Electrical Engineering Gate Yearwise 




Electrical Engineering Gate 2017 Set-1 Questions with Answer

Ques 1 GATE 2017 Set-1

A source is supplying a load through a 2-phase, 3-wire transmission system as shown in the figure below. The instantaneous voltage and current in phase-a are va(t) = 220 sin(100πt) V and ia(t) = 10 sin(100πt) A, respectively.
Similarly, for phase-b, the instantaneous voltage and current are vb(t) = 220 cos(100πt) V and ib(t) = 10 cos(100πt) A, respectively.

The total instantaneous power flowing from the source to the load is _________.

A

2200 W

B

2200sin2(100πt)W

C

4400 W

D

2200sin(100πt)cos(100πt) W


(a) is the correct answer.

Ques 2 GATE 2017 Set-1

The Boolean expression AB + A̅C + BC simplifies to

A

$BC+AC̅

B

AB+AC̅+B

C

AB+AC̅

D

AB+BC


(a) is the correct answer.

Ques 3 GATE 2017 Set-1

Let I = c * ∫∫R xy2 dxdy, where R is the region shown in the figure and c = 6 * 10-4. The value of I equals (Give the answer up to two decimal places.)


(0.99 to 1.01) is the correct answer.

Ques 4 GATE 2017 Set-1

A function f(x) is defined as

where x∈R, Which one of the following statements is TRUE?

A

f(x) is NOT differentiable at x=1 for any values of a and b.

B

f(x) is differentiable at x=1 for the unique values of a and b.

C

f(x) is differentiable at x=1 for all values of a and b such that a+b=e.

D

f(x) is differentiable at x=1 for all values of a and b.


(b) is the correct answer.

Ques 5 GATE 2017 Set-1

The power supplied by the 25 V source in the figure shown below is W.


(248 to 252) is the correct answer.

Ques 6 GATE 2017 Set-1

The equivalent resistance between the terminals A and B is _________ Ω.


(2.9 to 3.1) is the correct answer.

Ques 7 GATE 2017 Set-1

For a complex number , is

A

-21

B

-i

C

i

D

2i


(d) is the correct answer.

Ques 8 GATE 2017 Set-1

In the converter circuit shown below, the switches are controlled such that the load voltage vo(t) is a 400 Hz square wave.

The RMS value of the fundamental component of vo(t) in volts is


(196 to 200) is the correct answer.

Ques 9 GATE 2017 Set-1

The slope and level detector circuit in a CRO has a delay of 100 ns. The start-stop sweep generator has a response time of 50 ns. In order to display correctly, a delay line of

A

150 ns has to be inserted into the y-channel

B

150 ns has to be inserted into the x-channel

C

150 ns has to be inserted into both x and y channels

D

100 ns has to be inserted into both x and y channels


(a) is the correct answer.

Ques 10 GATE 2017 Set-1

Consider the differential equation (t2 - 81) dy/dt + 5t y = sin(t) with y(1) = 2π. There exists a unique solution for this differential equation when t belongs to the interval

A

(-2, 2)

B

(-10,10)

C

(-10, 2)

D

(0,10)


(a) is the correct answer.

Ques 11 GATE 2017 Set-1

For the circuit shown in the figure below, assume that diodes D₁, D₂ and D₃ are ideal. The DC components of voltages v₁ and v₂, respectively are

A

0 V and 1 V

B

-0.5 V and 0.5 V

C

1 V and 0.5 V

D

1 V and 1 V


(b) is the correct answer.

Ques 12 Gate 2017 Set-1

A solid iron cylinder is placed in a region containing a uniform magnetic field such that the cylinder axis is parallel to the magnetic field direction. The magnetic field lilies inside the cylinder will

A

bend closer to the cylinder axis

B

bend farther away from the axis

C

remain unifonn as before

D

cease to exist inside the cylinder


(a) is the correct answer.

Ques 13 Gate 2017 Set-1

Consider an electron, a neutron and a proton initially at rest and placed along a straight line such that the neutron is exactly at the center of the line joining the electron and proton. At t - 0. the particles are released but are constrained to move along the same straight line, Which of these will collide first?

A

the particles will never collide

B

all wm collide together

C

proton and neutron

D

electron and neutron


(d) is the correct answer.

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