Test: GATE Electrical Engineering (EE) Previous Paper 2021 - Electrical Engineering (EE) MCQ

The people________were at the demonstration were from all section of society.

Let X be a continuous random variable denoting the temperature measured. The range of temperature is (0, 100) degree Celsius and let the probability density function of X be f{x) = 0.01 for 0 < X < 100. The mean of X i s _______ .

For a regular polygon having 10 sides, the interior angle between the sides of the polygon, in degrees, is :

A transparent square sheet above is folded along the dotted line. The folded sheet will look l i k e ______ .

The importance of sleep is often overlooked by students when they are preparing for exams. Research has consistently shown that sleep deprivation greatly reduces the ability to recall the material learn. Hence, cutting down on sleep to study longer hours can be counterproductive.
Which one of the following statements is the CORRECT inference from the above passage?

Oasis is to sand as island is t o ______ .
Which one of the following options maintains a similar logical relation in the above sentence?

The number of students passing or failing in an exam for a particular subject is presented in the bar chart above. Students who pass the exam cannot appear for the exam again. Students who fail the exam in the first attempt must appear for the exam in the following year. Students always pass the exam in their second attempt.
The number of students who took the exam for the first time in the year 2 and the year 3 respectively, are _______ .

An alternator with internal voltage of 1∠δ₁p.u. and synchronous reactance of 0.4 p.u. is connected by a transmission line of reactance 0.1 p.u. to a synchronous motor having synchronous reactance 0.35 p.u. and internal voltage of 0.85∠δ₂ p.u. If the real power supplied by the alternator is 0.866 p.u, then (δ₁ - δ₂) is _____degrees. (ound off to 2 decimal places) (Machines are of non-salient type. Neglect resistances)

Lef f[t) be an even function, i.e. f(-t) = f{t) for all t. Let the Fourier transform of f{t) be defined as = 1. Then

Suppose the circle x² + y² = 1 and (x - 1 )² + ( y - 1 )² = r² intersect each other orthogonally at the point (tv, v ). Then tv + tv = ______ .

A 1 pC point charge is held at the origin of a Cartesian coordinate system. If a second point charge of 10 pC is moved from (0, 10, 0) to (5, 5, 5) and subsequently to (5, 0, 0), then the total work done i s ______ mJ. (Round off to 2 decimal places.) Take = 9 x 109 in SI units. All coordinates are in meters.

Consider a power system consisting of N number of buses. Buses in this power system are categorized into slack bus, PVbuses and PQ buses for load flow study. The number of PQ buses is NL. The balanced Newton-Raphson method is used to carry out load flow study in polar form. H, S, M, and R are sub-matrices of the Jacobian matrix J as shown below:

The dimensions of the sub-matrix is

The waveform shown in solid line is obtained by clipping a full-wave rectified sinusoid (shown dashed). The ratio of the RMS value of the full-wave rectified waveform to the RMS value of the clipped waveform i s _____ . (Round off to 2 decimal places.)

In the circuit, switch 'S' is in the closed position for a very long time. If the switch is opened at time t = 0, then i_L(t) in amperes, for t > 0 is

For the closed-loop system shown, the transfer function is

In the open interval (0, 1), the polynomial p(x) = x⁴ - Ax³ + 2 has

Inductance is measured by

For the network shown, the equivalent Thevenin voltage and Thevenin impedance as seen across terminals 'ab’ is

Two single-core power cables have total conductor resistances of 0.7 Q and 0.5 Q, respectively, and their insulation resistances (between core and sheath) are 600 MQ and 900 M£1 respectively, When the two cables are joined in series, the ratio of insulation resistance to conductor resistance i s _______ x 10⁶.

The Bode magnitude plot for the transfer function of the circuit is as shown. The value of R i s ______ Q. (Round off 2 decimal places)

Consider a continuous-time signal x{t) defined by for |t| ≤ 1. Let the Fourier transform of x(t) be defined as . The maximum magnitude of X (ω) is ____.

A counter is constructed with three D flip-flops. The input-output pairs are named (D₀, Q₀), (D₁ Q₁ and (D₂, Q₂), where the subscript 0 denotes the least significant bit. The output sequence is desired to be the Gray-code sequence 000, 001,011,010,110,111, 101 and 100, repeating periodically. Note that the bits are listed in the G₂Q₁G₀ format. The combinational logic expression for D₁ is

Consider the buck-boost converter shown. Switch G is operating at 25 kHz and 0.75 duty-cycle. Assume diode and switch to be ideal. Under steady-state condition, the average current flowing through the inductor i s ______A.

A belt-driven DC shunt generator running at 300 RPM delivers 100 kW to a 200 V DC grid. It continues to run as a motor when the belt breaks, taking 10 kW from the DC grid. The armature resistance is 0.025 Q, field resistance is 50 Q, and brush drop is 2 V. Ignoring armature reaction, the speed of the motor i s ______ RPM. (Round off 2 decimal places)

Let p(z) = z³ + (1 + j)z² + (2 + j)z + 3, where z is a complex number. Which one of the following is true?

A signal generator having a source resistance of 50 Ω is set to generate a 1 kHz sinewave. Open circuit terminal voltage is 10 V peak-to-peak. Connecting a capacitor across the terminals reduces the voltage to 8 V peak-to-peak. The value of this capacitor i s _____ µF. (Round off to 2 decimal places).

The power input to a 500 V, 50 Hz. 6-pole. 3-phase induction motor running at 975 RPM is 40 kW. The total stator losses are 1 kW. If the total friction and windage losses are 2.025 kW. then the efficiency i s ________ %.