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1081
GATE Electrical 2016 Set 1 | GA Question: 9
In a $2 \times 4$ rectangle grid shown below, each cell is a rectangle. How many rectangles can be observed in the grid? $21$ $27$ $30$ $36$
In a $2 \times 4$ rectangle grid shown below, each cell is a rectangle. How many rectangles can be observed in the grid?$21$$27$$30$ $36$
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Quantitative Aptitude
gate2016-ee-1
numerical-ability
counting
+
–
0
votes
0
answers
1082
GATE Electrical 2016 Set 1 | GA Question: 10
Choose the correct expression for $f(x)$ given in the graph. $f(x) = 1 - \mid x - 1 \mid $ $f(x) = 1 + \mid x - 1 \mid $ $f(x) = 2 - \mid x - 1 \mid $ $f(x) = 2 + \mid x - 1 \mid $
Choose the correct expression for $f(x)$ given in the graph.$f(x) = 1 - \mid x - 1 \mid $$f(x) = 1 + \mid x - 1 \mid $$f(x) = 2 - \mid x - 1 \mid $$f(x) = 2 + \mid x - 1 ...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Quantitative Aptitude
gate2016-ee-1
numerical-ability
geometry
coordinate-system
+
–
0
votes
0
answers
1083
GATE Electrical 2016 Set 1 | GA Question: 1
The man who is now Municipal Commissioner worked as __________. The security guard at a university A security guard at the university A security guard at university The security guard at the university
The man who is now Municipal Commissioner worked as __________.The security guard at a universityA security guard at the universityA security guard at universityThe secur...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Verbal Aptitude
gate2016-ee-1
verbal-ability
english-grammar
+
–
0
votes
0
answers
1084
GATE Electrical 2016 Set 1 | Question: 48
A three-phase, $50 Hz$ salient-pole synchronous motor has a per-phase direct-axis reactance $(X_{d})$ of $0.8$ pu and a per-phase quadrature-axis reactance $(X_{q})$ of $0.6$ pu. Resistance of the machine is negligible. It is drawing full-load current at $0.8$ pf(leading). When the terminal voltage is $1$ pu, per-phase induced voltage, in pu, is _______.
A three-phase, $50 Hz$ salient-pole synchronous motor has a per-phase direct-axis reactance $(X_{d})$ of $0.8$ pu and a per-phase quadrature-axis reactance $(X_{q})$ of $...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Electrical Machines
gate2016-ee-1
damper-winding
constant-dc-field-winding
reactive-power
numerical-answers
+
–
0
votes
0
answers
1085
GATE Electrical 2016 Set 1 | Question: 49
A single-phase, $22 kVA, 2200 V/ 220 V, 50 Hz$, distribution transformer is to be connected as an auto-transformer to get an output voltage of $2420 V$. Its maximum $kVA$ rating as an autotransformer is $22$ $24.2$ $242$ $2420$
A single-phase, $22 kVA, 2200 V/ 220 V, 50 Hz$, distribution transformer is to be connected as an auto-transformer to get an output voltage of $2420 V$. Its maximum $kVA$...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Power Systems
gate2016-ee-1
leakage-reactance
transformation-ratio
magnetization-branch
+
–
0
votes
0
answers
1086
GATE Electrical 2016 Set 1 | Question: 50
A single-phase full-bridge voltage source inverter $(VSI)$ is fed from a $300 V$ battery. A pulse of $120^\circ$ duration is used to trigger the appropriate devices in each half-cycle. The rms value of the fundamental component of the output voltage, in volts, is $234$ $245$ $300$ $331$
A single-phase full-bridge voltage source inverter $(VSI)$ is fed from a $300 V$ battery. A pulse of $120^\circ$ duration is used to trigger the appropriate devices in ea...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Electric Circuits
gate2016-ee-1
power-electronics-inverters
pulse-width-modulation-in-inverters
half-bridge-inverters
+
–
0
votes
0
answers
1087
GATE Electrical 2016 Set 1 | Question: 51
A single-phase transmission line has two conductors each of $10$ mm radius. These are fixed at a center-to-center distance of $1$ m in a horizontal plane. This is now converted to a three-phase transmission line by introducing a third ... more than that of the inductance per conductor of the single-phase system. The distance $D$, in meters, is _________.
A single-phase transmission line has two conductors each of $10$ mm radius. These are fixed at a center-to-center distance of $1$ m in a horizontal plane. This is now con...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Power Systems
gate2016-ee-1
transmission-system-design
transmission-parameters
transposition
numerical-answers
+
–
0
votes
0
answers
1088
GATE Electrical 2016 Set 1 | Question: 52
In the circuit shown below, the supply voltage is $10 \sin(1000t)$ volts. The peak value of the steady state current through the $1 \Omega$ resistor, in amperes, is ________.
In the circuit shown below, the supply voltage is $10 \sin(1000t)$ volts. The peak value of the steady state current through the $1 \Omega$ resistor, in amperes, is _____...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Electric Circuits
gate2016-ee-1
mesh-analysis
nodal-analysis
sinusoidal-voltage-source
numerical-answers
+
–
0
votes
0
answers
1089
GATE Electrical 2016 Set 1 | Question: 53
A dc voltage with ripple is given by $v(t)=\left [ 100+10\sin\left ( \omega t \right )-5\sin\left ( 3\omega t \right ) \right ]$ volts. Measurements of this voltage $v(t)$ made by moving-coil and moving-iron voltmeters, show readings of $V_{1}$ and $V_{2}$ respectively. The value of $V_{2} − V_{1}$, in volts, is ________.
A dc voltage with ripple is given by $v(t)=\left [ 100+10\sin\left ( \omega t \right )-5\sin\left ( 3\omega t \right ) \right ]$ volts. Measurements of this voltage $v(t)...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Electromagnetic Fields
gate2016-ee-1
faraday-law
magnetic-induction
induced-emf
numerical-answers
+
–
0
votes
0
answers
1090
GATE Electrical 2016 Set 1 | Question: 54
The circuit below is excited by a sinusoidal source. The value of $R$, in $\Omega$, for which the admittance of the circuit becomes a pure conductance at all frequencies is _____________.
The circuit below is excited by a sinusoidal source. The value of $R$, in $\Omega$, for which the admittance of the circuit becomes a pure conductance at all frequencies ...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Electric Circuits
gate2016-ee-1
capacitance
inductance
sinusoidal-source
numerical-answers
+
–
0
votes
0
answers
1091
GATE Electrical 2016 Set 1 | Question: 55
In the circuit shown below, the node voltage $V_{A}$ is ___________ $V$.
In the circuit shown below, the node voltage $V_{A}$ is ___________ $V$.
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Electric Circuits
gate2016-ee-1
elctronics
dependent-voltge-source
nodal-analysis
numerical-answers
+
–
0
votes
0
answers
1092
GATE Electrical 2016 Set 1 | Question: 34
Suppose $x_{1}(t)$ and $x_{2}(t)$ have the Fourier transforms as shown below. Which one of the following statements is TRUE? $x_{1}(t)$ and $x_{2}(t)$ are complex and $x_{1}(t) x_{2}(t)$is also complex with nonzero imaginary part $x_{1}(t)$ and $x_{2}(t)$ ... $x_{1}(t)$ and $x_{2}(t)$ are imaginary but $x_{1}(t) x_{2}(t)$ is real
Suppose $x_{1}(t)$ and $x_{2}(t)$ have the Fourier transforms as shown below.Which one of the following statements is TRUE?$x_{1}(t)$ and $x_{2}(t)$ are complex and $x_{1...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Signals and Systems
gate2016-ee-1
mirror
signal
+
–
0
votes
0
answers
1093
GATE Electrical 2016 Set 1 | Question: 35
The output of a continuous-time, linear time-invariant system is denoted by $T\left\{x(t)\right\}$ where $x(t)$ is the input signal. A signal $z(t)$ is called eigen-signal of the system $T$, when $T\left\{z(t)\right\}=\gamma z(t)$ ... $\cos(t)$ is not $\cos(t)$ and $\sin(t)$are both eigen-signals with identical eigenvalues
The output of a continuous-time, linear time-invariant system is denoted by $T\left\{x(t)\right\}$ where $x(t)$ is the input signal. A signal $z(t)$ is called eigen-signa...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Signals and Systems
gate2016-ee-1
impulse-response
step-response
convolution
+
–
0
votes
0
answers
1094
GATE Electrical 2016 Set 1 | Question: 36
The current state $Q_{A} Q_{B}$ of a two $JK$ flip-flop system is $00$. Assume that the clock rise-time is much smaller than the delay of the $JK$ flip-flop. The next state of the system is $00$ $01$ $11$ $10$
The current state $Q_{A} Q_{B}$ of a two $JK$ flip-flop system is $00$. Assume that the clock rise-time is much smaller than the delay of the $JK$ flip-flop. The next sta...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Analog and Digital Electronics
gate2016-ee-1
registers
ram
memory-storing-elements
+
–
0
votes
0
answers
1095
GATE Electrical 2016 Set 1 | Question: 37
A $2$-bit flash Analog to Digital Converter $(ADC)$ is given below. The input is $0 \leq V_{IN} \leq 3$ Volts. The expression for the $LSB$ of the output $B_{o}$ as a Boolean function of $X_{2}, X_{1}$, and $X_{0}$ ... $X_{0}\left[X_{2} \oplus X_{1}\right] \\$ $\overline{X_{0}}\left[X_{2} \oplus X_{1}\right]$
A $2$-bit flash Analog to Digital Converter $(ADC)$ is given below. The input is $0 \leq V_{IN} \leq 3$ Volts. The expression for the $LSB$ of the output $B_{o}$ as a Boo...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Analog and Digital Electronics
gate2016-ee-1
least-significant-bit
boolean-expression
operational-amplifier
+
–
0
votes
0
answers
1096
GATE Electrical 2016 Set 1 | Question: 38
Two electric charges $q$ and $−2q$ are placed at $(0,0)$ and $(6,0)$ on the $x-y$ plane. The equation of the zero equipotential curve in the $x-y$ plane is $x=-2$ $y=2$ $x^{2}+y^{2}=2$ $(x+2)^{2}+y^{2}=16$
Two electric charges $q$ and $−2q$ are placed at $(0,0)$ and $(6,0)$ on the $x-y$ plane. The equation of the zero equipotential curve in the $x-y$ plane is$x=-2$$y=2$$x...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Electromagnetic Fields
gate2016-ee-1
electromagnetism
electromagnetic-theory
coulomb's-law
+
–
0
votes
0
answers
1097
GATE Electrical 2016 Set 1 | Question: 39
In the circuit shown, switch $S_{2}$ has been closed for a long time. At time $t=0$ switch $S_{1}$ is closed. At $t=0^{+}$, the rate of change of current through the inductor, in amperes per second, is _____.
In the circuit shown, switch $S_{2}$ has been closed for a long time. At time $t=0$ switch $S_{1}$ is closed. At $t=0^{+}$, the rate of change of current through the indu...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Electric Circuits
gate2016-ee-1
high-frequency-switch
dc-battery
rl-load
numerical-answers
+
–
0
votes
0
answers
1098
GATE Electrical 2016 Set 1 | Question: 40
A three-phase cable is supplying $800 kW$ and $600 kVAr$ to an inductive load. It is intended to supply an additional resistive load of $100 kW$ through the same cable without increasing the heat dissipation in the cable, by providing a three- ... voltage is $3.3 kV$, $50 Hz$, the capacitance per phase of the bank, expressed in microfarads, is ________.
A three-phase cable is supplying $800 kW$ and $600 kVAr$ to an inductive load. It is intended to supply an additional resistive load of $100 kW$ through the same cable wi...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Power Systems
gate2016-ee-1
active-power
reactive-power
heat-losses
numerical-answers
+
–
0
votes
0
answers
1099
GATE Electrical 2016 Set 1 | Question: 41
A $30 MVA$, $3$-phase, $50 Hz$, $13.8 kV$, star-connected synchronous generator has positive, negative and zero sequence reactances, $15\%$, $15\%$ and $5\%$ respectively. A reactance $(X_{n})$ is connected between the neutral of the ... The value of $X_{n}$ (in p.u.) that will limit the positive sequence generator current to $4270 \: A$ is ________.
A $30 MVA$, $3$-phase, $50 Hz$, $13.8 kV$, star-connected synchronous generator has positive, negative and zero sequence reactances, $15\%$, $15\%$ and $5\%$ respectively...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Power Systems
gate2016-ee-1
slip
power-system-faults
sequence-networks
numerical-answers
+
–
0
votes
0
answers
1100
GATE Electrical 2016 Set 1 | Question: 42
If the star side of the star-delta transformer shown in the figure is excited by a negative sequence voltage, then $V_{AB}$ leads $V_{ab}$ by $60^\circ$ $V_{AB}$ lags $V_{ab}$ by $60^\circ$ $V_{AB}$ leads $V_{ab}$ by $30^\circ$ $V_{AB}$ lags $V_{ab}$ by $30^\circ$
If the star side of the star-delta transformer shown in the figure is excited by a negative sequence voltage, then$V_{AB}$ leads $V_{ab}$ by $60^\circ$$V_{AB}$ lags $V_{a...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Power Systems
gate2016-ee-1
sequence-voltages
star-to-delta-conversion
120-phase-shift
+
–
0
votes
0
answers
1101
GATE Electrical 2016 Set 1 | Question: 43
A single-phase thyristor-bridge rectifier is fed from a $230 V, 50 Hz$, single-phase $AC$ mains. If it is delivering a constant $DC$ current of $10 A$, at firing angle of $30^\circ$, then value of the power factor at $AC$ mains is $0.87$ $0.9$ $0.78$ $0.45$
A single-phase thyristor-bridge rectifier is fed from a $230 V, 50 Hz$, single-phase $AC$ mains. If it is delivering a constant $DC$ current of $10 A$, at firing angle of...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
new
gate2016-ee-1
ac-to-dc-conversion
magnitude-control
phase-control
+
–
0
votes
0
answers
1102
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
1103
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
1104
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
1105
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
1106
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
1107
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
1108
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
1109
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
1110
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
1111
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
1112
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
1113
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
1114
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
1115
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
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–
0
votes
0
answers
1116
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
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–
0
votes
0
answers
1117
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
1118
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
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–
0
votes
0
answers
1119
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
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–
0
votes
0
answers
1120
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
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