The PYQ practice room

GATE EE 2017 Set 1

All 65 solved GATE EE 2017 Set 1 questions in exam order. Open a question, commit to an answer, and learn from the step-by-step solution. One question at a time.

Attempt before revealInstant answer feedbackExplore questions

Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.

Questions

Paper marks

100

Question formats

MCQ · NAT

Revision mode

Self-paced

No timer. Focus on understanding.

Difficulty mixEasy 15Medium 42Hard 8

Explore the questions

65 of 65 questions

Question typeDifficultyYour progress

Electrical Engineering

1
Q1MCQ1 markMedium
The matrix A $= \begin{bmatrix} \frac{3}{2} & 0 & \frac{1}{2} \\ 0 & -1 & 0 \\ \frac{1}{2} & 0 & \frac{3}{2} \end{bmatrix}$ has three distinct eigenvalues and one of its…
Think it through. Then check your answer.
Question
$= \begin{bmatrix} \frac{3}{2} & 0 & \frac{1}{2} \\ 0 & -1 & 0 \\ \frac{1}{2} & 0 & \frac{3}{2} \end{bmatrix}$
Your answer
Choose one option, then check your answer.
A. $\begin{bmatrix} 0 \\ 0 \\ -1 \end{bmatrix}$ B. $\begin{bmatrix} -1 \\ 0 \\ 0 \end{bmatrix}$ C. $\begin{bmatrix} 1 \\ 0 \\ -1 \end{bmatrix}$ D. $\begin{bmatrix} 1 \\ -1 \\ 1 \end{bmatrix}$
Restoring your progress…
The solution stays hidden until you check.
$A = \begin{bmatrix} \frac{3}{2} & 0 & \frac{1}{2} \\ 0 & -1 & 0 \\ \frac{1}{2} & 0 & \frac{3}{2} \end{bmatrix}$
Open question page
2
Q2MCQ1 markMedium
For a complex number $z$ , $\lim_{z \to i} \frac{z^2 + 1}{z^3 + 2z - i(z^2 + 2)}$ is
Think it through. Then check your answer.
Question
$z$
Your answer
Choose one option, then check your answer.
A. $-2i$ B. $-i$ C. $i$ D. $2i$
Restoring your progress…
The solution stays hidden until you check.
$L = \lim_{z \to i} \frac{z^2 + 1}{z^3 + 2z - i(z^2 + 2)}$
Open question page
3
Q3MCQ1 markMedium
Let $z(t) = x(t) * y(t)$ , where "*" denotes convolution. Let $c$ be a positive real-valued constant. Choose the correct expression for $z(ct)$ .
Think it through. Then check your answer.
Question
$z(t) = x(t) * y(t)$
Your answer
Choose one option, then check your answer.
A. $c \cdot x(ct) * y(ct)$ B. $x(ct) * y(ct)$ C. $c \cdot x(t) * y(ct)$ D. $c \cdot x(ct) * y(t)$
Restoring your progress…
The solution stays hidden until you check.
$x(t)$
Open question page
4
Q4MCQ1 markMedium
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…
Think it through. Then check your answer.
Question
$A solid iron cylinder is placed in a region containing a uniform magnetic field such that the cylinder axis is parallel to the magnetic field direction. The magnetic field lines inside the cylinder will$
Your answer
Choose one option, then check your answer.
A. $bend closer to the cylinder axis$ B. $bend farther away from the axis$ C. $remain uniform as before$ D. $cease to exist inside the cylinder$
Restoring your progress…
The solution stays hidden until you check.
$\mu_r \gg 1$
Open question page
5
Q5MCQ1 markMedium
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…
Think it through. Then check your answer.
Question
$t = 0$
Your answer
Choose one option, then check your answer.
A. $the particles will never collide$ B. $all will collide together$ C. $proton and neutron$ D. $electron and neutron$
Restoring your progress…
The solution stays hidden until you check.
$F = \frac{e^2}{4\pi\epsilon_0 r^2}$
Open question page
6
Q6MCQ1 markMedium
The transfer function of a system is given by, $\frac{V_o(s)}{V_i(s)} = \frac{1 - s}{1 + s}$ Let the output of the system be $v_o(t) = V_m \sin(\omega t + \phi)$ for the input,…
Think it through. Then check your answer.
Question
$\frac{V_o(s)}{V_i(s)} = \frac{1 - s}{1 + s}$
Your answer
Choose one option, then check your answer.
A. $\frac{-\pi}{2}$ B. $\frac{-\pi}{2}$ C. $0$ D. $-\pi$
Restoring your progress…
The solution stays hidden until you check.
$H(s) = \frac{1-s}{1+s}$
Open question page
7
Q7MCQ1 markMedium
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
Think it through. Then check your answer.
Question
$y[n] = (1 + (-1)^n) x[n]$
Your answer
Choose one option, then check your answer.
A. $invertible and time invariant$ B. $invertible and time varying$ C. $non-invertible and time invariant$ D. $non-invertible and time varying$
Restoring your progress…
The solution stays hidden until you check.
$y[n] = (1 + (-1)^n) x[n]$
Open question page
8
Q8MCQ1 markMedium
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…
Think it through. Then check your answer.
Question
$A 4 pole induction machine is working as an induction generator. The generator supply frequency is 60 Hz. The rotor current frequency is 5 Hz. The mechanical speed of the rotor in RPM is$
Your answer
Choose one option, then check your answer.
A. $1350$ B. $1650$ C. $1950$ D. $2250$
Restoring your progress…
The solution stays hidden until you check.
$P = 4$
Open question page
9
Q9MCQ1 markMedium
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…
Think it through. Then check your answer.
Question
$v_{an} = 220 \sin(100\pi t)$
Your answer
Choose one option, then check your answer.
A. $2200 W$ B. $2200 \sin^2(100\pi t)$ C. $4400 W$ D. $2200 \sin(100\pi t) \cos(100\pi t)$
Restoring your progress…
The solution stays hidden until you check.
$p(t)$
Open question page
10
Q10MCQ1 markMedium
A 3-bus power system is shown in the figure below, where the diagonal elements of $Y$ -bus matrix are: $Y_{11} = -j12 \text{ pu}, Y_{22} = -j15 \text{ pu}$ and…
Think it through. Then check your answer.
Question
$Y$
Your answer
Choose one option, then check your answer.
A. $p = -0.2, q = -0.1, r = -0.5$ B. $p = 0.2, q = 0.1, r = 0.5$ C. $p = -5, q = -10, r = -2$ D. $p = 5, q = 10, r = 2$
Restoring your progress…
The solution stays hidden until you check.
$Y$
Open question page
11
Q11MCQ1 markEasy
A closed loop system has the characteristic equation given by $s^3 + Ks^2 + (K + 2)s + 3 = 0$ . For this system to be stable, which one of the following conditions should be…
Think it through. Then check your answer.
Question
$s^3 + Ks^2 + (K + 2)s + 3 = 0$
Your answer
Choose one option, then check your answer.
A. $0 < K < 0.5$ B. $0.5 < K < 1$ C. $0 < K < 1$ D. $K > 1$
Restoring your progress…
The solution stays hidden until you check.
$s^3 + Ks^2 + (K + 2)s + 3 = 0$
Open question page
12
Q12MCQ1 markMedium
The slope and level detector circuit in a CRO has a delay of $100 \text{ ns}$ . The start-stop sweep generator has a response time of $50 \text{ ns}$ . In order to display…
Think it through. Then check your answer.
Question
$100 \text{ ns}$
Your answer
Choose one option, then check your answer.
A. $150 \text{ ns}$ B. $150 \text{ ns}$ C. $150 \text{ ns}$ D. $100 \text{ ns}$
Restoring your progress…
The solution stays hidden until you check.
$100 \text{ ns} + 50 \text{ ns} = 150 \text{ ns}$
Open question page
13
Q13MCQ1 markEasy
The Boolean expression $AB + A\bar{C} + BC$ simplifies to
Think it through. Then check your answer.
Question
$AB + A\bar{C} + BC$
Your answer
Choose one option, then check your answer.
A. $BC + A\bar{C}$ B. $AB + A\bar{C} + B$ C. $AB + A\bar{C}$ D. $AB + BC$
Restoring your progress…
The solution stays hidden until you check.
$F = AB + A\bar{C} + BC$
Open question page
14
Q14MCQ1 markMedium
For the circuit shown in the figure below, assume that diodes $D_1$ , $D_2$ and $D_3$ are ideal. The DC components of voltages $v_1$ and $v_2$ , respectively are [figure]
Think it through. Then check your answer.
Question
$D_1$
Your answer
Choose one option, then check your answer.
A. $0\text{ V}$ B. $-0.5\text{ V}$ C. $1\text{ V}$ D. $1\text{ V}$
Restoring your progress…
The solution stays hidden until you check.
$D_1$
Open question page
15
Q15MCQ1 markEasy
For the power semiconductor devices IGBT, MOSFET, Diode and Thyristor, which one of the following statements is TRUE?
Think it through. Then check your answer.
Question
$For the power semiconductor devices IGBT, MOSFET, Diode and Thyristor, which one of the following statements is TRUE?$
Your answer
Choose one option, then check your answer.
A. $All the four are majority carrier devices.$ B. $All the four are minority carrier devices.$ C. $IGBT and MOSFET are majority carrier devices, whereas Diode and Thyristor are minority carrier devices.$ D. $MOSFET is majority carrier device, whereas IGBT, Diode, Thyristor are minority carrier devices.$
Restoring your progress…
The solution stays hidden until you check.
$Correct answer (D) MOSFET is majority carrier device, whereas IGBT, Diode, Thyristor are minority carrier devices. Step-by-step solution MOSFET is a majority carrier device . Its operation depends only on the flow of majority carriers (electrons in n-channel). IGBT is a minority carrier device . It uses conductivity modulation where minority carriers are injected into the drift region to reduce on-state resistance. Power Diode is a minority carrier device due to conductivity modulation in the drift region during forward bias. Thyristor is a minority carrier device as its operation involves the injection of minority carriers across multiple p-n junctions. Therefore, statement (D) is correct. Turn this into a strength. Explore AI-powered practice and doubt support with Success Tracker.$
Open question page
16
Q16NAT1 markMedium
Consider $g(t) = \begin{cases} t - \lfloor t \rfloor, & t \geq 0 \\ t - \lceil t \rceil, & \text{otherwise} \end{cases}$ , where $t \in \mathbb{R}$ . Here, $\lfloor t \rfloor$ …
Think it through. Then check your answer.
Question
$g(t) = \begin{cases} t - \lfloor t \rfloor, & t \geq 0 \\ t - \lceil t \rceil, & \text{otherwise} \end{cases}$
Answer checking is unavailable for this question. You can review the published solution without a score.
$g(t)$
Open question page
17
Q17NAT1 markMedium
Let $I = c \iint_R xy^2 \, dxdy$ , where $R$ is the region shown in the figure and $c = 6 \times 10^{-4}$ . The value of $I$ equals ________. (Give the answer up to two decimal…
Think it through. Then check your answer.
Question
$I = c \iint_R xy^2 \, dxdy$
Your answer
Enter a number. Decimals, negative values and scientific notation are accepted.
Numerical answer
Restoring your progress…
The solution stays hidden until you check.
$R$
Open question page
18
Q18NAT1 markMedium
The power supplied by the $25\text{ V}$ source in the figure shown below is ________ $\text{W}$ . [figure]
Think it through. Then check your answer.
Question
$25\text{ V}$
Your answer
Enter a number. Decimals, negative values and scientific notation are accepted.
Numerical answer
Restoring your progress…
The solution stays hidden until you check.
$14\text{ A}$
Open question page
19
Q19NAT1 markMedium
The equivalent resistance between the terminals A and B is ______ $\Omega$ . [figure]
Think it through. Then check your answer.
Question
$\Omega$
Your answer
Enter a number. Decimals, negative values and scientific notation are accepted.
Numerical answer
Restoring your progress…
The solution stays hidden until you check.
$N_1$
Open question page
20
Q20NAT1 markMedium
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…
Think it through. Then check your answer.
Question
$\Omega$
Your answer
Enter a number. Decimals, negative values and scientific notation are accepted.
Numerical answer
Restoring your progress…
The solution stays hidden until you check.
$V_L = 6.6\text{ kV}$
Open question page
21
Q21NAT1 markMedium
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…
Think it through. Then check your answer.
Question
$A 10-bus power system consists of four generator buses indexed as G1, G2, G3, G4 and six load buses indexed as L1, L2, L3, L4, L5, L6. The generator-bus G1 is considered as slack bus, and the load buses L3 and L4 are voltage controlled buses. The generator at bus G2 cannot supply the required reactive power demand, and hence it is operating at its maximum reactive power limit. The number of non-linear equations required for solving the load flow problem using Newton-Raphson method in polar form is______.$
Your answer
Enter a number. Decimals, negative values and scientific notation are accepted.
Numerical answer
Restoring your progress…
The solution stays hidden until you check.
$n = 10$
Open question page
22
Q22NAT1 markMedium
Consider the unity feedback control system shown. The value of $K$ that results in a phase margin of the system to be $30^\circ$ is ______. (Give the answer up to two decimal…
Think it through. Then check your answer.
Question
$K$
Your answer
Enter a number. Decimals, negative values and scientific notation are accepted.
Numerical answer
Restoring your progress…
The solution stays hidden until you check.
$G(s)H(s) = \frac{Ke^{-s}}{s}$
Open question page
23
Q23NAT1 markMedium
The following measurements are obtained on a single phase load: $V = 220\text{ V} \pm 1\%$ , $I = 5.0\text{ A} \pm 1\%$ and $W = 555\text{ W} \pm 2\%$ . If the power factor is…
Think it through. Then check your answer.
Question
$V = 220\text{ V} \pm 1\%$
Your answer
Enter a number. Decimals, negative values and scientific notation are accepted.
Numerical answer
Restoring your progress…
The solution stays hidden until you check.
$pf$
Open question page
24
Q24NAT1 markEasy
In the converter circuit shown below, the switches are controlled such that the load voltage $v_o(t)$ is a $400\text{ Hz}$ square wave. [figure] The RMS value of the fundamental…
Think it through. Then check your answer.
Question
$v_o(t)$
Your answer
Enter a number. Decimals, negative values and scientific notation are accepted.
Numerical answer
Restoring your progress…
The solution stays hidden until you check.
$V_{dc}$
Open question page
25
Q25NAT1 markMedium
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 $20 \Omega$ per phase, the load power for…
Think it through. Then check your answer.
Question
$20 \Omega$
Your answer
Enter a number. Decimals, negative values and scientific notation are accepted.
Numerical answer
Restoring your progress…
The solution stays hidden until you check.
$120^\circ$
Open question page
26
Q26MCQ2 marksMedium
A function $f(x)$ is defined as $f(x) = \begin{cases} e^x, & x < 1 \\ \ln x + ax^2 + bx, & x \geq 1 \end{cases}$ , where $x \in \mathbb{R}$ . Which one of the following statements…
Think it through. Then check your answer.
Question
$f(x)$
Your answer
Choose one option, then check your answer.
A. $f(x)$ B. $f(x)$ C. $f(x)$ D. $f(x)$
Restoring your progress…
The solution stays hidden until you check.
$f(x)$
Open question page
27
Q27MCQ2 marksMedium
Consider the differential equation $(t^2 - 81) \frac{dy}{dt} + 5t y = \sin(t)$ with $y(1) = 2\pi$ . There exists a unique solution for this differential equation when $t$ belongs…
Think it through. Then check your answer.
Question
$(t^2 - 81) \frac{dy}{dt} + 5t y = \sin(t)$
Your answer
Choose one option, then check your answer.
A. $(-2, 2)$ B. $(-10, 10)$ C. $(-10, 2)$ D. $(0, 10)$
Restoring your progress…
The solution stays hidden until you check.
$(t^2 - 81) \frac{dy}{dt} + 5t y = \sin(t)$
Open question page
28
Q28MCQ2 marksMedium
Consider the line integral $I = \int_C (x^2 + iy^2) dz$ , where $z = x + iy$ . The line $C$ is shown in the figure below. [figure] The value of I is
Think it through. Then check your answer.
Question
$I = \int_C (x^2 + iy^2) dz$
Your answer
Choose one option, then check your answer.
A. $\frac{1}{2} i$ B. $\frac{2}{3} i$ C. $\frac{3}{4} i$ D. $\frac{4}{5} i$
Restoring your progress…
The solution stays hidden until you check.
$C$
Open question page
29
Q29MCQ2 marksMedium
Two passive two-port networks are connected in cascade as shown in figure. A voltage source is connected at port 1. [figure] Given $V_1 = A_1 V_2 + B_1 I_2$ …
Think it through. Then check your answer.
Question
$V_1 = A_1 V_2 + B_1 I_2$
Your answer
Choose one option, then check your answer.
A. $V_T = \frac{V_1}{A_1 A_2}, Z_T = \frac{A_1 B_2 + B_1 D_2}{A_1 A_2 + B_1 C_2}$ B. $V_T = \frac{V_1}{A_1 A_2 + B_1 C_2}, Z_T = \frac{A_1 B_2 + B_1 D_2}{A_1 A_2}$ C. $V_T = \frac{V_1}{A_1 + A_2}, Z_T = \frac{A_1 B_2 + B_1 D_2}{A_1 + A_2}$ D. $V_T = \frac{V_1}{A_1 A_2 + B_1 C_2}, Z_T = \frac{A_1 B_2 + B_1 D_2}{A_1 A_2 + B_1 C_2}$
Restoring your progress…
The solution stays hidden until you check.
$\begin{bmatrix} A & B \\ C & D \end{bmatrix} = \begin{bmatrix} A_1 & B_1 \\ C_1 & D_1 \end{bmatrix} \begin{bmatrix} A_2 & B_2 \\ C_2 & D_2 \end{bmatrix} = \begin{bmatrix} A_1 A_2 + B_1 C_2 & A_1 B_2 + B_1 D_2 \\ C_1 A_2 + D_1 C_2 & C_1 B_2 + D_1 D_2 \end{bmatrix}$
Open question page
30
Q30MCQ2 marksEasy
Let a causal LTI system be characterized by the following differential equation, with initial rest condition…
Think it through. Then check your answer.
Question
$\frac{d^2y}{dt^2} + 7 \frac{dy}{dt} + 10y(t) = 4x(t) + 5 \frac{dx(t)}{dt}$
Your answer
Choose one option, then check your answer.
A. $2e^{-2t}u(t) - 7e^{-5t}u(t)$ B. $-2e^{-2t}u(t) + 7e^{-5t}u(t)$ C. $7e^{-2t}u(t) - 2e^{-5t}u(t)$ D. $-7e^{-2t}u(t) + 2e^{-5t}u(t)$
Restoring your progress…
The solution stays hidden until you check.
$s^2 Y(s) + 7s Y(s) + 10 Y(s) = 4 X(s) + 5s X(s)$
Open question page
31
Q31MCQ2 marksMedium
Let the signal $x(t) = \sum_{k=-\infty}^{+\infty} (-1)^k \delta\left(t - \frac{k}{2000}\right)$ be passed through an LTI system with frequency response $H(\omega)$ , as given in…
Think it through. Then check your answer.
Question
$x(t) = \sum_{k=-\infty}^{+\infty} (-1)^k \delta\left(t - \frac{k}{2000}\right)$
Your answer
Choose one option, then check your answer.
A. $4000 + 4000 \cos(2000\pi t) + 4000 \cos(4000\pi t)$ B. $2000 + 2000 \cos(2000\pi t) + 2000 \cos(4000\pi t)$ C. $4000 \cos(2000\pi t)$ D. $2000 \cos(2000\pi t)$
Restoring your progress…
The solution stays hidden until you check.
$x(t)$
Open question page
32
Q32MCQ2 marksMedium
In the system whose signal flow graph is shown in the figure, $U_1(s)$ and $U_2(s)$ are inputs. The transfer function $\frac{Y(s)}{U_1(s)}$ is [figure]
Think it through. Then check your answer.
Question
$U_1(s)$
Your answer
Choose one option, then check your answer.
A. $\frac{k_1}{JLs^2 + JRs + k_1 k_2}$ B. $\frac{k_1}{JLs^2 - JRs - k_1 k_2}$ C. $\frac{k_1 - U_2(R + sL)}{JLs^2 + (JR - U_2 L)s + k_1 k_2 - U_2 R}$ D. $\frac{k_1 - U_2(sL - R)}{JLs^2 - (JR + U_2 L)s - k_1 k_2 + U_2 R}$
Restoring your progress…
The solution stays hidden until you check.
$U_1(s)$
Open question page
33
Q33MCQ2 marksEasy
The transfer function of the system $Y(s)/U(s)$ whose state-space equations are given below is:…
Think it through. Then check your answer.
Question
$Y(s)/U(s)$
Your answer
Choose one option, then check your answer.
A. $\frac{(s+2)}{(s^2 - 2s - 2)}$ B. $\frac{(s-2)}{(s^2 + s - 4)}$ C. $\frac{(s-4)}{(s^2 + s - 4)}$ D. $\frac{(s+4)}{(s^2 - s - 4)}$
Restoring your progress…
The solution stays hidden until you check.
$T(s) = C(sI - A)^{-1} B + D$
Open question page
34
Q34MCQ2 marksHard
The load shown in the figure is supplied by a $400\text{ V}$ (line-to-line), 3-phase source (RYB sequence). The load is balanced and inductive, drawing $3464\text{ VA}$ . When the…
Think it through. Then check your answer.
Question
$400\text{ V}$
Your answer
Choose one option, then check your answer.
A. $W_1 = 1732$ B. $W_1 = 0, W_2 = 1732$ C. $W_1 = W_2 = 0$ D. $W_1 = W_2 = 1732$
Restoring your progress…
The solution stays hidden until you check.
$P = W_1 + W_2 + W_3 = 3 \times 577.35 = 1732.05\text{ W}$
Open question page
35
Q35MCQ2 marksMedium
The approximate transfer characteristic for the circuit shown below with an ideal operational amplifier and diode will be [figure]
Think it through. Then check your answer.
Question
$The approximate transfer characteristic for the circuit shown below with an ideal operational amplifier and diode will be$
Your answer
Choose one option, then check your answer.
A.B.C.D.
Restoring your progress…
The solution stays hidden until you check.
$V_{in} > 0$
Open question page
36
Q36MCQ2 marksEasy
The output expression for the Karnaugh map shown below is [figure]
Think it through. Then check your answer.
Question
$The output expression for the Karnaugh map shown below is$
Your answer
Choose one option, then check your answer.
A. $B\bar{D} + BCD$ B. $B\bar{D} + AB$ C. $\bar{B}D + ABC$ D. $B\bar{D} + ABC$
Restoring your progress…
The solution stays hidden until you check.
$AB$
Open question page
37
Q37MCQ2 marksEasy
The logical gate implemented using the circuit shown below where, $V_1$ and $V_2$ are inputs (with $0\text{ V}$ as digital $0$ and $5\text{ V}$ as digital $1$ ) and $V_{OUT}$ is…
Think it through. Then check your answer.
Question
$V_1$
Your answer
Choose one option, then check your answer.
A. $NOT$ B. $NOR$ C. $NAND$ D. $XOR$
Restoring your progress…
The solution stays hidden until you check.
$Q_1$
Open question page
38
Q38MCQ2 marksMedium
The input voltage $V_{DC}$ of the buck-boost converter shown below varies from $32\text{ V}$ to $72\text{ V}$ . Assume that all components are ideal, inductor current is…
Think it through. Then check your answer.
Question
$V_{DC}$
Your answer
Choose one option, then check your answer.
A. $\frac{2}{5} \leq D \leq \frac{3}{5}$ B. $\frac{2}{3} \leq D \leq \frac{3}{4}$ C. $0 \leq D \leq 1$ D. $\frac{1}{3} \leq D \leq \frac{2}{3}$
Restoring your progress…
The solution stays hidden until you check.
$V_o$
Open question page
39
Q39MCQ2 marksMedium
A load is supplied by a $230\text{ V}$ , $50\text{ Hz}$ source. The active power $P$ and the reactive power $Q$ consumed by the load are such that…
Think it through. Then check your answer.
Question
$230\text{ V}$
Your answer
Choose one option, then check your answer.
A. $0.447\text{ lag}$ B. $0.707\text{ lag}$ C. $0.894\text{ lag}$ D. $1$
Restoring your progress…
The solution stays hidden until you check.
$P \in [1, 2]\text{ kW}$
Open question page
40
Q40MCQ2 marksMedium
The bus admittance matrix for a power system network is $[Y] = \begin{bmatrix} -j39.9 & j20 & j20 \\ j20 & -j39.9 & j20 \\ j20 & j20 & -j39.9 \end{bmatrix} \text{ pu. }$ …
Think it through. Then check your answer.
Question
$[Y] = \begin{bmatrix} -j39.9 & j20 & j20 \\ j20 & -j39.9 & j20 \\ j20 & j20 & -j39.9 \end{bmatrix} \text{ pu. }$
Your answer
Choose one option, then check your answer.
A.B.C.D.
Restoring your progress…
The solution stays hidden until you check.
$[Y] = \begin{bmatrix} -j39.9 & j20 & j20 \\ j20 & -j39.9 & j20 \\ j20 & j20 & -j39.9 \end{bmatrix}$
Open question page
41
Q41MCQ2 marksMedium
The switch in the figure below was closed for a long time. It is opened at $t = 0$ . The current in the inductor of $2\text{ H}$ for $t \geq 0$ , is [figure]
Think it through. Then check your answer.
Question
$t = 0$
Your answer
Choose one option, then check your answer.
A. $2.5e^{-4t}$ B. $5e^{-4t}$ C. $2.5e^{-0.25t}$ D. $5e^{-0.25t}$
Restoring your progress…
The solution stays hidden until you check.
$t < 0$
Open question page
42
Q42NAT2 marksMedium
Only one of the real roots of $f(x) = x^6 - x - 1$ lies in the interval $1 \leq x \leq 2$ and bisection method is used to find its value. For achieving an accuracy of 0.001, the…
Think it through. Then check your answer.
Question
$f(x) = x^6 - x - 1$
Your answer
Enter a number. Decimals, negative values and scientific notation are accepted.
Numerical answer
Restoring your progress…
The solution stays hidden until you check.
$n$
Open question page
43
Q43NAT2 marksMedium
In the circuit shown below, the maximum power transferred to the resistor R is ________ W. [figure]
Think it through. Then check your answer.
Question
$In the circuit shown below, the maximum power transferred to the resistor R is________W.$
Your answer
Enter a number. Decimals, negative values and scientific notation are accepted.
Numerical answer
Restoring your progress…
The solution stays hidden until you check.
$R$
Open question page
44
Q44NAT2 marksMedium
The magnitude of magnetic flux density (B) in micro Teslas ( $\mu T$ ), at the center of a loop of wire wound as a regular hexagon of side length 1 m carrying a current ( $I=1$ A),…
Think it through. Then check your answer.
Question
$\mu T$
Your answer
Enter a number. Decimals, negative values and scientific notation are accepted.
Numerical answer
Restoring your progress…
The solution stays hidden until you check.
$I$
Open question page
45
Q45NAT2 marksHard
A 375 W, 230 V, 50 Hz, capacitor start single-phase induction motor has the following constants for the main and auxiliary windings (at starting): $Z_m = (12.50 + j15.75) \Omega$ …
Think it through. Then check your answer.
Question
$Z_m = (12.50 + j15.75) \Omega$
Your answer
Enter a number. Decimals, negative values and scientific notation are accepted.
Numerical answer
Restoring your progress…
The solution stays hidden until you check.
$I_m I_a \sin(\phi_m - \phi_a)$
Open question page
46
Q46NAT2 marksHard
Two parallel connected, three-phase, 50Hz, 11 kV, star-connected synchronous machines A and B, are operating as synchronous condensers. They together supply 50 MVAR to a 11 kV…
Think it through. Then check your answer.
Question
$1\Omega$
Your answer
Enter a number. Decimals, negative values and scientific notation are accepted.
Numerical answer
Restoring your progress…
The solution stays hidden until you check.
$V_{ph} = \frac{11000}{\sqrt{3}} \approx 6350.85$
Open question page
47
Q47NAT2 marksMedium
A 220 V DC series motor runs drawing a current of 30 A from the supply. Armature and field circuit resistances are $0.4\Omega$ and $0.1\Omega$ , respectively. The load torque…
Think it through. Then check your answer.
Question
$0.4\Omega$
Your answer
Enter a number. Decimals, negative values and scientific notation are accepted.
Numerical answer
Restoring your progress…
The solution stays hidden until you check.
$V = 220$
Open question page
48
Q48NAT2 marksHard
A three-phase, three winding $\Delta/\Delta/Y$ (1.1 kV/6.6 kV/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…
Think it through. Then check your answer.
Question
$\Delta/\Delta/Y$
Your answer
Enter a number. Decimals, negative values and scientific notation are accepted.
Numerical answer
Restoring your progress…
The solution stays hidden until you check.
$S_2 = 900 \angle -\cos^{-1}(0.8) = 720 - j540$
Open question page
49
Q49NAT2 marksMedium
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 $0.1 \Omega$ . If the speed of…
Think it through. Then check your answer.
Question
$0.1 \Omega$
Your answer
Enter a number. Decimals, negative values and scientific notation are accepted.
Numerical answer
Restoring your progress…
The solution stays hidden until you check.
$E_g$
Open question page
50
Q50NAT2 marksEasy
For a system having transfer function $G(s) = \frac{-s + 1}{s + 1}$ , a unit step input is applied at time $t = 0$ . The value of the response of the system at $t = 1.5\text{ sec}$ …
Think it through. Then check your answer.
Question
$G(s) = \frac{-s + 1}{s + 1}$
Your answer
Enter a number. Decimals, negative values and scientific notation are accepted.
Numerical answer
Restoring your progress…
The solution stays hidden until you check.
$G(s) = \frac{Y(s)}{U(s)} = \frac{-s + 1}{s + 1}$
Open question page
51
Q51NAT2 marksHard
Consider a causal and stable LTI system with rational transfer function $H(z)$ , whose corresponding impulse response begins at $n = 0$ . Furthermore, $H(1) = \frac{5}{4}$ . The…
Think it through. Then check your answer.
Question
$H(z)$
Your answer
Enter a number. Decimals, negative values and scientific notation are accepted.
Numerical answer
Restoring your progress…
The solution stays hidden until you check.
$H(z)$
Open question page
52
Q52NAT2 marksHard
The circuit shown in the figure uses matched transistors with a thermal voltage $V_T = 25\text{ mV}$ . The base currents of the transistors are negligible. The value of the…
Think it through. Then check your answer.
Question
$V_T = 25\text{ mV}$
Your answer
Enter a number. Decimals, negative values and scientific notation are accepted.
Numerical answer
Restoring your progress…
The solution stays hidden until you check.
$V_{BE1} - V_{BE2} = I_{C2}R$
Open question page
53
Q53NAT2 marksHard
The figure below shows an uncontrolled diode bridge rectifier supplied from a $220\text{ V}$ , $50\text{ Hz}$ , 1-phase ac source. The load draws a constant current…
Think it through. Then check your answer.
Question
$220\text{ V}$
Your answer
Enter a number. Decimals, negative values and scientific notation are accepted.
Numerical answer
Restoring your progress…
The solution stays hidden until you check.
$L_s$
Open question page
54
Q54NAT2 marksMedium
The positive, negative, and zero sequence reactances of a wye-connected synchronous generator are $0.2\text{ pu}$ , $0.2\text{ pu}$ , and $0.1\text{ pu}$ , respectively. The…
Think it through. Then check your answer.
Question
$0.2\text{ pu}$
Your answer
Enter a number. Decimals, negative values and scientific notation are accepted.
Numerical answer
Restoring your progress…
The solution stays hidden until you check.
$I_f$
Open question page
55
Q55NAT2 marksHard
The figure shows the single line diagram of a power system with a double circuit transmission line. The expression for electrical power is $1.5 \sin \delta$ , where $\delta$ is the…
Think it through. Then check your answer.
Question
$1.5 \sin \delta$
Your answer
Enter a number. Decimals, negative values and scientific notation are accepted.
Numerical answer
Restoring your progress…
The solution stays hidden until you check.
$P_{e1} = 1.5\sin\delta$
Open question page

$s^n$	Col 1	Col 2
$s^3$	1	$K+2$
$s^2$	$K$	3
$s^1$	$\frac{K(K+2) - 3}{K}$	0
$s^0$	3

$V_1$	$V_2$	$V_{OUT}$
0	0	1
0	1	0
1	0	0
1	1	0

Your revision session

0 / 65

attempted

Correct

Incorrect

—

Accuracy

Saved in this browser only. Revision practice, not a timed score or account activity.

Success Tracker

AI-powered practice, built around you

Unlimited practice on eligible plans

Personalised practiceChoose topics and build confidence in your weaker areas.
AI doubt supportAsk follow-up questions when a solution does not click.
Progress that guides youTrack practice in your account and revisit mistakes.

Try GATE EE 2017 Set 1 as a timed test. Test access depends on your practice allowance.

Start with a free account View plans and allowances

Free practice and AI usage have limits. This page stays readable without an account. AI responses can be wrong; check the solution and source material.

Question navigator

CorrectIncorrectReview

Explore the questions

General Aptitude (GA)

Question

Correct answer

Step-by-step solution

Question

Correct answer

Step-by-step solution

Question

Correct answer

Step-by-step solution

Question

Correct answer

Step-by-step solution

Question

Correct answer

Step-by-step solution

Question

Correct answer

Step-by-step solution

Question

Correct answer

Step-by-step solution

Question

Correct answer

Step-by-step solution

Question

Correct answer

Step-by-step solution

Question

Correct answer

Step-by-step solution

Electrical Engineering

Question

Correct answer

Step-by-step solution

Question

Correct answer

Step-by-step solution

Question

Correct answer

Step-by-step solution

Question

Correct answer

Step-by-step solution

Question

Correct answer

Step-by-step solution

Question

Correct answer

Step-by-step solution

Question

Correct answer

Step-by-step solution

Question

Correct answer

Step-by-step solution

Question

Correct answer

Step-by-step solution

Question

Correct answer

Step-by-step solution

Question

Correct answer

Step-by-step solution

Question

Correct answer

Step-by-step solution

Question

Correct answer

Step-by-step solution

Question

Correct answer

Step-by-step solution

Question

Correct answer

Step-by-step solution

Question

Step-by-step solution