V_{th}=4A   \ and \  R_{th}=4.5Ω\)

\(\ V_{th}=10A \ and \ R_{th}=4.5Ω\)

\(\ V_{th}=5A \ and \  R_{th}=4.22Ω\)

\(\ V_{th}=10A \  and  \ R_{th}=4.22Ω\)

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Q#24 Network Theorems (DC Circuits) GATE EE 1996 (Set 1) MCQ +1 mark -0.33 marks

The V-I characteristic as seen from the terminal- pair (A, B) of the network of figure is shown in figure. If an inductance of value 6mH is connected across the terminal-pair (A, B), the time constant of the system will be

D:\Vol-2\NT-04.jpg                D:\1Mayu\Gate-9\JPG\JPG\1996\1996\Q 1_9_2.JPG

Unknown, unless the actual network is specified

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Q#25 Network Theorems (DC Circuits) GATE EE 1995 (Set 1) NAT +2 marks -0 marks

For the circuit shown in figure, find the current through the resistance R connected between points a and b by Thevenin’s theorem.

D:\1Mayu\Gate-9\JPG\JPG\1995\1995\Q4.jpg

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Q#26 Network Theorems (DC Circuits) GATE EE 1994 (Set 1) MCQ +1 mark -0.33 marks

The superposition principle is not applicable to a network containing time-varying resistors
Choose the correct options

True

False

It is applicable for non – linear elements.

None

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Q#27 Network Theorems (DC Circuits) GATE EE 1991 (Set 1) MCQ +2 marks -0.66 marks

The V-I characteristic as seen from the terminal pair (A,B) of the network of figure (a) is shown figure (b), if a variable resistance  is connected across the terminal pair (A,B), the maximum power that can be supplied to  would be

D:\Vol-2\NT-01.jpg

80W

40W

20W

Indeterminate unless the actual network is given

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