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Practice Test: Gate Electrical Engineering GATE 2017 Paper


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65 Questions MCQ Test GATE Electrical Engineering (EE) 2023 Mock Test Series | Practice Test: Gate Electrical Engineering GATE 2017 Paper

Practice Test: Gate Electrical Engineering GATE 2017 Paper for GATE 2022 is part of GATE Electrical Engineering (EE) 2023 Mock Test Series preparation. The Practice Test: Gate Electrical Engineering GATE 2017 Paper questions and answers have been prepared according to the GATE exam syllabus.The Practice Test: Gate Electrical Engineering GATE 2017 Paper MCQs are made for GATE 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Practice Test: Gate Electrical Engineering GATE 2017 Paper below.
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Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 1

Directions

Q. No. 1 – 5 Carry One Mark Each

Q. Research in the workplace reveals that people work for many reasons _______________ .

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 1

Grammatically, besides is an adverb or a preposition, and beside a preposition. Beside means next to. As a preposition, besides means in addition to or apart from. As an adverb, besides means as well or furthermore. 
Here, we use “besides” as a preposition meaning “in addition to”. 
“besides money” is correct choice.

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 2

The probability that a k-digit number does NOT contain the digits 0.5, or 9 is

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 2

Each digit can be filled in 7 ways as 0, 5 and 9 is not allowed, so each of these places can be filled by 1, 2, 3, 4, 6, 7, 8.

So required probability is 

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 3

Find the smallest number y such that y x 162 is a perfect cube.

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 3

Factorization of 162 is 2 x 3 x 3 x 3 x 3 x y= 162 is a perfect cube

y x 3 x 3 x 3 x 3 x 3 = Perfect cube
For perfect cube 2's & 3's are two more required each.

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 4

After Rajendra Chola returned from his voyage to Indoneisa, he _______ to visit the temple in Thanjavur.

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 5

Rahul, Murali, Srinivas and Arul are seated around a square table. Rahul is sitting to the left of Murali. Srinivas is sitting to the right of Arul. Which of the following pairs are seated opposite each other?

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 5

Assume, they are looking to the center of circular table, then the possible arrangement is:

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 6

Directions

Q. No. 6 – 10 Carry Two Marks Each

Q.

Six people are seated around a circular table. There are at least two men and two women. There are at least three right-handed persons. Every woman has a left-handed person to her immediate right. None of the women are right-handed. The number of women at the table is

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 6

Out of six people, 3 place definitely occupied by right handed people as atleast 2 women are there so these two will sit adjacently. Now as only one seat is left it will be occupied by a left handed man because on right side of this seat is sitting an right handed man.

Therefore, answer should be 2 women.

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 7

The expression    is equal to.

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 7

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 8

A contour line joins locations having the same height above the mean sea level. The following is a contour plot of a geographical region. Contour lines are shown at 25m intervals in this plot. If in a flood, the water level rises to 525m. Which of the villages P,Q,R,S,T get submerged?

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 8

The given contour is a hill station, the peak point of this hill station is P, it is under a contour of 550. At floods, the water level is 525m. So the village of R, S and T are under a contour of 500. Therefore these villages are submerged.

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 9

Arun, Gulab, Neel and Shweta must choose one shirt each from a pile of four shirts coloured red, pink, blue and white respectively. Arun dislikes the colour red and Shweta dislikes the colour white, Gulab and Neel like all the colours. In how many different ways can they choose the shirts so that no one has a shirt with a colour he or she dislikes?

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 9

As there are 4 people A,G,N,S and 4 colours so without any restriction total ways have to be  4 x 4= 16

Now, Arun → dislikes Red and 

Shweta → dislies white

So, 16-2 = 14 ways

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 10

“The hold of the nationalist imagination on our colonial past is such that anything inadequately or improperly nationalist is just not history.”

Which of the following statements best reflects the author‟s opinion?

*Answer can only contain numeric values
Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 11

Directions

Q. No. 11 – 35 Carry One Mark Each

Q.

Consider g(t) = 

Here, represents the largest integer less than or equal to t and  denotes the smallest integer greater than or equal to t. The coefficient of the second harmonic component of the Fourier series representing g(t) is _________.


Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 11

If we plot the above signal, we get

Since this wave form contain hidden half wave symmetry, even harmonics does not exist.
Thus coefficient of second harmonic component of Fourier series will be zero.

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 12

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

The total instantaneous power flowing form the source to the load is 

 

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 12

= 2200W

*Answer can only contain numeric values
Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 13

A three-phase, 50Hz, star-connected cylindrical-rotor synchronous machine is running as a motor. The machine is operated from a 6.6 kV grid and draws current at unity power factor (UPF). The synchronous reactance of the motor is 30Ω per phase. The load angle is 30o. The power delivered to the motor in kW is _______

 


Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 13

 P  = 838.31 kW

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 14

For a complex number z,

 

 

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 14

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 15

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?

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 15

The Gravitational force of alteration between any two particles shown above is made much negligible when compared to coloumbic force of alteration between electron and proton.
Force of alteration

Due to this force, the electron as well as the proton will move towards each other, since 
mo << mp , the speed and acceleration of the electron will be much greater than that of proton. This causes electron to collide with the neutron faster when compared to proton.

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 16

Let z ( t ) = x ( t )* y ( t ) , where " * " denotes convolution. Let C be a positive real-valued constant. Choose the correct expression for z (ct).

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 16

z ( t ) = x ( t ) * y ( t )

⇒ z(s) = x(s) . y(s)

Converting into Laplace transform and applying time sealing property.

z(ct) = c.x(ct) * y(ct)

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 17

A 3-bus power system is shown in the figure below, where the diagonal elements of Y-bus matrix are Y11 = - j12pu, Y22 = - j15pu and Y33 = - j7pu The per unit values of the line reactances p, q and r shown in the figure are

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 17

Y11 = y10 + y12 + y13 = - j12 =

 -( jq1+jr1 )

∴ q1 + r1 = +12

Y22=  j15 =  y20 + y21 + y23 =

-(jq+jp1 )

∴ p1 + q1 = +15

 

 

*Answer can only contain numeric values
Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 18

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


Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 18

The Ckt will become

RAB  = 1 + 1.2 + 0.8 = 3Ω

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 19

The Boolean expression  simplifies to

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 19

*Answer can only contain numeric values
Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 20

The following measurements are obtained on a single phase load:

If the power factor is calculated using these measurements, the worst case error in the calculated power factor in percent is ________. 


Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 20

P = VIcosø

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 21

The transfer function of a system is given by,  Let the output of the system be 

vo( t ) = Vm sin( ωt + φ) for the input vi (t) = V sin(ωt) . Then the minimum and maximum 
values of φ (in radians) are respectively

 

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 21

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 22

The matrix  has three distinct eigenvalues and one of its eigenvectors is   Which one of the following can be another eigenvector of A?

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 22

By the properties of Eigen values and Eigen vectors, another eigen vector of A is  The eigen vectors corresponding to distinct eigen values of a real symmetric matrix are orthogonal i.e., pair wise dot product is zero.

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 23

For the power semiconductor devices IGBT, MOSFET, Diode and Thyristor, which one of the following statements is TRUE?

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 23

 MOSFET → Majority carrier device (NMOS, PMOS)

Diode→ both majority & minority carrier device

Transister → Npn, pnp

IGBT → input is MOSFET, Output is BJT

*Answer can only contain numeric values
Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 24

Consider the unity feedback control system shown. The value of K that results in a phase margin of the system to be 30is _______. 


Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 24

PM = 180 + ∠Gω=ωgc

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 25

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 lines inside the cylinder will

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 25

Flux always chooses less reluctance path. So flux tried to flow inside the conductor and closer to the axis of the cylinder.

*Answer can only contain numeric values
Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 26

where R is the region shown in the figure and c = 6 x 10-4. The value of I equals________.


Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 26

    OR

 

   

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 27

Consider the system with following input-output relation y[n] =  (1 + ( -1)n ) x [ n ]where, x[n] is the input and y[n] is the output. The system is 

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 27

Given y [ n ] = (1 + ( -1)n ) x [ n ]

For time invariance 

Since Since (1) is not equal to (2) system is  time variant

For inverse system

For each unique x [n ] , there should be unique y [n ]

If x[n] = δ[n-1] 

y[n] = [ 1 + (-1)n ] δ[n-1] 

⇒ y[1] = 0

if x[n] = 2δ[n-1]

y[n] = [ 1+(-1)n ] 2δ (n-1)

y(1) = 0

For two different inputs we have same output. Thus one to one mapping is not possible. Hence the systems is non invertible

 

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 28

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

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 28

The delay line should be inverted in VDP (Y-channel) only.

*Answer can only contain numeric values
Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 29

A 3-phase voltage source inverter is supplied from a 600V DC source as shown in the figure below. For a star connected resistive load of 20Ω per phase, the load power for 120o device conduction, in kW is __________.


Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 29

Vdc =600V

RL = 20Ω / Ph 120o mode

RMS value of phase voltage ( Vp ) = 0.4082Vdc =244.92V

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 30

A closed loop system has the characteristic equation given by s+ Ks2 + ( K + 2 )s + 3 = 0. For this system to be stable, which one of the following conditions should be satisfied?

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 30

Given CE = s3 + ks2 + (k+ 2)s + 3 = 0

For stable

k(k+2) >3

k2 + 2k -3 >0

(k-1)(k+3) > 0

k > -1 ∩ k > -3

k >1

OR

by R-H criteria

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 31

A 4 pole induction machine is working as an induction generator. The generator supply frequency is 60 Hz. The rotor current frequency is 5 Hz. The mechanical speed of the rotor in RPM is

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 31

Rotor speed should be greater than syn.speeed, to ge inductance generator mode.

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 32

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

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 32

*Answer can only contain numeric values
Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 33

A 10-bus power system consists of four generator buses indexed as G1, G2, G3, G4 and six load buses indexed as L1, L2, L3, L4, L5, L6. The generator bus G1 is considered as slack bus, and the load buses L3 and L4 are voltage controlled buses. The generator at bus G2 cannot supply the required reactive power demand, and hence it is operating at its maximum reactive power limit. The number of non-linear equations required for solving the load flow problem using Newton-Raphson method in polar form is _______.


Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 33

Total no of buses=10

Given G1 = slack bus, G2=generator/PQ bus

∴ G3 and G are PV buses

PQ buses → L1,L2, L5,L6 (4)

Voltage controlled PV buses → L3, L4 (2)

Minimum no of nonlinear equations to be solved 2 x10-2-4=14

*Answer can only contain numeric values
Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 34

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


Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 34

KCL 

I + 0.4I = 1.4 I

⇒1.4I =14

⇒ I = 10A
The power supplied by 25 V = 25x 10= 250W

*Answer can only contain numeric values
Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 35

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 _______.

 


Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 35

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 36

Directions

Q. No. 36 – 65 Carry Two Marks Each

Q.

The output expression for the Karnaugh map shown below is 

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 36

*Answer can only contain numeric values
Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 37

A 220 V DC series motor runs drawing a current of 30 A from the supply. Armature and field circuit resistances are 0.4 Ω and 0.1 Ω respectively. The load torque varies as the square of the speed. The flux in the motor may be taken as being proportional to the armature current. To reduce the speed of the motor by 50% the resistance in ohms that should be added in series with the armature is _________. 


Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 37

Eb= 220 - 30(0.5) = 205 volts

Eb2 = 220 - Ia2 (0.5 + Rx ) 

Given T ∝ N and Ø ∝ IR

We know that, in series motor ⇒  

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 38

The transfer function of the system Y(s)/U(s) whose state-space equations are given below is:

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 38

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 39

The load shown in the figure is supplied by a 400 V (line to line) 3-phase source (RYB sequence).  The load is balanced and inductive, drawing 3464 VA. When the switch S is in position N, the three watt-meters W1, W2 and W3 read 577.35 W each. If the switch is moved to position Y, the readings of the watt-meters in watts will be:

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 39

If the switch is connected to Neutral, then each wattmeter will read 1 - Ø power.

 

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 40

Two passive two-port networks are connected in cascade as shown in figure. A voltage source is connected at port 1.

Given V= A1V2 +B1I2

          I1 = C1V2+ D1I2

          V2 = A2V3 +B2I3

         I2 = C2V3 + V2I3

A1 , B1 , C1 , D1 , A2 , B2 , C2 and D2 are the generalized circuit constants. If the Thevenin equivalent circuit at port 3 consists of a voltage source VT and impedance ZT connected in series, then

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 40

*Answer can only contain numeric values
Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 41

The circuit shown in the figure uses matched transistors with a thermal voltage VT = 25mV.
The base currents of the transistors are negligible. The value of the resistance R in kΩ that is required to provide 1 μA bias current for the differential amplifier block shown is ______. 


Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 41

*Answer can only contain numeric values
Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 42

The figure below shows an uncontrolled diode bridge rectifier supplied form a 220 V, 50 Hz 1-phase ac source. The load draws a constant current Io = 14A. The conduction angle of the diode D1 in degrees is___________.


Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 42

Average reduction in output voltage due to Ls

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 43

Consider the differential equation 

There exists a unique solution for this differential equation when t belongs to the interval

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 43

If t ≠ 9, 9 then the solution exists. 

Options (b), (c), (d) contain either -9 or 9 or both. So answer is option A

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 44

A separately excited DC generator supplies 150 A to a 145 V DC grid. The generator is running at 800 RPM. The armature resistance of the generator is 0.1 Ω . If the speed of the generator is increased to 1000 RPM, the current in amperes supplied by the generator to the DC grid is

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 45

In the circuit shown below, the maximum power transferred to the resistor R is _______ W.

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 45

The maximum power transferred to 

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 46

Let a causal LTI system be characterized by the following differential equation, with initial rest condition

Where x(t) and y(t) are the input and output respectively. The impulse response of the system is (u(t) is the unit step function)

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 46

Given causal LTI system

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 47

The approximate transfer characteristic for the circuit shown below with an ideal operational amplifier and diode will be

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 48

The switch in the figure below was closed for a long time. It is opened at t = 0. The current in the inductor of 2 H for t ≥ 0, is

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 48

at t = 0-

For t ≥ 0

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 49

The bus admittance matrix for a power system network is  There is a transmission line, connected between buses 1 and 3, which is represented by the circuit shown in figure.

If this transmission line is removed from service, What is the modified bus admittance matrix?

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 49

When the line 1-3 is removed

z13 = 0.05 = z31 

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 50

In the system whose signal flow graph is shown in the figure, U1(s) and U2 (s) are inputs. The 
transfer function 

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 50

*Answer can only contain numeric values
Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 51

For a system having transfer function    a unit step input is applied at time t=0. 
The value of the response of the system at t=1.5 sec is __________.


Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 51

Apply Inverse L.T

y(t) = u(t) - 2e-tu(t)

y(1.5) = 1 - 2e-1.5 = 1- 0.44626

y(1.5) = 0.5537

*Answer can only contain numeric values
Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 52

The magnitude of magnetic flux density (B) in micro Teslas ( μT ) at the center of a loop of wire wound as a regular hexagon of side length 1m carrying a current (I=1A), and placed in vacuum as shown in the figure is __________. 


Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 52

For a finite length conductor B at a point P

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 53

The figure shows the single line diagram of a power system with a double circuit transmission line. The expression for electrical power is 1.5 sinδ , where δ is the rotor angle. The system is operating at the stable equilibrium point with mechanical power equal to 1 pu. If one of the transmission line circuits is removed, the maximum value of δ as the rotor swings, is 1.221 radian. If the expression for electrical power with one transmission line circuit removed is Pmax Sinδ , the value of Pmax , in pu is 

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 53

Using equal area criterion

A1 = A2 

*Answer can only contain numeric values
Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 54

A 375W, 230 V, 50 Hz capacitor start single-phase induction motor has the following constants for the main and auxiliary windings (at starting): Zm = (12.50 + j15.75) Ω (main winding), 
 Za = (24.50 + j12.75) Ω (auxiliary winding). Neglecting the magnetizing branch the value of the capacitance (in μF ) to be added in series with the auxiliary winding to obtain maximum torque at starting is _______.


Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 54

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 55

A function f(x) is defined   Which one of the following statements is TRUE?

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 55

 does not exists, for any values of a and b
∴  f (x ) is not differentiable at x =1 , for any values of a and b.

*Answer can only contain numeric values
Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 56

Consider a causal and stable LTI system with rational transfer function H(z). Whose corresponding impulse response begins at n = 0. Furthermore, H(1) = 5/4. The poles of H(z) are   for k = 1,2,3,4. The zeros of H(z) are all at z = 0. Let g[n] = jnh[n]. The value of g[8] equals ----.


*Answer can only contain numeric values
Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 57

Only one of the real roots of f ( x ) = x6 - x - 1 lies in the interval 1 ≤ x ≤ 2 and bisection method is used to find its value. For achieving an accuracy of 0.001, the required minimum number of iterations is ________.


Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 57

*Answer can only contain numeric values
Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 58

Two parallel connected, three-phase, 50Hz, 11kV, star-connected synchronous machines A and B, are operating as synchronous condensers. They together supply 50 MVAR to a 11 kV grid. Current supplied by both the machines are equal. Synchronous reactances of machine A and machine B are 1Ω and 3Ω respectively. Assuming the magnetic circuit to be linear, the ratio of excitation current of machine A to that of machine B is ________. 


Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 58

 → syn. Condencors

→ current‟s supplied both the machines are same

As the two motors, supplying reactive power only, the phasor diagaram will be

*Answer can only contain numeric values
Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 59

The positive, negative and zero sequence reactances of a wye-connected synchronous generator are 0.2 pu, 0.2 pu, and 0.1 pu, respectively. The generator is on open circuit with a terminal voltage of 1 pu. The minimum value of the inductive reactance, in  pu, required to be connected between  neutral and ground so that the fault current does not exceed 3.75 pu if a single line to ground fault occurs at the terminals is _______ (assume fault impedance to be zero). 


Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 59

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 60

Let the signal  be passed through an LTI system with frequency 
response H (ω) , as given in the figure below

The Fourier series representation of the output is given as

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 60

Given x (t ) is a periodic signal for which Fourier transform x ( ω) is to be calculated

 

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 61

The logical gate implemented using the circuit shown below where. V1 and V2 are inputs (with 0 V as digital 0 and 5 V as digital 1) and Vout is the output is

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 61

So, this logic level o/p is showing the functionality of NOR-gate.

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 62

A load is supplied by a 230 V, 50 Hz source. The active power P and the reactive power Q consumed by the load are such that 1 kW ≤ P ≤ 2kW and 1 kVAR ≤ Q ≤ kVAR . A capacitor connected across the load for power factor correction generates 1 kVAR reactive power. The worst case power factor after power factor correction is

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 62

Under worst case,

Pmax = 2 kW

Qmax = 2 kVAR

cos 45 = 0.707lag

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 63

The input voltage VDC of the buck-boost converter shown below varies from 32 V to 72 V. Assume that all components are ideal, inductor current is continuous, and output voltage is ripple free. The range of duty ratio D of the converter for which the magnitude of the steady state output voltage remains constant at 48 V is

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 63

*Answer can only contain numeric values
Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 64

A three-phase, three winding Δ /Δ / Y (1.1kV/6.6kV/400 V) transformer is energized from AC mains at the 1.1 kV side. It supplies 900 kVA load at 0.8 power factor lag from the 6.6 kV winding and 300 kVA load at 0.6 power factor lag from the 400 V winding. The RMS line current in ampere drawn by the 1.1 kV winding from the mains is _______. 


Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 64

3 - Ø , 3 - winding T/F

Δ /Δ / Y
per phase representation

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 65

Consider the line integral  where z = x + iy. The line C is shown in the figure below.

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 65

curve " C " is y = x ⇒ dy = dx

 

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