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Recent questions tagged gate2013-ee
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1
GATE Electrical 2013 | Question: 63
The set of values of $p$ for which the roots of the equation $3x^2+2x+p(p-1)=0$ are of opposite sign is $(-\infty ,0)$ $(0,1)$ $(1,\infty )$ $(0,\infty )$
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Quantitative Aptitude
Feb 12, 2017
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piyag476
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gate2013-ee
numerical-ability
quadratic-equations
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2
GATE Electrical 2013 | Question: 65
Find the sum to $n$ terms of the series $10+84+ 734 +\dots $ $\dfrac{9(9^n+1)}{10}+1 \\$ $\dfrac{9(9^n-1)}{8}+1 \\$ $\dfrac{9(9^n-1)}{8}+n \\$ $\dfrac{9(9^n-1)}{8}+n^2$
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Quantitative Aptitude
Feb 12, 2017
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piyag476
1.5k
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gate2013-ee
numerical-ability
arithmetic-series
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3
GATE Electrical 2013 | Question: 62
Statement: There were different streams of freedom movements in colonial India carried out by the moderates, liberals, radicals, socialists, and so on. Which one of the following is the best inference from the above statement? The ... in India emerged in the context of colonialism. Nationalism in India is homogeneous. Nationalism in India is heterogeneous.
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Verbal Aptitude
Feb 12, 2017
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piyag476
1.5k
points
gate2013-ee
verbal-ability
verbal-reasoning
0
votes
1
answer
4
GATE Electrical 2013 | Question: 60
Statement: You can always give me a ring whenever you need. Which one of the following is the best inference from the above statement? Because I have a nice caller tune. Because I have a better telephone facility. Because a friend in need is a friend indeed. Because you need not pay towards the telephone bills when you give me a ring.
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Verbal Aptitude
Feb 12, 2017
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piyag476
1.5k
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gate2013-ee
verbal-ability
verbal-reasoning
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votes
1
answer
5
GATE Electrical 2013 | Question: 59
Choose the grammatically CORRECT sentence: Two and two add four. Two and two become four. Two and two are four. Two and two make four.
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Verbal Aptitude
Feb 12, 2017
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piyag476
1.5k
points
gate2013-ee
verbal-ability
english-grammar
0
votes
1
answer
6
GATE Electrical 2013 | Question: 58
Complete the sentence: Dare _______________ mistakes. commit to commit committed committing
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Verbal Aptitude
Feb 12, 2017
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piyag476
1.5k
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gate2013-ee
verbal-ability
english-grammar
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votes
0
answers
7
GATE Electrical 2013 | Question: 56
They were requested not to $\textbf{quarrel}$ with others. Which one of the following options is the closest in meaning to the word $\textbf{quarrel}$? make out call out dig out fall out
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Verbal Aptitude
Feb 12, 2017
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piyag476
1.5k
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gate2013-ee
verbal-ability
word-meaning
0
votes
0
answers
8
GATE Electrical 2013 | Question: 64
A car travels $8$ km in the first quarter of an hour, $6$ km in the second quarter and $16$ km in the third quarter. The average speed of the car in km per hour over the entire journey is $30$ $36$ $40$ $24$
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Quantitative Aptitude
Feb 12, 2017
by
piyag476
1.5k
points
gate2013-ee
numerical-ability
speed-time-distance
average-speed
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votes
0
answers
9
GATE Electrical 2013 | Question: 57
In the summer of $2012,$ in New Delhi, the mean temperature of Monday to Wednesday was $41^{\circ}C$ and of Tuesday to Thursday was $43^{\circ}C$. If the temperature on Thursday was $15\%$ higher than that of Monday, then the temperature in $^{\circ}C$ on Thursday was $40$ $43$ $46$ $49$
piyag476
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Quantitative Aptitude
Feb 12, 2017
by
piyag476
1.5k
points
gate2013-ee
numerical-ability
percentage
0
votes
0
answers
10
GATE Electrical 2013 | Question: 61
What is the chance that a leap year, selected at random, will contain $53$ Saturdays? $2/7$ $3/7$ $1/7$ $5/7$
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Quantitative Aptitude
Feb 12, 2017
by
piyag476
1.5k
points
gate2013-ee
numerical-ability
probability
leap-year
0
votes
0
answers
11
GATE Electrical 2013 | Question: 51
The state variable formulation of a system is given as $\begin{bmatrix} x^\cdot_1 \\ x^\cdot_2 \end{bmatrix}=\begin{bmatrix} -2 & 0\\ 0 & -1 \end{bmatrix}\begin{bmatrix} x_1\\ x_2 \end{bmatrix}+\begin{bmatrix} 1\\ 1 \end{bmatrix}u$ , $x_1(0)=0$ , $x_2(0)=0$ ... $1-\dfrac{1}{2}e^{-2t}-\dfrac{1}{2}e^{-t} \\$ $e^{-2t}-e^{-t} \\$ $1-e^{-t}$
piyag476
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Linear Algebra
Feb 12, 2017
by
piyag476
1.5k
points
gate2013-ee
linear-algebra
matrices
state-equations
system-of-linear-equations
1
vote
0
answers
12
GATE Electrical 2013 | Question: 50
The state variable formulation of a system is given as ... The system is controllable but not observable not controllable but observable both controllable and observable both not controllable and not observable
piyag476
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in
Linear Algebra
Feb 12, 2017
by
piyag476
1.5k
points
gate2013-ee
linear-algebra
matrices
state-equations
system-of-linear-equations
0
votes
0
answers
13
GATE Electrical 2013 | Question: 46
A function $y=5x^2+10x$ is defined over an open interval $x$ = $(1, 2)$ . At least at one point in this interval, $\dfrac{\mathrm{dy} }{\mathrm{d} x}$ is exactly $20$ $25$ $30$ $35$
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Calculus
Feb 12, 2017
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piyag476
1.5k
points
gate2013-ee
calculus
derivatives
0
votes
0
answers
14
GATE Electrical 2013 | Question: 55
The Voltage Source Inverter $(VSI)$ shown in the figure below is switched to provide a $50 Hz$, square-wave ac output voltage $(vo)$ cross an $R-L$ load. Reference polarity of $vo$ and reference direction of the output current $i_0$ are ... the $IGBTs$ during turn-on/turn-off is ZVS during turn-off ZVS during turn-on ZCS during turn-off ZCS during turn-on
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Analog and Digital Electronics
Feb 12, 2017
by
piyag476
1.5k
points
gate2013-ee
switching
turn-on-time
turn-off
time
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votes
0
answers
15
GATE Electrical 2013 | Question: 52
In the following network, the voltage magnitudes at all buses are equal to $1 p.u.$, the voltage phase angles are very small, and the line resistances are negligible. All the line reactances are equal to $j1$ $\Omega.$ The voltage phase angles in rad at buses $2$ and $3$ ... $\theta _2=0,\theta _3=-0.1$ $\theta _2=0.1,\theta _3=0.1$ $\theta _2=0.1,\theta _3=0.2$
piyag476
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Power Systems
Feb 12, 2017
by
piyag476
1.5k
points
gate2013-ee
pv-buses
pq-buses
0
votes
0
answers
16
GATE Electrical 2013 | Question: 47
When the $\text{Newton-Raphson}$ method is applied to solve the equation $f(x)=x^3+2x-1=0$ ,the solution at the end of the first iteration with the initial guess value as $x_0$ =$1.2$ is $-0.82$ $0.49$ $0.705$ $1.69$
piyag476
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Power Systems
Feb 12, 2017
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piyag476
1.5k
points
gate2013-ee
iterative-techniques
line-losses
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votes
0
answers
17
GATE Electrical 2013 | Question: 48
In the figure shown below, the chopper feeds a resistive load from a battery source. $MOSFET\: Q $ is switched at $250 kHz$ with a $\text{duty ratio}$ of $0.4$. All elements of the circuit are assumed to be ideal. The average source current in Amps in steady-state is $3/2$ $5/3$ $5/2$ $15/4$
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Analog and Digital Electronics
Feb 12, 2017
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piyag476
1.5k
points
gate2013-ee
mosfet
diode
clippers
0
votes
0
answers
18
GATE Electrical 2013 | Question: 53
In the following network, the voltage magnitudes at all buses are equal to $1 p.u.$, the voltage phase angles are very small, and the line resistances are negligible. All the line reactances are equal to $j1$ $\Omega.$ If the base impedance and the line- ... , then the real power in $MW$ delivered by the generator connected at the slack bus is $-10$ $0$ $10$ $20$
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Power Systems
Feb 12, 2017
by
piyag476
1.5k
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gate2013-ee
power-flow-analysis
buses
0
votes
0
answers
19
GATE Electrical 2013 | Question: 54
The Voltage Source Inverter $(VSI)$ shown in the figure below is switched to provide a $50 Hz$, square-wave ac output voltage $(vo)$ across an $R-L$ load. Reference polarity of $vo$ and reference direction of the output current $i_o$ are indicated in the ... $Q1, Q2$ $Q3, Q4$ $D1, D2$ $D3, D4$
piyag476
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in
Analog and Digital Electronics
Feb 12, 2017
by
piyag476
1.5k
points
gate2013-ee
inverter
duality-switch
0
votes
0
answers
20
GATE Electrical 2013 | Question: 49
In the figure shown below, the chopper feeds a resistive load from a battery source. $MOSFET\: Q$ is switched at $250 kHz$ with a $\text{duty ratio}$ of $0.4$. All elements of the circuit are assumed to be ideal. The PEAK-TO-PEAK source current ripple in $Amps$ is $0.96$ $0.144$ $0.192$ $0.288$
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Analog and Digital Electronics
Feb 12, 2017
by
piyag476
1.5k
points
gate2013-ee
ripple-current
electronics
0
votes
0
answers
21
GATE Electrical 2013 | Question: 37
The clock frequency applied to the digital circuit shown in the figure below is $1$ $kHz$. If the initial state of the output $Q$ of the flip-flop is ‘$0$’, then the frequency of the output waveform $Q$ in $kHz$ is $0.25$ $0.5$ $1$ $2$
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Analog and Digital Electronics
Feb 12, 2017
by
piyag476
1.5k
points
gate2013-ee
analog-and-digital-electronics
sequential-circuit
flip-flop
0
votes
0
answers
22
GATE Electrical 2013 | Question: 36
$\displaystyle{}\int \frac{z^2-4}{z^2+4}\: dz$ evaluated anticlockwise around the circle $\mid z-i \mid=2$ , where $i=\sqrt{-1}$, is $-4\pi$ $0$ $2+\pi$ $2+2i$
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Complex Variables
Feb 12, 2017
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piyag476
1.5k
points
gate2013-ee
complex-variables
cauchys-integral-theorem
0
votes
0
answers
23
GATE Electrical 2013 | Question: 35
A matrix has eigenvalues $-1$ and $-2$. The corresponding eigenvectors are $\begin{bmatrix} 1\\-1 \end{bmatrix}$ and $\begin{bmatrix} 1\\-2 \end{bmatrix}$ respectibely. The matrix is $\begin{bmatrix} 1 & 1\\ -1 & -2 \end{bmatrix} \\$ ... $\begin{bmatrix} 0& 1\\ -2 & 3 \end{bmatrix}$
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Linear Algebra
Feb 12, 2017
by
piyag476
1.5k
points
gate2013-ee
linear-algebra
matrices
eigen-values
eigen-vectors
0
votes
0
answers
24
GATE Electrical 2013 | Question: 40
The signal flow graph for a system is given below. The transfer function $\dfrac{Y(s)}{U(s)}$ for this system is $\dfrac{s+1}{5s^2+6s+2} \\$ $\dfrac{s+1}{s^2+6s+2} \\$ $\dfrac{s+1}{s^2+4s+2} \\$ $\dfrac{1}{5s^2+6s+2}$
piyag476
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in
Control Systems
Feb 12, 2017
by
piyag476
1.5k
points
gate2013-ee
controllers
stability
0
votes
0
answers
25
GATE Electrical 2013 | Question: 43
The following arrangement consists of an ideal transformer and an attenuator which attenuates by a factor of $0.8$. An ac voltage $V_{WX1}=100V$ is applied across $WX$ to get an open circuit voltage $Y_{YZ1} $ across $YZ$. Next, an ac voltage$V_{YZ2}=100V$ is applied ... , $125/100$ and $80/100$ $100/100$ and $80/100$ $100/100$ and $100/100$ $80/100$ and $80/100$
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in
Electrical Machines
Feb 12, 2017
by
piyag476
1.5k
points
gate2013-ee
turn-ratio
primary
secondary
0
votes
0
answers
26
GATE Electrical 2013 | Question: 38
In the circuit shown below, $Q_1$ has negligible collector-to-emitter saturation voltage and the diode drops negligible voltage across it under forward bias. If $V_{cc}$ is +$5$ $V$, $X$ and $Y$ are digital signals with $0$ $V$ as logic $0$ and $V_{cc}$ as logic $1$, then the Boolean expression for $Z$ is $XY$ $\overline{X}Y$ $X\overline{Y}$ $\overline{XY}$
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Electrical and Electronic Measurements
Feb 12, 2017
by
piyag476
1.5k
points
gate2013-ee
bjt
common-emitter
biasing
0
votes
0
answers
27
GATE Electrical 2013 | Question: 39
In the circuit shown below the op-amps are ideal. Then $V_{out}$ in Volts is $4$ $6$ $8$ $10$
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Analog and Digital Electronics
Feb 12, 2017
by
piyag476
1.5k
points
gate2013-ee
operational-amplifier
reverse-amplifier
0
votes
0
answers
28
GATE Electrical 2013 | Question: 41
The impulse response of a continuous time system is given by $h(t)=\delta (t-1)+\delta (t-3).$ The value of the step response at $t=2$ is $0$ $1$ $2$ $3$
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Signals and Systems
Feb 12, 2017
by
piyag476
1.5k
points
gate2013-ee
impulse-response
step-response
1
vote
0
answers
29
GATE Electrical 2013 | Question: 42
Two magnetically uncoupled inductive coils have $Q$ factors $q_1$ and $q_2$ at the chosen operating frequency. Their respective resistances are $R_1$ and $R_2$. When connected in series, their effective $Q$ factor at the same operating frequency is $q_1R_1+q_2R_2$ $q_1/R_1+q_2/R_2$ $\big(q_1R_1+q_2R_2\big)/\big(R_1+R_2\big)$ $q_1R_2+q_2R_2$
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Electromagnetic Fields
Feb 12, 2017
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piyag476
1.5k
points
gate2013-ee
coils
electromagnetism
0
votes
0
answers
30
GATE Electrical 2013 | Question: 45
A $4$ – pole induction motor, supplied by a slightly unbalanced three-phase $50 Hz$ source, is rotating at $1400\:rpm$. The electrical frequency in $Hz$ of the induced negative sequence current in the rotor is $100$ $98$ $52$ $48$
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in
Power Systems
Feb 12, 2017
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piyag476
1.5k
points
gate2013-ee
salient-poles
sequence-current
0
votes
0
answers
31
GATE Electrical 2013 | Question: 44
Thyristor $T$ in the figure below is initially off and is triggered with a single pulse of width $10$ $μs$. It is given that $L=\bigg(\dfrac{100}{\pi }\bigg)\mu H$ and $C=\bigg(\dfrac{100}{\pi }\bigg)\mu F$. Assuming latching and holding currents of the ... zero and the initial charge on $C$ is zero, $T$ conducts of $10\mu s$ $50\mu s$ $100\mu s$ $200\mu s$
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Analog and Digital Electronics
Feb 12, 2017
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piyag476
1.5k
points
gate2013-ee
gate-signal
converters
0
votes
0
answers
32
GATE Electrical 2013 | Question: 24
Given a vector field $\textbf{F}=y^2x \textbf{a}_x-yz \textbf{a}_y-x^2 \textbf{a}_z$ the line integral $\int \textbf{F} \cdot d \textbf{l}$ evaluated along a segment on the $x$-axis from $x=1$ to $x=2$ is $-2.33$ $0$ $2.33$ $7$
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in
Calculus
Feb 12, 2017
by
piyag476
1.5k
points
gate2013-ee
calculus
field-vector
integral
0
votes
0
answers
33
GATE Electrical 2013 | Question: 25
The equation$\begin{bmatrix} 2&-2 \\ 1& -1 \end{bmatrix}\begin{bmatrix} x_1\\ x_2 \end{bmatrix}=\begin{bmatrix} 0\\0 \end{bmatrix}$ has no solution only one solution $\begin{bmatrix} x1\\x2 \end{bmatrix}=\begin{bmatrix} 0\\0 \end{bmatrix}$ non-zero unique solution multiple solutions
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Linear Algebra
Feb 12, 2017
by
piyag476
1.5k
points
gate2013-ee
linear-algebra
matrices
system-of-linear-equations
0
votes
0
answers
34
GATE Electrical 2013 | Question: 23
Square roots of $-i$,where $i=\sqrt{-1}$, are $i,-i \\$ $\cos(-\dfrac{\pi }{4} )+i\sin(-\dfrac{\pi }{4})+\cos(\dfrac{3\pi }{4})+i\sin(\dfrac{3\pi }{4}) \\$ $\cos(\dfrac{\pi }{4} )+i\sin(\dfrac{3\pi }{4})+\cos(\dfrac{3\pi }{4})+i\sin(\dfrac{\pi }{4}) \\$ $\cos(\dfrac{3\pi }{4} )+i\sin(-\dfrac{3\pi }{4})+\cos(-\dfrac{3\pi }{4})+i\sin(\dfrac{3\pi }{4})$
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Complex Variables
Feb 12, 2017
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piyag476
1.5k
points
gate2013-ee
complex-variables
complex-number
trigonometry
0
votes
0
answers
35
GATE Electrical 2013 | Question: 34
A dielectric slab with $500$ mm $\times 500$ mm cross-section is $0.4\:m$ long. The slab is subjected to a uniform electric field of $\textbf{E}=6 \textbf{a}_x+8 \textbf{a}_y\: KV/mm$. The relative permittivity of the dielectric material is equal to $2$ ... The energy stored in the dielectric in Joules is $8.85 \times10^{-11}$ $8.85 \times 10^{-15}$ $88.5$ $885$
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Electromagnetic Fields
Feb 12, 2017
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piyag476
1.5k
points
gate2013-ee
coulombs-law
electromagnetism
0
votes
0
answers
36
GATE Electrical 2013 | Question: 33
For a power system network with $n$ nodes, $Z_{33}$ of its bus impedance matrix is $j0.5$ per unit. The voltage at node $3$ is $1.3\angle -10^{\circ}$ per unit. If a capacitor having reactance of $-j3.5$ ... $0.325\angle -100^{\circ}$ $0.325\angle 80^{\circ}$ $0.371\angle -100^{\circ}$ $0.433\angle 80^{\circ}$
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in
Power Systems
Feb 12, 2017
by
piyag476
1.5k
points
gate2013-ee
bus-impedance-matrix
source
0
votes
0
answers
37
GATE Electrical 2013 | Question: 31
A voltage $1000 \sin \omega t$ Volts is applied across $YZ$. Assuming ideal diodes, the voltage measured across $WX$ in Volts is $\sin \omega t$ $(\sin \omega t + \sin \omega t ) / 2$ $(\sin \omega t - \sin \omega t ) / 2$ $0$ for all $t$
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asked
in
Electric Circuits
Feb 12, 2017
by
piyag476
1.5k
points
gate2013-ee
closed-loop
diode
0
votes
0
answers
38
GATE Electrical 2013 | Question: 30
Three capacitors $C_1, C_2$, and $C_3$, whose values are $10\mu F, 5\mu F$, and $2\mu F$ respectively, have breakdown voltages of $10V$, $5V$, and $12V$ respectively. For the interconnection shown, the maximum safe voltage in Volts that can be applied ... capacitance across the terminals are respectively $2.8$and $36$ $7$ and $19$ $2.8$ and $32$ $7$ and $80$
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asked
in
Electric Circuits
Feb 12, 2017
by
piyag476
1.5k
points
gate2013-ee
equivalent-circuit
parallel-combination
0
votes
0
answers
39
GATE Electrical 2013 | Question: 29
In the circuit shown below, if the source voltage $V_S=100 \: \angle$ $53.13^{\circ}$ V then the Thevenin’s equivalent voltage in Volts as seen by the load resistance $R_L$ is $100\angle 90^{\circ}$ $800\angle 0^{\circ}$ $800\angle 90^{\circ}$ $100\angle 60^{\circ}$
piyag476
asked
in
Electric Circuits
Feb 12, 2017
by
piyag476
1.5k
points
gate2013-ee
thevinin-circuit
mesh-analysis
0
votes
1
answer
40
GATE Electrical 2013 | Question: 26
A strain gauge forms one arm of the bridge shown in the figure below and has a nominal resistance without any load as $R_s = 300$ . Other bridge resistances are $R_1 = R_2 = R_3 = 300$ . The maximum permissible current through the strain gauge is $20\:mA$. During ... $V_0$ in $mV$ is $56.02$ $40.83$ $29.85$ $10.02$
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in
Electric Circuits
Feb 12, 2017
by
piyag476
1.5k
points
gate2013-ee
bridge-circuit
variable-resistor
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