2. 2
MODULE-2
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
1. Basics of Kirchhoff’s law
2. Graph Theory
3. 3
QUESTION-1
KCL states that
a. net current flow at the junction is positive
b. algebric sum of the currents meeting at a
junction is 0
c. no current can leave the junction without some
current entering in it
d. total sum of currents meeting at the junction is 0
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
4. 4
Answer- B
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
5. 5
QUESTION-2
According to KVL ,the algebric sum of all IR drops and emfs in any
closed loop of a network is always
a. negative
b. positive
c. determined by battery emfs
d. zero
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
6. 6
Answer - D
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
7. 7
QUESTION-3
KCL is applicable to only
a. junction in a network
b. closed loops in a network
c. electric circuits
d. electronic circuits
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
8. 8
Answer - A
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
9. 9
QUESTION-4
KVL is related to
a. junctions currents
b. battery emfs
c. IR drops
d. both b and c
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
10. 10
Answer- D
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
11. 11
QUESTION-5
An ideal voltage source should have
a. large value of emfs
b. small value of emfs
c. zero source resistance
d. infinite source resistance
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
12. 12
Answer- C
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
13. 13
QUESTION-6
To determine the polarity of the voltage drop across a resistor ,it is
necessary to know
a. value of current through the resistor
b. direction of current through the resistor
c. value of resistor
d. emfs in the circuit
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
15. 15
QUESTION-7
Which of the following is non-linear circuit parameter
a. inductance
b. condenser
c. wire wound resistor
d. transistor
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
16. 16
Answer- A
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
17. 17
QUESTION-8
Kirchoff law is applicable to
a. passive networks only
b. AC circuits only
c. DC circuits only
d. both AC as well as DC circuits
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
18. 18
Answer- D
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
19. 19
QUESTION-9
Kirchoff law is not applicable to circuits with
a. lumped parameters
b. passive elements
c. distributed parameters
d. non-linear resistances
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
20. 20
Answer- C
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
21. 21
QUESTION-10
Between the branch voltages of a loop the KVL imposes
a. non-linear constraints
b. linear constraints
c. no constraints
d. none of the above
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
22. 22
Answer - B
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
23. 23
QUESTION-11
A passive network is one which contains
a. only variable resistance
b. only some sources of emfs in it
c. only two sources of emfs in it
d. no source of emfs in it
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
24. 24
Answer- D
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
25. 25
QUESTION-12
A terminal where three or more branches meet is known as
a. node
b. terminus
c. combination
d. anode
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
26. 26
Answer -A
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
27. 27
QUESTION-13
A closed path made by several branches of the network is known as
a. branch
b. loop
c. circuit
d. junction
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
28. 28
Answer- B
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
29. 29
The correct relation between energy and charge is
(a) Energy = voltage / charge
(b) Charge = Energy x voltage
(c) Energy = voltage (charge)0.5
(d) Energy = voltage x charge
QUESTION-14
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
30. 30
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
Answer- D
31. 31
QUESTION-15
The number of independent equation to solve a network is equal to
a. the number of chords
b. number of branches
c. sum of the number of branches and chords
d. sum of the number of branches ,chords and nodes
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
32. 32
Answer- A
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
33. 33
QUESTION-16
the tie set matrix gives the relation between
a. branch currents and link currents
b. branch voltage and link currents
c. branch currents and link voltages
d. None of the above
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
34. 34
Answer- A
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
35. 35
QUESTION-17
The graph of a network has 6 branches with 3 tree branches .
The minimum number of equations required for the solution
of the network is
a. 2
b. 3
c. 4
d. 5
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
36. 36
Answer- B
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
37. 37
For a connected planar graph of v vertices and e
edges the number of meshes is
(a) (e-v+1)
(b) (e+v+1)
(c) (e+v-1)
(d) None of these
QUESTION-18
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
38. Answer-A
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
38
39. QUESTION-19
The number of chords of a tree of a connected graph G of v
vertices and e edges is
a) (v-1)
b) (e-v+1)
c) (e-v-1)
d)none
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
39
40. Answer-B
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
40
41. QUESTION-20
Which of the following statement is correct
A tree in a network is a connected graph containing
a) all the nodes only
b) All the branches only
c) All the branches and nodes
d) All the nodes but no close path
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
41
42. Answer- D
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
42
43. 43
QUESTION-21
A network has 7 nodes and 5 independent loops. The number
of branches in the network is
a. 7
b. 5
c. 11
d. 12
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
44. 44
Answer -C
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
45. 45
QUESTION-22
An electric circuit with 10 branches and 7 nodes will have
a. 3 loop equations
b. 4 loop equations
c. 7 loop equations
d. 10 loop equations
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
46. 46
Answer- B
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
47. QUESTION-23
The tree branches of a graph are called
a) chords
b) links
c) twigs
d) Co-tree
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
47
48. Answer-c
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
48
49. QUESTION-24
If an ideal voltage source and an ideal current source are the
connected in parallel what are the properties of the combination?
a) The same as a voltage source
b) The same as a current source
c) Different from either a voltage source or current
source
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
49
50. Answer-A
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
50
51. QUESTION-25
The energy expanded or heat generated in joules when a current
of ‘i’ flows through a conductor ‘R’ for ‘t’ seconds is given by
a) i^2 Rt
b) iRt
c) iR^2t
d) iRt^2
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
51
52. Answer- A
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
52
53. QUESTION-26
A 2 Ω resistance having a current of 2A will dissipate a
power of
a) 2W
b) 4W
c) 8W
d) 8J
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
53
54. Answer-C
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
54
55. QUESTION-27
In a network containing only independent current sources
and resistors, if the values of all the resistors are doubled,
the value of the node voltages
a) Are doubled
b) Remain same
c) Are halved
d) Change in some other way
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
55
56. Answer-A
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
56
57. QUESTION-28
What is the rank of a graph
a) N-1
b) N+1
c) 2n-1
d) 2n+1
where n is the number of nodes
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
57
58. Answer- A
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
58
59. QUESTION-29
Whenever current is supplied by a source its terminal voltage is
a) increase
b) decrease
c) Remains constant
d) Increases exponentially
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
59
60. Answer-B
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
60
61. QUESTION-30
A current of 4A flows in a AC circuit when 100v DC is
applied to it whereas it takes 250 v AC to produce the same
current the power factor of the circuit is
a) 0.4
b) 10
c) 1
d) 0.85
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
61
62. Answer-A
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
62
63. QUESTION-31
Which of the following can not be connected in series unless they
are identical
a) Voltage source
b) Current source
c) Both of above
d) resistance
R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
63
64. R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
Answer- B
64
65. R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
Kirchoff second law is based on the law of conservation of
a) Charge
b) energy
c) momentum
d) mass
QUESTION -32
65
66. R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
ANSWER- B
66
67. R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
QUESTION -33
A branch of a network is said to be active when it consists of one
a) resistor
b) Voltage source
c) inductor
d) capacitor
67
68. R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
Answer-B
68
69. R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
QUESTION -34
A branch of network is said to be passive when it contains
a) voltmeter
b) Voltage source
c) Current source
d) battrery
69
70. R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
Answer-A
70
71. R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
QUESTION -35
An electric current of 5A is same as
a) 5 J/C
b) 5V/C
c) 5C/sec
d) 5w/sec
71
72. R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
Answer-C
72
73. R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
QUESTION -36
A circuit contains two un equal resistances in parallel
a) Current is same in both
b) Large current flows in larger resistor
c) Potential difference across each is same
d) Smaller resistance has smaller conductance
73
74. R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
Answer-C
74
75. R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
QUESTION -37
Tree branches are known as
a) branch
b) Twigs
c) chords
d) Co-tree
75
76. R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
Answer-B
76
77. R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
QUESTION -38
What seprates the cut –set in a graph
a) Nodes of the graph into two groups
b) Branches of the graph
c) loops
d) All of the above
77
78. R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
Answer-A
78
79. R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
QUESTION -39
In any network on which principle a branch posses same
current
a) Charge continuity
b) Current continuity
c) Voltage continuity
d) All of the above
79
80. R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
Answer-A
80
81. R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
QUESTION -40
What are the number of branches in a tree
a) N-1
b) N+1
c) N+2
d) 2n-1
81
82. R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
Answer-A
82
83. R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
QUESTION -41
What is the unit of the current density
a) A/m^2
b) A-m
c) A/m
d) None
83
84. R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
Answer-A
84
85. R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
Ohms law not applicable to
QUESTION -42
a) Linear circuits
b) Non linear circuits
c) No limitation
85
86. R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
Answer-B
86
87. R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
QUESTION -43
A circuit that opposes the change in circuit current is
a) resistance
b) capacitance
c) Inductance
d) conductance
87
88. R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
Answer-C
88
89. R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
QUESTION -44
2 resistor R1 and R2 give combined resistance of 4.5 Ω when in
series and 1Ω when in parallel . The resistance are
a) 2 Ω and 2.5 Ω
b) 1 Ω and 3.5 Ω
c) 1.5 Ω and 3.5 Ω
d) 4 Ω and 0.5 Ω
89
90. R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
Answer-C
90
91. R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
QUESTION -45
A connected planar network has 4 nodes and 5 elements . The
number of meshes in its dual network is
a) 4
b) 3
c) 2
d) 1
91
92. R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
Answer-C
92
93. R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
QUESTION -46
Supermesh concept is only for
a) Current sources
b) Voltage sources
c) Dependent sources
d) None of the above
93
94. R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
Answer- A
94
95. R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
QUESTION -47
Ohm law mathematical statement given as
a) V=IR
b) V=I/R
c) R=V/I
d) None of the above
95
96. R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
Answer- A
96
97. R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
QUESTION -48
KVL is …………… of nature of circuit element
a) dependent
b) independent
c) In other way
d) Time varying
97
98. R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
Answer- B
98
99. R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
QUESTION -49
A tree is a connected graph which has
a) Closed path
b) Either close or no close path
c) No closed path
d) None of the above
99
100. R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
Answer- C
100
101. R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
QUESTION -50
Number of twigs is given as
a) Nt=n-1
b) Nt=n+1
c) Nt=2n+1
d) None of the above
101
102. R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
Answer- A
102
103. R.V. INSTITUTE OF TECHNOLOGY
Approved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow
Thank you
&
All The Best