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1001
GATE Electrical 2015 Set 1 | Question: 1
A random variable $X$ has probability density function $f(x)$ as given below: $ f(x)= \begin{cases} a+bx & \text{ for } 0 < x < 1 \\ 0 & \text{otherwise} \end{cases}$ If the expected value $E[x] = 2/3$, then $Pr[x < 0.5]$ is __________.
A random variable $X$ has probability density function $f(x)$ as given below:$ f(x)= \begin{cases} a+bx & \text{ for } 0 < x < 1 \\ 0 & \text{otherwise} \end{cases}$If...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Probability & Statistics
gate2015-ee-1
probability-and-statistics
probability
random-variable
probability-density-function
expectation
numerical-answers
+
–
0
votes
0
answers
1002
GATE Electrical 2015 Set 1 | Question: 2
If a continuous function $f(x)$ does not have a root in the interval $[a, b]$, then which one of the following statements is TRUE? $f(a) . f(b)=0$ $f(a) . f(b) < 0$ $f(a) . f(b) > 0$ $f(a) / f(b) \leq 0$
If a continuous function $f(x)$ does not have a root in the interval $[a, b]$, then which one of the following statements is TRUE?$f(a) . f(b)=0$$f(a) . f(b) < 0$$f(a) . ...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Calculus
gate2015-ee-1
calculus
continuity
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–
0
votes
0
answers
1003
GATE Electrical 2015 Set 1 | Question: 3
If the sum of the diagonal elements of a $2 \times 2$ matrix is $-6$, then the maximum possible value of determinant of the matrix is ________
If the sum of the diagonal elements of a $2 \times 2$ matrix is $-6$, then the maximum possible value of determinant of the matrix is ________
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Calculus
gate2015-ee-1
linear-algebra
matrices
determinant
numerical-answers
+
–
0
votes
0
answers
1004
GATE Electrical 2015 Set 1 | Question: 4
Consider a function $\overrightarrow{f}=\dfrac{1}{r^{2}} \hat{r}$ where $r$ is the distance from the origin and $\hat{r}$ is the unit vector in the radial direction. The divergence of this function over a sphere of radius $R$, which includes the origin, is $0$ $2 \pi$ $4 \pi$ $R \pi$
Consider a function $\overrightarrow{f}=\dfrac{1}{r^{2}} \hat{r}$ where $r$ is the distance from the origin and $\hat{r}$ is the unit vector in the radial direction. The ...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Electromagnetic Fields
gate2015-ee-1
unit-vector
radial-direction
divergence
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–
0
votes
0
answers
1005
GATE Electrical 2015 Set 1 | Question: 5
When the Wheatstone bridge shown in the figure is used to find the value of resistor $R_{X}$, the galvanometer $G$ indicates zero current when $R_{1}=50\Omega, R_{2}=65\Omega$ and $R_{3}=100\Omega$. If $R_{3}$ is known with $ \pm 5 \%$ tolerance on its nominal ... $R_{X}$ in Ohms? $[123.50, 136.50]$ $[125.89, 134.12]$ $[117.00, 143.00]$ $[120.25, 139.75]$
When the Wheatstone bridge shown in the figure is used to find the value of resistor $R_{X}$, the galvanometer $G$ indicates zero current when $R_{1}=50\Omega, R_{2}=65\O...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Electric Circuits
gate2015-ee-1
bridge-circuit
galvanometer
tolerance
+
–
0
votes
0
answers
1006
GATE Electrical 2015 Set 1 | Question: 6
A $(0-50 A)$ moving coil ammeter has a voltage drop of $0.1 V$ across its terminals at full scale deflection. The external shunt resistance (in milliohms) needed to extend its range to $(0 – 500 A)$ is _______.
A $(0-50 A)$ moving coil ammeter has a voltage drop of $0.1 V$ across its terminals at full scale deflection. The external shunt resistance (in milliohms) needed to exten...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Electric Circuits
gate2015-ee-1
current-measurement
ammeter
numerical-answers
+
–
0
votes
0
answers
1007
GATE Electrical 2015 Set 1 | GA Question: 2
Which of the following options is the closest in meaning to the sentence below? She enjoyed herself immensely at the party. She had a terrible time at the party. She had a horrible time at the party. She had a terrific time at the party. She had a terrifying time at the party.
Which of the following options is the closest in meaning to the sentence below?She enjoyed herself immensely at the party.She had a terrible time at the party.She had a h...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Verbal Aptitude
gate2015-ee-1
verbal-ability
english-grammar
+
–
0
votes
0
answers
1008
GATE Electrical 2015 Set 1 | GA Question: 3
Which one of the following combinations is incorrect? Acquiescence - Submission Wheedle - Roundabout Flippancy - Lightness Profligate - Extravagant
Which one of the following combinations is incorrect?Acquiescence - SubmissionWheedle - RoundaboutFlippancy - LightnessProfligate - Extravagant
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Verbal Aptitude
gate2015-ee-1
verbal-ability
word-pairs
+
–
0
votes
0
answers
1009
GATE Electrical 2015 Set 1 | GA Question: 4
Based on the given statements, select the most appropriate option to solve the given question. If two floors in certain building are $9$ feet apart, how many steps are there in a set of stairs that extends from the first ... statement together are sufficient, but neither statement alone is sufficient. Statement $I$ and $II$ together are not sufficient.
Based on the given statements, select the most appropriate option to solve the given question.If two floors in certain building are $9$ feet apart, how many steps are the...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Analytical Aptitude
gate2015-ee-1
analytical-aptitude
logical-reasoning
statements-follow
+
–
0
votes
0
answers
1010
GATE Electrical 2015 Set 1 | GA Question: 5
Given set $A=\left\{ 2, 3, 4, 5\right\}$ and set $B=\left\{ 11, 12, 13, 14, 15\right\}$, two numbers are randomly selected, one from each set. What is the probability that the sum of two numbers equal $16$? $0.20$ $0.25$ $0.30$ $0.33$
Given set $A=\left\{ 2, 3, 4, 5\right\}$ and set $B=\left\{ 11, 12, 13, 14, 15\right\}$, two numbers are randomly selected, one from each set. What is the probability tha...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Quantitative Aptitude
gate2015-ee-1
numerical-ability
probability
+
–
0
votes
0
answers
1011
GATE Electrical 2015 Set 1 | GA Question: 6
Select the alternative meaning of the underlined part of the sentence. The chain snatchers took to their heels when the police party arrived. Took shelter in a thick jungle. Open indiscriminate fire. Took to flight. Unconditionally surrendered.
Select the alternative meaning of the underlined part of the sentence.The chain snatchers took to their heels when the police party arrived.Took shelter in a thick jungle...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Verbal Aptitude
gate2015-ee-1
verbal-ability
vocabulary
+
–
0
votes
0
answers
1012
GATE Electrical 2015 Set 1 | GA Question: 7
The given statement is followed by some courses of action. Assuming the statement to be true, decide the correct option. Statement: There has been a significant drop in the water level in the lakes supplying water to the city. Course of action: The ... and $II$ follow. Statement $I$ and $III$ follow. Statement $II$ and $III$ follow. All statements follow.
The given statement is followed by some courses of action. Assuming the statement to be true, decide the correct option.Statement:There has been a significant drop in the...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Analytical Aptitude
gate2015-ee-1
analytical-aptitude
logical-reasoning
statements-follow
+
–
0
votes
0
answers
1013
GATE Electrical 2015 Set 1 | GA Question: 8
The pie-chart below has the breakup of the number of students from different departments in an engineering college for the year $2012$. The proportion of male to female students in each department is $5:4$ ... is the difference between the numbers of female students in the Civil department and the female students in the Mechanical department?
The pie-chart below has the breakup of the number of students from different departments in an engineering college for the year $2012$. The proportion of male to female s...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Quantitative Aptitude
gate2015-ee-1
numerical-ability
data-interpretation
pie-chart
numerical-answers
+
–
0
votes
0
answers
1014
GATE Electrical 2015 Set 1 | GA Question: 9
The probabilities that a student passes in Mathematics, Physics, and Chemistry are $m, p,$ and $c$ respectively. Of these subjects, the student has $75\%$ chance of passing in at least one, a $50\%$ ... $II$ is true. Relations $II$ and $III$ are true. Relations $I$ and $III$ are true.
The probabilities that a student passes in Mathematics, Physics, and Chemistry are $m, p,$ and $c$ respectively. Of these subjects, the student has $75\%$ chance of passi...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Quantitative Aptitude
gate2015-ee-1
numerical-ability
probability
+
–
0
votes
0
answers
1015
GATE Electrical 2015 Set 1 | GA Question: 10
The number of students in a class who have answered correctly, wrongly, or not attempted each question in an exam, are listed in the table below. The marks for each question are also listed. There is no negative or partial marking. ... the average of the marks obtained by the class in the examination? $2.290$ $2.970$ $6.795$ $8.795$
The number of students in a class who have answered correctly, wrongly, or not attempted each question in an exam, are listed in the table below. The marks for each quest...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Quantitative Aptitude
gate2015-ee-1
numerical-ability
averages
+
–
0
votes
0
answers
1016
GATE Electrical 2015 Set 1 | GA Question: 1
Didn't you buy _________when you went shopping? Any paper Much paper No paper A few paper
Didn't you buy _________when you went shopping?Any paperMuch paperNo paperA few paper
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Verbal Aptitude
gate2015-ee-1
verbal-ability
english-grammar
+
–
0
votes
0
answers
1017
GATE Electrical 2016 Set 2 | Question: 52
The gain at the breakaway point of the root locus of a unity feedback system with open loop transfer function $G(s)=\frac{Ks}{(s-1)(s-4)}$ is $1$ $2$ $5$ $9$
The gain at the breakaway point of the root locus of a unity feedback system with open loop transfer function $G(s)=\frac{Ks}{(s-1)(s-4)}$ is$1$$2$ $5$$9$
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Control Systems
gate2016-ee-2
gain
breakaway-point
unity-feedback-system
+
–
0
votes
0
answers
1018
GATE Electrical 2016 Set 2 | Question: 53
Two identical unloaded generators are connected in parallel as shown in the figure. Both the generators are having positive, negative and zero sequence impedances of $j0.4$ p.u., $j0.3$ p.u. and $j0.15$ p.u., respectively. If the pre-fault ... a line-to-ground $(L-G)$ fault at the terminals of the generators, the fault current, in p.u., is ___________.
Two identical unloaded generators are connected in parallel as shown in the figure. Both the generators are having positive, negative and zero sequence impedances of $j0....
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Power Systems
gate2016-ee-2
sequence-impedences
pre-fault-voltage
numerical-answers
+
–
0
votes
0
answers
1019
GATE Electrical 2016 Set 2 | Question: 54
An energy meter, having meter constant of $1200$ revolutions/kWh, makes $20$ revolutions in $30$ seconds for a constant load. The load, in $kW$, is __________.
An energy meter, having meter constant of $1200$ revolutions/kWh, makes $20$ revolutions in $30$ seconds for a constant load. The load, in $kW$, is __________.
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Power Systems
gate2016-ee-2
energy-meter
revolutions
constant-load
numerical-answers
+
–
0
votes
0
answers
1020
GATE Electrical 2016 Set 2 | Question: 55
A rotating conductor of $1$ m length is placed in a radially outward (about the $z$-axis) magnetic flux density $(B)$ of $1$ Tesla as shown in figure below. Conductor is parallel to and at $1$ m distance from the $z$-axis. The speed of the conductor in r.p.m. required to induce a voltage of $1$ V across it, should be __________.
A rotating conductor of $1$ m length is placed in a radially outward (about the $z$-axis) magnetic flux density $(B)$ of $1$ Tesla as shown in figure below. Conductor is ...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Electromagnetic Fields
gate2016-ee-2
magnetic-flux-density
conductor
numerical-answers
+
–
0
votes
0
answers
1021
GATE Electrical 2016 Set 2 | Question: 48
A single-phase bi-directional voltage source converter $(VSC)$ is shown in the figure below. All devices are ideal. It is used to charge a battery at $400$ V with power of $5$ kW from a source $V_{s} = 220$ V (rms), $50$ Hz sinusoidal $AC$ ... $AC$ mains voltage $(V_{s})$ and fundamental $AC$ rms $VSC$ voltage $(V_{C1})$, in degree, is __________.
A single-phase bi-directional voltage source converter $(VSC)$ is shown in the figure below. All devices are ideal. It is used to charge a battery at $400$ V with power o...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Analog and Digital Electronics
gate2016-ee-2
voltage-source-converter
phase-shift
numerical-answers
+
–
0
votes
0
answers
1022
GATE Electrical 2016 Set 2 | Question: 49
Consider a linear time invariant system $\dot{x}=Ax$ with initial condition $x(0)$ at $t=0$. Suppose $\alpha$ and $\beta$ are eigenvectors of $(2 \times 2)$ matrix $A$ corresponding to distinct eigenvalues $\lambda_{1}$ and $\lambda_{2}$ respectively. Then the ... $e^{\lambda_{2}t}\alpha$ $e^{\lambda_{1}t}\alpha+e^{\lambda_{2}t}\beta$
Consider a linear time invariant system $\dot{x}=Ax$ with initial condition $x(0)$ at $t=0$. Suppose $\alpha$ and $\beta$ are eigenvectors of $(2 \times 2)$ matrix $A$ co...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Linear Algebra
gate2016-ee-2
linear-algebra
eigen-values
eigen-vectors
+
–
0
votes
0
answers
1023
GATE Electrical 2016 Set 2 | Question: 50
A second-order real system has the following properties: a) the damping ratio $\zeta=0.5$ and undamped natural frequency $\omega _{n}=10$ rad/s b) the steady state value of the output, to a unit step input, is $1.02$ ... $\frac{102}{s^{2}+10s+100}$ $\frac{100}{s^{2}+10s+100}$ $\frac{102}{s^{2}+5s+100}$
A second-order real system has the following properties:a) the damping ratio $\zeta=0.5$ and undamped natural frequency $\omega _{n}=10$ rad/sb) the steady state value of...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Control Systems
gate2016-ee-2
damping-ratio
natural-frequency
+
–
0
votes
0
answers
1024
GATE Electrical 2016 Set 2 | Question: 51
Three single-phase transformers are connected to form a delta-star three-phase transformer of $110$ kV/ $11$ kV. The transformer supplies at $11$ kV a load of $8$ MW at $0.8$ p.f. lagging to a nearby plant. Neglect the transformer losses. The ratio of phase currents in delta side to star side is $1 : 10\sqrt{3}$ $10\sqrt{3} : 1$ $1 : 10$ $\sqrt{3} : 10$
Three single-phase transformers are connected to form a delta-star three-phase transformer of $110$ kV/ $11$ kV. The transformer supplies at $11$ kV a load of $8$ MW at $...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Power Systems
gate2016-ee-2
delta-star-connections
transformer-losses
+
–
0
votes
0
answers
1025
GATE Electrical 2016 Set 2 | Question: 44
A single-phase, $2$ kVA, $100/200$ V transformer is reconnected as an auto-transformer such that its $kVA$ rating is maximum. The new rating, in $kVA$, is ______.
A single-phase, $2$ kVA, $100/200$ V transformer is reconnected as an auto-transformer such that its $kVA$ rating is maximum. The new rating, in $kVA$, is ______.
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Power Systems
gate2016-ee-2
auto-transformer
rating
numerical-answers
+
–
0
votes
0
answers
1026
GATE Electrical 2016 Set 2 | Question: 45
A full-bridge converter supplying an $RLE$ load is shown in figure. The firing angle of the bridge converter is $120$°. The supply voltage $v_{m}(t) =200\pi \sin (100\pi t) V, R=20\Omega, E=800 V$. The inductor $L$ is large ... output current $I_{L}$ a smooth dc current. Switches are lossless. The real power fed back to the source, in $kW$, is _________.
A full-bridge converter supplying an $RLE$ load is shown in figure. The firing angle of the bridge converter is $120$°. The supply voltage $v_{m}(t) =200\pi \sin (100\pi...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Analog and Digital Electronics
gate2016-ee-2
full-bridge-converter
firing-angle
numerical-answers
+
–
0
votes
0
answers
1027
GATE Electrical 2016 Set 2 | Question: 46
A three-phase Voltage Source Inverter $(VSI)$ as shown in the figure is feeding a delta connected resistive load of $30 \Omega$/phase. If it is fed from a $600$ V battery, with $180$° conduction of solid-state devices, the power consumed by the load, in kW, is __________.
A three-phase Voltage Source Inverter $(VSI)$ as shown in the figure is feeding a delta connected resistive load of $30 \Omega$/phase. If it is fed from a $600$ V battery...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Analog and Digital Electronics
gate2016-ee-2
voltage-source-inverter
solid-state-devices
numerical-answers
+
–
0
votes
0
answers
1028
GATE Electrical 2016 Set 2 | Question: 47
A $DC-DC$ boost converter, as shown in the figure below, is used to boost $360$ V to $400$ V, at a power of $4$ kW. All devices are ideal. Considering continuous inductor current, the rms current in the solid state switch $(S)$, in ampere, is _________.
A $DC-DC$ boost converter, as shown in the figure below, is used to boost $360$ V to $400$ V, at a power of $4$ kW. All devices are ideal. Considering continuous inductor...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Analog and Digital Electronics
gate2016-ee-2
boost-converter
inductor-current
numerical-answers
+
–
0
votes
0
answers
1029
GATE Electrical 2016 Set 2 | Question: 40
At no load condition, a $3$-phase, $50$ Hz, lossless power transmission line has sending-end and receiving-end voltages of $400$ kV and $420$ kV respectively. Assuming the velocity of traveling wave to be the velocity of light, the length of the line, in km, is ____________.
At no load condition, a $3$-phase, $50$ Hz, lossless power transmission line has sending-end and receiving-end voltages of $400$ kV and $420$ kV respectively. Assuming th...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Power Systems
gate2016-ee-2
lossless-power-transmission-line
traveling-wave
numerical-answers
+
–
0
votes
0
answers
1030
GATE Electrical 2016 Set 2 | Question: 41
The power consumption of an industry is $500$ kVA, at $0.8$ p.f. lagging. A synchronous motor is added to raise the power factor of the industry to unity. If the power intake of the motor is $100$ kW, the p.f. of the motor is ___________.
The power consumption of an industry is $500$ kVA, at $0.8$ p.f. lagging. A synchronous motor is added to raise the power factor of the industry to unity. If the power in...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Power Systems
gate2016-ee-2
synchronous-motor
power-factor
power-intake
numerical-answers
+
–
0
votes
1
answer
1031
GATE Electrical 2016 Set 2 | Question: 42
The flux linkage $(\lambda)$ and current $(i)$ relation for an electromagnetic system is $\lambda=(\sqrt{i})/g$. When $i = 2A$ and $g$ (air-gap length) = $10$ cm, the magnitude of mechanical force on the moving part, in $N$, is __________.
The flux linkage $(\lambda)$ and current $(i)$ relation for an electromagnetic system is $\lambda=(\sqrt{i})/g$. When $i = 2A$ and $g$ (air-gap length) = $10$ cm, the mag...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Electromagnetic Fields
gate2016-ee-2
flux
linkage
electromagnetic-system
numerical-answers
+
–
0
votes
0
answers
1032
GATE Electrical 2016 Set 2 | Question: 43
The starting line current of a $415$ V, $3$-phase, delta connected induction motor is $120$ A, when the rated voltage is applied to its stator winding. The starting line current at a reduced voltage of $110$ V, in ampere, is __________.
The starting line current of a $415$ V, $3$-phase, delta connected induction motor is $120$ A, when the rated voltage is applied to its stator winding. The starting line ...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Electrical Machines
gate2016-ee-2
line-current
induction-motor
numerical-answers
+
–
0
votes
0
answers
1033
GATE Electrical 2016 Set 2 | Question: 36
In the balanced $3$-phase, $50$ Hz, circuit shown below, the value of inductance $(L)$ is $10$ mH. The value of the capacitance $(C)$ for which all the line currents are zero, in millifarads, is ___________.
In the balanced $3$-phase, $50$ Hz, circuit shown below, the value of inductance $(L)$ is $10$ mH. The value of the capacitance $(C)$ for which all the line currents are ...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Power Systems
gate2016-ee-2
balanced-system
line
currents
numerical-answers
+
–
0
votes
0
answers
1034
GATE Electrical 2016 Set 2 | Question: 37
In the circuit shown below, the initial capacitor voltage is $4 V$. Switch $S_{1}$ is closed at $t=0$. The charge (in $\mu C$) lost by the capacitor from $t=25 \mu s$ to $t=100 \mu s$ is _________.
In the circuit shown below, the initial capacitor voltage is $4 V$. Switch $S_{1}$ is closed at $t=0$. The charge (in $\mu C$) lost by the capacitor from $t=25 \mu s$ to ...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Electric Circuits
gate2016-ee-2
capacitor-voltage
series-circuit
numerical-answers
+
–
1
votes
0
answers
1035
GATE Electrical 2016 Set 2 | Question: 38
The single line diagram of a balanced power system is shown in the figure. The voltage magnitude at the generator internal bus is constant and $1.0$ p.u. The p.u. reactances of different components in the system are ... transferred during the pre-fault condition to the maximum real power that can be transferred under the faulted condition is _________.
The single line diagram of a balanced power system is shown in the figure. The voltage magnitude at the generator internal bus is constant and $1.0$ p.u. The p.u. reactan...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Power Systems
gate2016-ee-2
single-line-diagram
three-phase-fault
pre-fault-condition
numerical-answers
+
–
0
votes
0
answers
1036
GATE Electrical 2016 Set 2 | Question: 39
The open loop transfer function of a unity feedback control system is given by $G(s)=\frac{k(s+1)}{s(1+Ts)(1+2S)'}, K > 0, T > 0.$ The closed loop system will be stable if $0 < T < \frac{4(K+1)}{K-1}$ $0 < K < \frac{4(T+2)}{T-2}$ $0 < K < \frac{T+2}{T-2}$ $0 < T < \frac{8(k+1)}{K-1}$
The open loop transfer function of a unity feedback control system is given by$G(s)=\frac{k(s+1)}{s(1+Ts)(1+2S)'}, K 0, T 0.$The closed loop system will be stable if$0 ...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Control Systems
gate2016-ee-2
transfer-function
unity-feedback-control-system
+
–
0
votes
0
answers
1037
GATE Electrical 2016 Set 2 | Question: 33
Let the probability density function of a random variable, $X$, be given as: $f_{x}(x)=\frac{3}{2}e^{-3x}u(x)+ae^{4x}u(-x)$ where u(x) is the unit step function. Then the value of 'a' and prob $\left\{X \leq 0\right\}$, respectively are $2, \frac{1}{2}$ $4, \frac{1}{2}$ $2, \frac{1}{4}$ $4, \frac{1}{4}$
Let the probability density function of a random variable, $X$, be given as:$f_{x}(x)=\frac{3}{2}e^{-3x}u(x)+ae^{4x}u(-x)$where u(x) is the unit step function.Then the va...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Probability & Statistics
gate2016-ee-2
probability-and-statistics
probability
random-variable
probability-density-function
+
–
0
votes
0
answers
1038
GATE Electrical 2016 Set 2 | Question: 34
The driving point input impedance seen from the source $V_{s}$ of the circuit shown below, in $\Omega$, is ______.
The driving point input impedance seen from the source $V_{s}$ of the circuit shown below, in $\Omega$, is ______.
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Electric Circuits
gate2016-ee-2
mesh-analysis
nodal-analysis
kvl
kcl
numerical-answers
+
–
0
votes
0
answers
1039
GATE Electrical 2016 Set 2 | Question: 35
The $z$-parameters of the two port network shown in the figure are $z_{11}=40\Omega, z_{12}=60\Omega, z_{21}=80\Omega$ and $z_{22}=100\Omega$. The average power delivered to $R_{L}=20\Omega$, in watts, is ________.
The $z$-parameters of the two port network shown in the figure are $z_{11}=40\Omega, z_{12}=60\Omega, z_{21}=80\Omega$ and $z_{22}=100\Omega$. The average power delivered...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Power Systems
gate2016-ee-2
average-power
network-analysis
numerical-answers
+
–
0
votes
0
answers
1040
GATE Electrical 2016 Set 2 | Question: 29
The value of the integral $2\int_{-\infty}^{\infty} (\frac{\sin2\pi t}{\pi t}) \text{d}t$ is equal to $0$ $0.5$ $1$ $2$
The value of the integral $2\int_{-\infty}^{\infty} (\frac{\sin2\pi t}{\pi t}) \text{d}t$ is equal to$0$$0.5$ $1$$2$
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Calculus
gate2016-ee-2
calculus
definite-integral
+
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