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921
GATE Electrical 2015 Set 1 | Question: 26
The maximum value of "a" such that the matrix $\begin{pmatrix} -3&0&-2 \\ 1&-1&0 \\ 0&a&-2 \end{pmatrix}$ has three linearly independent real eigenvectors is $\dfrac{2}{3\sqrt{3}} \\$ $\dfrac{1}{3\sqrt{3}} \\$ $\dfrac{1+2\sqrt{3}}{3\sqrt{3}} \\$ $\dfrac{1+\sqrt{3}}{3\sqrt{3}}$
The maximum value of "a" such that the matrix $\begin{pmatrix} -3&0&-2 \\ 1&-1&0 \\ 0&a&-2 \end{pmatrix}$ has three linearly independent real eigenvectors is$\dfrac{2}{...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Linear Algebra
gate2015-ee-1
linear-algebra
matrices
eigen-values
eigen-vectors
+
–
0
votes
0
answers
922
GATE Electrical 2015 Set 1 | Question: 27
A solution of the ordinary differential equation $\dfrac{d^{2}y}{dt^{2}}+5\dfrac{dy}{dt}+6y=0$ is such that $y(0) = 2$ and $y(1)= -\dfrac{1-3e}{e^{3}}$. The value of $\dfrac{dy}{dt}(0)$ is _______.
A solution of the ordinary differential equation $\dfrac{d^{2}y}{dt^{2}}+5\dfrac{dy}{dt}+6y=0$ is such that $y(0) = 2$ and $y(1)= -\dfrac{1-3e}{e^{3}}$. The value of $\df...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Differential Equations
gate2015-ee-1
differential-equations
ordinary-differential-equation
numerical-answers
+
–
0
votes
0
answers
923
GATE Electrical 2015 Set 1 | Question: 28
The signum function is given by $sgn(x)= \begin{cases} \dfrac{x}{ \mid x \mid }; x \neq 0& \\ 0;x=0& \end{cases}$ The Fourier series expansion of $sgn (\cos (t) )$ has Only sine terms with all harmonics. Only cosine terms with all harmonics. Only sine terms with even numbered harmonics. Only cosine terms with odd numbered harmonics.
The signum function is given by $sgn(x)= \begin{cases} \dfrac{x}{ \mid x \mid }; x \neq 0& \\ 0;x=0& \end{cases}$ The Fourier series expansion of $sgn (\cos (t) )$ hasO...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Signals and Systems
gate2015-ee-1
signum-function
fourier-series-expansion
+
–
0
votes
0
answers
924
GATE Electrical 2015 Set 1 | Question: 30
An unbalanced $DC$ Wheatstone bridge is shown in the figure. At what value of $P$ will the magnitude of $V_{0}$ be maximum? $\sqrt{(1+x)}$ $(1+x)$ $1/\sqrt{(1+x)}$ $\sqrt{(1-x)}$
An unbalanced $DC$ Wheatstone bridge is shown in the figure. At what value of $P$ will the magnitude of $V_{0}$ be maximum?$\sqrt{(1+x)}$$(1+x)$$1/\sqrt{(1+x)}$$\sqrt{(1-...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Electric Circuits
gate2015-ee-1
wheatstone-bridge
voltage-divider
+
–
0
votes
0
answers
925
GATE Electrical 2015 Set 1 | Question: 7
Of the four characteristics given below, which are the major requirements for an instrumentation amplifier? P. High common mode rejection ratio Q. High input impedance R. High linearity S. High output impedance P, Q and R only P and R only P, Q and S only Q, R and S only
Of the four characteristics given below, which are the major requirements for an instrumentation amplifier?P. High common mode rejection ratioQ. High input impedanceR. Hi...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Electric Circuits
gate2015-ee-1
amplifier
bjts
+
–
0
votes
0
answers
926
GATE Electrical 2015 Set 1 | Question: 8
In the following chopper, the duty ratio of switch $S$ is $0.4$. If the inductor and capacitor are sufficiently large to ensure continuous inductor current and ripple free capacitor voltage, the charging current (in Ampere) of the $5 V$ battery, under steady-state, is _______.
In the following chopper, the duty ratio of switch $S$ is $0.4$. If the inductor and capacitor are sufficiently large to ensure continuous inductor current and ripple fre...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Analog and Digital Electronics
gate2015-ee-1
chopper
steady-state
numerical-answers
+
–
0
votes
0
answers
927
GATE Electrical 2015 Set 1 | Question: 9
A moving average function is given by $y(t) = \dfrac{1}{T} \displaystyle \int_{t-T}^{t} u(\tau ) d \tau$. If the input $u$ is a sinusoidal signal of frequency $\dfrac{1}{2T}Hz$ then in steady state, the output $y$ will lag $u$ (in degree) by __________ .
A moving average function is given by $y(t) = \dfrac{1}{T} \displaystyle \int_{t-T}^{t} u(\tau ) d \tau$. If the input $u$ is a sinusoidal signal of frequency $\dfrac{1}{...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Signals and Systems
gate2015-ee-1
steady-state
sinusoidal-signal
numerical-answers
+
–
0
votes
0
answers
928
GATE Electrical 2015 Set 1 | Question: 10
The impulse response $g(t)$ of a system, $G$, is as shown in Figure $(a)$. What is the maximum value attained by the impulse response of two cascaded blocks of $G$ as shown in Figure $(b)$? $\dfrac{2}{3} \\$ $\dfrac{3}{4} \\$ $\dfrac{4}{5} \\$ $1$
The impulse response $g(t)$ of a system, $G$, is as shown in Figure $(a)$. What is the maximum value attained by the impulse response of two cascaded blocks of $G$ as sho...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Control Systems
gate2015-ee-1
impulse-response
cascaded-blocks
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–
0
votes
0
answers
929
GATE Electrical 2015 Set 1 | Question: 11
Consider a one-turn rectangular loop of wire placed in a uniform magnetic field as shown in the figure. The plane of the loop is perpendicular to the field lines. The resistance of the loop is $0.4\Omega$, and its inductance is negligible. The ... radian/second. The power absorbed (in Watt) by the loop from the magnetic field is _________.
Consider a one-turn rectangular loop of wire placed in a uniform magnetic field as shown in the figure. The plane of the loop is perpendicular to the field lines. The res...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Electromagnetic Fields
gate2015-ee-1
magnetic-flux-density
field-lines
numerical-answers
+
–
0
votes
0
answers
930
GATE Electrical 2015 Set 1 | Question: 12
A steady current $I$ is flowing in the $-x$ direction through each of two infinitely long wires at $y = \pm \dfrac{L}{2}$ as shown in the figure. The permeability of the medium is $\mu_{0}$. The $\overrightarrow{B}$-field at $(0,L,0)$ ... $+\dfrac{4\mu _{0}I}{3\Pi L} \hat{Z} \\$ $0 \\$ $-\dfrac{3\mu _{0}I}{4\Pi L} \hat{Z}$
A steady current $I$ is flowing in the $-x$ direction through each of two infinitely long wires at $y = \pm \dfrac{L}{2}$ as shown in the figure. The permeability of the ...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Power Systems
gate2015-ee-1
permeability
steady-current
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–
0
votes
0
answers
931
GATE Electrical 2015 Set 1 | Question: 13
Consider the circuit shown in the figure. In this circuit $R=1 k\Omega$, and $C=1 \mu F$. The input voltage is sinusoidal with a frequency of $50$ Hz, represented as a phasor with magnitude $V_{i}$ and phase angle $0$ radian as shown in the figure. The output ... to the phase angle of the input voltage? $0 \\$ $\pi \\$ $\dfrac{\pi}{2} \\$ $-\dfrac{\pi}{2}$
Consider the circuit shown in the figure. In this circuit $R=1 k\Omega$, and $C=1 \mu F$. The input voltage is sinusoidal with a frequency of $50$ Hz, represented as a ph...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Control Systems
gate2015-ee-1
operational-amplifier
feedback-system
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–
0
votes
0
answers
932
GATE Electrical 2015 Set 1 | Question: 14
In the given circuit, the silicon transistor has $\beta = 75$ and a collector voltage $V_{C} = 9V$. Then the ratio of $R_{B}$ and $R_{C}$ is _________.
In the given circuit, the silicon transistor has $\beta = 75$ and a collector voltage $V_{C} = 9V$. Then the ratio of $R_{B}$ and $R_{C}$ is _________.
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Analog and Digital Electronics
gate2015-ee-1
silicon-transistor
active-mode
numerical-answers
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–
1
votes
0
answers
933
GATE Electrical 2015 Set 1 | Question: 15
In the $4 \times 1$ multiplexer, the output $F$ is given by $F = A \oplus B$. Find the required input $'I_{3}, I_{2}, I_{1}, I_{0}'$. $1010$ $0110$ $1000$ $1110$
In the $4 \times 1$ multiplexer, the output $F$ is given by $F = A \oplus B$. Find the required input $'I_{3}, I_{2}, I_{1}, I_{0}'$.$1010$$0110$$1000$$1110$
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Analog and Digital Electronics
gate2015-ee-1
multiplexer
boolean-algebra
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–
0
votes
0
answers
934
GATE Electrical 2015 Set 1 | Question: 16
Consider a HVDC link which uses thyristor based line-commutated converters as shown in the figure. For a power flow of $750$ MW from System $1$ to System $2$ ... $V_{1} = −500 \text{ kV} , V_{2} = −485 \text{ kV} $ and $I = −1.5 \text{ kA}$
Consider a HVDC link which uses thyristor based line-commutated converters as shown in the figure. For a power flow of $750$ MW from System $1$ to System $2$, the voltage...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Power Systems
gate2015-ee-1
hvdc-lines
power-flow-analysis
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–
0
votes
0
answers
935
GATE Electrical 2015 Set 1 | Question: 17
Base load power plants are P: wind farms. Q: run-of-river plants. R: nuclear power plants. S: diesel power plants. P, Q and S only P, R and S only P, Q and R only Q and R only
Base load power plants areP: wind farms.Q: run-of-river plants.R: nuclear power plants.S: diesel power plants.P, Q and S onlyP, R and S onlyP, Q and R onlyQ and R only
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Power Systems
gate2015-ee-1
power-plants
power-generation
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–
0
votes
0
answers
936
GATE Electrical 2015 Set 1 | Question: 18
The voltages developed across the $3 \Omega$ and $2 \Omega$ resistors shown in the figure are $6 V$ and $2 V$ respectively, with the polarity as marked. What is the power (in Watt) delivered by the $5 V$ voltage source? $5$ $7$ $10$ $14$
The voltages developed across the $3 \Omega$ and $2 \Omega$ resistors shown in the figure are $6 V$ and $2 V$ respectively, with the polarity as marked. What is the power...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Electric Circuits
gate2015-ee-1
voltage-source
polarity
+
–
0
votes
0
answers
937
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
938
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
939
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
940
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
941
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
942
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
943
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
944
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
945
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
946
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
947
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
948
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
949
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
950
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
951
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
952
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
953
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
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–
0
votes
0
answers
954
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
955
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
956
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
957
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
958
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
959
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
960
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
+
–
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