IES - Electronics Engineering - Network Theory
IES - Electronics Engineering - Network Theory
IES - Electronics Engineering - Network Theory
com
MCQ 1
MCQ 2
MCQ 3
MCQ 4
MCQ 5
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Network Theory
MCQ 6
In the circuit shown in the fig. if R 0 is adjusted such that VAB = VBC
, then
2 VBD
(A) θ = 2 tan−1 f p (B) VBC = VDC
V
VBD
(C) VAB = VAD (D) θ = tan−1 f p
V
MCQ 7
In the circuit shown in the fig. if the current in resistance 'R' in Nil,
then
MCQ 8
The resistance 'R' looking into the terminals AB in the circuit shown
in the fig. will be
MCQ 9
Consider the following statements for a 2-port network :
1. Z11 = Z22 2. h12 = h21
3. Y12 =− Y21 4. BC − AD =− 1
The network is reciprocal if and only if
(A) 1 and 2 are correct (B) 2 and 3 are correct
(C) 3 and 4 are correct (D) 4 alone is correct
MCQ 10
If the π-network of Fig.-I and T-network of Fig. II are equivalent,
then the values of R1, R2 and R 3 will be respectively
MCQ 11
MCQ 12
On closing switch 'S ' , the circuit in the given fig. is in steady-state.
The current in the inductor after opening the switch 'S ' will
MCQ 13
In the circuit shown in the fig. i (t) is a unit step current. The steady-
state value of v (t) is
MCQ 14
The given fig. shows the pole-zero pattern of a filter in the s-plane.
The filter is a
MCQ 15
2s + 1 s +1
s + 2s2 + s + 1
3
s +1
MCQ 16
the lists :
List I List II
A. LC 1. Negative real
B. RC 2. Imaginary
C. RLC 3. Either real or complex
D. RL
Codes :
A B C D
(A) 1 2 3 1
(B) 1 2 1 3
(C) 2 1 1 3
(D) 2 1 3 1
MCQ 17
(A) 30 Ω (B) 16 Ω
MCQ 18
In the circuit shown in the fig, for R = 20 Ω the current 'I ' is 2 A.
When R is 10 Ω, the current 'I ' would be
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Network Theory
(A) 1 A (B) 2 A
(C) 1.5 A (D) 3 A
MCQ 19
The average value of the periodic function v (t) of the given fig. is
V cos φ V sin φ
(A) (B)
π π
2V cos φ
(C) (D) V
π π
MCQ 20
For the circuit shown in the fig. the current 'I ' is
(C) 4 A (D) 8 A
MCQ 21
MCQ 22
MCQ 23
Y (s) = s 2+ 2.5s + 1
2
s + 4s + 3
1. It is an admittance of RL network.
2. Poles and zeroes alternate on the negative real axis of the s-plane.
3. The lowest critical frequency is a pole.
4. Y (0) = 1/3
MCQ 24
MCQ 25
Match List I (Form) with List II (Networks) and select the correct
answer using the codes given below the lists :
List I List II
A. Causer I 1. L in series arms and C in shunt arms
of a ladder
B. Causer II 2. C in series arms and L in shunt arms
of a ladder
C. Foster I 3. Series combination of L and C in
parallel
D. Foster II 4. Parallel combination of L and C in
series
Codes :
A B C D
(A) 1 2 3 4
(B) 1 2 4 3
(C) 2 1 4 3
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Network Theory
(D) 2 1 3 4
MCQ 26
MCQ 27
For the circuit shown in the fig. the order of the differential equation
relating V0 and Vi will be
(A) 4 (B) 3
(C) 2 (D) 1
MCQ 28
Which of these sets of E, R and C values will ensure that the state
equation, dvc /dt =− 1.25vc + 2 is valid ?
(A) 1 and 4 (B) 1 and 2
(C) 3 and 4 (D) 2 and 3
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Network Theory
MCQ 29
The ratio of available power from the dc component of a full-wave
rectified sinusoid to the available power of the rectified sinusoid is
(A) 8/π (B) 2
(C) 4/π (D) 8/π2
YEAR 2000
MCQ 30
Two coils have self-inductances of 0.09 H and 0.01 H and a mutual
inductance of 0.015 H. The coefficient of coupling between the coils is
(A) 0.06 (B) 0.5
(C) 1.0 (D) 0.05
MCQ 31
A series LCR circuit with
R = 10 Ω, XL = 20 Ω and XC = 10 Ω is connected across an AC
supply of 200 Vrms . The rms voltage across the capacitor is
(A) 200+ − 90c V (B) 200+90c V
(C) 400+90c V (D) 400+ − 90c V
MCQ 32
An inductor tunes at 200 kHz with 624 pF capacitor and at 600 kHz
with 60.4 pF capacitor. The self-capacitance of the inductor would be
(A) 8.05 pF (B) 10.05 pF
(C) 16.10 pF (D) 20.10 pF
MCQ 33
Assertion (A) : The functions given by
Ks (s2 + 2) (s2 + 10)
Z (s) =
(s2 + 1) (s2 + 6)
represent an L-C driving point impedance function.
Reason (R) : Poles and zeroes interlace on the imaginary axis of the
complex s-plane.
(A) Both A and R are true and R is the correct explanation of A
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Network Theory
(B) Both A and R are true but R is NOT the correct explanation of
A
(C) A is true but R is false
(D) A is false but R is true
MCQ 34
MCQ 35
In the circuit shown in the fig. below, the power consumed in the
resistance R is measured when one source is acting at a time, these
values are 18 W, 50 W and 98 W. When all the sources are acting
simultaneously, the possible maximum and minimum values of power
in R will be
MCQ 36
MCQ 37
Consider the following statements :
1. Tellegen’s theorem is applicable to any lumped network.
2. The reciprocity theorem is applicable to linear bilateral networks.
3. Thevenin’s theorem is applicable to two-terminal linear active
networks
4. Norton’s theorem is applicable to two terminal linear active
networks
Which of these statements are correct ?
(A) 1, 2 and 3 (B) 1, 2, 3 and 4
(C) 1, 2 and 4 (D) 3 and 4
MCQ 38
Which one of the following theorems can be conveniently used to
calculate the power consumed by the 10 Ω resistor in the network
shown in the below ?
MCQ 39
Which one of the following is a cut of the graph shown in the fig.
below ?
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Network Theory
MCQ 40
MCQ 41
In the circuit shown in the fig. below the current supplied by the
sinusoidal current source I is
(A) 28 A (B) 4 A
(C) 20 A
(D) not determinable from the data given
MCQ 42
MCQ 43
MCQ 44
MCQ 45
MCQ 46
(A) 12 Ω (B) 13 Ω
13 12
(C) 3 Ω (D) 4 Ω
MCQ 47
The impedance matrices of two, two-part networks are given by
3 2 15 5
>2 3H and > 5 25H
If these two networks are connected in series, the impedance matrix
of the resulting two-port network will be
3 5 18 7
(A) > H (B) >
2 25 7 28H
15 2
(C) >
5 3H
(D) indeterminate
MCQ 48
In the circuit shown in the fig. below, switch K is closed at t = 0 .
The circuit was initially relaxed. Which one of the following sources
of v (t) will produce maximum current at t = 0 + ?
MCQ 49
In the circuit shown in the fig. below, steady-state was reached when
the switch S was open. The switch was closed at t = 0 . The initial of
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Network Theory
MCQ 50
(A) 1 H (B) 2 H
(C) 3 H (D) 4 H
MCQ 51
MCQ 52
(A) 40 V (B) 30 V
(C) 20 V (D) 10 V
MCQ 53
MCQ 54
MCQ 55
The circuit shown in the fig. below will act as an ideal current source
with respect to terminals A and B, when frequency is
MCQ 56
MCQ 57
3 (s2 + 6s + 8)
s2 + 4s + 3
YEAR 2001
MCQ 58
For the equivalent @ fig. circuit shown in the given fig. the values of
RAB and RBC are respectively
MCQ 59
For the circuit shown in the give fig. when the switch is at position A,
the current i (t) = sin (ωt + 30c) A when switch is moved to position
B at time t = 0 , the power dissipated at the switching instant in the
resistor R remains unchanged
MCQ 60
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Network Theory
In the circuit shown in the given fig. the value of i (0+) and I (3) will
be, respectively
MCQ 61
MCQ 62
The circuit shown in the given fig. is in the steady state with switch
S closed
MCQ 63
A resistor R of 1 Ω and two inductors L1 and L2 of inductances 1 H
and 2 H, respectively, are connected in parallel.
At some time, the currents through L1 and L2 and 1 A and 2 A
respectively. The current through R at time t = 3 will be
(A) zero (B) 1 A
(C) 2 A (D) 3 A
MCQ 64
A unit step current is applied to a network consisting of only passive
elements. The voltage across the current source observed is
v (t) = (1 + e−t/τ). The simplest possible network will consist of the
elements
(A) 1 resistor and 2 capacitors (B) 1 resistor and 2 inductors
(C) 2 resistors and 1 capacitor (D) 2 resistors and 1 inductor
MCQ 65
If the numerator of a second-order transfer function F(s) is a constant,
then the filter is a
(A) band-pass filter (B) band-stop filter
(C) high-pass filter (D) low-pass filter
MCQ 66
The pole-zero pattern shown in the given fig. is for
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Network Theory
MCQ 67
MCQ 68
s (s2 + 1)
Driving point impedance Z (s) = 2 is not realizable because
s +4
the
(A) number of zeros is more than the number of poles
(B) poles and zeros lie on the imaginary axis
(C) poles and zeros do not alternate on imaginary axis
(D) poles and zeros are not located on the real axis
MCQ 69
MCQ 70
MCQ 71
it.
Reason (R) : At resonance, the power factor of the circuit is zero.
(A) Both A and R are true and R is the correct explanation of A
(B) Both A and R are true but R is NOT the correct explanation of
A
(C) A is true but R is false
(D) A is false but R is true
MCQ 72
MCQ 73
(A) 2 A (B) 5 A
(C) 7 A (D) 8 A
MCQ 74
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Network Theory
MCQ 75
Match List I with List II for the co-tree branches 1, 2, 3 and 8 of the
graph shown in the given figure and select the correct answer using
the codes given below the lists :
List I List II
A. Twigs 1. 4, 5, 6, 7
B. Links 2. 1, 2, 3, 8
C. Fundamental cutset 3. 1, 2, 3, 4
D. Fundamental loop 4. 6, 7, 8
Codes :
A B C D
(A) 1 2 3 4
(B) 3 2 1 4
(C) 1 4 3 2
(D) 3 4 1 2
MCQ 76
MCQ 77
YEAR 2002
MCQ 78
MCQ 79
MCQ 80
with reference to the above graph, match List I with List II and select
the correct answer using the codes given below the lists :
List I
A. Fundamental circuit of chord 6’
B. Fundamental circuit of chord 7’
C. Fundamental circuit of chord 8’
List II
1. The edge set (1’, 2’, 4’, 6’)
2. The edge set (2’, 4’, 5’, 7’)
3. The edge set (2’, 3’, 5’, 8’)
4. The edge set (1’, 2’, 4’, 7’)
5. The edge set cannot be determined
Codes :
A B C
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Network Theory
(A) 1 2 3
(B) 4 3 2
(C) 2 3 4
(D) 2 5 3
MCQ 81
In the graph shown in the fig. one possible tree is formed by the
branches
MCQ 82
Which one of the following statements is not a property of R-L
driving point impedance ?
(A) The first critical frequency at the origin is a zero
(B) The last critical frequency is a pole
(C) The impedance at S = 3 is always less than the impedance at
S =zero
(D) The slope of the impedance curve is positive at all points
MCQ 83
In a network containing resistance and reactance the roots of the
characteristic equation give for the circuit
(A) the force response (B) the total response
(C) the natural response (D) the damped response
MCQ 84
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Network Theory
MCQ 85
MCQ 86
The time constant of the circuit after the switch shown in the fig. is
opened is
MCQ 87
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Network Theory
List I
A. A series RLC circuit is overdamped when
B. The unit of the real part of the complex frequency is
C. If F (s) is the Laplace transform of f (t) then F ^s h and f (t) are
known as
D. If f (t) and its first derivative are Laplace transferable then the
initial value of f (t) is given by
List II
1. f (t) = sF (s) lim t " 0 lim s " 3
2. R2 /4L 2 < 1/LC
3. rad/s
4. inverse functions
5. R2 /4L 2 > 1/LC
6. neper sec−1
7 f (t) = sF (s) lim t " 0 lim s " 0
8. transform pairs
Codes :
A B C D
(A) 5 6 8 1
(B) 5 6 1 8
(C) 6 5 3 4
(D) 6 5 2 7
MCQ 88
MCQ 89
MCQ 90
MCQ 91
MCQ 92
In the circuit given above, viewed from AB, the circuit can be reduced
to an equivalent circuit as
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Network Theory
MCQ 93
MCQ 94
MCQ 95
These are four types of controlled sources, namely VCVS, VCCS,
CCCS, CCVS. It is required to select a proper controlled source
configuration for interfacing the output of a high-impedance
microphone to a low impedance loudspeaker. The proper source will
be
(A) VCVS (Voltage Controlled Voltage Source)
(B) VCCS (Voltage Controlled Current Source)
(C) CCCS (Current Controlled Current Source)
(D) CCVS (Current Controlled Voltage Source)
YEAR 2003
MCQ 96
Which one of the following is the state-space model of the circuit
shown above ?
R 1 VW
x1 (t) S 0 0
>x (t)H + > 1 Hu (t), y (t) = 80 1B>x (t)H
L W x1 (t) x1 (t)
(A) >
x2 (t)H S− 1
=S
S C 0 WW 2 C 2
T X
xo1 (t) 0 1 x1 (t)
(B) > o H = >− 1 − 1 H>x2 (t)H + >1H u (t), y (t) = 80 1B>x2 (t)H
0 x1 (t)
x2 (t) C L
R 1 VW
x1 (t) S 0
o L W x1 (t) 1 x1 (t)
(C) > o H = S 1 >x (t)H + >0H u (t), y (t) = 80 1B>x (t)H
x2 (t) S− 0 WW 2 2
S C
RT X
1 VW
xo1 (t) S 0 L W x1 (t) 0 x1 (t)
(D) > o H = S 1 >x (t)H + >1H u (t), y (t) = 80 1B>x (t)H
x2 (t) S− 0 WW 2 2
S C
T X
MCQ 97
With the conventional notation X = AX + Bu for the state
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Network Theory
MCQ 98
Which one of the following is NOT is correct statement about the
state-space model of a physical system ?
(A) State-space model can be obtained only for a linear system
(B) Eigen values of the system represent the roots of the characteristics
equation
(C) X = AX + Bu represents linear state-space model of a physical
system
(D) X (t) represents the state vector of the system
MCQ 99
In the circuit shown above, the voltage across 2 Ω resistor is 20 V.
The 5 Ω resistor connected between the terminals A and B can be
replaced by an ideal
MCQ 100
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Network Theory
The current flowing through the voltage source in the above circuit is
MCQ 101
The number of edges in a complete graph of n vertices is 5
n (n − 1)
(A) n (n − 1) (B)
2
(C) n (D) n − 1
MCQ 102
In the circuit below, if I1 = I2 = 10 A
MCQ 103
A two port network is reciprocal, if and only if
(A) Z11 = Z22 (B) BC − AD =− 1
(C) Y12 = Y21 (D) h12 = h21
MCQ 104
In the circuit shown below, the switch is closed at t = 0 . The current
through the capacitor will decrease exponentially with a time constant.
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Network Theory
MCQ 105
In the circuit shown below, the switch is moved from position A to
B at time t = 0 . The current i through the inductor satisfies the
following conditions.
1. i (0) =− 8 A
2. di/dt (t = 0) = 3 A/s
3. i (3) = 4 A
The value of R is
(A) 0.5 ohm (B) 2.0 ohm
(C) 4.0 ohm (D) 12 ohm
MCQ 106
In a circuit the voltage across an element is v (t) = 10 (t − 0.01) e−100t V
The circuit is
(A) Undamped (B) Underdamped
(C) Critically damped (D) Overdamped
MCQ 107
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Network Theory
(A) 1 - 2 - 3 - 4 (B) 4 - 1 - 1 2 - 3
(C) 4 - 3 - 1 - 2 (D) 4 - 3 - 2 - 1
MCQ 108
An iron-cored choke of large inductance is connected to a d.c. supply
as shown in the circuit below. A capacitor C is also connected across
the switch. The role of C is to also connected across the switch. The
role of C is to
MCQ 109
Bartlett’s bisection theorem hold for which one of the following
terminal networks ?
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Network Theory
MCQ 110
Match List I with List II and select the correct answer using the
codes given below the lists :
List I
A. Internal impedance of an ideal current source is
B. For attenuated natural oscillations, the poles of the transfer
function must lie on the
C. A battery with an e.m.f. E and internal resistance R delivers
current to a load RL . Maximum power transferred is
D. The roots of the characteristics equation give
List II
1. Forced response of the circuit
2. Natural response of the circuit
3. E 2 /4 R
4. E 2 /2 R
5. Left hand part of the complex frequency plane
6. Right hand part of the complex frequency plane
7 Infinite
8. Zero
Codes :
A B C D
(A) 7 6 3 1
(B) 8 5 4 2
(C) 8 6 4 1
(D) 7 5 3 2
MCQ 111
(A) C = L/R2 R 3, R1 = R2 R 3 /R 4
(B) C = L/R 3 R 4, R1 = R 4 R2 /R 3
(C) C = LR2 /R 3, R1 = R 3 R2 /R 4
(D) C = LR 3 /R2, R1 = R 3 /R2 R 4
MCQ 112
MCQ 113
Match List I (Quantities) with List II (Units) and select the correct
answer :
List I List II
A. R/L 1. Second
B. 1/LC 2. Ohm
C. CR 3. (Radian/Second) 2
D. L/C 4. (Second) −1
Codes :
A B C D
(A) 4 3 1 2
(B) 3 4 2 1
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Network Theory
(C) 4 3 2 1
(D) 3 4 1 2
MCQ 114
MCQ 115
MCQ 116
MCQ 117
Reason (R) : Series resonance does not implying unity power factor
condition.
(A) Both A and R are true and R is the correct explanation of A
(B) Both A and R are true but R is NOT the correct explanation of
A
MCQ 118
(B) Both A and R are true but R is NOT the correct explanation of
A
YEAR 2004
MCQ 119
For the above circuit, which one of the following statements is correct
? The voltage V0 is independent of R, if the input signal frequency ω.
(A) is 1/ LC (B) is 1/ [2 LC ]
(C) is LC (D) has any value
MCQ 120
For what value of ω, the circuit shown above exhibits unity power
factor ?
(A) 1 (B) 1
LC [ LC + R 2 C 2 ]
(C) 1 (D) 1
[ LC − R 2 C 2 ] RC
MCQ 121
MCQ 122
MCQ 123
The input voltage V1 and current I1 for linear passive network is given
by V1 = AV2 + BI2 and I1 = CV2 + DIz
Now consider the following network :
A B
Which one of the following is the transfer matrix >
C DH
of the network
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Network Theory
shown above ?
1 0 0 10
(A) >
0 10H
(B) >
1 0H
0 1 0 10
(C) >
10 0H
(D) >
1 0H
MCQ 124
MCQ 125
(C) RC (D) S
[1 + RCS ] [1 + RCS ]
MCQ 126
MCQ 127
MCQ 128
The driving point impedance of a reactive network has poles at ω = 0
,40 rad/s and infinity. Zeros are located at ω = 20 and 60 rad/s. The
impedance at 10 rad/s is − j70 Ω . Which one of the following gives
the form of the first foster network of the driving point impedance
function ?
(A) An inductor L1 , a parallel combination of an inductor L2 and a
capacitor C2 ; and a capacitor C 3 all in series
(B) Two parallel combination inductors and capacitors in series
(C) Two series combination of inductors and capacitors connected in
parallel
(D) None of the above
MCQ 129
The 2-port network shown in the circuit given below is connected in
parallel with another 2-port network which has y11 = y22 =− y22 =− y22
=− y21 = Y
MCQ 130
Which one of the following statements is correct ?
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Network Theory
MCQ 131
What is the locus of the tip of the voltage phasor across R in a series
RLC circuit ?
(A) A parabola (B) An ellipse
(C) A circle (D) A rectangular hyperbola
MCQ 132
MCQ 133
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Network Theory
MCQ 134
MCQ 135
(C) C 1 + Gv = 0 (D) C dv − Gv = 0
dt dt
MCQ 136
MCQ 137
YEAR 2005
MCQ 138
What is the expression for h12 in respect of the network shown below
?
(A) z2 − z1 (B) z1 + z2
z1 + z 2 z 2 − z1
(C) z1 + z2 (D) z1 − z2
z1 − z 2 z1 + z 2
MCQ 139
MCQ 140
MCQ 141
Match List I (y -parameter) with List II (Value) and select the correct
answer using the code given below the lists :
List I List II
A. y11 1. s+1
B. y12 2. −1
C. y22 + y21 3. 1 + 1/s
D. y22 4. s
Codes :
A B C D
(A) 3 2 4 1
(B) 1 4 2 3
(C) 3 4 2 1
(D) 1 2 4 3
MCQ 142
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Network Theory
MCQ 143
MCQ 144
1. 5 A and 2 Ω 2. 10 A and 1 Ω
3. 15 A and 1/2 Ω 4. 30 A and 1/5 Ω
Which of the following statements given above is/are correct ?
(A) 1 only (B) 2, 3 and 4
(C) 1, 2, 3 and 4 (D) 2 and 3
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Network Theory
MCQ 145
For the circuit given below, what is the expression for the voltage V ?
(A) v1 + vc (B) vc
(C) RC dvc − vc (D) RC dvc + vc
dt dt
MCQ 146
Consider the following properties of a particular network theorem :
1. The theorem is not concerned with type of elements.
2. The theorem is only based on the two Kirchoff’s laws.
3. The reference directions of the branch voltage and currents are
arbitrary except that they have to satisfy Kirchoff’s laws.
Which one of the following theorems has the above characteristics ?
(A) Thevenin’s theorem (B) Norton’s theorem
(C) Tellegen’s theorem (D) Superposition theorem
MCQ 147
For a network of 11 branches and 6 nodes, what is the number of
independent loops ?
(A) 4 (B) 5
(C) 6 (D) 11
MCQ 148
Which one of the following statements is not correct ?
(A) A tree contains all the vertices of its graph
(B) A circuit contains all the vertices of its graph
(C) The number of f -circuits is the same as the number of chords
(D) There are at least two edges in a circuit.
MCQ 149
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Network Theory
MCQ 150
MCQ 151
MCQ 152
In a series RLC circuit, the locus of the tip of the admittance phasor
in the complex phane as the frequency is varied, is :
(A) A semicircle in the upper half of the G-B plane having the centre
at (1/R, 0) and radius 1/R
(B) A circle in the upper half of the G-B plane having the centre at
{1/(2R), 0} and radius 1/(2R)
(C) A semicircle in the bottom half of the G-B plane having the
centre at {− 1/ (2R), 0 } and radius 1/(2R)
(D) A semicircle in the upper half of the G-B plane having the centre
at (− 1/R, 0) and radius 1/R
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Network Theory
MCQ 153
Which one of the following statements is not correct for the circuit
shown below at resonant frequency ?
MCQ 154
(C) R = C (D) R = L
L C
MCQ 155
MCQ 156
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Network Theory
YEAR 2006
MCQ 157
Which of the following theorems can be applied to any network-linear
or non-linear, active or passive, time-variant or time-invariant ?
(A) Thevenin’s theorem
(B) Norton theorem
(C) Tellegen theorem
(D) Superposition theorem
MCQ 158
The circuit shown below is under steady-state condition with switch
closed. The switch is opened at t = 0 . What is the time constant of
the circuit ?
MCQ 159
If the two circuits shown below are equivalent, then which of the
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Network Theory
1. E = 2 V, R = 5 Ω 2. E = 4 V, R = 4 Ω
3. E = 6 V, R = 3 Ω 4. E = 10 V, R = 1 Ω
Select the correct using the code given below :
(A) Only 1 and 2 (B) Only 3
(C) 1, 2, 3 and 4 (D) None
MCQ 160
For the network in the figure given below, what is the value of z (s) ?
(A) s + 2s + 2 s+2
2
(B)
s+1 (s + 1) 2
s+1 (s + 1) 2
(C) (D)
s + 2s + 2
2
(s + 2)
MCQ 161
MCQ 162
Which one of the following is the transmission matrix for the network
shown in the figure below ?
1 1 + yz 1 + yz z
(A) >
z H
(B) >
y y 1H
1 z 1 1 + yz
(C) >
y 1 + yz H
(D) >
z y H
MCQ 163
What is the value of the parameter h12 for the 2-port network shown
in the figure given below ?
MCQ 164
I1 = 5V1 − V2
I2 =− V1 + V2
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Network Theory
MCQ 165
For the network graph shown in the fig. given below, which one of the
following is not a tree ?
MCQ 166
R 2 + b ωL − 1 l
2
(C) R + jωL − G (D)
ωC ωC
MCQ 167
Which of the following are the conditions for a two port passive
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Network Theory
MCQ 168
What is the open circuit impedance Z11 (s) of the network shown in
the fig. given below ?
MCQ 169
MCQ 170
What is the total number of trees for the graph shown below ?
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(A) 4 (B) 8
(C) 12 (D) 16
MCQ 171
A network with independent sources and resistors shown below in
fig. (a) has a Thevenin voltage VT and the Thevenin resistance RT .
What are the Norton equivalent current IN and resistance RN in the
fig. (b) ?
(A) VT , RT RL (B) VT , RN = RT
RT + RL
b RT + RL l
RT RL RT
MCQ 172
The terminal volt-ampere conditions of a linear reciprocal network N
are shown in the fig. (a) What is the current I corresponding to the
terminal conditions shown in the fig.(b) ?
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Network Theory
(A) − 1 A (B) 9 A
(C) 10 A (D) 11 A
MCQ 173
If the switch S in the circuit shown below is opened at t = 0 , what
are the values of v (0+) and dv ^0+h, respectively ?
dt
MCQ 174
If Y1 and Y2 are the RC driving point admittance and impedance
functions, respectively, such that
Y1 = (s + 1) (s + 3)
Y2 (s + 2) 2
3. s+2 4. s + 2
(s + 1) (s + 3)
YEAR 2007
MCQ 175
A network has 4 nodes and 3 independent loops. What is the number
of branches in the network ?
(A) 5 (B) 6
(C) 7 (D) 8
MCQ 176
Which one of the following functions is an RC driving point impedance
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Network Theory
?
s (s + 3) (s + 4) (s + 3) (s + 4)
(A) (B)
(s + 1) (s + 2) (s + 1) (s + 2)
(s + 3) (s + 4) (s + 2) (s + 4)
(C) (D)
s (s + 1) (s + 2) (s + 1) (s + 3)
MCQ 177
P (s) = s 4 + s3 + 2s2 + 4s + 3
Q (s) = s5 + 3s3 + s
Which one of the following statements is correct for above P (s) and Q (s)
polynomials ?
(A) Both P (s) and Q (s) are Hurwitz
(B) Both P (s) and Q (s) are non-Hurwitz
(C) P (s) is Hurwitz but Q (s) is non-Hurwitz
(D) P (s) in non-Hurwitz but Q (s) is Hurwitz
MCQ 178
MCQ 179
MCQ 180
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Network Theory
MCQ 181
What are the ABCD parameters of the single elements circuit given
below ?
1 z 1 1
(A) > H (B) > H
0 1 z 0
1 z z 1
(C) > H (D) > H
1 0 1 1
MCQ 182
MCQ 183
select the correct answer using the code given below the list :
List I List II
A. h11 1. 1
re + rd
B. h12 2. rb + re
C. h21 3. μbc
D. h22 4. αcb
Codes :
A B C D
(A) 2 1 4 3
(B) 4 3 2 1
(C) 2 3 4 1
(D) 4 1 2 3
MCQ 184
Which of the following is/are correct ? The circuit shown in the fig.
below.
1. is reciprocal
2. has Z11 = 2, Z22 = 2
3. has Z11 = 4, Z22 = 2
4. has Z11 = 0, Z22 = 2
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Network Theory
MCQ 185
Which one of the following is correct ? The correct shown in the fig.
below.
MCQ 186
The graph of a network is shown in fig. above. Which one of the fig.
shown below is not a tree of the graph ?
MCQ 187
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Network Theory
MCQ 188
What are the source voltage and source resistance, respectively for
the Thevenin’s equivalent circuit as seen from the terminals indicated
in the circuit given below ?
MCQ 189
(A) 2 Ω (B) 4 Ω
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Network Theory
(C) 8 Ω (D) 12 Ω
MCQ 190
What is the value of R required for maximum power transfer in the
network shown below ?
(A) 2 Ω (B) 4 Ω
(C) 8 Ω (D) 16 Ω
MCQ 191
In the circuit shown below, if the current through the resistor R is
zero, what is the value of I ?
(A) 1 A (B) 2 A
(C) 3 A (D) 4 A
MCQ 192
A reactive network has poles at ω = 0 , 4000 rad/s,and infinity and
zeros at ω = 2000 and 6000 rad/s. The impedance of the network is
− j700 Ω at 1000 rad/s. What is the correct expression for the driving
point impedance ?
(ω2 − 4 # 106) (ω2 − 36 # 106)
(A) − j (− 0.1ω) Ω
ω2 (ω2 − 16 # 106)
ω2 (ω2 − 16 # 106)
(B) j (0.1ω) Ω
(ω2 − 4 # 106) (ω2 − 36 # 106)
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ω2 (ω2 − 16 # 106)
(D) − j (0.1ω) 2 Ω
(ω − 4 # 106) (ω2 − 36 # 106)
MCQ 193
MCQ 194
x (t) : Input voltage
y (t) : Output voltage
Consider the circuit shown below :
YEAR 2008
MCQ 195
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Network Theory
In the circuit shown above, the switch is open for a long time and
closed at time t = 0 . What is the current through the switch after the
switch is closed ?
(A) Zero (B) 1 A
(C) 2 A (D) 5 A
MCQ 196
In the circuit shown below, the switch is closed at t = 0 . What is the
initial value of the current through the capacitor ?
MCQ 197
Consider a circuit which consist of resistors and independent current
sources, and one independent voltage source connected between the
nodes i and j . The equations are obtained for voltage of n unknown
nodes with respect to one reference node in the form
MCQ 198
MCQ 199
MCQ 200
In a network containing active components, output voltage
(A) will always be greater than input voltage
(B) will always be equal to the input voltage
(C) can be less than or greater than input voltage only
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Network Theory
MCQ 201
MCQ 202
If the state space equation of a system is
−3 1
xo = >
0 − 2H
x
and the initial state value x (0) = [10 − 10]T , the steady-state value is
8A BB , what are the respective values of A and B ?
T
(A) 0, 0 (B) − 3, − 2
(C) 0, 1 (D) 3, 3
MCQ 203
Match List I (Form) with List II (Method) with respect to the
synthesis of RC driving-point function Z (s) = 1/y (s) and select the
correct answer using the code given below the lists :
List I
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Network Theory
A. Foster I form
B. Foster II form
C. Causer I form
D. Causer II form
List II
1. Continued fraction expansion of Z (s) around s = 3
2. Partial fraction expansion of Y (s) /s
Codes :
A B C D
(A) 1 2 4 3
(B) 4 3 1 2
(C) 1 3 4 3
(D) 4 2 1 3
MCQ 204
MCQ 205
MCQ 206
MCQ 207
A two-port network has Z11 = 13/35, Z12 = Z21 = 2/35, Z22 = 3/35..
Its Y11 and Y12 parameters will respectively, be
(A) 3, − 2 (B) 3, 2
(C) 13, − 2 (D) 13, 2
MCQ 208
MCQ 209
Assertion (A) : The Kirchoff’s current law states that the sum of
currents entering at any node is equal to the sum of currents leaving
that node.
Reason (R) : The Kirchoff’s current law is based on the law of
conservation of charge.
(A) Both A and R are true and R is the correct explanation of A
(B) Both A and R are true but R is NOT the correct explanation of
A.
(C) A is true but R is false
(D) A is false but R is true
MCQ 210
MCQ 211
MCQ 212
MCQ 213
where f1 = 1
2πRC
(A) Both A and R are true and R is the correct explanation of A
(B) Both A and R are true but R is NOT the correct explanation of
A
(C) A is true but R is false
(D) A is false but R is true
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Network Theory
MCQ 214
For the circuit shown in the above fig. what is the natural frequency ?
(A) 1 M rad/s (B) 2 M rad/s
(C) 3 M rad/s (D) 5 M rad/s
MCQ 215
MCQ 216
MCQ 217
MCQ 218
List I
A. Norton’s theorem
B. Superposition theorem
C. Thevenin’s current law
D. Kirchhoff’s current law
List II
1. Effects of independent source in a linear circuit are additive
2. Law of non-accumulation of charge holds good at nodes
3. Current sources with shunt resistor
4. Voltage source with series resistor
Codes :
A B C D
(A) 2 4 1 3
(B) 3 1 4 2
(C) 2 1 4 3
(D) 3 4 1 2
MCQ 219
MCQ 220
Width of resonance curve in an RLC network is determined by which
one of the following ?
(A) R alone (B) L alone
(C) C alone (D) All R, L and C
MCQ 221
Consider the following statements :
When a series RLC circuit is under resonance
1. current is maximum through R
2. magnitude of the voltage across L is equal to that across C
3. the power factor of the circuit is unity
Which of the statements given above are correct ?
(A) 1, 2 and 3 (B) 1 and 2 only
(C) 2 and 3 only (D) 1 and 3 only
MCQ 222
Consider the following statements with regard to a complete incidence
matrix :
1. The sum of the entries in any column is zero
2. The rank of the matrix is n − 1 where n is the number of nodes.
3. The determinant of the matrix of a closed loop is zero.
Which of the statements given above are correct ?
(A) 1 and 2 only (B) 2 and 3 only
(C) 1 and 3 only (D) 1, 2 and 3
YEAR 2009
MCQ 223
For a series RLC circuit, the characteristic equation is given as
s2 + R s + 1 = 0
L LC
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Network Theory
MCQ 224
In the circuit given below, the switch has been in position 1 for
quite a long time. At t = 0 the switch is moved to position 2. At this
position what is the time constant ?
MCQ 225
In the circuit given below,the switch is open for a long time. At time
t = 0 , the switch is closed. What are the initial and final values of
voltage across the inductor ?
MCQ 226
(C) 5 A (D) 10 A
MCQ 227
MCQ 228
(A) 50 A (B) 25 A
(C) 5 A (D) 1 A
MCQ 229
MCQ 230
MCQ 231
MCQ 232
MCQ 233
In a network with twelve circuit elements and five nodes, what is the
minimum number of mesh equations ?
(A) 24 (B) 12
(C) 10 (D) 8
MCQ 234
MCQ 235
Match List I (Network parameter) with List II (Measure under open-
circuit conditions) and select the correct answer using the code given
below the lists :
List I List II
A. Z11 1. V2 I = 0
I2 1
B. A 2. V1 I = 0
V2 2
C. C 3. V1 I = 0
I1 2
D. Z22 4. I1 I = 0
V2 2
Codes :
A B C D
(A) 1 4 2 3
(B) 3 4 2 1
(C) 1 2 4 3
(D) 3 2 4 1
MCQ 236
Which one of the following driving point functions does not represent
an LC network ?
s (s + 3) (s 2 + 25)
(A) Z (s) = 2 (B) Z (s) =
(s + 1) (s 2 + 9) s (s 2 + 36)
(s2 + 1) (s2 + 36) s (s 2 + 16)
(C) Z (s) = (D) Z (s) =
s (s 2 + 4) (s 2 + 25) (s 2 + 25)
MCQ 237
If a two-port network is reciprocal as well as symmetrical, which one
of the following relationship is correct ?
(A) Z12 = Z21 and Z11 = Z22 (B) Y12 = Y21 and Y11 = Y22
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Network Theory
MCQ 238
If the connection of two-ports is such that the transmission matrix of
the overall network is the product of the transmission matrices of the
individual networks, what type of connection is it ?
(A) Series connection (B) Cascade connection
(C) Parallel connection (D) None of the above
MCQ 239
MCQ 240
Consider the following network function
s (s + 2)
N (s) =
(s + 4) (s + 1 + j1) (s + 1 − j1)
In order of make N (s) as rational network function, it is essential to
include
(A) Zero to origin (B) Zero at infinity
(C) Pole at origin (D) Pole at infinity
MCQ 241
For determining the network functions of a two-port network, it is
required to consider that
(A) all initial conditions remain same
(B) all initial conditions are zero
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Network Theory
MCQ 242
All poles and zeros of a driving point immittance function of an LC
network
(A) should lie on the jω axis
(B) should lie on the +ve real axis
(C) should lie on the –ve real axis
(D) can lie anywhere in s-plane
MCQ 243
Assertion (A) : Ideal current sources and ideal voltage sources do not
exist in reality.
Reason (R) : All sources have finite internal impedance.
(A) Both A and R are true and R is the correct explanation of A
(B) Both A and R ar true but R is NOT the correct explanation of
A
(C) A is true but R is false
(D) A is false but R is true
**********
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