Electrical Engineering (EE) 2012 GATE Paper (Set A) with solution Electrical Engineering (EE) Notes | EduRev

GATE Past Year Papers for Practice (All Branches)

Electrical Engineering (EE) : Electrical Engineering (EE) 2012 GATE Paper (Set A) with solution Electrical Engineering (EE) Notes | EduRev

 Page 1


2012                                                                                                                           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 the Question Booklet Code 
printed at the right hand top corner of this page does not match with the Booklet Code on the ORS, 
exchange the booklet immediately with a new sealed Question Booklet.  
 
3. On the right half of the ORS, using ONLY a black ink ball point pen, (i) darken the bubble 
corresponding to your test paper code and 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, please 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 ball point 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 ball point 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 unattempted, 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. Unattempted questions 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 paper itself. Blank pages are provided at the end of the 
question paper 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 ball point pen. 
 
Name 
 
 
Registration Number EE 
       
 
A 
Page 2


2012                                                                                                                           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 the Question Booklet Code 
printed at the right hand top corner of this page does not match with the Booklet Code on the ORS, 
exchange the booklet immediately with a new sealed Question Booklet.  
 
3. On the right half of the ORS, using ONLY a black ink ball point pen, (i) darken the bubble 
corresponding to your test paper code and 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, please 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 ball point 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 ball point 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 unattempted, 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. Unattempted questions 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 paper itself. Blank pages are provided at the end of the 
question paper 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 ball point pen. 
 
Name 
 
 
Registration Number EE 
       
 
A 2012                                                                                                                                          ELECTRICAL ENGINEERING - EE                                                                                                                        
 
EE-A 2/20 
Q. 1 – Q. 25 carry one mark each. 
Q.1  Two independent random variables X and Y are uniformly distributed in the interval [–1,1]. The 
probability that max[X, Y] is less than 2 1 is 
(A)  4 3 (B)  16 9 (C)  4 1  (D)  3 2  
 
Q.2  
If 1 ? ? x , then the value of 
x
x is 
(A)    
2 / ? ?
e (B)    
2 / ?
e 
(C)     x (D)   1 
 
Q.3  Given  
3
2
1
1
) (
?
?
?
?
z z
z f  .  If C is a counterclockwise path in the z-plane such that 1 1 ? ? z , the value 
of  
?
C
dz z f
j
) (
2
1
?
 is 
(A)  –2 (B)  –1 (C)  1 (D)  2 
 
Q.4  In the circuit shown below, the current through the inductor is 
1 W 
1 W 
j1 W 
- j1 W 
A
A
V
+           - -        +
V 1 0
1 0
1 0
1 0
 
(A)  A
1
2
j ?
 (B)  A
1
1
j ?
?
 (C)  A
1
1
j ?
 
(D)  0 A 
 
Q.5  The impedance looking into nodes 1 and 2 in the given circuit is 
i
b
99i
b
9k W
100 W
1k W
1
2
 
(A)  50 W  (B)  100 W (C)  5 k W (D)  10.1 k W 
 
Q.6  A system with transfer function 
                                                     
) 4 ( ) 3 ( ) 1 (
) 2 ( ) 9 (
) (
2
? ? ?
? ?
?
s s s
s s
s G  
is excited by ) ( sin t ? . The steady-state output of the system is zero at 
(A)   rad/s 1 ? ?  (B)  rad/s 2 ? ? 
(C)   rad/s 3 ? ? (D)  rad/s 4 ? ? 
Page 3


2012                                                                                                                           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 the Question Booklet Code 
printed at the right hand top corner of this page does not match with the Booklet Code on the ORS, 
exchange the booklet immediately with a new sealed Question Booklet.  
 
3. On the right half of the ORS, using ONLY a black ink ball point pen, (i) darken the bubble 
corresponding to your test paper code and 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, please 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 ball point 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 ball point 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 unattempted, 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. Unattempted questions 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 paper itself. Blank pages are provided at the end of the 
question paper 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 ball point pen. 
 
Name 
 
 
Registration Number EE 
       
 
A 2012                                                                                                                                          ELECTRICAL ENGINEERING - EE                                                                                                                        
 
EE-A 2/20 
Q. 1 – Q. 25 carry one mark each. 
Q.1  Two independent random variables X and Y are uniformly distributed in the interval [–1,1]. The 
probability that max[X, Y] is less than 2 1 is 
(A)  4 3 (B)  16 9 (C)  4 1  (D)  3 2  
 
Q.2  
If 1 ? ? x , then the value of 
x
x is 
(A)    
2 / ? ?
e (B)    
2 / ?
e 
(C)     x (D)   1 
 
Q.3  Given  
3
2
1
1
) (
?
?
?
?
z z
z f  .  If C is a counterclockwise path in the z-plane such that 1 1 ? ? z , the value 
of  
?
C
dz z f
j
) (
2
1
?
 is 
(A)  –2 (B)  –1 (C)  1 (D)  2 
 
Q.4  In the circuit shown below, the current through the inductor is 
1 W 
1 W 
j1 W 
- j1 W 
A
A
V
+           - -        +
V 1 0
1 0
1 0
1 0
 
(A)  A
1
2
j ?
 (B)  A
1
1
j ?
?
 (C)  A
1
1
j ?
 
(D)  0 A 
 
Q.5  The impedance looking into nodes 1 and 2 in the given circuit is 
i
b
99i
b
9k W
100 W
1k W
1
2
 
(A)  50 W  (B)  100 W (C)  5 k W (D)  10.1 k W 
 
Q.6  A system with transfer function 
                                                     
) 4 ( ) 3 ( ) 1 (
) 2 ( ) 9 (
) (
2
? ? ?
? ?
?
s s s
s s
s G  
is excited by ) ( sin t ? . The steady-state output of the system is zero at 
(A)   rad/s 1 ? ?  (B)  rad/s 2 ? ? 
(C)   rad/s 3 ? ? (D)  rad/s 4 ? ? 
2012                                                                                                                                          ELECTRICAL ENGINEERING - EE                                                                                                                        
 
EE-A 3/20 
Q.7  In the sum of products function 
?
? ) 5 , 4 , 3 , 2 ( ) , , ( Z Y X f , the prime implicants are 
(A) Y X Y X , (B)  Z Y X Z Y X Y X , , 
(C) Y X Z Y X Z Y X , , (D) Z Y X Z Y X Z Y X Z Y X , , , 
 
Q.8  If ] [ ) 2 / 1 ( ) 3 / 1 ( ] [ n u n x
n n
? ? , then the region of convergence (ROC) of its Z-transform in the  
Z-plane will be 
(A)  3
3
1
? ? z (B)  
2
1
3
1
? ? z (C)  3
2
1
? ? z (D)  z ?
3
1
 
 
Q.9  The bus admittance matrix of a three-bus three-line system is 
 
?
?
?
?
?
?
?
?
?
?
?
?
?
?
13 10 5
10 18 10
5 10 13
j Y 
If each transmission line between the two buses is represented by an equivalent ??network, the 
magnitude of the shunt susceptance of the line connecting bus 1 and 2 is  
(A)  4 (B)  2  (C)   1 (D)   0 
 
Q.10  The slip of an induction motor normally does not depend on  
(A)  rotor speed (B)  synchronous speed 
(C)  shaft torque (D)  core-loss component 
 
Q.11  A two-phase load draws the following phase currents: ) sin( ) (
1 1
? ? ? ? t I t i
m
, 
) cos( ) (
2 2
? ? ? ? t I t i
m
. These currents are balanced if  
1
? is equal to 
(A)  
2
? ? (B)  
2
? (C)  ) 2 / (
2
? ? ? (D)  ) 2 / (
2
? ? ? 
 
Q.12  A periodic voltage waveform observed on an oscilloscope across a load is shown. A permanent 
magnet moving coil (PMMC) meter connected across the same load reads 
 
 
 
 
 
 
 
 
(A)  4 V (B)  5 V (C)  8 V (D)  10 V 
 
Q.13  The bridge method commonly used for finding mutual inductance is 
(A)  Heaviside Campbell bridge (B)  Schering bridge 
(C)  De Sauty bridge (D)  Wien bridge 
 
10V 
5V 
v(t) 
0 10 12 20 
-5V 
time (ms) 
Page 4


2012                                                                                                                           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 the Question Booklet Code 
printed at the right hand top corner of this page does not match with the Booklet Code on the ORS, 
exchange the booklet immediately with a new sealed Question Booklet.  
 
3. On the right half of the ORS, using ONLY a black ink ball point pen, (i) darken the bubble 
corresponding to your test paper code and 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, please 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 ball point 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 ball point 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 unattempted, 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. Unattempted questions 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 paper itself. Blank pages are provided at the end of the 
question paper 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 ball point pen. 
 
Name 
 
 
Registration Number EE 
       
 
A 2012                                                                                                                                          ELECTRICAL ENGINEERING - EE                                                                                                                        
 
EE-A 2/20 
Q. 1 – Q. 25 carry one mark each. 
Q.1  Two independent random variables X and Y are uniformly distributed in the interval [–1,1]. The 
probability that max[X, Y] is less than 2 1 is 
(A)  4 3 (B)  16 9 (C)  4 1  (D)  3 2  
 
Q.2  
If 1 ? ? x , then the value of 
x
x is 
(A)    
2 / ? ?
e (B)    
2 / ?
e 
(C)     x (D)   1 
 
Q.3  Given  
3
2
1
1
) (
?
?
?
?
z z
z f  .  If C is a counterclockwise path in the z-plane such that 1 1 ? ? z , the value 
of  
?
C
dz z f
j
) (
2
1
?
 is 
(A)  –2 (B)  –1 (C)  1 (D)  2 
 
Q.4  In the circuit shown below, the current through the inductor is 
1 W 
1 W 
j1 W 
- j1 W 
A
A
V
+           - -        +
V 1 0
1 0
1 0
1 0
 
(A)  A
1
2
j ?
 (B)  A
1
1
j ?
?
 (C)  A
1
1
j ?
 
(D)  0 A 
 
Q.5  The impedance looking into nodes 1 and 2 in the given circuit is 
i
b
99i
b
9k W
100 W
1k W
1
2
 
(A)  50 W  (B)  100 W (C)  5 k W (D)  10.1 k W 
 
Q.6  A system with transfer function 
                                                     
) 4 ( ) 3 ( ) 1 (
) 2 ( ) 9 (
) (
2
? ? ?
? ?
?
s s s
s s
s G  
is excited by ) ( sin t ? . The steady-state output of the system is zero at 
(A)   rad/s 1 ? ?  (B)  rad/s 2 ? ? 
(C)   rad/s 3 ? ? (D)  rad/s 4 ? ? 
2012                                                                                                                                          ELECTRICAL ENGINEERING - EE                                                                                                                        
 
EE-A 3/20 
Q.7  In the sum of products function 
?
? ) 5 , 4 , 3 , 2 ( ) , , ( Z Y X f , the prime implicants are 
(A) Y X Y X , (B)  Z Y X Z Y X Y X , , 
(C) Y X Z Y X Z Y X , , (D) Z Y X Z Y X Z Y X Z Y X , , , 
 
Q.8  If ] [ ) 2 / 1 ( ) 3 / 1 ( ] [ n u n x
n n
? ? , then the region of convergence (ROC) of its Z-transform in the  
Z-plane will be 
(A)  3
3
1
? ? z (B)  
2
1
3
1
? ? z (C)  3
2
1
? ? z (D)  z ?
3
1
 
 
Q.9  The bus admittance matrix of a three-bus three-line system is 
 
?
?
?
?
?
?
?
?
?
?
?
?
?
?
13 10 5
10 18 10
5 10 13
j Y 
If each transmission line between the two buses is represented by an equivalent ??network, the 
magnitude of the shunt susceptance of the line connecting bus 1 and 2 is  
(A)  4 (B)  2  (C)   1 (D)   0 
 
Q.10  The slip of an induction motor normally does not depend on  
(A)  rotor speed (B)  synchronous speed 
(C)  shaft torque (D)  core-loss component 
 
Q.11  A two-phase load draws the following phase currents: ) sin( ) (
1 1
? ? ? ? t I t i
m
, 
) cos( ) (
2 2
? ? ? ? t I t i
m
. These currents are balanced if  
1
? is equal to 
(A)  
2
? ? (B)  
2
? (C)  ) 2 / (
2
? ? ? (D)  ) 2 / (
2
? ? ? 
 
Q.12  A periodic voltage waveform observed on an oscilloscope across a load is shown. A permanent 
magnet moving coil (PMMC) meter connected across the same load reads 
 
 
 
 
 
 
 
 
(A)  4 V (B)  5 V (C)  8 V (D)  10 V 
 
Q.13  The bridge method commonly used for finding mutual inductance is 
(A)  Heaviside Campbell bridge (B)  Schering bridge 
(C)  De Sauty bridge (D)  Wien bridge 
 
10V 
5V 
v(t) 
0 10 12 20 
-5V 
time (ms) 
2012                                                                                                                                          ELECTRICAL ENGINEERING - EE                                                                                                                        
 
EE-A 4/20 
Q.14  With initial condition 5 . 0 ) 1 ( ? x , the solution of the differential equation  
 t x
dt
dx
t ? ?  is 
(A)  
2
1
? ? t x (B)  
2
1
2
? ? t x 
(C)  
2
2
t
x ? 
(D)  
2
t
x ? 
 
Q.15  The unilateral Laplace transform of f (t) is 
1
1
2
? ? s s
 . The unilateral Laplace transform of ) (t f t is 
(A) 
2 2
) 1 ( ? ?
?
s s
s
 (B)   
2 2
) 1 (
1 2
? ?
?
?
s s
s
 
(C)  
2 2
) 1 ( ? ? s s
s
 (D)  
2 2
) 1 (
1 2
? ?
?
s s
s
 
 
Q.16  The average power delivered to an impedance ) 3 4 ( j ? W?by a current ) 100 100 ( cos 5 ? t ? A is 
(A)   44.2 W (B)   50 W (C)    62.5 W (D)  125 W 
 
Q.17  In the following figure, C
1 
 and C
2
 are ideal capacitors. C
1
 has been charged to 12 V before the ideal 
switch S is closed at t = 0. The current i(t) for all t is  
C
1
t = 0
C
2
i(t)
S
 
(A)  zero (B)  a step function 
(C)  an exponentially decaying function (D)  an impulse function 
 
Q.18  The i-v characteristics of the diode in the circuit given below are  
                                            
?
?
?
?
?
?
?
?
?
V 7 . 0 , A 0
V 7 . 0 , A
500
7 . 0
v
v
v
i  
The current in the circuit is 
+
1k W
10V
-
i
+
-
v
 
(A)  10 mA  (B)  9.3 mA  (C)  6.67 mA (D)  6.2 mA 
 
Q.19  The output Y of a 2-bit comparator is logic 1 whenever the 2-bit input A is greater than the 2-bit 
input B. The number of combinations for which the output is logic 1, is 
(A)  4 (B)  6 (C)  8 (D)  10 
Page 5


2012                                                                                                                           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 the Question Booklet Code 
printed at the right hand top corner of this page does not match with the Booklet Code on the ORS, 
exchange the booklet immediately with a new sealed Question Booklet.  
 
3. On the right half of the ORS, using ONLY a black ink ball point pen, (i) darken the bubble 
corresponding to your test paper code and 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, please 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 ball point 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 ball point 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 unattempted, 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. Unattempted questions 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 paper itself. Blank pages are provided at the end of the 
question paper 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 ball point pen. 
 
Name 
 
 
Registration Number EE 
       
 
A 2012                                                                                                                                          ELECTRICAL ENGINEERING - EE                                                                                                                        
 
EE-A 2/20 
Q. 1 – Q. 25 carry one mark each. 
Q.1  Two independent random variables X and Y are uniformly distributed in the interval [–1,1]. The 
probability that max[X, Y] is less than 2 1 is 
(A)  4 3 (B)  16 9 (C)  4 1  (D)  3 2  
 
Q.2  
If 1 ? ? x , then the value of 
x
x is 
(A)    
2 / ? ?
e (B)    
2 / ?
e 
(C)     x (D)   1 
 
Q.3  Given  
3
2
1
1
) (
?
?
?
?
z z
z f  .  If C is a counterclockwise path in the z-plane such that 1 1 ? ? z , the value 
of  
?
C
dz z f
j
) (
2
1
?
 is 
(A)  –2 (B)  –1 (C)  1 (D)  2 
 
Q.4  In the circuit shown below, the current through the inductor is 
1 W 
1 W 
j1 W 
- j1 W 
A
A
V
+           - -        +
V 1 0
1 0
1 0
1 0
 
(A)  A
1
2
j ?
 (B)  A
1
1
j ?
?
 (C)  A
1
1
j ?
 
(D)  0 A 
 
Q.5  The impedance looking into nodes 1 and 2 in the given circuit is 
i
b
99i
b
9k W
100 W
1k W
1
2
 
(A)  50 W  (B)  100 W (C)  5 k W (D)  10.1 k W 
 
Q.6  A system with transfer function 
                                                     
) 4 ( ) 3 ( ) 1 (
) 2 ( ) 9 (
) (
2
? ? ?
? ?
?
s s s
s s
s G  
is excited by ) ( sin t ? . The steady-state output of the system is zero at 
(A)   rad/s 1 ? ?  (B)  rad/s 2 ? ? 
(C)   rad/s 3 ? ? (D)  rad/s 4 ? ? 
2012                                                                                                                                          ELECTRICAL ENGINEERING - EE                                                                                                                        
 
EE-A 3/20 
Q.7  In the sum of products function 
?
? ) 5 , 4 , 3 , 2 ( ) , , ( Z Y X f , the prime implicants are 
(A) Y X Y X , (B)  Z Y X Z Y X Y X , , 
(C) Y X Z Y X Z Y X , , (D) Z Y X Z Y X Z Y X Z Y X , , , 
 
Q.8  If ] [ ) 2 / 1 ( ) 3 / 1 ( ] [ n u n x
n n
? ? , then the region of convergence (ROC) of its Z-transform in the  
Z-plane will be 
(A)  3
3
1
? ? z (B)  
2
1
3
1
? ? z (C)  3
2
1
? ? z (D)  z ?
3
1
 
 
Q.9  The bus admittance matrix of a three-bus three-line system is 
 
?
?
?
?
?
?
?
?
?
?
?
?
?
?
13 10 5
10 18 10
5 10 13
j Y 
If each transmission line between the two buses is represented by an equivalent ??network, the 
magnitude of the shunt susceptance of the line connecting bus 1 and 2 is  
(A)  4 (B)  2  (C)   1 (D)   0 
 
Q.10  The slip of an induction motor normally does not depend on  
(A)  rotor speed (B)  synchronous speed 
(C)  shaft torque (D)  core-loss component 
 
Q.11  A two-phase load draws the following phase currents: ) sin( ) (
1 1
? ? ? ? t I t i
m
, 
) cos( ) (
2 2
? ? ? ? t I t i
m
. These currents are balanced if  
1
? is equal to 
(A)  
2
? ? (B)  
2
? (C)  ) 2 / (
2
? ? ? (D)  ) 2 / (
2
? ? ? 
 
Q.12  A periodic voltage waveform observed on an oscilloscope across a load is shown. A permanent 
magnet moving coil (PMMC) meter connected across the same load reads 
 
 
 
 
 
 
 
 
(A)  4 V (B)  5 V (C)  8 V (D)  10 V 
 
Q.13  The bridge method commonly used for finding mutual inductance is 
(A)  Heaviside Campbell bridge (B)  Schering bridge 
(C)  De Sauty bridge (D)  Wien bridge 
 
10V 
5V 
v(t) 
0 10 12 20 
-5V 
time (ms) 
2012                                                                                                                                          ELECTRICAL ENGINEERING - EE                                                                                                                        
 
EE-A 4/20 
Q.14  With initial condition 5 . 0 ) 1 ( ? x , the solution of the differential equation  
 t x
dt
dx
t ? ?  is 
(A)  
2
1
? ? t x (B)  
2
1
2
? ? t x 
(C)  
2
2
t
x ? 
(D)  
2
t
x ? 
 
Q.15  The unilateral Laplace transform of f (t) is 
1
1
2
? ? s s
 . The unilateral Laplace transform of ) (t f t is 
(A) 
2 2
) 1 ( ? ?
?
s s
s
 (B)   
2 2
) 1 (
1 2
? ?
?
?
s s
s
 
(C)  
2 2
) 1 ( ? ? s s
s
 (D)  
2 2
) 1 (
1 2
? ?
?
s s
s
 
 
Q.16  The average power delivered to an impedance ) 3 4 ( j ? W?by a current ) 100 100 ( cos 5 ? t ? A is 
(A)   44.2 W (B)   50 W (C)    62.5 W (D)  125 W 
 
Q.17  In the following figure, C
1 
 and C
2
 are ideal capacitors. C
1
 has been charged to 12 V before the ideal 
switch S is closed at t = 0. The current i(t) for all t is  
C
1
t = 0
C
2
i(t)
S
 
(A)  zero (B)  a step function 
(C)  an exponentially decaying function (D)  an impulse function 
 
Q.18  The i-v characteristics of the diode in the circuit given below are  
                                            
?
?
?
?
?
?
?
?
?
V 7 . 0 , A 0
V 7 . 0 , A
500
7 . 0
v
v
v
i  
The current in the circuit is 
+
1k W
10V
-
i
+
-
v
 
(A)  10 mA  (B)  9.3 mA  (C)  6.67 mA (D)  6.2 mA 
 
Q.19  The output Y of a 2-bit comparator is logic 1 whenever the 2-bit input A is greater than the 2-bit 
input B. The number of combinations for which the output is logic 1, is 
(A)  4 (B)  6 (C)  8 (D)  10 
2012                                                                                                                                          ELECTRICAL ENGINEERING - EE                                                                                                                        
 
EE-A 5/20 
Q.20  Consider the given circuit. 
A
B
CLK
 
In this circuit, the race around  
(A) does not occur (B) occurs when CLK = 0 
(C) occurs when CLK = 1 and A = B = 1 (D) occurs when CLK = 1 and A = B = 0 
 
Q.21  The figure shows a two-generator system supplying a load of P
D 
= 40 MW, connected at bus 2. 
G
1
P
G1
Bus 1 Bus 2
G
2
P
G2
P
D
 = 40 MW
 
The fuel cost of generators G
1
 and G
2 
are : 
MWh / Rs 000 , 10 ) (
1 1
?
G
P C and MWh / Rs 500 , 12 ) (
2 2
?
G
P C 
and the loss in the line is 
2
) pu ( 1 ) pu (
5 . 0
G loss
P P ? , where the loss coefficient is specified in pu on a  
100 MVA base. The most economic power generation schedule in MW is  
(A)  P
G1
 = 20,  P
G2
 = 22 (B)  P
G1
 = 22, P
G2
 = 20 
(C)  P
G1
 = 20,  P
G2
 = 20 (D)  P
G1
 = 0, P
G2
 = 40 
 
Q.22  The sequence components of the fault current are as follows:  I
positive
 = j1.5 pu, I
negative
 = –j0.5 pu, 
I
zero 
= –j1 pu. The type of fault in the system is  
(A)  LG (B)   LL (C)  LLG (D)  LLLG 
 
Q.23  A half-controlled single-phase bridge rectifier is supplying an R-L load. It is operated at a firing 
angle a and the load current is continuous. The fraction of cycle that the freewheeling diode 
conducts is 
(A)  
2
1
 (B)  ? ?
?
?
? 1 (C)  
?
?
2
 (D)  
?
?
 
 
Q.24  The typical ratio of latching current to holding current in a 20 A thyristor is  
(A)  5.0 
(B)  2.0 
(C)  1.0 
(D)  0.5 
 
Read More
Offer running on EduRev: Apply code STAYHOME200 to get INR 200 off on our premium plan EduRev Infinity!

Dynamic Test

Content Category

Related Searches

Free

,

Viva Questions

,

mock tests for examination

,

MCQs

,

pdf

,

shortcuts and tricks

,

Exam

,

Previous Year Questions with Solutions

,

study material

,

practice quizzes

,

Electrical Engineering (EE) 2012 GATE Paper (Set A) with solution Electrical Engineering (EE) Notes | EduRev

,

Objective type Questions

,

Electrical Engineering (EE) 2012 GATE Paper (Set A) with solution Electrical Engineering (EE) Notes | EduRev

,

Summary

,

Important questions

,

past year papers

,

Extra Questions

,

Electrical Engineering (EE) 2012 GATE Paper (Set A) with solution Electrical Engineering (EE) Notes | EduRev

,

Semester Notes

,

video lectures

,

ppt

,

Sample Paper

;