Electrical Engineering (EE) 2013 GATE Paper (Set A) without solution Electrical Engineering (EE) Notes | EduRev

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Electrical Engineering (EE) : Electrical Engineering (EE) 2013 GATE Paper (Set A) without solution Electrical Engineering (EE) Notes | EduRev

 Page 1


 
 
 
 
 
 
 
SESSION - 1 
 
 
 
 
 
 
 
 
Page 2


 
 
 
 
 
 
 
SESSION - 1 
 
 
 
 
 
 
 
 
2013                                                                                                                           Question Booklet Code                                                                           
 
EE-A 
 
1/20
EE : ELECTRICAL ENGINEERING 
 
Duration: Three Hours                       Maximum Marks: 100 
Read the following instructions carefully. 
 
1. Do not open the seal of the Question Booklet until you are asked to do so by the invigilator. 
2. Take out the Optical Response Sheet (ORS) from this Question Booklet without breaking the seal 
and read the instructions printed on the ORS carefully. If you find that either: 
a. The Question Booklet Code printed at the right hand top corner of this page does not match with 
the Question Booklet Code at the right hand top corner of the ORS or 
b. The Question Paper Code preceding the Registration number on the ORS is not EE, 
            then exchange the booklet immediately with a new sealed Question Booklet.  
3. On the right half hand side of the ORS, using ONLY a black ink ballpoint pen, (i) darken the 
appropriate bubble under each digit of your registration number and (ii) write your registration number, 
your name and name of the examination centre and put your signature at the specified location.  
4. This Question Booklet contains 20 pages including blank pages for rough work. After you are 
permitted to open the seal, check all pages and report discrepancies, if any, to the invigilator. 
5. There are a total of 65 questions carrying 100 marks. All these questions are of objective type. Each 
question has only one correct answer. Questions must be answered on the left hand side of the ORS 
by darkening the appropriate bubble (marked A, B, C, D) using ONLY a black ink ballpoint pen 
against the question number. For each question darken the bubble of the correct answer. More 
than one answer bubbled against a question will be treated as an incorrect response. 
6. Since bubbles darkened by the black ink ballpoint pen cannot be erased, candidates should darken the 
bubbles in the ORS very carefully. 
7. Questions Q.1 – Q.25 carry 1 mark each. Questions Q.26 – Q.55 carry 2 marks each. The 2 marks 
questions include two pairs of common data questions and two pairs of linked answer questions. The 
answer to the second question of the linked answer questions depends on the answer to the first 
question of the pair. If the first question in the linked pair is wrongly answered or is not attempted, 
then the answer to the second question in the pair will not be evaluated. 
8. Questions Q.56 – Q.65 belong to General Aptitude (GA) section and carry a total of 15 marks. 
Questions Q.56 – Q.60 carry 1 mark each, and questions Q.61 – Q.65 carry 2 marks each. 
9. Questions not attempted will result in zero mark and wrong answers will result in NEGATIVE 
marks.  For all 1 mark questions, ? mark will be deducted for each wrong answer. For all 2 marks 
questions, ? mark will be deducted for each wrong answer.  However, in the case of the linked 
answer question pair, there will be negative marks only for wrong answer to the first question and no 
negative marks for wrong answer to the second question.  
10. Calculator is allowed whereas charts, graph sheets or tables are NOT allowed in the examination hall. 
11. Rough work can be done on the Question Booklet itself. Blank pages are provided at the end of the 
Question Booklet for rough work. 
12. Before the start of the examination, write your name and registration number in the space provided 
below using a black ink ballpoint pen. 
Name 
 
 
Registration Number EE 
       
 
 
A 
Page 3


 
 
 
 
 
 
 
SESSION - 1 
 
 
 
 
 
 
 
 
2013                                                                                                                           Question Booklet Code                                                                           
 
EE-A 
 
1/20
EE : ELECTRICAL ENGINEERING 
 
Duration: Three Hours                       Maximum Marks: 100 
Read the following instructions carefully. 
 
1. Do not open the seal of the Question Booklet until you are asked to do so by the invigilator. 
2. Take out the Optical Response Sheet (ORS) from this Question Booklet without breaking the seal 
and read the instructions printed on the ORS carefully. If you find that either: 
a. The Question Booklet Code printed at the right hand top corner of this page does not match with 
the Question Booklet Code at the right hand top corner of the ORS or 
b. The Question Paper Code preceding the Registration number on the ORS is not EE, 
            then exchange the booklet immediately with a new sealed Question Booklet.  
3. On the right half hand side of the ORS, using ONLY a black ink ballpoint pen, (i) darken the 
appropriate bubble under each digit of your registration number and (ii) write your registration number, 
your name and name of the examination centre and put your signature at the specified location.  
4. This Question Booklet contains 20 pages including blank pages for rough work. After you are 
permitted to open the seal, check all pages and report discrepancies, if any, to the invigilator. 
5. There are a total of 65 questions carrying 100 marks. All these questions are of objective type. Each 
question has only one correct answer. Questions must be answered on the left hand side of the ORS 
by darkening the appropriate bubble (marked A, B, C, D) using ONLY a black ink ballpoint pen 
against the question number. For each question darken the bubble of the correct answer. More 
than one answer bubbled against a question will be treated as an incorrect response. 
6. Since bubbles darkened by the black ink ballpoint pen cannot be erased, candidates should darken the 
bubbles in the ORS very carefully. 
7. Questions Q.1 – Q.25 carry 1 mark each. Questions Q.26 – Q.55 carry 2 marks each. The 2 marks 
questions include two pairs of common data questions and two pairs of linked answer questions. The 
answer to the second question of the linked answer questions depends on the answer to the first 
question of the pair. If the first question in the linked pair is wrongly answered or is not attempted, 
then the answer to the second question in the pair will not be evaluated. 
8. Questions Q.56 – Q.65 belong to General Aptitude (GA) section and carry a total of 15 marks. 
Questions Q.56 – Q.60 carry 1 mark each, and questions Q.61 – Q.65 carry 2 marks each. 
9. Questions not attempted will result in zero mark and wrong answers will result in NEGATIVE 
marks.  For all 1 mark questions, ? mark will be deducted for each wrong answer. For all 2 marks 
questions, ? mark will be deducted for each wrong answer.  However, in the case of the linked 
answer question pair, there will be negative marks only for wrong answer to the first question and no 
negative marks for wrong answer to the second question.  
10. Calculator is allowed whereas charts, graph sheets or tables are NOT allowed in the examination hall. 
11. Rough work can be done on the Question Booklet itself. Blank pages are provided at the end of the 
Question Booklet for rough work. 
12. Before the start of the examination, write your name and registration number in the space provided 
below using a black ink ballpoint pen. 
Name 
 
 
Registration Number EE 
       
 
 
A 
2013                                                                                                                                      ELECTRICAL ENGINEERING - EE                                                                                                                       
 
EE-A 2/20
Q.1 to Q.25 carry one mark each. 
Q.1 In the circuit shown below what is the output voltage (V
out
) in Volts if a silicon transistor Q and an 
ideal op-amp are used? 
 
 
 
(A) 15  (B) 0.7  
(C)  0.7   (D)  15  
 
Q.2 
The transfer function 
) (
) (
1
2
s V
s V
 of the circuit shown below is 
  
(A) 
1
1 5 . 0
+
+
s
s
 (B) 
2
6 3
+
+
s
s
 
(C) 
1
2
+
+
s
s
 (D) 
2
1
+
+
s
s
 
 
Q.3 Assuming zero initial condition, the response ) (t y of the system given below to a unit step input 
) (t u is 
 
  
(A) ( ) u t (B)  ( ) t u t (C)  ) (
2
2
t u
t
 (D) ( )
t
e u t
- 
 
Q.4 The impulse response of a system is ) ( ) ( t u t t h = . For an input , ) 1 ( - t u the output is 
(A) ) (
2
2
t u
t
 (B) ) 1 (
2
) 1 (
- - t u
t t
  (C)  ) 1 (
2
2
) 1 (
- - t u
t
 (D)  ) 1 (
2
1
2
- - t u
t
 
Page 4


 
 
 
 
 
 
 
SESSION - 1 
 
 
 
 
 
 
 
 
2013                                                                                                                           Question Booklet Code                                                                           
 
EE-A 
 
1/20
EE : ELECTRICAL ENGINEERING 
 
Duration: Three Hours                       Maximum Marks: 100 
Read the following instructions carefully. 
 
1. Do not open the seal of the Question Booklet until you are asked to do so by the invigilator. 
2. Take out the Optical Response Sheet (ORS) from this Question Booklet without breaking the seal 
and read the instructions printed on the ORS carefully. If you find that either: 
a. The Question Booklet Code printed at the right hand top corner of this page does not match with 
the Question Booklet Code at the right hand top corner of the ORS or 
b. The Question Paper Code preceding the Registration number on the ORS is not EE, 
            then exchange the booklet immediately with a new sealed Question Booklet.  
3. On the right half hand side of the ORS, using ONLY a black ink ballpoint pen, (i) darken the 
appropriate bubble under each digit of your registration number and (ii) write your registration number, 
your name and name of the examination centre and put your signature at the specified location.  
4. This Question Booklet contains 20 pages including blank pages for rough work. After you are 
permitted to open the seal, check all pages and report discrepancies, if any, to the invigilator. 
5. There are a total of 65 questions carrying 100 marks. All these questions are of objective type. Each 
question has only one correct answer. Questions must be answered on the left hand side of the ORS 
by darkening the appropriate bubble (marked A, B, C, D) using ONLY a black ink ballpoint pen 
against the question number. For each question darken the bubble of the correct answer. More 
than one answer bubbled against a question will be treated as an incorrect response. 
6. Since bubbles darkened by the black ink ballpoint pen cannot be erased, candidates should darken the 
bubbles in the ORS very carefully. 
7. Questions Q.1 – Q.25 carry 1 mark each. Questions Q.26 – Q.55 carry 2 marks each. The 2 marks 
questions include two pairs of common data questions and two pairs of linked answer questions. The 
answer to the second question of the linked answer questions depends on the answer to the first 
question of the pair. If the first question in the linked pair is wrongly answered or is not attempted, 
then the answer to the second question in the pair will not be evaluated. 
8. Questions Q.56 – Q.65 belong to General Aptitude (GA) section and carry a total of 15 marks. 
Questions Q.56 – Q.60 carry 1 mark each, and questions Q.61 – Q.65 carry 2 marks each. 
9. Questions not attempted will result in zero mark and wrong answers will result in NEGATIVE 
marks.  For all 1 mark questions, ? mark will be deducted for each wrong answer. For all 2 marks 
questions, ? mark will be deducted for each wrong answer.  However, in the case of the linked 
answer question pair, there will be negative marks only for wrong answer to the first question and no 
negative marks for wrong answer to the second question.  
10. Calculator is allowed whereas charts, graph sheets or tables are NOT allowed in the examination hall. 
11. Rough work can be done on the Question Booklet itself. Blank pages are provided at the end of the 
Question Booklet for rough work. 
12. Before the start of the examination, write your name and registration number in the space provided 
below using a black ink ballpoint pen. 
Name 
 
 
Registration Number EE 
       
 
 
A 
2013                                                                                                                                      ELECTRICAL ENGINEERING - EE                                                                                                                       
 
EE-A 2/20
Q.1 to Q.25 carry one mark each. 
Q.1 In the circuit shown below what is the output voltage (V
out
) in Volts if a silicon transistor Q and an 
ideal op-amp are used? 
 
 
 
(A) 15  (B) 0.7  
(C)  0.7   (D)  15  
 
Q.2 
The transfer function 
) (
) (
1
2
s V
s V
 of the circuit shown below is 
  
(A) 
1
1 5 . 0
+
+
s
s
 (B) 
2
6 3
+
+
s
s
 
(C) 
1
2
+
+
s
s
 (D) 
2
1
+
+
s
s
 
 
Q.3 Assuming zero initial condition, the response ) (t y of the system given below to a unit step input 
) (t u is 
 
  
(A) ( ) u t (B)  ( ) t u t (C)  ) (
2
2
t u
t
 (D) ( )
t
e u t
- 
 
Q.4 The impulse response of a system is ) ( ) ( t u t t h = . For an input , ) 1 ( - t u the output is 
(A) ) (
2
2
t u
t
 (B) ) 1 (
2
) 1 (
- - t u
t t
  (C)  ) 1 (
2
2
) 1 (
- - t u
t
 (D)  ) 1 (
2
1
2
- - t u
t
 
2013                                                                                                                                      ELECTRICAL ENGINEERING - EE                                                                                                                       
 
EE-A 3/20
Q.5 Which one of the following statements is NOT TRUE for a continuous time causal and stable  
LTI system? 
(A) All the poles of the system must lie on the left side of the  j?
 
axis. 
(B) Zeros of the system can lie anywhere  in the  s-plane. 
(C) All the poles must lie within 1. s = 
(D) All the roots of the characteristic equation must be located on the left side of the j? axis. 
 
Q.6 
Two systems with impulse responses 
1
( ) h t and 
2
( ) h t  are connected in cascade. Then the overall 
impulse response of the cascaded system is given by 
(A) product of 
1
( ) h t and 
2
( ) h t 
(B) sum of  
1
( ) h t and 
2
( ) h t 
(C) convolution of  
1
( ) h t and 
2
( ) h t 
(D) subtraction of 
2
( ) h t from 
1
( ) h t 
 
Q.7 A source ( ) cos100
s
v t V t p =
 
has an internal impedance of
 
(4 + j3) ?. If a purely resistive load  
connected to this source has to extract the maximum power out of the source, its value in ? should 
be 
(A) 3 (B) 4 (C)  5 (D) 7 
 
Q.8 A single-phase load is supplied by a single-phase voltage source. If the current flowing from the 
load to the source is 
0
10 150 ? - A and if the voltage at the load terminals is 
0
100 60 ? V, then the 
(A)  load absorbs real power and delivers reactive power. 
(B)  load absorbs real power and absorbs reactive power. 
(C)  load delivers real power and delivers reactive power. 
(D)  load delivers real power and absorbs reactive power. 
 
Q.9 A single-phase transformer has no-load loss of 64 W, as obtained from an open-circuit test. When a 
short-circuit test is performed on it with 90% of the rated currents flowing in its both LV and HV 
windings, the measured loss is 81 W. The transformer has maximum efficiency when operated at 
(A)  50.0% of the rated current. 
(B)  64.0% of the rated current. 
(C)  80.0% of the rated current. 
(D)  88.8% of the rated current. 
 
Q.10 
The flux density at a point in space is given by 4 2 8 x ky = + +
x y z
B a a a Wb/m
2
. The value of 
constant k must be equal to 
(A)  –2 (B)  –0.5 (C)  +0.5 (D)  +2 
 
Q.11 
A continuous random variable X has a probability density function , ) (
x
e x f
- = 8 < < x 0 . Then 
} 1 { > X P is 
(A) 0.368 (B)  0.5 (C)  0.632 (D)  1.0 
 
 
Page 5


 
 
 
 
 
 
 
SESSION - 1 
 
 
 
 
 
 
 
 
2013                                                                                                                           Question Booklet Code                                                                           
 
EE-A 
 
1/20
EE : ELECTRICAL ENGINEERING 
 
Duration: Three Hours                       Maximum Marks: 100 
Read the following instructions carefully. 
 
1. Do not open the seal of the Question Booklet until you are asked to do so by the invigilator. 
2. Take out the Optical Response Sheet (ORS) from this Question Booklet without breaking the seal 
and read the instructions printed on the ORS carefully. If you find that either: 
a. The Question Booklet Code printed at the right hand top corner of this page does not match with 
the Question Booklet Code at the right hand top corner of the ORS or 
b. The Question Paper Code preceding the Registration number on the ORS is not EE, 
            then exchange the booklet immediately with a new sealed Question Booklet.  
3. On the right half hand side of the ORS, using ONLY a black ink ballpoint pen, (i) darken the 
appropriate bubble under each digit of your registration number and (ii) write your registration number, 
your name and name of the examination centre and put your signature at the specified location.  
4. This Question Booklet contains 20 pages including blank pages for rough work. After you are 
permitted to open the seal, check all pages and report discrepancies, if any, to the invigilator. 
5. There are a total of 65 questions carrying 100 marks. All these questions are of objective type. Each 
question has only one correct answer. Questions must be answered on the left hand side of the ORS 
by darkening the appropriate bubble (marked A, B, C, D) using ONLY a black ink ballpoint pen 
against the question number. For each question darken the bubble of the correct answer. More 
than one answer bubbled against a question will be treated as an incorrect response. 
6. Since bubbles darkened by the black ink ballpoint pen cannot be erased, candidates should darken the 
bubbles in the ORS very carefully. 
7. Questions Q.1 – Q.25 carry 1 mark each. Questions Q.26 – Q.55 carry 2 marks each. The 2 marks 
questions include two pairs of common data questions and two pairs of linked answer questions. The 
answer to the second question of the linked answer questions depends on the answer to the first 
question of the pair. If the first question in the linked pair is wrongly answered or is not attempted, 
then the answer to the second question in the pair will not be evaluated. 
8. Questions Q.56 – Q.65 belong to General Aptitude (GA) section and carry a total of 15 marks. 
Questions Q.56 – Q.60 carry 1 mark each, and questions Q.61 – Q.65 carry 2 marks each. 
9. Questions not attempted will result in zero mark and wrong answers will result in NEGATIVE 
marks.  For all 1 mark questions, ? mark will be deducted for each wrong answer. For all 2 marks 
questions, ? mark will be deducted for each wrong answer.  However, in the case of the linked 
answer question pair, there will be negative marks only for wrong answer to the first question and no 
negative marks for wrong answer to the second question.  
10. Calculator is allowed whereas charts, graph sheets or tables are NOT allowed in the examination hall. 
11. Rough work can be done on the Question Booklet itself. Blank pages are provided at the end of the 
Question Booklet for rough work. 
12. Before the start of the examination, write your name and registration number in the space provided 
below using a black ink ballpoint pen. 
Name 
 
 
Registration Number EE 
       
 
 
A 
2013                                                                                                                                      ELECTRICAL ENGINEERING - EE                                                                                                                       
 
EE-A 2/20
Q.1 to Q.25 carry one mark each. 
Q.1 In the circuit shown below what is the output voltage (V
out
) in Volts if a silicon transistor Q and an 
ideal op-amp are used? 
 
 
 
(A) 15  (B) 0.7  
(C)  0.7   (D)  15  
 
Q.2 
The transfer function 
) (
) (
1
2
s V
s V
 of the circuit shown below is 
  
(A) 
1
1 5 . 0
+
+
s
s
 (B) 
2
6 3
+
+
s
s
 
(C) 
1
2
+
+
s
s
 (D) 
2
1
+
+
s
s
 
 
Q.3 Assuming zero initial condition, the response ) (t y of the system given below to a unit step input 
) (t u is 
 
  
(A) ( ) u t (B)  ( ) t u t (C)  ) (
2
2
t u
t
 (D) ( )
t
e u t
- 
 
Q.4 The impulse response of a system is ) ( ) ( t u t t h = . For an input , ) 1 ( - t u the output is 
(A) ) (
2
2
t u
t
 (B) ) 1 (
2
) 1 (
- - t u
t t
  (C)  ) 1 (
2
2
) 1 (
- - t u
t
 (D)  ) 1 (
2
1
2
- - t u
t
 
2013                                                                                                                                      ELECTRICAL ENGINEERING - EE                                                                                                                       
 
EE-A 3/20
Q.5 Which one of the following statements is NOT TRUE for a continuous time causal and stable  
LTI system? 
(A) All the poles of the system must lie on the left side of the  j?
 
axis. 
(B) Zeros of the system can lie anywhere  in the  s-plane. 
(C) All the poles must lie within 1. s = 
(D) All the roots of the characteristic equation must be located on the left side of the j? axis. 
 
Q.6 
Two systems with impulse responses 
1
( ) h t and 
2
( ) h t  are connected in cascade. Then the overall 
impulse response of the cascaded system is given by 
(A) product of 
1
( ) h t and 
2
( ) h t 
(B) sum of  
1
( ) h t and 
2
( ) h t 
(C) convolution of  
1
( ) h t and 
2
( ) h t 
(D) subtraction of 
2
( ) h t from 
1
( ) h t 
 
Q.7 A source ( ) cos100
s
v t V t p =
 
has an internal impedance of
 
(4 + j3) ?. If a purely resistive load  
connected to this source has to extract the maximum power out of the source, its value in ? should 
be 
(A) 3 (B) 4 (C)  5 (D) 7 
 
Q.8 A single-phase load is supplied by a single-phase voltage source. If the current flowing from the 
load to the source is 
0
10 150 ? - A and if the voltage at the load terminals is 
0
100 60 ? V, then the 
(A)  load absorbs real power and delivers reactive power. 
(B)  load absorbs real power and absorbs reactive power. 
(C)  load delivers real power and delivers reactive power. 
(D)  load delivers real power and absorbs reactive power. 
 
Q.9 A single-phase transformer has no-load loss of 64 W, as obtained from an open-circuit test. When a 
short-circuit test is performed on it with 90% of the rated currents flowing in its both LV and HV 
windings, the measured loss is 81 W. The transformer has maximum efficiency when operated at 
(A)  50.0% of the rated current. 
(B)  64.0% of the rated current. 
(C)  80.0% of the rated current. 
(D)  88.8% of the rated current. 
 
Q.10 
The flux density at a point in space is given by 4 2 8 x ky = + +
x y z
B a a a Wb/m
2
. The value of 
constant k must be equal to 
(A)  –2 (B)  –0.5 (C)  +0.5 (D)  +2 
 
Q.11 
A continuous random variable X has a probability density function , ) (
x
e x f
- = 8 < < x 0 . Then 
} 1 { > X P is 
(A) 0.368 (B)  0.5 (C)  0.632 (D)  1.0 
 
 
2013                                                                                                                                      ELECTRICAL ENGINEERING - EE                                                                                                                       
 
EE-A 4/20
Q.12 
The curl of the gradient of the scalar field defined by 
2 2 2
2 3 4 V x y y z z x = + + is 
(A) 4 6 8 xy yz zx + +
x y z
a a a 
(B) 4 6 8 + +
x y z
a a a 
(C) 
( ) ( ) ( )
2 2 2
4 4 2 6 3 8 xy z x yz y zx + + + + +
x y z
a a a 
(D) 0 
 
Q.13 In the feedback network shown below, if the feedback factor k is increased, then the  
 
A
0
k
v
in
v
out
v
1
+
+
+
+
+
v
f
= kv
out
– –
–
–
–
 
 
(A) input impedance increases and output impedance decreases. 
(B) input impedance increases and output impedance also increases. 
(C) input impedance decreases and output impedance also decreases. 
(D) input impedance decreases and output impedance increases. 
 
Q.14 The input impedance of the permanent magnet moving coil (PMMC) voltmeter is infinite. 
Assuming that the diode shown in the figure below is ideal, the reading of the voltmeter in Volts is 
 
(A) 4.46  (B)  3.15  (C)  2.23   (D)  0  
 
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