Network Basics - Network Analysis

Q#1 Network Basics GATE EE 2025 (Set 1) MCQ +1 mark -0.33 marks

The I-V characteristics of the element between the nodes X and Y is best depicted by

Q#2 Network Basics GATE EE 2025 (Set 1) MCQ +1 mark -0.33 marks

A nullator is defined as a circuit element where the voltage across the device and the current through the device are both zero. A series combination of a nullator and a resistor of value, R, will behave as a

resistor of value R.

nullator

open circuit.

short circuit.

Q#3 Network Basics GATE EE 2024 (Set 1) MCQ +1 mark -0.33 marks

The number of junctions in the circuit is

6

7

8

9

Q#4 Network Basics GATE EE 2024 (Set 1) MCQ +1 mark -0.33 marks

All the elements in the circuit are ideal. The power delivered by the source in watts is

0

50

100

dependent on the value of

Q#5 Network Basics GATE EE 2023 (Set 1) NAT +1 mark -0 marks

For the circuit shown in the figure, and . The voltage in Volts is __________ (Round off to 1 decimal place).

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Q#6 Network Basics GATE EE 2022 (Set 1) NAT +2 marks -0 marks

In the circuit shown below, the magnitude of voltage V1 in volts, across the 8 kΩ resistor is ________ . (round off to nearest integer)

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Q#7 Network Basics GATE EE 2021 (Set 1) NAT +1 mark -0 marks

In the given circuit, for voltage Vy to be zero, value of β should be_________ (round off to 2 decimal places).

Timeline

Description automatically generated

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Q#8 Network Basics GATE EE 2019 (Set 1) NAT +1 mark -0 marks

The current I flowing in the circuit shown below in amperes (round off to one decimal place) is ____________.

$\\169.254.160.58\Kreatryx\DATA\Gate 2019\EE\EE Question Digram\16.jpg$

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Q#9 Network Basics GATE EE 2019 (Set 1) NAT +2 marks -0 marks

The current I flowing in the circuit shown below in amperes is ________.

$Z:\DATA\Gate 2019\EE\Ques Fig EE 2019 (Naveen )Fig\Q43.jpg$

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Q#10 Network Basics GATE EE 2017 (Set 1) NAT +1 mark -0 marks

The power supplied by the 25 V source in the figure shown below is ____________ W.

$Z:\PY\EE\Redreaw figure\Network\updated\10-45.jpg$

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Q#11 Network Basics GATE EE 2017 (Set 1) NAT +1 mark -0 marks

The equivalent resistance between the terminals A and B is __________ .

$Z:\PY\EE\Redreaw figure\Network\updated\10-46.jpg$

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Q#12 Network Basics GATE EE 2017 (Set 1) NAT +2 marks -0 marks

In the circuit shown below, the maximum power transferred to the resistor R is _____W.

$Z:\PY\EE\Redreaw figure\Network\updated\11-47.jpg$

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Q#13 Network Basics GATE EE 2017 (Set 2) MCQ +2 marks -0.66 marks

In the circuit shown below, the value of capacitor C required for maximum power to be transferred to the load is

$Z:\PY\EE\Redreaw figure\Network\updated\11-48.jpg$

1 nF

1 mF

10 mF

Q#14 Network Basics GATE EE 2017 (Set 2) MCQ +2 marks -0.66 marks

For the network given in figure below, the Thevenin’s voltage Vab is

$Z:\PY\EE\Redreaw figure\Network\updated\11-49.jpg$

– 1.5 V

– 0.5 V

0.5 V

1.5 V

Q#15 Network Basics GATE EE 2016 (Set 1) MCQ +1 mark -0.33 marks

and are the input resistances of circuits as shown below. The circuit extends infinitely in the direction shown. Which one of the following statements is TRUE?

Q#16 Network Basics GATE EE 2016 (Set 1) NAT +1 mark -0 marks

In the portion of a circuit shown, if the heat generated in resistance is 10 calories per second, then heat generated by the resistance, in calories per second, is__________.

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Q#17 Network Basics GATE EE 2016 (Set 1) NAT +1 mark -0 marks

In the given circuit, the current supplied by the battery, in ampere, is______________

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Q#18 Network Basics GATE EE 2016 (Set 1) NAT +2 marks -0 marks

In the circuit shown below, the node voltage is ________________V.

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Q#19 Network Basics GATE EE 2016 (Set 2) MCQ +1 mark -0.33 marks

In the circuit shown below, the voltage and current sources are ideal. The voltage across the current source, in volts, is

0

5

10

20

Q#20 Network Basics GATE EE 2015 (Set 1) MCQ +1 mark -0.33 marks

The voltages developed across the and resistors shown in the figure are 6V and 2V respectively, with the polarity as marked. What is the power (in Watt) delivered by the 5V voltage source?

5

7

10

14

Q#21 Network Basics GATE EE 2015 (Set 1) NAT +2 marks -0 marks

In the given circuit, the parameter k is positive, and the power dissipated in the 2 resistor is 12.5W. The value of k is ____________.

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Q#22 Network Basics GATE EE 2014 (Set 1) NAT +1 mark -0 marks

The three circuit elements shown in the figure are part of an electric circuit. The total power absorbed by the three circuit elements in watt is _______________.

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Q#23 Network Basics GATE EE 2014 (Set 1) NAT +2 marks -0 marks

An incandescent lamp is marked 40W, 240V. If resistance at room temperature is and temperature coefficient of resistance is , then its ‘ON’ state filament temperature is is approximately______________.

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Q#24 Network Basics GATE EE 2014 (Set 1) NAT +2 marks -0 marks

In the figure, the value of resistor R is (25 + I/2) ohms, where I is the current in amperes. The current I is ________________.

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Q#25 Network Basics GATE EE 2014 (Set 3) NAT +2 marks -0 marks

The power delivered by the current source, in the figure is_________.

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Q#26 Network Basics GATE EE 2013 (Set 1) MCQ +1 mark -0.33 marks

Consider a delta connection of resistors and its equivalent star connection as shown below. If all elements of the delta connection are scaled by a factor k, k>0, the element of the corresponding star equivalent will be scaled by a factor of

k

1/k

Q#27 Network Basics GATE EE 2012 (Set 1) MCQ +2 marks -0.66 marks

If , then is

$C:\Users\Ankit\Dropbox\GATE papers\EE papers\Typed\Gate-EE-2012\GATE-Electrical-Engineering-2012 images\9.jpg$

–5V

2V

3V

6V

Q#28 Network Basics GATE EE 2010 (Set 1) MCQ +2 marks -0.66 marks

If the resistor draws a current of 1 A as shown in the figure, the value of resistance R is

Q#29 Network Basics GATE EE 2009 (Set 1) MCQ +1 mark -0.33 marks

The current through the 2kΩ resistance in the circuit shown is

0 mA

1 mA

2 mA

6 mA

Q#30 Network Basics GATE EE 2009 (Set 1) MCQ +1 mark -0.33 marks

How many 200W/220V incandescent lamps connected in series would consume the same total power as a single 100W/220V incandescent lamp?

Not possible

4

3

2

Q#31 Network Basics GATE EE 2008 (Set 1) MCQ +2 marks -0.66 marks

Assuming ideal elements in the circuit shown below, the voltage will be

−3V

0V

3V

5V

Q#32 Network Basics GATE EE 2008 (Set 1) MCQ +2 marks -0.66 marks

In the circuit shown in the figure. The value of the current i will be given by

0.31 A

1.25 A

1.75 A

2.5 A

Q#33 Network Basics GATE EE 2008 (Set 1) MCQ +2 marks -0.66 marks

The current i(t) sketched in the figure flows through an initially uncharged 0.3nF capacitor.

The charge stored in the capacitor at t = 5µs, will be

8 nC

10 nC

13 nC

16 nC

Q#34 Network Basics GATE EE 2008 (Set 1) MCQ +2 marks -0.66 marks

The current i(t) sketched in the figure flows through an initially uncharged 0.3nF capacitor.

The capacitor charged up to 5µs, as per the current profile given in the figure, is connected across an

inductor of 0.6mH. Then the value of voltage across the capacitor after 1µs will approximately be

18.8V

23.5V

−23.5V

−30.6V

Q#35 Network Basics GATE EE 2007 (Set 1) MCQ +2 marks -0.66 marks

A 3 V dc supply with an internal resistance of 2Ω supplies a passive non-linear resistance characterized by the relation. The power dissipated in the non linear resistance is

1.0 W

1.5 W

2.5 W

3.0 W

Q#36 Network Basics GATE EE 2005 (Set 1) MCQ +1 mark -0.33 marks

Figure the value of R is

2.5 Ω

5.0 Ω

7.5 Ω

10.0 Ω

Q#37 Network Basics GATE EE 2004 (Set 1) MCQ +2 marks -0.66 marks

In figure, the value of the source voltage is

12 V

24 V

30 V

44 V

Q#38 Network Basics GATE EE 2004 (Set 1) MCQ +2 marks -0.66 marks

In figure, Ra, Rb and Rc are 20Ω, 10Ω and 10Ω respectively. The resistance R1, R2 and R3 in Ω of an equivalent star-connection are

2.5, 5, 5

5, 2.5, 5

5, 5, 2.5

2.5, 5, 2.5

Q#39 Network Basics GATE EE 2004 (Set 1) MCQ +2 marks -0.66 marks

In figure, the value of resistance R in Ω is

10

20

30

40

Q#40 Network Basics GATE EE 2003 (Set 1) MCQ +1 mark -0.33 marks

Figure shows the waveform of the current passing through an inductor of resistance 1Ω and inductance 2 H. The energy absorbed by the inductor in the first four seconds is

144

98 J

132 J

168 J

Q#41 Network Basics GATE EE 2003 (Set 1) MCQ +2 marks -0.66 marks

In Figure, the potential difference between points P and Q is

12 V

10 V

−6 V

8 V

Q#42 Network Basics GATE EE 2003 (Set 1) MCQ +2 marks -0.66 marks

In Figure the value of R is

10 Ω

18 Ω

24 Ω

12 Ω

Q#43 Network Basics GATE EE 2002 (Set 1) NAT +2 marks -0 marks

In the resistor network shown in Figure, all resistor values are 1Ω. A current of 1A passes from terminal a to terminal b, as shown in the figure. Calculate the voltage between terminals a and b. [Hint: You may exploit the symmetry of the circuit].

$\\169.254.160.58\Kreatryx\temp\1111.jpg$

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Q#44 Network Basics GATE EE 2001 (Set 1) MCQ +1 mark -0.33 marks

Two incandescent light bulbs of 40W and 60W rating are connected in series across the mains.

Then

The bulbs together consume 100W

The bulbs together consume 50W

The 60W bulb glows brighter

The 40W bulb glows brighter

Q#45 Network Basics GATE EE 2001 (Set 1) MCQ +2 marks -0.66 marks

Consider the star network shown in Figure. The resistance between terminals A and B with C open is 6Ω, between terminals B and C with A open is 11Ω, and between terminals C and A with B open is 9Ω. Then

Q#46 Network Basics GATE EE 1999 (Set 1) MCQ +1 mark -0.33 marks

For the circuit shown in fig. the capacitance measured between terminals B and Y will be

Q#47 Network Basics GATE EE 1999 (Set 1) MCQ +2 marks -0.66 marks

The color code of a 1kΩ resistance is:

black, brown, red

red, brown, brown

brown, black, red

black, black, red

Q#48 Network Basics GATE EE 1999 (Set 1) MCQ +2 marks -0.66 marks

When a resistor R is connected to a current source, it consumes a power of 18W. When the same R is connected to a voltage source having the same magnitude as the current source, the power absorbed by R is 4.5W. The magnitude of the current source and the value of R are

and

3A and

1A and 18Ω

6A and 0.5Ω

Q#49 Network Basics GATE EE 1999 (Set 1) MCQ +2 marks -0.66 marks

Solve the circuit shown in figure using the mesh method of analysis and determine the mesh currents and . Evaluate the power developed in the 10V voltage source.

$C:\Users\Ankit\Dropbox\GATE papers\EE papers\Solutions\network\Network 91-01\Network Images\67.jpg$

$I_1 = 1A $, $ I_2 = 0A $, $ I_3 = -1A $ and $Power \ developed = 5W$

$I_1 =- 1A $, $ I_2 = 1A $, $ I_3 = -1A $ and $Power \ developed = 5W$

$I_1 = 1A $, $ I_2 = 0A $, $ I_3 = 1A $ and $Power \ developed = 10W$

$I_1 =- 1A $, $ I_2 = 0A $, $ I_3 = 1A $ and $Power \ developed = 10W$

Q#50 Network Basics GATE EE 1997 (Set 1) MCQ +1 mark -0.33 marks

An ideal voltage source will charge an ideal capacity

In infinite time

Exponentially

Instantaneously

None of these

Q#51 Network Basics GATE EE 1997 (Set 1) MCQ +1 mark -0.33 marks

A practical current source is usually represented by

Resistance in series with an ideal current source

A resistance in parallel with an ideal current source

A resistance in parallel with an ideal voltage source

None of the above

Q#52 Network Basics GATE EE 1997 (Set 1) MCQ +1 mark -0.33 marks

Energy stored in a capacitor over a cycle, when excited by an a.c. source is

The same as that due to a d.c. source of equivalent magnitude

Half of that due to a d.c. source of equivalent magnitude

Zero

None of the above

Q#53 Network Basics GATE EE 1997 (Set 1) NAT +2 marks -0 marks

For the two port network shown in figure, the admittance matrix is . Then Find
$Y_{11} + Y_{12} + Y_{22} + Y_{21} = ?$

$D:\1Mayu\Gate-9\JPG\JPG\1997\1997\Q_2_1.JPG$

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Q#54 Network Basics GATE EE 1997 (Set 1) NAT +2 marks -0 marks

A 10V battery with an internal resistance of 1Ω is connected across a nonlinear load whose V-I characteristic is given by . The current delivered by the battery is __________ A

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Q#55 Network Basics GATE EE 1997 (Set 1) NAT +2 marks -0 marks

The values of E and I for the circuit shown in figure, are_________V and _________A. Then E+I= ?

$Z:\PY\EE\Redreaw figure\Network\updated\06-08.jpg$

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Q#56 Network Basics GATE EE 1997 (Set 1) MCQ +2 marks -0.66 marks

The voltage and current waveforms for an element are shown in figure. The circuit element is _________And its value is

Inductor and Value = 2H

Capacitor and Value = 2F

Inductor and Value = 4H

Capacitor and Value = 4F

Q#57 Network Basics GATE EE 1996 (Set 1) MCQ +1 mark -0.33 marks

In the circuit shown in figure X is an element which always absorbs power. During a particular operations, it sets up a current of 1 amp in the direction shown and absorbs a power . It is possible that X can absorb the same power for another current i, the value of this current is

5 amps

None of these

Q#58 Network Basics GATE EE 1992 (Set 1) MCQ +1 mark -0.33 marks

All the resistances in figure are each. The value of current ‘I’ is

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