Electrical Engineering (EE) 2004 GATE Paper without solution Electrical Engineering (EE) Notes | EduRev

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Electrical Engineering (EE) : Electrical Engineering (EE) 2004 GATE Paper without solution Electrical Engineering (EE) Notes | EduRev

 Page 1


GATE EE - 2004
  
Q.1 – Q.30 Carry One Mark Each 
1. The value of Z in Figure.Q.1, which is most appropriate to cause parallel
resonance at 500 Hz, is
(a) 125.00 mH
(b) 304.20 µF 
(c) 2.0 µF 
(d) 0.05 µF 
2. A parallel plate capacitor is shown in figure Q.2. It is made of two square metal
plates of 400 mm side. The 14 mm space between the plates is filled with two
layers od dielectrics of 4,6
r
e = mm thick and 2,8
r
e = mm thick. Neglecting 
fringing of fields at the edges the capacitance is
(a) 1298 pF
(b) 944 pF
(c) 354 pF
(d) 257 pF
3. The inductance of a long solenoid of length 1000 mm wound uniformly with 3000
turns on a cylindrical paper tube of 60mm diameter is
(a) 3.2 µH (b) 3.2 mH (c) 32.0 mH (d) 3.2 H
4. Total instantaneous power supplied by a 3-phase ac supply to a balanced R-L
load is
(a) zero   (b) constant
(c) pulsating with zero average (d) pulsating with non-zero average
5. A 500 kVA, 3-phase transformer has iron loses of 300 W and full load copper
losses of 600 W. The percentage load at which the transformer is expected to
have maximum efficiency is
(a) 50.0% (b) 70.7% (c) 141.4% (d) 200.0% 
6. For a given stepper motor, the following torque has the highest numerical value.
(a) Detent torque   (b) Pull-in torque
(c) Pull-out torque   (d) Holding torque
~ 
Z
5O 
2H 
e r=4;d=6mm 
e r=2;d=8mm 
e 0=8.85×10
-12
F/m 
Page 2


GATE EE - 2004
  
Q.1 – Q.30 Carry One Mark Each 
1. The value of Z in Figure.Q.1, which is most appropriate to cause parallel
resonance at 500 Hz, is
(a) 125.00 mH
(b) 304.20 µF 
(c) 2.0 µF 
(d) 0.05 µF 
2. A parallel plate capacitor is shown in figure Q.2. It is made of two square metal
plates of 400 mm side. The 14 mm space between the plates is filled with two
layers od dielectrics of 4,6
r
e = mm thick and 2,8
r
e = mm thick. Neglecting 
fringing of fields at the edges the capacitance is
(a) 1298 pF
(b) 944 pF
(c) 354 pF
(d) 257 pF
3. The inductance of a long solenoid of length 1000 mm wound uniformly with 3000
turns on a cylindrical paper tube of 60mm diameter is
(a) 3.2 µH (b) 3.2 mH (c) 32.0 mH (d) 3.2 H
4. Total instantaneous power supplied by a 3-phase ac supply to a balanced R-L
load is
(a) zero   (b) constant
(c) pulsating with zero average (d) pulsating with non-zero average
5. A 500 kVA, 3-phase transformer has iron loses of 300 W and full load copper
losses of 600 W. The percentage load at which the transformer is expected to
have maximum efficiency is
(a) 50.0% (b) 70.7% (c) 141.4% (d) 200.0% 
6. For a given stepper motor, the following torque has the highest numerical value.
(a) Detent torque   (b) Pull-in torque
(c) Pull-out torque   (d) Holding torque
~ 
Z
5O 
2H 
e r=4;d=6mm 
e r=2;d=8mm 
e 0=8.85×10
-12
F/m 
GATE EE - 2004
  
R 
Y 
B 
7. The following motor definitely has a permanent magnet rotor
(a) DC commutator motor (b) Brushless dc motor 
(c) Stepper motor (d) Reluctance motor 
8. The type of single-phase induction motor having the highest power factor at full
load is
(a) shaded pole type   (b) split-phase type
(c) capacitor-start type  (d) capacitor-run type
9. The direction of rotation of a 3-phase induction motor is clockwise when it is
supplied with 3-phase sinusoidal voltage having phase sequence A-B-C. For
counter clockwise rotation of the motor, the phase sequence of the power supply
should be
(a) B-C-A (b) C-A-B 
(c) A-C-B (d) B-C-A or C-A-B 
10. For a linear electromagnetic circuit, the following statement is true.
(a) Field energy is equal to the co-energy
(b) Field energy is greater than the co-energy
(c) Field energy is lesser than the co-energy
(d) Co-energy is zero
11. The rated voltage of a 3-phase power system is given as
(a) rms phase voltage (b) peak phase voltage 
(c) rms line to line voltage (d) peak line to line voltage 
12. The phase sequence of the 3-phase system shown in Figure is
(a) RYB (b) RBY (c) BRY (d) YBR 
13. In thermal power plants, the pressure in the working fluid cycle is developed by
(a) condenser   (b) super heater
(c) feed water pump   (d) turbine
Page 3


GATE EE - 2004
  
Q.1 – Q.30 Carry One Mark Each 
1. The value of Z in Figure.Q.1, which is most appropriate to cause parallel
resonance at 500 Hz, is
(a) 125.00 mH
(b) 304.20 µF 
(c) 2.0 µF 
(d) 0.05 µF 
2. A parallel plate capacitor is shown in figure Q.2. It is made of two square metal
plates of 400 mm side. The 14 mm space between the plates is filled with two
layers od dielectrics of 4,6
r
e = mm thick and 2,8
r
e = mm thick. Neglecting 
fringing of fields at the edges the capacitance is
(a) 1298 pF
(b) 944 pF
(c) 354 pF
(d) 257 pF
3. The inductance of a long solenoid of length 1000 mm wound uniformly with 3000
turns on a cylindrical paper tube of 60mm diameter is
(a) 3.2 µH (b) 3.2 mH (c) 32.0 mH (d) 3.2 H
4. Total instantaneous power supplied by a 3-phase ac supply to a balanced R-L
load is
(a) zero   (b) constant
(c) pulsating with zero average (d) pulsating with non-zero average
5. A 500 kVA, 3-phase transformer has iron loses of 300 W and full load copper
losses of 600 W. The percentage load at which the transformer is expected to
have maximum efficiency is
(a) 50.0% (b) 70.7% (c) 141.4% (d) 200.0% 
6. For a given stepper motor, the following torque has the highest numerical value.
(a) Detent torque   (b) Pull-in torque
(c) Pull-out torque   (d) Holding torque
~ 
Z
5O 
2H 
e r=4;d=6mm 
e r=2;d=8mm 
e 0=8.85×10
-12
F/m 
GATE EE - 2004
  
R 
Y 
B 
7. The following motor definitely has a permanent magnet rotor
(a) DC commutator motor (b) Brushless dc motor 
(c) Stepper motor (d) Reluctance motor 
8. The type of single-phase induction motor having the highest power factor at full
load is
(a) shaded pole type   (b) split-phase type
(c) capacitor-start type  (d) capacitor-run type
9. The direction of rotation of a 3-phase induction motor is clockwise when it is
supplied with 3-phase sinusoidal voltage having phase sequence A-B-C. For
counter clockwise rotation of the motor, the phase sequence of the power supply
should be
(a) B-C-A (b) C-A-B 
(c) A-C-B (d) B-C-A or C-A-B 
10. For a linear electromagnetic circuit, the following statement is true.
(a) Field energy is equal to the co-energy
(b) Field energy is greater than the co-energy
(c) Field energy is lesser than the co-energy
(d) Co-energy is zero
11. The rated voltage of a 3-phase power system is given as
(a) rms phase voltage (b) peak phase voltage 
(c) rms line to line voltage (d) peak line to line voltage 
12. The phase sequence of the 3-phase system shown in Figure is
(a) RYB (b) RBY (c) BRY (d) YBR 
13. In thermal power plants, the pressure in the working fluid cycle is developed by
(a) condenser   (b) super heater
(c) feed water pump   (d) turbine
GATE EE - 2004
  
14. For harnessing low variable water heads, the suitable hydraulic turbine with high
percentage of reaction and runner adjustable vanes is
(a) Kaplan (b) Francis (c) Pelton (d) Impeller
15. The transmission line distance protection relay having the property of being
inherently directional is
(a) impedance relay   (b) MHO relay
(c) OHM relay   (d) reactance relay
16. The current through the Zener diode in figure is
(a) 33 mA (b) 3.3 mA (c) 2 mA (d) 0 mA 
17. Two perfectly matched silicon transistors are connected as shown in figure. The
value of the current I is
(a) 0 mA (b) 2.3 mA (c) 4.3 mA (d) 7.3 mA 
1kO 
+3V 
I 
ß=1000 ß=1000 
0.7V 
+ 
- 
-5V 
2.2kO 
3.5V 
I Z 
R 1 
+ 
- 
10V 
R Z=0.1kO 
V Z=3.3V 
Page 4


GATE EE - 2004
  
Q.1 – Q.30 Carry One Mark Each 
1. The value of Z in Figure.Q.1, which is most appropriate to cause parallel
resonance at 500 Hz, is
(a) 125.00 mH
(b) 304.20 µF 
(c) 2.0 µF 
(d) 0.05 µF 
2. A parallel plate capacitor is shown in figure Q.2. It is made of two square metal
plates of 400 mm side. The 14 mm space between the plates is filled with two
layers od dielectrics of 4,6
r
e = mm thick and 2,8
r
e = mm thick. Neglecting 
fringing of fields at the edges the capacitance is
(a) 1298 pF
(b) 944 pF
(c) 354 pF
(d) 257 pF
3. The inductance of a long solenoid of length 1000 mm wound uniformly with 3000
turns on a cylindrical paper tube of 60mm diameter is
(a) 3.2 µH (b) 3.2 mH (c) 32.0 mH (d) 3.2 H
4. Total instantaneous power supplied by a 3-phase ac supply to a balanced R-L
load is
(a) zero   (b) constant
(c) pulsating with zero average (d) pulsating with non-zero average
5. A 500 kVA, 3-phase transformer has iron loses of 300 W and full load copper
losses of 600 W. The percentage load at which the transformer is expected to
have maximum efficiency is
(a) 50.0% (b) 70.7% (c) 141.4% (d) 200.0% 
6. For a given stepper motor, the following torque has the highest numerical value.
(a) Detent torque   (b) Pull-in torque
(c) Pull-out torque   (d) Holding torque
~ 
Z
5O 
2H 
e r=4;d=6mm 
e r=2;d=8mm 
e 0=8.85×10
-12
F/m 
GATE EE - 2004
  
R 
Y 
B 
7. The following motor definitely has a permanent magnet rotor
(a) DC commutator motor (b) Brushless dc motor 
(c) Stepper motor (d) Reluctance motor 
8. The type of single-phase induction motor having the highest power factor at full
load is
(a) shaded pole type   (b) split-phase type
(c) capacitor-start type  (d) capacitor-run type
9. The direction of rotation of a 3-phase induction motor is clockwise when it is
supplied with 3-phase sinusoidal voltage having phase sequence A-B-C. For
counter clockwise rotation of the motor, the phase sequence of the power supply
should be
(a) B-C-A (b) C-A-B 
(c) A-C-B (d) B-C-A or C-A-B 
10. For a linear electromagnetic circuit, the following statement is true.
(a) Field energy is equal to the co-energy
(b) Field energy is greater than the co-energy
(c) Field energy is lesser than the co-energy
(d) Co-energy is zero
11. The rated voltage of a 3-phase power system is given as
(a) rms phase voltage (b) peak phase voltage 
(c) rms line to line voltage (d) peak line to line voltage 
12. The phase sequence of the 3-phase system shown in Figure is
(a) RYB (b) RBY (c) BRY (d) YBR 
13. In thermal power plants, the pressure in the working fluid cycle is developed by
(a) condenser   (b) super heater
(c) feed water pump   (d) turbine
GATE EE - 2004
  
14. For harnessing low variable water heads, the suitable hydraulic turbine with high
percentage of reaction and runner adjustable vanes is
(a) Kaplan (b) Francis (c) Pelton (d) Impeller
15. The transmission line distance protection relay having the property of being
inherently directional is
(a) impedance relay   (b) MHO relay
(c) OHM relay   (d) reactance relay
16. The current through the Zener diode in figure is
(a) 33 mA (b) 3.3 mA (c) 2 mA (d) 0 mA 
17. Two perfectly matched silicon transistors are connected as shown in figure. The
value of the current I is
(a) 0 mA (b) 2.3 mA (c) 4.3 mA (d) 7.3 mA 
1kO 
+3V 
I 
ß=1000 ß=1000 
0.7V 
+ 
- 
-5V 
2.2kO 
3.5V 
I Z 
R 1 
+ 
- 
10V 
R Z=0.1kO 
V Z=3.3V 
GATE EE - 2004
  
18. The feedback used in the circuit shown in figure can be classified as
(a) shunt-series feedback  (b) shunt-shunt feedback 
(c) series-shunt feedback  (d) series-series feedback 
19. The digital circuit using two inverters shown in figure will act as
(a) a bistable multi-vibrator
(b) an astable mutli-vibrator
(c) a monostable multi-vibrator
(d) an oscillator
20. The voltage comparator shown in figure can be used in the analog-to-digital
conversion as
(a) a 1-bit quantizer
(b) a 2-bit quantizer 
(c) a 4-bit quantizer 
(d) a 8-bit quantizer
21. The Nyquist plot of loop transfer function G(s) H(s) of a closed loop control
system passes through the point (-1,j0) in the G(s) H(s) plane. The phase margin
of the system is
(a) 0° (b) 45° (c) 90° (d) 180° 
22. Consider the function ( )
( )
2
5
3 2
F s
s s s
=
+ +
, where F(s) is the Laplace transform 
of the function f(t). the initial value of f(t) is equal to 
(a) 5 (b) 
5
2
(c) 
5
3
(d) 0 
R F 
R B 
R E 
C=x 
C=x 
C=x R 1 
R C 
V CC 
R S 
+ 
- 
V O 
V 1 
V 2 
Page 5


GATE EE - 2004
  
Q.1 – Q.30 Carry One Mark Each 
1. The value of Z in Figure.Q.1, which is most appropriate to cause parallel
resonance at 500 Hz, is
(a) 125.00 mH
(b) 304.20 µF 
(c) 2.0 µF 
(d) 0.05 µF 
2. A parallel plate capacitor is shown in figure Q.2. It is made of two square metal
plates of 400 mm side. The 14 mm space between the plates is filled with two
layers od dielectrics of 4,6
r
e = mm thick and 2,8
r
e = mm thick. Neglecting 
fringing of fields at the edges the capacitance is
(a) 1298 pF
(b) 944 pF
(c) 354 pF
(d) 257 pF
3. The inductance of a long solenoid of length 1000 mm wound uniformly with 3000
turns on a cylindrical paper tube of 60mm diameter is
(a) 3.2 µH (b) 3.2 mH (c) 32.0 mH (d) 3.2 H
4. Total instantaneous power supplied by a 3-phase ac supply to a balanced R-L
load is
(a) zero   (b) constant
(c) pulsating with zero average (d) pulsating with non-zero average
5. A 500 kVA, 3-phase transformer has iron loses of 300 W and full load copper
losses of 600 W. The percentage load at which the transformer is expected to
have maximum efficiency is
(a) 50.0% (b) 70.7% (c) 141.4% (d) 200.0% 
6. For a given stepper motor, the following torque has the highest numerical value.
(a) Detent torque   (b) Pull-in torque
(c) Pull-out torque   (d) Holding torque
~ 
Z
5O 
2H 
e r=4;d=6mm 
e r=2;d=8mm 
e 0=8.85×10
-12
F/m 
GATE EE - 2004
  
R 
Y 
B 
7. The following motor definitely has a permanent magnet rotor
(a) DC commutator motor (b) Brushless dc motor 
(c) Stepper motor (d) Reluctance motor 
8. The type of single-phase induction motor having the highest power factor at full
load is
(a) shaded pole type   (b) split-phase type
(c) capacitor-start type  (d) capacitor-run type
9. The direction of rotation of a 3-phase induction motor is clockwise when it is
supplied with 3-phase sinusoidal voltage having phase sequence A-B-C. For
counter clockwise rotation of the motor, the phase sequence of the power supply
should be
(a) B-C-A (b) C-A-B 
(c) A-C-B (d) B-C-A or C-A-B 
10. For a linear electromagnetic circuit, the following statement is true.
(a) Field energy is equal to the co-energy
(b) Field energy is greater than the co-energy
(c) Field energy is lesser than the co-energy
(d) Co-energy is zero
11. The rated voltage of a 3-phase power system is given as
(a) rms phase voltage (b) peak phase voltage 
(c) rms line to line voltage (d) peak line to line voltage 
12. The phase sequence of the 3-phase system shown in Figure is
(a) RYB (b) RBY (c) BRY (d) YBR 
13. In thermal power plants, the pressure in the working fluid cycle is developed by
(a) condenser   (b) super heater
(c) feed water pump   (d) turbine
GATE EE - 2004
  
14. For harnessing low variable water heads, the suitable hydraulic turbine with high
percentage of reaction and runner adjustable vanes is
(a) Kaplan (b) Francis (c) Pelton (d) Impeller
15. The transmission line distance protection relay having the property of being
inherently directional is
(a) impedance relay   (b) MHO relay
(c) OHM relay   (d) reactance relay
16. The current through the Zener diode in figure is
(a) 33 mA (b) 3.3 mA (c) 2 mA (d) 0 mA 
17. Two perfectly matched silicon transistors are connected as shown in figure. The
value of the current I is
(a) 0 mA (b) 2.3 mA (c) 4.3 mA (d) 7.3 mA 
1kO 
+3V 
I 
ß=1000 ß=1000 
0.7V 
+ 
- 
-5V 
2.2kO 
3.5V 
I Z 
R 1 
+ 
- 
10V 
R Z=0.1kO 
V Z=3.3V 
GATE EE - 2004
  
18. The feedback used in the circuit shown in figure can be classified as
(a) shunt-series feedback  (b) shunt-shunt feedback 
(c) series-shunt feedback  (d) series-series feedback 
19. The digital circuit using two inverters shown in figure will act as
(a) a bistable multi-vibrator
(b) an astable mutli-vibrator
(c) a monostable multi-vibrator
(d) an oscillator
20. The voltage comparator shown in figure can be used in the analog-to-digital
conversion as
(a) a 1-bit quantizer
(b) a 2-bit quantizer 
(c) a 4-bit quantizer 
(d) a 8-bit quantizer
21. The Nyquist plot of loop transfer function G(s) H(s) of a closed loop control
system passes through the point (-1,j0) in the G(s) H(s) plane. The phase margin
of the system is
(a) 0° (b) 45° (c) 90° (d) 180° 
22. Consider the function ( )
( )
2
5
3 2
F s
s s s
=
+ +
, where F(s) is the Laplace transform 
of the function f(t). the initial value of f(t) is equal to 
(a) 5 (b) 
5
2
(c) 
5
3
(d) 0 
R F 
R B 
R E 
C=x 
C=x 
C=x R 1 
R C 
V CC 
R S 
+ 
- 
V O 
V 1 
V 2 
GATE EE - 2004
  
23. For a tachometer if ?(t) is the rotor displacement is radians, e(t) is the output
voltage and K
t
 is the tachometer constant in V/rad/sec, then the transfer
function, 
( )
( )
E s
s T
will be 
(a) 
2
t
K s (b) 
t
K
s
(c) 
t
K s (d) 
t
K
24. A dc potentiometer is designed to measure up to about 2V with a slide wire of
300 mm.  A standard cell of emf 1.18 V obtains balance at 600 mm. A test cell is
seen to obtain balance at 680 mm. The emf of the test cell is
(a) 1.00 V (b) 1.34 V (c) 1.50 V (d) 1.70 V 
25. The circuit in figure is used to measure the power consumed by the load. The
current coil and the voltage coil of the wattmeter have 0.02O and 1000O
resistances respectively. The measured power compared to the load power will be
(a) 0.4% less
(b) 0.2% less
(c) 0.2% more
(d) 0.4% more
26. A galvanometer with a full-scale current of 10mA has a resistance of 1000O. The
multiplying power (the ratio of measured current to galvanometer current) of a
100O shunt with this galvanometer is
(a) 110 (b) 100 (c) 11 (d) 10 
27. A bipolar junction transistor (BJT) is used as a power control switch by biasing it
in the cut-off region (OFF state) or in the saturation region (ON state). In the ON
state, for the BJT
(a) both the base-emitter and base-collector junctions are reverse biased
(b) the base-emitter junctions is reverse biased, and the base-collector junction
is forward biased 
(c) the base-emitter junction is forward biased, and the base-collector junction is 
reverse biased 
(d) both the base-emitter and base-collector junctions are forward biased 
28. The circuit in figure shows a full-wave rectifier. The input voltage is 230V (rms)
single-phase ac. The peak reverse voltage across the diodes D1 and D2 is
(a) 100 2 V
(b) 100 V
(c) 50 2 V
(d) 50 V
0.02O 
1000O 
200V 
20A 
Upf 
load 
230V/50-0-50V 
D 2 
230V, 
50 Hz, ac
D 1 
Read More
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