Ee pgecet-2010

EE www.gateforum.com

© All rights reserved by Gateforum Educational Services Pvt. Ltd. No part of this booklet may be reproduced or utilized in any form without the written permission. Discuss this question paper at www.gatementor.com. 1

1. For the network shown below, calculate voltage across the current source (VA)

(A) 14V (B) 6V (C) Zero (D) -14V

2. For the two port network shown below, what is the value of parameter h11

(A) 3 Ohms (B) 4 Ohms (C) 2 Ohms (D) 5 Ohms

3. The graph of a network is shown below which one of the figure shown below is

not a tree of the graph.

(A) (B)

(C) (D)

4. The time constant of the below circuit is

(A) 2

(B) 10

(C) 5

(D) 4

2Ω

10V

2A VA

+

-

1Ω 2Ω

2Ω

1 2

6

3

4 5

1 2

3

1 2

3

6

1

4 5

6

1

3

2F

1F

3A

1F

2Ω

2Ω



5. For the circuit shown below calculate voltage V

(A) 3V (B) 1.5V (C) 6V (D) 0V

6. The transformer used for ultra high frequency applications is

(A) Air core (B) Ferrite core

(C) Silicon steel core (D) Iron core

7. The core loss of a transformer at full load is 0.8 KW. Calculate the core loss at

half the rated load.

(A) 0.8 KW (B) 0.4 KW (C) 0.2 KW (D) 1.6 KW

8. A 220 V DC series motor having armature resistance of 1 Ohm and field

resistance of 1.5 Ohm. Calculate the back e.m.f of the motor if the armature

current is 10A

(A) 210 V (B) 205 V (C) 195 V (D) 200 V

9. The D.C. motor used in Traction application is

(A) D.C shunt motor (B) Separately excited motor

(C) Cumulative compound motor (D) Series motor

10. The voltage regulation of a synchronous generator is given by

(A) −

1 0

1

V V

V (B)

−0 1

1

V V

V (C)

−0 1

0

V V

V (D)

−1 0

0

V V

V

V1=Full load terminal voltage

V0=No load terminal voltage

11. A 100 MVA, 50 HZ synchronous generator having metric constant of 4 sec

calculate its momentum

(A) 2.54 MJ-s/elec.rad (B) 0.044 MJ-s/elec.rad

(C) 0.025 MJ-s/elec.rad (D) 0.05 MJ-s/elec.rad

2Ω 2Ω

2Ω 2Ω

3V V

+

-



12. Below 33 KV transmission lines, which type of insulators are use?

(A) Pin type (B) Suspension type

(C) Both A & B (D) None

13. Which fault is more severe on power system?

(A) LL fault (B) LL-G fault (C) LLL fault (D) L-G fault

14. The loop inductance per meter of a single phase transmission line is

(A) L=2 x 10-7 ln D/r| (B) L=2 x 10-7 ln D/ r|

(C) L=4 x 10-7 ln D/ r| (D) L=4 x 10-7 ln D/ r|

15. Most reliable configuration of distribution system is

(A) Radial main (B) ring main (C) parabolic (D) All of these

16. A second order differential equation is given by + + =2

2

d x dx5 7x 7ydtdt

the

undamped natural frequency is

(A) 1 (B) 5 (C) 2 (D) 7

17. A second order differential equation is given by 2

2

d x dx5 7x 7y,dtdt

+ + = the time

constant of the system is

(A) 0.945 S (B) 0.4S (C) 2.5S (D) 1.05S

18. h(t)=(et)u(t), the system is

(A) Causal and stable (B) Not causal but stable

(C) Casual but not stable (D) Neither causal nor stable

19. Sampling frequency of +π π

Sin20t Sin40t

t t will be

(A) π80

(B) π80

(C) π

80

2 (D)

π40

20. For low resistance measurements which bridge is used

(A) Wheatstone bridge (B) Kelvin bridge

(C) Guarded Wheatstone bridge (D) Maxwell bridge

21. Open loop transfer function of a system is+1

S 1, calculate it’s gain margin

(A) ∞ (B) 1 (C) 1

2 (D) 2



22. Which displacement transducer is used for accurate linear measurement

(A) LVDT (B) Strain gauge (C) Potentiometer (D) All of these

23. In case of voltage source inverter, free-wheeling can be needed for the load of

(A) Inductive nature (B) Capacitive nature

(C) Resistive nature (D) Back e.m.f nature

24. The need of snubber circuit for thyristor is

(A) Triggering (B) dv/dt protection

(C) di/dt protection (D) Phase shifting

25. A 3 phase cyclo converter is used to obtain variable frequency single phase a.c.

output. The single phase A.C. load voltage is 220 V. calculate the r.m.s value of

phase voltage

(A) 376.2 (B) 311.12V (C) 266 V (D) 220 V

26. The output of the logic gates is

(A) 0 (B) 1 (C) A (D) A

27. The number of machine cycles required to execute the following instruction is

L X I D, F0F1H

(A) 2 (B) 3 (C) 4 (D) 5

28. The number of outputs of 8085 micro processor is

(A) 40 (B) 27 (C) 21 (D) 19

29. Calculate the Leq in the circuit shown below.

(A) 4H (B) 2H (C) 3H (D) 5H

A Y

1 Vcc

2H 2H

eqL

0.5H



30. The resistance seen from the terminals A and B is

(A) 5Ω (B) 5− Ω (C) 1

5Ω (D)

1

5− Ω

31. Calculate Voltage across 5 Ohm resistor

(A) 1.111V (B) 2.222V (C) 4V (D) 6V

32. Consider the following figure. Calculate the ZL corresponding to maximum power

transfer.

(A) 20 j70+ Ω (B) 40 j140+ Ω (C) 20 j70− Ω (D) 40 j140− Ω

33. A series RLC circuit is shown below, calculate the quality Factor.

(A) 5 (B) 10 (C) 4 (D) 0

20V−4A

iA

B

V

+

−

4A5Ω

2Ω2Ω2A

sV

+−

20Ω j70Ω

LZ ?=

100V100V

R

L C

20V

~



34. A network has 4-nodes and 7 branches. Calculate the Tree branches.

(A) 4 (B) 5 (C) 3 (D) 2

35. Transformer is a

(A) Variable frequency device (B) Variable Power device

(C) Variable Energy device (D) Static device

36. A Transformer having leakage reactance of 0.5p.u. and resistance of 0.25p.u.

Calculate the power factor for zero voltage regulation.

(A) 0.894 leading (B) 0.497 leading (C) 0.894 lagging (D) 0.447 lagging

37. A DC machine is shown below, calculate E.

(A) 190V

(B) 200V

(C) 180V

(D) 182V

38. An Induction motor is rotating with 980 r.p.m. Calculate the Slip speed.

(A) 20r.p.m. (B) 180 r.p.m. (C) 40rpm (D) Insufficient Data

39. A Synchronous generator is operating at leading power factor then,

(A) b

E V> (B) b

E V< (C) b

E V= (D) b

E V≥

40. An open loop Transfer Function is given by ( ) ( ) ( )( ) ( )k s 1

G s H ss s 2 s 3

+=

+ +

Total number of root locus branches is

(A) 3 (B) 2 (C) 1 (D) 4

41. P.I. controller will improve the

(A) Steady state response (B) Dynamic response

(C) Transient response (D) None

42. Which of the following system is more stable?

(A) (B) (C) (D)

200Ω E −2Ω

10A

200V+

0.5 0.2 0.8 1



43. The surge impedance of a 200km long cable is 40Ω. Then the surge impedance of

a 100km cable is

(A) 20Ω (B) 80 Ω (C) 40 Ω (D) 60 Ω

44. How many CT’s required for differential protection.

(A) 1 (B) 2 (C) 3 (D) 4

45. bus

Z is a

(A) Sparse matrix (B) Unity Matrix (C) Null Matrix (D) Full Matrix

46. Proximity effect will be more in case of

(A) Cables (B) double circuit lines

(C) Bundled conductors (D) Normal conductors

47. A voltage signal of 2 + 2sin tω is given to a PMMC voltmeter. Then the reading

will be

(A) 0Volts (B) 6 Volts (C) 2 Volts (D) None

48. Pair of active Transducers is

(A) Thermal and Solar cell (B) Thermocouple, Thermistor

(C) Thermocouple, Solar cell (D) Solar cell, LVDT

49. The output of piezo electric crystal has

(A) low amplitude and low impedance (B) high amplitude and high impedance

(C) low amplitude and high impedance (D) high amplitude and low impedance

50. IGBT is used for applications in

(A) Low power (B) medium power (C) high power (D) none of these

51. In a Thyristor, ratio of latching current to holding current is

(A) 0.4 (B) 1.0 (C) 2.5 (D) 6.0

52. The output of the 2:1 MUX shown below is

(A) A B⊕ (B) A B⊙ (C) A (D) B

B

B

A

0I

1I

Y



53. A memory system has total of 8 memory chips, each with 12 address lines and 4

data lines. The total size of memory system is

(A) 16kBytes (B) 32 k Bytes (C) 48 k Bytes (D) 64 k Bytes

54. The input to a JK flip flop is J=0, K=1, The output is

(A) NQ (B)

NQ (C) 0 (D) 1

55. The Laplace Transform of a signal ( ) ( )x t t= δ is

(A) 0 (B) 1

s (C) ∞ (D) 1

56. A system is described by ( ) ( ) ( ) ( ) ( )1 1 1y n y n 1 y n 2 x n x n 1 is

2 4 4− − − − = + −

(A) stable is non-causal (B) unstable and causal

(C) unstable and non-causal (D) stable and causal

57. A 4-pole 50Hz Induction motor is rotating at 1400 rpm. Calculate the slip speed.

(A) 1500rpm (B) 1400rpm (C) 100rpm (D) 200rpm

58. The function of a DC motor starter is to

(A) Start the DC motor (B) Limit the starting current

(C) Increase the starting current (D) None of these

59. The effect of Armature reaction is more on

(A) DC shunt machine (B) DC series machine

(C) Both A and B (D) DC series machine

60. Distribution Transformers are designed to have

(A) Core loss > Full load Ohmic loss

(B) Core loss < Full load Ohmic loss

(C) Core loss = Full load Ohmic loss

(D) None of these

61. The Servo Motors are used in

(A) Position Control Systems (B) Speed control systems

(C) Motion Control Systems (D) Both A and B

62. A 400 / 200V Transformer having leakage reactance of 0.4Ω on LV side. What is

the value of leakage reactance on HV side?

(A) 1.6Ω (B) 0.1Ω (C) 0.4Ω (D) 0.2Ω



63. Calculate current I at (t=0+)

(A) 5A (B) -5A (C) 10A (D) -10A

64. Thevenin’s equivalent circuit for the below figure is

(A) th th

V 0.5V; R 0.5= = Ω

(B) th th

V 0V; R 0.5= = Ω

(C) th th

V 0V; R 2= = Ω

(D) th th

V 0V; R 1= = Ω

65. The current ( )I t is as shown in below figure. Calculate the average power

dissipated in 2Ω Resistor is

(A) 4 Watts (B) 8 Watts (C) 16 Watts (D) 2 Watts

66. A series Resonant Circuit is shown below. Calculate the Bandwidth?

(A) 1 (B) 1.25 (C) 0.5 (D) Insufficient data

+−

2Ω t 0=

2H 2Ω

I

20V

0.5Ω

th0.5V

+

−

thV

+

−

0 2 4 6 8 10t

2A

0.5Ω j20− Ω

50Hz

~



67. V-I characteristics of an element is shown below.

The element is

(A) Linear (B) Bilateral (C) Active (D) None

68. A Transmission line has capacitance of 0.2 Fµ and inductance of 2mH. Calculate

the surge impedance of the line.

(A) 200Ω (B) 100Ω (C) 150Ω (D) 250Ω

69. In which of the following buses real and reactive power is not specified.

(A) Swing bus (B) reference bus (C) PV bus (D) A & B

70. The insulation of the modern EHV lines designing is based on

(A) Lightening voltage (B) switching voltage

(C) Corona (D) radio interference

71. A synchronous phase modifier is a synchronous motor running at

(A) No load (B) half the rated load

(C) Rated load (D) over load

72. The sending end voltage of a Transmission line is doubled, then the power

transfer will be

(A) same (B) twice (C) 4 times (D) half

73. A 50MVA, 25kV generator having per unit reactance of 0.4 pu. If this generator is

connected in 100MVA system, the per unit reactance will be

(A) 0.4 p.u. (B) 0.8 p.u. (C) 0.2p.u. (D) 0.1p.u.

74. The polar plot for the Transfer Functions ( ) ( )4

1G s H s

s=

(A) (B)

v

i

ω = ∞0ω = ω = ∞0ω =



(C) (D)

75. Calculate the no. of Breakaway points for the following Transfer function

( ) ( ) ( ) ( )Ks

G s H ss 1 s 2

=+ +

(A) 1 (B) zero (C) 2 (D) 3

76. The pole zero location for phase lead compensator is

(A) (B)

(C) (D)

77. Consider the following equation 4 3 22s s 3s 5s 10 0+ + + + = . How many roots does

this equation have in the right half of s-plane.

(A) 1 (B) 2 (C) 3 (D) 4

78. In 8085, The DAA instruction is used for

(A) Direct Address Accumulator (B) Double Address Accumulator

(C) Decimal Adjust Accumulator (D) Direct Access Accumulator

79. Microprogramming is used in the design of

(A) ALU (B) Control Unit (C) Memory Unit (D) DMA controller

80. The input frequency to a 4-bit mod-10 counter is 16 kHz. What is the output

frequency?

(A) 16kHz (B) 10kHz (C) 1kHz (D) 1.6kHz

81. A 150mA meter has accuracy of

(A) 1%± (B) 4%± (C) 2%± (D) 20%±

ω = ∞ 0ω = ω = ∞ 0ω =



82. Two voltmeters having internal impedances of 40k and 20k. If they are

connected in series and 600V be applied across them, the readings are

(A) 300V, 300V (B) 400V, 200V (C) 200V, 400V (D) None of these

83. The Laplace Transform of the signal ( )u t 5− is

(A) 5

s (B)

1

s (C)

5se

s

− (D)

5e

s

−

84. For a step down DC chopper, the Duty cycle is

(A) Unity (B) <1 (C) >1 (D) None of these

85. Calculate the energy stored by the inductor up to 4sec, the current flowing

through the inductance of 2H is shown below

(A) 0 J (B) 2J (C) 16J (D) 4J

86. The current flowing through a resistance of 2Ω is give by ( )i t 2 2 2 sin t.= + ω

Calculate the average power dissipated by the resistor

(A) 8W (B) 0W (C) 16W (D) 32W

87. Calculate the equivalent resistance between terminals a & b

(A) 3Ω (B) 5Ω (C) 2Ω (D) 4Ω

88. Calculate the resistance offered by the circuit

(A) 4Ω (B) 2Ω (C) 0Ω (D) 2Ω

( )i t

2

21 3 4 ( )t sec

2Ω

2Ω

2Ω

4Ω

4Ω

b

a

I

4Ω

4Ω



89. Calculate the time constant of the circuit shown the

(A) 1sec (B) 2sec (C) 2.5sec (D) 5sec

90. The initial voltage across the capacitor C1 is 20V calculate V1 and V2 at t = ∞

(A) ( ) ( )1 2

C CV 20V;V 0∞ = ∞ =

(B) ( ) ( )1 2c C

V 20V;V 20V∞ = ∞ =

(C) ( ) ( )1 2

C CV 10V;V 10V∞ = ∞ =

(D) ( ) ( )1 2

C CV 0;V 10V∞ = ∞ =

91. In a loaded D.C machine if the brushes are given forward shift then commutation

(A) Improves, speed falls (B) not improves, speed falls

(C) Not improve, speed raises (D) Improves, speed raises

92. If the frequency increases, then eddy current losses in a transformer

(A) No change (B) Decreases (C) Increases (D) None of the above

93. A synchronous generator having 4 poles operating from 50Hz supply, calculate

the speed of the generator

(A) 1500 r.p.m (B) 2000 r.p.m (C) 3000 r.p.m (D) 6000 r.p.m

94. If S

ω is the synchronous speed of a 3-phase induction motor. Then the maximum

torque developed is

(A) ( )2

1

s 2

3V

2vω (B) ( )

2

1

s 2

3V

2xω (C)

2

1

s 2

3V

vω (D)

2

1

s 2

3V

xω

95. The rotor speed of a 3 − φ induction motor is

(A) Less than the synchronous speed (B) Equal to synchronous speed

(C) Generator than synchronous speed (D) None

96. The expression for acceleration of a synchronous generator is

(A) aP

H (B) a

P

GH (C) a

P

G (D) a

P

M

1Ωt=02Ω

2H

2Ω11v

±

+

−CV (0 ) 20V− = 1

e 2F=2

C 2F=

t 0=



97. An 100 MVA alternator is having synchronous reactance of 0.5Ω calculate its fault

MVA

(A) 100 MVA (B) 1000 MVA (C) 200 MVA (D) 50 MVA

98. A voltage bus is treated as a load bus in subsequent the ratio when n its

(A) Voltage limit is violated (B) Active power unit violated

(C) Both as b (D) Reactive power limit is violated

99. The three sequence networks are connected in parallel for

(A) L-L fault (B) LLG fault (C) L-G fault (C) LLL fault

100. If a b c aoI I I .Then I= = is

(A) aI

3 (B)

a3I (C) 0 (D) Ia

101. The maximum number of NAND gates required to realize the two input EX-OR

gate.

(A) 2 (B) 3 (C) 4 (D) 5

102. Half adder can be realized with

(A) NAND gates (B) NOR gates (C) Both A and B (D) EX-OR gate

103. What is the range of a1

32

digital meter

(A) 0 to 1999 (B) 0 to 1500 (C) 0 to 999 (D) 0 to 19999

104. How many time base circuit does a dual trace CRO has?

(A) 1 (B) 2 (C) 3 (D) 4

105. The pressure coil of an Induction type energy meter is

(A) Highly resistive (B) Highly inductive

(C) Both ash (D) None

106. Find out the rank of the matrix

×

…

…

…

⋮ … … … ⋮

…

1

1

1

1p p

a b p

a b p

a b p

a b p

(A) 0 (B) -1 (C) 1 (D) p



107. Find out the Eigen values of the given matrix

7 0 0

0 5 0

0 0 6

(A) -1, -1, 2 (B) 2, 0, 1 (C) All of these (D) None of these

108. Solve the system of linear equations.

2 5

2 7 12

3 6 3 19

− + =+ + =− + =

x y z

x y z

x y z

(A) unique solution (B) infinite solution (C) no solution (D) none of these

109. If

1 0 1

0 0 1 ,

0 1 0

A

=

then what is the value of 3 2?A A−

(A) ( )2 −A A I (B) ( )−A I (C) ( )+A I (D) ( )−A A I

110. Consider the following function:

( ) 5f x x x= + +

(A) f is continuous and differentiable at 0x =

(B) f is continuous but not differentiable at 0x =

(C) f is differentiable but not continuous at 0x =

(D) f is neither differentiable nor continuous at 0=x

111. The value of ( )n

cosnlim n 1

n→∞≥ is

(A) 0 (B) 1 (C) ∝ (D) None of these

112. Solution of differential equation 20

dyy

dx+ = is

(A) 1

yx c

=+

(B) 3

3

xy c

−= + (C) x

ce (D) unsolvable

113. For the differential equation 5 0dy

ydx

+ = with ( )0 1y = . The general solution i:

(A) 5te (B) 5t

e−

(C) 55

te

− (D) 5te

−

114. Differential equation 2

210 25 0

d x dxx

dtdt+ + = has solution of the form

(A) ( ) 5

1 2

tc tc e

−+ (B) 2

1

tc e

− (C) 5 5

1 2

t tc e c e

− + (D) 5 5

1 2

t tc e c te

− +



115. The following differential equation

2

2

d yy 0 with y(0) 0 and y(n ) 1

dx+ = = π = has

(A) unique solution (B) finite solution

(C) infinite solution (D) no solution

116. Which of the following depends on the choice of a particular co-ordinate system?

(A) gradient (B) divergence

(C) gradient and curl (D) None of these

117. If .r xi yi zk= + +

ɵ ɵ Then 5

r∇ is equal to

(A) 35.

2r r

(B) 35 .r r

(C) 45 .r r

(D) None of these

118. If curl 0R =

then the value of ( ). R r∇ ×

is equal to:

(A) 0 (B) 3 (C) r

(D) None of these

119. Analytic function for 3 23u y x y= − is

(A) ( )3i z c− (B) ( )3

i z c+

(C) Both (A) and (C) (D) None of these

120. Polar form of Cauchy-Riemann equations are

(A) 1 1

,u v v u

r r r rθ θ∂ ∂ ∂ − ∂= =∂ ∂ ∂ ∂

(B) 1 1

,u u v v

r r r rθ θ∂ − ∂ ∂ ∂= =∂ ∂ ∂ ∂

(C) ,

u v v vr r

r rθ θ∂ ∂ ∂ ∂= = −∂ ∂ ∂ ∂

(D) None of these

Ee pgecet-2010

Technology

stable d

ln d r d

stable b

c shunt motor b

load voltage

gateforum educational

bc d v1 v1 v0 v0 v1

ln d r15