What are the questions asked in GATE 2019 Electrical Engineering exam?

Complete set of questions from GATE 2019 EE exam covering Electrical Machines, Power Electronics, Engineering Mathematics, Power Systems, Control Systems, Signals & Systems, Electromagnetic Fields, Analog & Digital Electronics, and more with detailed solutions.

Where can I find GATE 2019 Electrical Engineering questions with solutions?

You can access the complete GATE 2019 Electrical Engineering question paper with detailed solutions on ExamPrev. All questions include step-by-step explanations.

How many questions were in GATE 2019 EE paper?

GATE 2019 Electrical Engineering paper consisted of 65 questions including MCQs, MSQs, and numerical answer type questions covering all major EE topics.

Are solutions provided for GATE 2019 EE questions?

Yes, detailed step-by-step solutions with explanations are provided for all questions from GATE 2019 Electrical Engineering paper.

Which institute conducted GATE 2019?

GATE 2019 was conducted by IIT Madras. The exam was held in February 2019 across multiple sessions.

Electrical Engineering Gate 2019 Questions with Answer

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Ques 14 GATE 2019

The mean-square of a zero-mean random process is (kT / C) where k is Boltzmann's constant, T is the absolute temperature, and C is a capacitance.
The standard deviation of the random process is _______

kT/C

√kT/C

C/kT

√kT/c

(b) is the correct answer.

Ques 15 GATE 2019

A system transfer function is
H(s) = (a₁s² + b₁s + c₁) / (a₂s² + b₂s + c₂).
If a₁ = b₁ = 0 and all other coefficients are positive, the transfer function represents a

low pass filter

high pass filter

band pass filter

notch filter

(a) is the correct answer.

Ques 16 GATE 2019

A three-phase synchronous motor draws 200 A from the line at unity power factor at rated load. Considering the same line voltage and load, the line current at a power factor of 0.5 leading is

100 A

200 A

300 A

400 A

(d) is the correct answer.

Ques 17 GATE 2019

In the circuit shown below, the switch is closed at t = 0. The value of θ in degrees which will give the maximum value of DC offset of the current at the time of switching is:

-45

-30

(mta) is the correct answer.

Ques 18 GATE 2019

The output response of a system is denoted as y(t), and its Laplace transform is given by
Y(s) = 10 / [s(s² + s + 100√2)].
The steady state value of y(t) is

1/10√2

10/√2

1/100√2

100/√2

Ques 19 GATE 2019

Given, V_gs is the gate-source voltage, V_ds is the drain-source voltage, and V_th is the threshold voltage of an enhancement type NMOS transistor, the conditions for transistor to be biased in saturation are

V_gs < V_th; V_ds ≥ V_gs - V_th

V_gs > V_th V_ds ≥ V_gs - V_th

V_gs > V_th; V_ds ≤ V_gs - V_th

V_gs < V_th; V_ds ≤ V_gs − V_th

(b) is the correct answer.

Ques 20 GATE 2019

A current controlled current source (CCCS) has an input impedance of 10 and output impedance of 100 . When this CCCS is used in a negative feedback closed loop with a loop gain of 9, the closed loop output impedance is

10 Ω

100 Ω

100 kΩ

1000 kΩ

(d) is the correct answer.

Ques 21 GATE 2019

If f = 2x³ + 3y² + 4z, the value of line integral ∫_C grad f · dr evaluated over contour C formed by the segments (-3, -3, 2) → (2, -3, 2) → (2, 6, 2) → (2, 6, -1) is ____________.

(243) is the correct answer.

Ques 22 GATE 2019

The current flowing in the circuit shown below in amperes (round off to one decimal place) is ___________.

(3.9 to 4.1) is the correct answer.

Ques 23 GATE 2019

The Y_bus matrix of a two-bus power system having two identical parallel lines connected between them in pu is given as:

The magnitude of the series reactance of each line in pu (rounded off to one decimal place) is

(2.4 to 2.6) is the correct answer.

Ques 24 GATE 2019

The total impedance of the secondary winding, leads, and burden of a 5 A CT is 0.01 2. If the fault current is 20 times the rated primary current of the CT, the VA output of the CT is __________.

(95 to 105) is the correct answer.

Ques 25 GATE 2019

Consider a 2×2 matrix M = [ v₁ v₂ ], where v₁ and v₂ are the column vectors. Suppose , where u₁^T and u₂^T are the row vectors.
Consider the following statements:
Statement 1: u₁^Tv₁ = 1 and u₂^Tv₂ = 1
Statement 2: u₁^Tv₂ = 0 and u₂^Tv₁ = 0
Which of the following options is correct?

Statement 1 is true and statement 2 is false

Statement 2 is true and statement 1 is false

Both the statements are true

Both the statements are false

Ques 26 GATE 2019

A periodic function $f(t)$ with a period of 27, is represented as its Fourier series, $f(t)=a_{0}+\sum_{n=1}^{\infty}a_{n}cos~nt+\sum_{n=1}^{\infty}b_{n}sin~nt$ If $f(t)=\{\begin{matrix}A~sin~t,0\le t\le\pi\\ 0,&\pi

$a_{1}=\frac{A}{\pi};$ $b_{1}=0$

$a_{1}=\frac{A}{2};$ $b_{1}=0$

$a_{1}=0;$ $b_{1}=A/\pi$

$a_{1}=0;$ $b_{1}=\frac{A}{2}$

(d) is the correct answer.

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