Electrical Engineering Gate Yearwise 




Electrical Engineering Gate 2013 Set-1 Questions with Answer

Ques 1 GATE 2013 SET-1

In the circuit shown below what is the output voltage (Vout) in Volts if a silicon transistor Q and an ideal op-amp are used?

A

15

B

0.7

C

0.7

D

15


() is the correct answer.

Ques 2 GATE 2013 SET-1

In the feedback network shown, if the feedback factor k is increased, then

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


() is the correct answer.

Ques 3 GATE 2013 SET-1

In the circuit shown below, the knee current of the ideal Zener diode is 10 mA. To maintain 5 V across RL, the minimum value of R1 in Ω and the minimum power rating of the Zener diode in mW respectively are:

A

125 and 125

B

125 and 250

C

250 and 125

D

250 and 250


(d) is the correct answer.

Ques 4 GATE 2013 SET-1

A voltage 1000 sin ωt Volts is applied across YZ. Assuming ideal diodes, the voltage measured across WX in Volts is

A

sin(ωt)

B

½[sin(ωt) + |sin(ωt)|]

C

½[sin(ωt) − |sin(ωt)|]

D

0 for all t


() is the correct answer.

Ques 5 GATE 2013 SET-1

In the circuit shown below the op-amps are ideal. Then Vout in Volts is

A

4 V

B

6 V

C

8 V

D

10 V


() is the correct answer.

Ques 6 GATE 2013 SET-1

Assuming zero initial condition, the response y(t) of the system given below to a unit step input u(t) is

A

u(t)

B

t·u(t)

C

t²·u(t)

D

e(-t)·u(t)


() is the correct answer.

Ques 7 GATE 2013 SET-1

The Bode plot of a transfer function G(s) is shown in the figure below.

The gain 20 log |G(s)| is 32 dB and –8 dB at 1 rad/s and 10 rad/s respectively. The phase is negative for all ω. Then G(s) is?

A

39.8/s

B

39.8/s²

C

32/s

D

32/s²


() is the correct answer.

Ques 8 GATE 2013 SET-1

The open-loop transfer function of a DC motor is given as ω(s) / Va(s) = 10 / (1 + 10s). When connected in feedback as shown below, the approximate value of Ka that will reduce the time constant of the closed-loop system by one hundred times as compared to that of the open-loop system is:

A

1

B

5

C

10

D

100


() is the correct answer.

Ques 9 GATE 2013 SET-1

From the signal flow graph, find the transfer function Y(s)/U(s).

A

(s + 1) / (s² + 6s + 2)

B

(s + 1) / (s² + 6s + 2)

C

(s + 1) / (s² + 4s + 2)

D

(s + 1) / (s² + 6s + 5)


() is the correct answer.

Ques 10 GATE 2013 SET-1

The state variable formulation of a system is given as

The system is

A

Controllable but not observable

B

Not controllable but observable

C

Both controllable and observable

D

Neither controllable nor observable


() is the correct answer.

Ques 11 GATE 2013 SET-1

The state variable formulation of a system is given as

The response y(t) of the same system to unit step input is

A

(1/2)(1 − e(-t))

B

(1/2)(1 − e(-2t))

C

1 − e(-2t)

D

e(-t) − 1


() is the correct answer.

Ques 12 GATE 2013 SET-1

A bulb in a staircase has two switches, one switch being at the ground floor and the other one at the first floor. The bulb can be turned ON and also can be turned OFF by any one of the switches irrespective of the state of the other switch. The logic of switching of the bulb resembles

A

an AND gate

B

an OR gate

C

an XOR gate

D

an NAND gate


(a) is the correct answer.

Ques 13 GATE 2013 SET-1

The clock frequency applied to the digital circuit shown in the figure below is 1 kHz. If the initial state of the output Q of the flip-flop is '0', then the frequency of the output waveform Q in kHz is

A

0.25 kHz

B

0.5 kHz

C

1 kHz

D

2 kHz


() is the correct answer.

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