Explore topic-wise MCQs in Network Theory.

This section includes 289 Mcqs, each offering curated multiple-choice questions to sharpen your Network Theory knowledge and support exam preparation. Choose a topic below to get started.

101.

The equation for the waveform shown in the figure in terms of the linear combination of step functions

A. f (t) = 10 u (t 2) 10 u (t 4) 15 u (t 7) + 15 u (t 10)
B. f (t) = 10 u (t 2) 15 u (t 7)
C. f (t) = 10 u (t 2) + 10 u (t 4) 15 u (t 7) + 15 u (t 10)
D. None of the above
Answer» B. f (t) = 10 u (t 2) 15 u (t 7)
102.

The unit step of the ramp is

A. u (t 4) + u (t 3)
B. 2 [u (t 3) u (t 4)]
C. 2 (t 3) {u (t 3) u (t 4)}
D. 2 {u (t 3) u (t 4)}
Answer» D. 2 {u (t 3) u (t 4)}
103.

The waveform shown in a sweep voltage used to defect the beam in a cathode ray oscilloscope. The transform of this function can be written as

A. <table><tr><td rowspan="2">F (s) =</td><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"> -<br></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>e<sup> as</sup> </center></td><td rowspan="2"><br></td></tr><td align="center">as<sup>2</sup> </td><td align="center">s(1 e<sup> as</sup>)</td></table>
B. <table><tr><td rowspan="2">F (s) =</td><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"> -<br></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>e<sup> as</sup> </center></td><td rowspan="2"><br></td></tr><td align="center">as </td><td align="center">s(1 e<sup> as</sup>)</td></table>
C. <table><tr><td rowspan="2">F (s) =</td><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"> -<br></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>e<sup>as</sup> </center></td><td rowspan="2"><br></td></tr><td align="center">as<sup>2</sup> </td><td align="center">s(1 e<sup> as</sup>)</td></table>
D.
E. <table><tr><td rowspan="2">F (s) =</td><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"> -<br></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>e<sup> as</sup> </center></td><td rowspan="2"><br></td></tr><td align="center">as<sup>2</sup> </td><td align="center">s(1 + e<sup> as</sup>)</td></table>
Answer» B. <table><tr><td rowspan="2">F (s) =</td><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"> -<br></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>e<sup> as</sup> </center></td><td rowspan="2"><br></td></tr><td align="center">as </td><td align="center">s(1 e<sup> as</sup>)</td></table>
104.

The Z-parameter representation of the 2-port network shown in the figure is

A. <img src="http://images.interviewmania.com/wp-content/uploads/2019/05/192o1.png%20">
B. <img src="http://images.interviewmania.com/wp-content/uploads/2019/05/192o2.png">
C. <img src="http://images.interviewmania.com/wp-content/uploads/2019/05/192o3.png%20">
D. <img src="http://images.interviewmania.com/wp-content/uploads/2019/05/192o4.png%20">
Answer» B. <img src="http://images.interviewmania.com/wp-content/uploads/2019/05/192o2.png">
105.

The power delivered by the dependent source

A. 864 W
B. 864 W
C. 288 W
D. 288 W
Answer» B. 864 W
106.

Which one of the following impedance values of load will cause maximum power to be transferred to the load for the network shown in the given figure?

A. (2 + j2)
B. (2 j2)
C. j2
D. 2
Answer» E.
107.

For the figure shown below the Norton's equivalent parameter will be

A. 6 , 2 3 amp
B. <table><tr> <td rowspan="2">12 , </td> <td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>4</center></td><td rowspan="2">amp</td></tr><td align="center">3</td></table>
C.
D. 6 , 2 amp
E. 12 , 4 amp
Answer» B. <table><tr> <td rowspan="2">12 , </td> <td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>4</center></td><td rowspan="2">amp</td></tr><td align="center">3</td></table>
108.

The value of the resistance R in the circuit shown in the given figure is varied in such a manner that the power dissipated in 5 resistor is maximum. Under this condition, the value of R will be

A. 20
B. <table><tr> <td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>40</center></td><td rowspan="2"> </td><td rowspan="2"> </td></tr><td align="center">3</td></table>
C.
D. 30
Answer» C.
109.

Calculate the Thevenin resistance for the circuit shown below between A and B

A. 10
B. 12
C. 20
D. 18
Answer» C. 20
110.

If L {f (t)} =
s2 + 2

A. cannot be determined
B. Zero
C. 1
D.
Answer» B. Zero
111.

Switch S in position (a) for a long time and moves to be at t = 0. The value of V

A. 12 V, 8 V
B. 12 V, 8 V
C. 4 V, 8 V
D. 4 V, 8 V
Answer» B. 12 V, 8 V
112.

For the circuit shown below current to through the inductor is given by the relation

A. 5 amp.
B. (1.1 1) + 1
C. (1.1 1) + 1
D. None of these
Answer» E.
113.

Which one statement is correct for the circuit given below?

A. Output in stable
B. Output in unstable
C. Cannot be calculated from the given data
D. None of these
Answer» C. Cannot be calculated from the given data
114.

Given i

A. 200 V
B. 100 V
C. 0 V
D. 100 V
Answer» C. 0 V
115.

The rms value of the current in the a.c. circuit as shown below in the figure will be

A. 2 A
B. 4 A
C. 5 A
D. 8 A
Answer» C. 5 A
116.

The value of Thevenin resistance for the given figure shown below between A and B will be

A. 10
B. 20
C. 15
D. 0
Answer» E.
117.

What will be the value of R

A. 2 R
B. <table><tr> <td rowspan="2"></td> <td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>R</center></td><td rowspan="2">(1 J) </td></tr><td align="center">2</td></table>
C. <table><tr> <td rowspan="2"></td> <td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>R</center></td><td rowspan="2">(J 1) </td></tr><td align="center">2</td></table>
D. R
Answer» E.
118.

A Network is said to be linear if and only if

A. the response is proportional to the excitation function
B. the principle of superposition applies
C. the principle of homogeneity applied
D. Both (B) and (C)
Answer» E.
119.

The value of R required for maximum power transfer in the network shown below is

A. 50
B. 20
C. 30
D. 25
Answer» C. 30
120.

The time constant of the network shown in the figure is

A. 2 RC
B. RC
C. <table><tr> <td rowspan="2"></td> <td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>CR</center></td><td rowspan="2"> </td></tr><td align="center">4</td></table>
D. <table><tr> <td rowspan="2"></td> <td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>CR</center></td><td rowspan="2"> </td></tr><td align="center">2</td></table>
Answer» B. RC
121.

The value of current I flowing in 5 resistor in the figure, is

A. 10 amp
B. 2 amp
C. 5 amp
D. 7 amp
Answer» C. 5 amp
122.

The Y

A. <table><tr><td rowspan="2">Y<sub>11</sub> =</td><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> 1</center></td><td rowspan="2">+<br></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2">+ <br></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>3</center></td><td rowspan="2">+ 6 s<br></td></tr><td align="center">2</td><td align="center">5</td><td align="center">5s</td></table>
B. <table><tr><td rowspan="2">Y<sub>11</sub> =</td><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> 1</center></td><td rowspan="2">+<br></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2">+ <br></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2">+ 6 s<br></td></tr><td align="center">3</td><td align="center">5</td><td align="center">5s</td></table>
C.
D. <table><tr><td rowspan="2">Y<sub>11</sub> =</td><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> 1</center></td><td rowspan="2">+<br></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2">+ <br></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2">+ 6 s<br></td></tr><td align="center">2</td><td align="center">5s</td><td align="center">5</td></table>
E. <table><tr><td rowspan="2">Y<sub>11</sub> = </td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/aptitude/1-sym-oparen-h1.gif"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;">1</td><td rowspan="2"> + 6s</td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-cparen-h1.gif"> </td></tr><tr><td style="text-align: center;">5</td></tr></table>
Answer» B. <table><tr><td rowspan="2">Y<sub>11</sub> =</td><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> 1</center></td><td rowspan="2">+<br></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2">+ <br></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2">+ 6 s<br></td></tr><td align="center">3</td><td align="center">5</td><td align="center">5s</td></table>
123.

What will be the value of
dVC
for given figure?
dt

A. 3 V/sec
B. 2 V/sec
C. 3 V/sec
D. 2 V/sec
Answer» B. 2 V/sec
124.

What will b e the value of
diL
for given figure?
dt

A. H/sec
B. 1 H/sec
C. 2 H/sec
D. 2 H/sec
Answer» C. 2 H/sec
125.

What will be the voltage across the capacitor at t = 0

A. 2 V
B. 2 V
C. 4 V
D. 1 V
Answer» C. 4 V
126.

Switch S in position (1) for long time and moved to position (2) at t = 0 sec. obtain at t = 0

A. 3 amp
B. 6 amp
C. 2 amp
D. 5 amp
Answer» B. 6 amp
127.

Consider the network graph shown in figure. Which one of the following is 'not' a tree of this graph?

A. <img src="http://images.interviewmania.com/wp-content/uploads/2019/05/40oa.png%20">
B. <img src="http://images.interviewmania.com/wp-content/uploads/2019/05/40ob.png%20">
C. <img src="http://images.interviewmania.com/wp-content/uploads/2019/05/40oc.png%20">
D. <img src="http://images.interviewmania.com/wp-content/uploads/2019/05/40od.png%20">
Answer» C. <img src="http://images.interviewmania.com/wp-content/uploads/2019/05/40oc.png%20">
128.

For a given network, the number of independent mesh equations (m) and the number of independent node equations (n) are related as follows (A) (B) (C) (D)

A. m > n always
B. m < n always
C. m = n always
D. m or < n depending upon the form of the network.
Answer» E.
129.

For the given graphs shown below which one is nonplanar graph?

A. (i) only
B. (i) and (ii)
C. (ii) only
D. (iii) only
Answer» E.
130.

For the above figure what is the maximum number of branches you may add before the resulting structure becomes nonplanar?

A. 4
B. 5
C. 6
D. None of these
Answer» C. 6
131.

For the graph shown below. Find the minimum number of branches that may be added to make the resulting structure non-planar

A. 2
B. 3
C. 4
D. None of these
Answer» C. 4
132.

The graph of a network has six branches with three tree branches. The minimum number of equations required for the solution of the network is

A. 2
B. 3
C. 4
D. 5
Answer» C. 4
133.

A planar graph has 4 nodes and 5 branches the number of meshes in dual graph is

A. 5
B. 4
C. 3
D. 2
Answer» D. 2
134.

Steady state is reached for the circuit. VC as marked in the circuit is

A. 0
B. 4
C. 5
D. <table><tr> <td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>10 </center></td><td rowspan="2"></td></tr><td align="center">3</td></table>
Answer» C. 5
135.

The Laplace transform of the function f (t) = e

A. <table><tr><td rowspan="2"></td><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> 1</center></td><td rowspan="2"> +<br></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>e<sup> 4s</sup> </center></td><td rowspan="2">e<sup> t</sup> <br></td></tr><td align="center">s<sup>2</sup></td><td align="center">2s</td></table>
B. <table><tr> <td rowspan="2"></td> <td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>e<sup> 4s2</sup></center></td><td rowspan="2"></td></tr><td align="center">s<sup>3</sup> </td></table>
C. <table><tr> <td rowspan="2"></td> <td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>e<sup> 4s</sup></center></td><td rowspan="2"></td></tr><td align="center">s<sup>3</sup> </td></table>
D. does not exist
Answer» E.
136.

The natural frequency S

A. 1
B. -1
C. <table><tr> <td rowspan="2">-</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1 </center></td><td rowspan="2"></td></tr><td align="center">2</td></table>
D. 2
Answer» C. <table><tr> <td rowspan="2">-</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1 </center></td><td rowspan="2"></td></tr><td align="center">2</td></table>
137.

In the figure below, the voltage across the 18 ohm resistor is 90 volts. What is the total voltage across the combined circuit at terminal E and F?

A. 125 V
B. 16 V
C. 24 V
D. 40 V
Answer» B. 16 V
138.

A network has 7 nodes and 5 independent loops. The number of branches in the network is

A. 13
B. 12
C. 11
D. 10
Answer» D. 10
139.

Given H (s) =
X
=
s + 1
. x (t) = cos t 0 . The phasor Y is given by
Ys2 + s + 1

A. 2 45
B. <table><tr> <td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> 1</center></td><td rowspan="2"> 45 </td></tr><td align="center">2</td></table>
C.
D. 1 0
E. <table><tr> <td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> 2</center></td><td rowspan="2"> tan<sup> 1</sup> 1 tan<sup> 1</sup> 2 </td></tr><td align="center">5</td></table>
Answer» C.
140.

If the number of branches in a network is B, the number of nodes is N and the number of dependent loop is L, then the number of independent node equations will be

A. N + L 1
B. B 1
C. N 1
D. B N
Answer» D. B N
141.

S is in position (a) for a long time. S moved to position (b) at t = 0 , At t = 0

A. 5, 0
B. 5, 0
C. 0, 4
D. 2, 3
Answer» B. 5, 0
142.

S is open, V

A. 0, 6
B. 2, 0
C. 1, 3
D. 0, 3
Answer» E.
143.

A voltage has a value of V = 180 cos (t + 12 ) and current i = 2.5 cos (t + 5 ) the power factor of the circuit is

A. 0.978
B. 0.996
C. 0.993 lead
D. 0.993 lag
Answer» E.
144.

The Laplace transforms of the functions tu(t) and u (t) sin t are respectively

A. <table><tr><td rowspan="2"> </td><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> 1</center></td><td rowspan="2">,<br></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>s</center></td><td rowspan="2"><br></td></tr><td align="center">s</td><td align="center">s<sup>2</sup> + 1 </td></table>
B. <table><tr><td rowspan="2"> </td><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> 1</center></td><td rowspan="2">,<br></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"><br></td></tr><td align="center">s</td><td align="center">s<sup>2</sup> + 1 </td></table>
C.
D. <table><tr><td rowspan="2"> </td><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> 1</center></td><td rowspan="2">,<br></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"><br></td></tr><td align="center">s<sup>2</sup></td><td align="center">s<sup>2</sup> + 1 </td></table>
E. <table><tr> <td rowspan="2">s, </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> 5</center> </td></tr><td align="center">s<sup>2</sup> + 1 </td></table>
Answer» D. <table><tr><td rowspan="2"> </td><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> 1</center></td><td rowspan="2">,<br></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"><br></td></tr><td align="center">s<sup>2</sup></td><td align="center">s<sup>2</sup> + 1 </td></table>
145.

A long uniform coil of inductance 2L and associated resistance 2R ohms is physically cut into two exact halves which are rewound in parallel. The resistance and inductance of the combination are

A. R and L
B. 2R and 2L
C. <table><tr><td rowspan="2"> </td><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> R</center></td><td rowspan="2">and<br></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>L</center></td><td rowspan="2"><br></td></tr><td align="center">2</td><td align="center">2</td></table>
D.
E. <table><tr><td rowspan="2"> </td><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> R</center></td><td rowspan="2">and<br></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>L</center></td><td rowspan="2"><br></td></tr><td align="center">4</td><td align="center">4</td></table>
Answer» D.
146.

The Thevenin equivalent of the following network between A and B is

A. <img src="http://images.interviewmania.com/wp-content/uploads/2019/05/86o1.png%20">
B. <img src="http://images.interviewmania.com/wp-content/uploads/2019/05/86o2.png%20">
C. <img src="http://images.interviewmania.com/wp-content/uploads/2019/05/86o3.png%20">
D. <img src="http://images.interviewmania.com/wp-content/uploads/2019/05/86o4.png%20">
Answer» B. <img src="http://images.interviewmania.com/wp-content/uploads/2019/05/86o2.png%20">
147.

The voltmeter in the shown circuit is ideal. The transformer has identical windings with perfect coupling. The voltmeter reads

A. 110 V
B. 220 V
C. 440 V
D. 0 V
Answer» E.
148.

The capacitor C

A. 8 V
B. 10 V
C. 12 V
D. 15 V
Answer» B. 10 V
149.

A capacitor is charged by a square wave current source, the voltage across the capacitor is

A. a square wave
B. a triangular wave
C. a step function
D. zero
Answer» C. a step function
150.

The time constant of the circuit

A. <table><tr> <td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> 60</center> </td><td rowspan="2">C </td></tr><td align="center">5</td></table>
B.
C. 15 C
D. 25 C
E. None of these
Answer» C. 15 C