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1041
GATE Electrical 2016 Set 1 | Question: 44
The switches $T1$ and $T2$ in Figure (a) are switched in a complementary fashion with sinusoidal pulse width modulation technique. The modulating voltage $v_{m}(t)=0.8\sin (200\pi t) V$ and the triangular carrier voltage $(v_{c})$ are as shown in ... $5 kHz$. The peak value of the $100 Hz$ component of the load current $(i_{L})$, in ampere, is ________ .
The switches $T1$ and $T2$ in Figure (a) are switched in a complementary fashion with sinusoidal pulse width modulation technique. The modulating voltage $v_{m}(t)=0.8\si...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Electric Circuits
gate2016-ee-1
pulse-width-modulation
carrier-waves
modulating-techniques
numerical-answers
+
–
0
votes
0
answers
1042
GATE Electrical 2016 Set 1 | Question: 45
The voltage $(v_{s})$ across and the current $(i_{s})$ through a semiconductor switch during a turn-ON transition are shown in figure. The energy dissipated during the turn-ON transition, in $mJ$, is _______.
The voltage $(v_{s})$ across and the current $(i_{s})$ through a semiconductor switch during a turn-ON transition are shown in figure. The energy dissipated during the tu...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Electric Circuits
gate2016-ee-1
semi-conductor-devices
bipolar-junction
transistors
turn-on-characteristics-of-transistor
numerical-answers
+
–
0
votes
0
answers
1043
GATE Electrical 2016 Set 1 | Question: 46
A single-phase $400 V, 50 Hz$ transformer has an iron loss of $5000 W$ at the rated condition. When operated at $200 V, 25 Hz$, the iron loss is $2000 W$. When operated at $416 V, 52 Hz$, the value of the hysteresis loss divided by the eddy current loss is _______.
A single-phase $400 V, 50 Hz$ transformer has an iron loss of $5000 W$ at the rated condition. When operated at $200 V, 25 Hz$, the iron loss is $2000 W$. When operated a...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Electrical Machines
gate2016-ee-1
transformer-winding
transformer-core
hysterisis-loss
numerical-answers
+
–
0
votes
0
answers
1044
GATE Electrical 2016 Set 1 | Question: 47
A $DC$ shunt generator delivers $45 A$ at a terminal voltage of $220 V$. The armature and the shunt field resistances are $0.01 \Omega$ and $44 \Omega$ respectively. The stray losses are $375 W$. The percentage efficiency of the $DC$ generator is _________.
A $DC$ shunt generator delivers $45 A$ at a terminal voltage of $220 V$. The armature and the shunt field resistances are $0.01 \Omega$ and $44 \Omega$ respectively. The ...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Electrical Machines
gate2016-ee-1
efficiency
core-losses
misc-losses
numerical-answers
+
–
0
votes
0
answers
1045
GATE Electrical 2016 Set 1 | Question: 20
The magnitude of three-phase fault currents at buses $A$ and $B$ of a power system are $10$ pu and $8$ pu, respectively. Neglect all resistances in the system and consider the pre-fault system to be unloaded. The pre-fault voltage at all buses in the ... $0.8$ pu. The voltage magnitude at bus $A$ during a three-phase fault at bus $B$, in pu, is __________.
The magnitude of three-phase fault currents at buses $A$ and $B$ of a power system are $10$ pu and $8$ pu, respectively. Neglect all resistances in the system and conside...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Power Systems
gate2016-ee-1
fault-analysis
power-system-buses
3-phase-short-circuit
numerical-answers
+
–
0
votes
0
answers
1046
GATE Electrical 2016 Set 1 | Question: 21
Consider a system consisting of a synchronous generator working at a lagging power factor, a synchronous motor working at an overexcited condition and a directly grid-connected induction generator. Consider capacitive $VAr$ to be a ... source and induction generator and synchronous generator are sinks of reactive power. All are sources of reactive power.
Consider a system consisting of a synchronous generator working at a lagging power factor, a synchronous motor working at an overexcited condition and a directly grid-con...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Power Systems
gate2016-ee-1
unity-power-factor
source-of-reactive-power
load
+
–
0
votes
0
answers
1047
GATE Electrical 2016 Set 1 | Question: 22
A buck converter, as shown in Figure (a) below, is working in steady state. The output voltage and the inductor current can be assumed to be ripple free. Figure (b) shows the inductor voltage $v_{L}$ during a complete switching interval. Assuming all devices are ideal, the duty cycle of the buck converter is ___________.
A buck converter, as shown in Figure (a) below, is working in steady state. The output voltage and the inductor current can be assumed to be ripple free. Figure (b) shows...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Electrical and Electronic Measurements
gate2016-ee-1
voltage-level-shift
continuous-conduction-mode
boundary-conditions
reverse-current
numerical-answers
+
–
0
votes
0
answers
1048
GATE Electrical 2016 Set 1 | Question: 23
A steady dc current of $100$ $A$ is flowing through a power module $(S, D)$ as shown in Figure (a). The $V-I$ characteristics of the $IGBT (S)$ and the diode $(D)$ are shown in Figures $(b)$ and $(c)$, respectively. The conduction power loss in the power module $(S, D)$, in watts, is _________.
A steady dc current of $100$ $A$ is flowing through a power module $(S, D)$ as shown in Figure (a). The $V-I$ characteristics of the $IGBT (S)$ and the diode $(D)$ are sh...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Analog and Digital Electronics
gate2016-ee-1
voltage-vs-current
transistor
diode
numerical-answers
+
–
0
votes
0
answers
1049
GATE Electrical 2016 Set 1 | Question: 24
A $4$-pole, lap-connected, separately excited $dc$ motor is drawing a steady current of $40$ A while running at $600$ rpm. A good approximation for the waveshape of the current in an armature conductor of the motor is given by
A $4$-pole, lap-connected, separately excited $dc$ motor is drawing a steady current of $40$ A while running at $600$ rpm. A good approximation for the waveshape of the c...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Electrical Machines
gate2016-ee-1
rotor
stator
winding
+
–
0
votes
0
answers
1050
GATE Electrical 2016 Set 1 | Question: 25
If an ideal transformer has an inductive load element at port $2$ as shown in the figure below, the equivalent inductance at port $1$ is $nL \\$ $n^{2}L \\$ $\dfrac{n}{L} \\$ $\dfrac{n^{2}}{L}$
If an ideal transformer has an inductive load element at port $2$ as shown in the figure below, the equivalent inductance at port $1$ is$nL \\$$n^{2}L \\$$\dfrac{n}{L} \\...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Electrical Machines
gate2016-ee-1
turn-ratio
inductive-load
coil
+
–
0
votes
0
answers
1051
GATE Electrical 2016 Set 1 | Question: 26
Candidates were asked to come to an interview with $3$ pens each. Black, blue, green and red were the permitted pen colours that the candidate could bring. The probability that a candidate comes with all $3$ pens having the same colour is _________.
Candidates were asked to come to an interview with $3$ pens each. Black, blue, green and red were the permitted pen colours that the candidate could bring. The probabilit...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Probability & Statistics
gate2016-ee-1
probability-and-statistics
probability
conditional-probability
numerical-answers
+
–
0
votes
0
answers
1052
GATE Electrical 2016 Set 1 | Question: 27
Let $S=\sum_{n=0}^{\infty} n\alpha^{n}$ where $\mid \alpha \mid < 1$. The value of $\alpha$ in the range $0 < \alpha < 1$, such that $S=2 \alpha$ is _________.
Let $S=\sum_{n=0}^{\infty} n\alpha^{n}$ where $\mid \alpha \mid < 1$. The value of $\alpha$ in the range $0 < \alpha < 1$, such that $S=2 \alpha$ is _________.
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Signals and Systems
gate2016-ee-1
fourier-transform
sampling-theorem
z-transform
numerical-answers
+
–
0
votes
0
answers
1053
GATE Electrical 2016 Set 1 | Question: 28
Let the eigenvalues of a $2 \times 2$ matrix $A$ be $1, -2$ with eigenvectors $x_{1}$ and $x_{2}$ respectively. Then the eigenvalues and eigenvectors of the matrix $A^{2}-3A+4I$ would, respectively, be $2, 14; x_{1}, x_{2}$ $2, 14; x_{1}+ x_{2}, x_{1} - x_{2}$ $2, 0; x_{1}, x_{2}$ $2, 0; x_{1}+ x_{2}, x_{1} - x_{2}$
Let the eigenvalues of a $2 \times 2$ matrix $A$ be $1, -2$ with eigenvectors $x_{1}$ and $x_{2}$ respectively. Then the eigenvalues and eigenvectors of the matrix $A^{2}...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Linear Algebra
gate2016-ee-1
linear-algebra
matrices
eigen-values
eigen-vectors
+
–
0
votes
0
answers
1054
GATE Electrical 2016 Set 1 | Question: 29
Let $A$ be a $4 \times 3$ real matrix with rank $2$. Which one of the following statement is TRUE? Rank of $A^{T} A$ is less than $2$. Rank of $A^{T} A$ is equal to $2$. Rank of $A^{T} A$ is greater than $2$. Rank of $A^{T} A$ can be any number between $1$ and $3$.
Let $A$ be a $4 \times 3$ real matrix with rank $2$. Which one of the following statement is TRUE?Rank of $A^{T} A$ is less than $2$.Rank of $A^{T} A$ is equal to $2$.Ran...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Linear Algebra
gate2016-ee-1
linear-algebra
matrices
rank-of-matrix
+
–
0
votes
0
answers
1055
GATE Electrical 2016 Set 1 | Question: 30
Consider the following asymptotic Bode magnitude plot ($\omega$ is in rad/s). Which one of the following transfer functions is best represented by the above Bode magnitude plot? $\dfrac{2s}{(1+0.5s)(1+0.25s)^{2}} \\$ $\dfrac{4(1+0.5s)}{s(1+0.25s)} \\$ $\dfrac{2s}{(1+2s)(1+4s)} \\$ $\dfrac{4s}{(1+2s)(1+4s)^{2}}$
Consider the following asymptotic Bode magnitude plot ($\omega$ is in rad/s).Which one of the following transfer functions is best represented by the above Bode magnitude...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Control Systems
gate2016-ee-1
logarithmic-plot
gain-k
integral-and-derivative-factor
+
–
0
votes
0
answers
1056
GATE Electrical 2016 Set 1 | Question: 31
Consider the following state-space representation of a linear time-invariant system. $x(t)=\begin{pmatrix} 1&0 \\ 0&2 \end{pmatrix} x(t), y(t)= c^{T} x(t), c =\begin{pmatrix} 1& \\ 1& \end{pmatrix} \text {and } x(0)= \begin{pmatrix} 1& \\ 1& \end{pmatrix}$ The value of $y(t)$ for $t =\log_{e} 2$ is __________.
Consider the following state-space representation of a linear time-invariant system.$x(t)=\begin{pmatrix}1&0 \\0&2\end{pmatrix}x(t), y(t)= c^{T} x(t), c =\begin{pmatrix}1...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Control Systems
gate2016-ee-1
transformation
state-space-equations
correlation
numerical-answers
+
–
0
votes
0
answers
1057
GATE Electrical 2016 Set 1 | Question: 32
Loop transfer function of a feedback system is $G(s)H(s)=\dfrac{s+3}{s^{2}(s-3)}$. Take the Nyquist contour in the clockwise direction. Then, the Nyquist plot of $G(s) H (s)$ encircles $-1 + j0$ Once in clockwise direction Twice in clockwise direction Once in anticlockwise direction Twice in anticlockwise direction
Loop transfer function of a feedback system is $G(s)H(s)=\dfrac{s+3}{s^{2}(s-3)}$. Take the Nyquist contour in the clockwise direction. Then, the Nyquist plot of $G(s) H ...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Control Systems
gate2016-ee-1
closed-loop-system
nyquist-stability
mapping
+
–
0
votes
0
answers
1058
GATE Electrical 2016 Set 1 | Question: 33
Given the following polynomial equation $s^{3}+5.5 s^{2}+8.5s+3=0$ the number of roots of the polynomial, which have real parts strictly less than $−1$, is ________.
Given the following polynomial equation $s^{3}+5.5 s^{2}+8.5s+3=0$ the number of roots of the polynomial, which have real parts strictly less than $−1$, is ________.
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Calculus
gate2016-ee-1
calculus
degree-of-polynomial
numerical-answers
+
–
0
votes
0
answers
1059
GATE Electrical 2016 Set 1 | Question: 6
The transfer function of a system is $\dfrac{Y(s)}{R(s)}=\dfrac{s}{s+2}$. The steady state output $y(t)$ is $A \cos (2t + \phi)$ for the input $\cos (2t)$. The values of $A$ and $\phi$ respectively are $\dfrac{1}{\sqrt{2}}, -45^\circ$ $\dfrac{1}{\sqrt{2}}, +45^\circ$ $\sqrt{2}, -45^\circ$ $\sqrt{2}, +45^\circ$
The transfer function of a system is $\dfrac{Y(s)}{R(s)}=\dfrac{s}{s+2}$. The steady state output $y(t)$ is $A \cos (2t + \phi)$ for the input $\cos (2t)$. The values of ...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Control Systems
gate2016-ee-1
laplace-transform
convolution-integral
feed-back-transfer-function
+
–
0
votes
0
answers
1060
GATE Electrical 2016 Set 1 | Question: 7
The phase cross-over frequency of the transfer function $G(s)=\dfrac{100}{(s+1)^{3}}$ in rad/s is $\sqrt{3} \\$ $\dfrac{1}{\sqrt{3}} \\$ $3 \\$ $3\sqrt{3}$
The phase cross-over frequency of the transfer function $G(s)=\dfrac{100}{(s+1)^{3}}$ in rad/s is$\sqrt{3} \\$$\dfrac{1}{\sqrt{3}} \\$$3 \\$$3\sqrt{3}$
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Control Systems
gate2016-ee-1
mathematical-representation
cross-over-frequency
180-phase-shift
bode-stability-criteria
+
–
0
votes
0
answers
1061
GATE Electrical 2016 Set 1 | Question: 8
Consider a continuous-time system with input $x(t)$ and output $y(t)$ given by $y(t)=x(t) \cos (t)$. This system is Linear and time-invariant Non-linear and time-invariant Linear and time-varying Non-linear and time-varying
Consider a continuous-time system with input $x(t)$ and output $y(t)$ given by $y(t)=x(t) \cos (t)$.This system isLinear and time-invariantNon-linear and time-invariantLi...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Signals and Systems
gate2016-ee-1
sampling-theorem
scaling-properties
causal-system
+
–
0
votes
0
answers
1062
GATE Electrical 2016 Set 1 | Question: 9
The value of $\int_{-\infty}^{+\infty} e^{-t} \delta (2t-2){d}t$, where $\delta (t)$ is the Dirac delta function, is $\dfrac{1}{2e} \\$ $\dfrac{2}{e} \\$ $\dfrac{1}{e^{2}} \\$ $\dfrac{1}{2e^{2}}$
The value of $\int_{-\infty}^{+\infty} e^{-t} \delta (2t-2){d}t$, where $\delta (t)$ is the Dirac delta function, is$\dfrac{1}{2e} \\$$\dfrac{2}{e} \\$$\dfrac{1}{e^{2}} \...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Calculus
gate2016-ee-1
calculus
definite-integral
+
–
0
votes
0
answers
1063
GATE Electrical 2016 Set 1 | Question: 10
A temperature in the range of $−40 ^\circ C$ to $55^\circ C$ is to be measured with a resolution of $0.1^\circ C$. The minimum number of $ADC$ bits required to get a matching dynamic range of the temperature sensor is $8$ $10$ $12$ $14$
A temperature in the range of $−40 ^\circ C$ to $55^\circ C$ is to be measured with a resolution of $0.1^\circ C$. The minimum number of $ADC$ bits required to get a ma...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
new
gate2016-ee-1
analog-to-digital-converter
sampling
micro-controller
+
–
2
votes
0
answers
1064
GATE Electrical 2016 Set 1 | Question: 11
Consider the following circuit which uses a $2$-to-$1$ multiplexer as shown in the figure below. The Boolean expression for output $F$ in terms of $A$ and $B$ is $A\oplus B$ $\overline{A+B}$ $A+B$ $\overline{A \oplus B}$
Consider the following circuit which uses a $2$-to-$1$ multiplexer as shown in the figure below. The Boolean expression for output $F$ in terms of $A$ and $B$ is$A\oplus ...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Analog and Digital Electronics
gate2016-ee-1
analog-and-digital-electronics
combinational-circuits
multiplexer
+
–
0
votes
0
answers
1065
GATE Electrical 2016 Set 1 | Question: 12
A transistor circuit is given below. The Zener diode breakdown voltage is $5.3$ V as shown. Take base to emitter voltage drop to be $0.6$ V. The value of the current gain $\beta$ is _________.
A transistor circuit is given below. The Zener diode breakdown voltage is $5.3$ V as shown. Take base to emitter voltage drop to be $0.6$ V. The value of the current gain...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Electric Circuits
gate2016-ee-1
semi-conductor-devices
reverse-saturation-mode
voltage-divider
numerical-answers
+
–
0
votes
0
answers
1066
GATE Electrical 2016 Set 1 | Question: 13
In cylindrical coordinate system, the potential produced by a uniform ring charge is given by $\phi = f(r, z)$ where $f$ is a continuous function of $r$ and $z$. Let $\overrightarrow{E}$ be the resulting electric field. Then the magnitude of $\nabla \times \overrightarrow{E}$ Increases with $r$ Is $0$. Is $3$. Decreases with $z$.
In cylindrical coordinate system, the potential produced by a uniform ring charge is given by $\phi = f(r, z)$ where $f$ is a continuous function of $r$ and $z$. Let $\ov...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Electromagnetic Fields
gate2016-ee-1
electromagnetic-theory
magneto-motive-force
amperes-law
+
–
0
votes
0
answers
1067
GATE Electrical 2016 Set 1 | Question: 14
A soft-iron toroid is concentric with a long straight conductor carrying a direct current $I$. If the relative permeability $\mu_{r}$ of soft-iron is $100$, the ratio of the magnetic flux densities at two adjacent points located just inside and just outside the toroid, is ________.
A soft-iron toroid is concentric with a long straight conductor carrying a direct current $I$. If the relative permeability $\mu_{r}$ of soft-iron is $100$, the ratio of ...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Electromagnetic Fields
gate2016-ee-1
current-carrying-conductor
electromagnetism
faradays-law
numerical-answers
+
–
0
votes
0
answers
1068
GATE Electrical 2016 Set 1 | Question: 15
$R_{A}$ and $R_{B}$ are the input resistances of circuits as shown below. The circuits extend infinitely in the direction shown. Which one of the following statements is TRUE? $R_{A}=R_{B}$ $R_{A}=R_{B}=0$ $R_{A}< R_{B}$ $R_{B}= R_{A} /(1+R_{A})$
$R_{A}$ and $R_{B}$ are the input resistances of circuits as shown below. The circuits extend infinitely in the direction shown. Which one of the following statements is ...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Electric Circuits
gate2016-ee-1
circuit-reduction
series-combination
parallel-combination
+
–
0
votes
0
answers
1069
GATE Electrical 2016 Set 1 | Question: 16
In a constant $V/f$ induction motor drive, the slip at the maximum torque Is directly proportional to the synchronous speed. Remains constant with respect to the synchronous speed. Has an inverse relation with the synchronous speed. Has no relation with the synchronous speed.
In a constant $V/f$ induction motor drive, the slip at the maximum torqueIs directly proportional to the synchronous speed.Remains constant with respect to the synchronou...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Electrical Machines
gate2016-ee-1
slip-speed
synchronous-speed
+
–
0
votes
0
answers
1070
GATE Electrical 2016 Set 1 | Question: 17
In the portion of a circuit shown, if the heat generated in $5 \Omega$ resistance is $10$ calories per second, then heat generated by the $4 \Omega$ resistance, in calories per second, is ________.
In the portion of a circuit shown, if the heat generated in $5 \Omega$ resistance is $10$ calories per second, then heat generated by the $4 \Omega$ resistance, in calori...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Electric Circuits
gate2016-ee-1
parallel-combination
series-combination
current-divider-circuit
numerical-answers
+
–
0
votes
0
answers
1071
GATE Electrical 2016 Set 1 | Question: 18
In the given circuit, the current supplied by the battery, in ampere, is ________.
In the given circuit, the current supplied by the battery, in ampere, is ________.
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Electric Circuits
gate2016-ee-1
voltage-divider
dependent-current-source
superposition
numerical-answers
+
–
0
votes
0
answers
1072
GATE Electrical 2016 Set 1 | Question: 19
In a $100$ bus power system, there are $10$ generators. In a particular iteration of Newton Raphson load flow technique (in polar coordinates), two of the $PV$ buses are converted to $PQ$ type. In this iteration, The ... decreases by two. The number of unknown voltage angles remains unchanged and the number of unknown voltage magnitudes decreases by two.
In a $100$ bus power system, there are $10$ generators. In a particular iteration of Newton Raphson load flow technique (in polar coordinates), two of the $PV$ buses are ...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Power Systems
gate2016-ee-1
power-system-operation
iterations
jacobi-matrix
+
–
0
votes
0
answers
1073
GATE Electrical 2016 Set 1 | Question: 1
The maximum value attained by the function. $f(x) = x(x-1) (x-2)$ in the interval $[1, 2]$ is ___________.
The maximum value attained by the function. $f(x) = x(x-1) (x-2)$ in the interval $[1, 2]$ is ___________.
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Calculus
gate2016-ee-1
calculus
maxima-minima
numerical-answers
+
–
0
votes
0
answers
1074
GATE Electrical 2016 Set 1 | Question: 2
Consider a $3 \times 3$ matrix with every element being equal to $1$. Its only non-zero eigenvalue is ________.
Consider a $3 \times 3$ matrix with every element being equal to $1$. Its only non-zero eigenvalue is ________.
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Linear Algebra
gate2016-ee-1
linear-algebra
matrices
eigen-values
+
–
0
votes
0
answers
1075
GATE Electrical 2016 Set 1 | Question: 3
The Laplace Transform of $f(t)=e^{2t} \sin (5t)(ut)$ is $\dfrac{5}{s^{2}-4s+29} \\ $ $\dfrac{5}{s^{2}+5} \\ $ $\dfrac{s-2}{s^{2}-4s+29} \\$ $\dfrac{5}{s +5}$
The Laplace Transform of $f(t)=e^{2t} \sin (5t)(ut)$ is $\dfrac{5}{s^{2}-4s+29} \\ $$\dfrac{5}{s^{2}+5} \\ $$\dfrac{s-2}{s^{2}-4s+29} \\$$\dfrac{5}{s +5}$
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Signals and Systems
gate2016-ee-1
unit-step-function
fourier-transform
shifting-theorems
+
–
0
votes
0
answers
1076
GATE Electrical 2016 Set 1 | Question: 4
A function $y(t)$, such that $y(0)=1$ and $y(1)=3e^{-1}$, is a solution of the differential equation $\dfrac{d^{2}y}{dt^{2}}+2\dfrac{dy}{dt}+y=0$. Then $y(2)$ is $5e^{-1}$ $5e^{-2}$ $7e^{-1}$ $7e^{-2}$
A function $y(t)$, such that $y(0)=1$ and $y(1)=3e^{-1}$, is a solution of the differential equation$\dfrac{d^{2}y}{dt^{2}}+2\dfrac{dy}{dt}+y=0$. Then $y(2)$ is$5e^{-1}$$...
makhdoom ghaya
9.4k
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makhdoom ghaya
asked
Jan 29, 2017
Differential Equations
gate2016-ee-1
differential-equations
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0
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1077
GATE Electrical 2016 Set 1 | Question: 5
The value of the integral $\oint _{c}\dfrac{2z+5}{\left ( z-\dfrac{1}{2} \right ) \left (z^{2} -4z+5 \right )}dz$ over the contour $\mid z \mid=1$, taken in the anti-clockwise direction, would be $\dfrac{24 \pi i}{13} \\$ $\dfrac{48 \pi i}{13} \\$ $\dfrac{24}{13} \\$ $\dfrac{12}{13}$
The value of the integral$$\oint _{c}\dfrac{2z+5}{\left ( z-\dfrac{1}{2} \right ) \left (z^{2} -4z+5 \right )}dz$$over the contour $\mid z \mid=1$, taken in the anti-cloc...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Calculus
gate2016-ee-1
calculus
definite-integral
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