Electrical Engineering Gate 2014 Set-2 Questions with Answer

Ques 1 GATE 2014 SET-2


The transistor in the given circuit should always be in active region. Take VCE(sat)=0.2V, VBE=0.7V. The maximum value of RC in kΩ which can be used, is ________.


(22.5) is the correct answer.

Ques 2 GATE 2014 SET-2


The sinusoidal ac source in the figure has an rms value of 20/√2 V. Considering all possible values of RL, the minimum value of RS in Ω to avoid burnout of the Zener diode is ________.


(300) is the correct answer.

Ques 3 GATE 2014 SET-2


Assuming the diodes to be ideal in the figure, for the output to be clipped, the input voltage vi must be outside the range

A

-1 V to -2 V

B

-2 V to -4 V

C

+1 V to -2 V

D

+2 V to -4 V


(a) is the correct answer.

Ques 4 GATE 2014 SET-2


Two identical coupled inductors are connected in series. The measured inductances for the two possible series connections are 380μH and 240μH. Their mutual inductance in μH is ________.


(35) is the correct answer.

Ques 5 GATE 2014 SET-2


The switch SW shown in the circuit is kept at position '1' for a long duration. At t=0+, the switch is moved to position '2'. Assuming |Vo2| > |Vo1|, the voltage vc(t) across the capacitor is

A

vc(t) = -Vo2(1-e-t/2RC) - Vo1

B

vc(t) = Vo2(1-e-t/2RC) + Vo1

C

vc(t) = -(Vo2+Vo1)(1-e-t/2RC) - Vo1

D

vc(t) = (Vo2-Vo1)(1-e-t/2RC) + Vo1


(d) is the correct answer.

Ques 6 GATE 2014 SET-2


Assuming an ideal transformer, the Thevenin's equivalent voltage and impedance as seen from the terminals x and y for the circuit in figure are

A

2sin(ωt), 4Ω

B

1sin(ωt), 1Ω

C

1sin(ωt), 2Ω

D

2sin(ωt), 0.5Ω


(a) is the correct answer.

Ques 7 GATE 2014 SET-2


The voltage across the capacitor, as shown in the figure, is expressed as
vc(t) = A1sin(ω1t - θ1) + A2sin(ω2t - θ2).


The values of A1 and A2 respectively, are

A

2.0 and 1.98

B

2.0 and 4.20

C

2.5 and 3.50

D

5.0 and 6.40


(a) is the correct answer.

Ques 8 GATE 2014 SET-2


The total power dissipated in the circuit, shown in the figure, is 1 kW. The voltmeter, across the load, reads 200 V. The value of XL is ________.


(17.3) is the correct answer.

Ques 9 GATE 2014 SET-2


Consider an LTI system with transfer function H(s) = 1/(s(s+4)). If the input to the system is cos(3t) and the steady state output is Asin(3t+α), then the value of A is

A

1/30

B

1/15

C

3/4

D

4/3


(b) is the correct answer.

Ques 10 GATE 2014 SET-2


The closed-loop transfer function of a system is T(s) = 4/(s2+0.4s+4). The steady state error due to unit step input is ________.


(0) is the correct answer.

Ques 11 GATE 2014 SET-2


The state transition matrix for the system

is

A

[[et,0],[et,et]]

B

[[et,0],[t2et,et]]

C

[[et,0],[tet,et]]

D

[[et,tet],[0,et]]


(c) is the correct answer.

Ques 12 GATE 2014 SET-2


A discrete system is represented by the difference equation

. It has initial conditions X1(0)=1; X2(0)=0. The pole locations of the system for a=1, are

A

1±j0

B

-1±j0

C

±1+j0

D

0±j1


(a) is the correct answer.

Ques 13 GATE 2014 SET-2


Which of the following is an invalid state in an 8-4-2-1 Binary Coded Decimal counter

A

1000

B

1001

C

0011

D

1100


(d) is the correct answer.

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