Electrical Engineering GATE 2017 Set I Questions with Answer

Ques 1 AC Power

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 v_a(t) = 220 sin(100πt) V and i_a(t) = 10 sin(100πt) A, respectively.
Similarly, for phase-b, the instantaneous voltage and current are v_b(t) = 220 cos(100πt) V and i_b(t) = 10 cos(100πt) A, respectively.

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

2200 W

2200sin²(100πt)W

4400 W

2200sin(100πt)cos(100πt) W

Ques 2 Boolean Algebra

The Boolean expression AB + A̅C + BC simplifies to

$BC+AC̅

AB+AC̅+B

AB+AC̅

AB+BC

Ques 3 Calculus

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.)

Ques 4 Calculus

A function f(x) is defined as

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

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

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

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

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

Ques 5 Circuit Analysis

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

Ques 6 Circuit Analysis

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

Ques 7 Complex Numbers

For a complex number , is

-21

-i

Ques 8 Converters

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

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

Ques 9 CRO

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

150 ns has to be inserted into the y-channel

150 ns has to be inserted into the x-channel

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

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

Ques 10 Differential Equations

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

(-2, 2)

(-10,10)

(-10, 2)

(0,10)

Ques 11 Diode Circuits

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

0 V and 1 V

-0.5 V and 0.5 V

1 V and 0.5 V

1 V and 1 V

Ques 12 Electromagnetics

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

bend closer to the cylinder axis

bend farther away from the axis

remain unifonn as before

cease to exist inside the cylinder

Ques 13 Electromagnetics

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?

the particles will never collide

all wm collide together

proton and neutron

electron and neutron

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Electrical Engineering GATE 2017 Set I Questions with Answer