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Questions by piyag476
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41
GATE Electrical 2013 | Question: 25
The equation$\begin{bmatrix} 2&-2 \\ 1& -1 \end{bmatrix}\begin{bmatrix} x_1\\ x_2 \end{bmatrix}=\begin{bmatrix} 0\\0 \end{bmatrix}$ has no solution only one solution $\begin{bmatrix} x1\\x2 \end{bmatrix}=\begin{bmatrix} 0\\0 \end{bmatrix}$ non-zero unique solution multiple solutions
The equation$\begin{bmatrix} 2&-2 \\ 1& -1 \end{bmatrix}\begin{bmatrix} x_1\\ x_2 \end{bmatrix}=\begin{bmatrix} 0\\0 \end{bmatrix}$ hasno solutiononly one solution $\begi...
asked
Feb 11, 2017
Linear Algebra
gate2013-ee
linear-algebra
matrices
system-of-linear-equations
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0
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0
answers
42
GATE Electrical 2013 | Question: 24
Given a vector field $\textbf{F}=y^2x \textbf{a}_x-yz \textbf{a}_y-x^2 \textbf{a}_z$ the line integral $\int \textbf{F} \cdot d \textbf{l}$ evaluated along a segment on the $x$-axis from $x=1$ to $x=2$ is $-2.33$ $0$ $2.33$ $7$
Given a vector field $\textbf{F}=y^2x \textbf{a}_x-yz \textbf{a}_y-x^2 \textbf{a}_z$ the line integral $\int \textbf{F} \cdot d \textbf{l}$ evaluated along a segment on t...
asked
Feb 11, 2017
Calculus
gate2013-ee
calculus
field-vector
integral
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0
votes
0
answers
43
GATE Electrical 2013 | Question: 23
Square roots of $-i$,where $i=\sqrt{-1}$, are $i,-i \\$ $\cos(-\dfrac{\pi }{4} )+i\sin(-\dfrac{\pi }{4})+\cos(\dfrac{3\pi }{4})+i\sin(\dfrac{3\pi }{4}) \\$ $\cos(\dfrac{\pi }{4} )+i\sin(\dfrac{3\pi }{4})+\cos(\dfrac{3\pi }{4})+i\sin(\dfrac{\pi }{4}) \\$ $\cos(\dfrac{3\pi }{4} )+i\sin(-\dfrac{3\pi }{4})+\cos(-\dfrac{3\pi }{4})+i\sin(\dfrac{3\pi }{4})$
Square roots of $-i$,where $i=\sqrt{-1}$, are$i,-i \\$$\cos(-\dfrac{\pi }{4} )+i\sin(-\dfrac{\pi }{4})+\cos(\dfrac{3\pi }{4})+i\sin(\dfrac{3\pi }{4}) \\$$\cos(\dfrac{\pi ...
asked
Feb 11, 2017
Complex Variables
gate2013-ee
complex-variables
complex-number
trigonometry
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1
votes
0
answers
44
GATE Electrical 2013 | Question: 22
Three moving iron type voltmeters are connected as shown below. Voltmeter readings are $V$, $V1$ and $V2$ , as indicated. The correct relation among the voltmeter readings is $V=\dfrac{V1}{\sqrt{2}}+\dfrac{V2}{\sqrt{2}}$ $V =V_1 +V_2$ $V =V_1V_2$ $V =V_2 - V_1$
Three moving iron type voltmeters are connected as shown below. Voltmeter readings are $V$, $V1$ and $V2$ , as indicated. The correct relation among the voltmeter reading...
asked
Feb 11, 2017
Electric Circuits
gate2013-ee
voltage-source
lc-filter
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–
0
votes
0
answers
45
GATE Electrical 2013 | Question: 21
Leakage flux in an induction motor is flux that leaks through the machine flux that links both stator and rotor windings flux that links none of the windings flux that links the stator winding or the rotor winding but not both
Leakage flux in an induction motor isflux that leaks through the machineflux that links both stator and rotor windingsflux that links none of the windingsflux that links ...
asked
Feb 11, 2017
Electrical Machines
gate2013-ee
magnetic-flux
stator-winding
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0
votes
0
answers
46
GATE Electrical 2013 | Question: 20
The angle $\delta$ in the swing equation of a synchronous generator is the angle between stator voltage and current. angular displacement of the rotor with respect to the stator. angular displacement of the stator $\text{mmf}$ with ... a synchronously rotating axis. angular displacement of an axis fixed to the rotor with respect to a synchronously rotating axis.
The angle $\delta$ in the swing equation of a synchronous generator is theangle between stator voltage and current.angular displacement of the rotor with respect to the s...
asked
Feb 11, 2017
Electrical Machines
gate2013-ee
magneto-motive-force
cage-type-rotor
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–
0
votes
0
answers
47
GATE Electrical 2013 | Question: 19
Consider a $\delta$ connection of resistors and its equivalent star connection as shown below. If all elements of the delta connection are scaled by a factor $k, k > 0$, the elements of the corresponding star equivalent will be scaled by a factor of $k^2$ $k$ $1/ k$ $\sqrt{k}$
Consider a $\delta$ connection of resistors and its equivalent star connection as shown below. If all elements of the delta connection are scaled by a factor $k, k 0$, t...
asked
Feb 11, 2017
Power Systems
gate2013-ee
delta-connection
wye-connection
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0
votes
0
answers
48
GATE Electrical 2013 | Question: 18
A band-limited signal with a maximum frequency of $5\:kHz$ is to be sampled. According to the sampling theorem, the sampling frequency in $kHz$ which is not valid is $5$ $12$ $15$ $20$
A band-limited signal with a maximum frequency of $5\:kHz$ is to be sampled. According to the sampling theorem, the sampling frequency in $kHz$ which is not valid is$5$$1...
asked
Feb 11, 2017
Analog and Digital Electronics
gate2013-ee
band-width
sampling-theorem
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–
0
votes
0
answers
49
GATE Electrical 2013 | Question: 17
For a periodic signal $v(t) = 30 \sin100t +10 \cos 300t + 6 \sin (500t+\pi /4)$, the fundamental frequency in $rad/s$ is $100$ $300$ $500$ $1500$
For a periodic signal $v(t) = 30 \sin100t +10 \cos 300t + 6 \sin (500t+\pi /4)$, the fundamental frequency in $rad/s$ is$100$$300$$500$$1500$
asked
Feb 11, 2017
Signals and Systems
gate2013-ee
periodicity
sinusoidal
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0
votes
0
answers
50
GATE Electrical 2013 | Question: 16
A bulb in a staircase has two switches, one switch being at the ground floor and the other one at the first floor. The bulb can be turned $ON$ and also can be turned $OFF$ by any one of the switches irrespective of the state of the other switch. The logic of switching of the bulb resembles an $AND$ gate an $OR$ gate an $XOR$ gate a $NAND$ gate
A bulb in a staircase has two switches, one switch being at the ground floor and the other one at the first floor. The bulb can be turned $ON$ and also can be turned $OFF...
asked
Feb 11, 2017
Analog and Digital Electronics
gate2013-ee
logic-gates
truth-table
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–
0
votes
0
answers
51
GATE Electrical 2013 | Question: 15
The Bode plot of a transfer function $G(s)$ is shown in the figure below. The gain $\big(20 \log\mid G(s) \mid \big)$ is $32 dB$ and $-8 dB$ at $1$ rad/s and $10$ rad/s respectively. The phase is negative for all $\omega$. Then $G(s)$ is $\dfrac{39.8}{s} \\$ $\dfrac{39.8}{s^2} \\$ $\dfrac{32}{s} \\$ $\dfrac{32}{s^2}$
The Bode plot of a transfer function $G(s)$ is shown in the figure below.The gain $\big(20 \log\mid G(s) \mid \big)$ is $32 dB$ and $-8 dB$ at $1$ rad/s and $10$ rad/s r...
asked
Feb 11, 2017
Control Systems
gate2013-ee
gain
stability
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–
0
votes
0
answers
52
GATE Electrical 2013 | Question: 14
The input impedance of the permanent magnet moving coil $(PMMC)$ voltmeter is infinite. Assuming that the diode shown in the figure below is ideal, the reading of the voltmeter in Volts is $4.46$ $3.15$ $2.23$ $0$
The input impedance of the permanent magnet moving coil $(PMMC)$ voltmeter is infinite. Assuming that the diode shown in the figure below is ideal, the reading of the vol...
asked
Feb 11, 2017
Analog and Digital Electronics
gate2013-ee
tube
diode
electronics
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–
0
votes
0
answers
53
GATE Electrical 2013 | Question: 13
In the feedback network shown below,if the feedback factor $k$ is increased, then the input impedance increases and output impedance decreases. input impedance increases and output impedance also increases. input impedance decreases and output impedance also decreases. input impedance decreases and output impedance increases.
In the feedback network shown below,if the feedback factor $k$ is increased, then theinput impedance increases and output impedance decreases.input impedance increases an...
asked
Feb 11, 2017
Control Systems
gate2013-ee
network-analysis
branches
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–
1
votes
0
answers
54
GATE Electrical 2013 | Question: 12
The curl of the gradient of the scaler field defined by $V=2x^2y+3y^2z+4z^2x$ is $4xy \textbf{a}_x+6yz \textbf{a}_y+8zx \textbf{a}_z$ $4 \textbf{a}_x+6\textbf{a}_y+8 \textbf{a}_z$ $(4xy+4z^2) \textbf{a}_x+(2x^2+6yz) \textbf{a}_y+(3y^2+8zx) \textbf{a}_z$ $0$
The curl of the gradient of the scaler field defined by $V=2x^2y+3y^2z+4z^2x$ is$4xy \textbf{a}_x+6yz \textbf{a}_y+8zx \textbf{a}_z$$4 \textbf{a}_x+6\textbf{a}_y+8 \textb...
asked
Feb 11, 2017
Electromagnetic Fields
gate2013-ee
scaler-product
slope-of-gradient
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0
votes
0
answers
55
GATE Electrical 2013 | Question: 11
A continuous random variable $X$ has a probability density function $f(x)=e^{-x}, 0< x< \infty$. then $P\{X> 1\}$ $0.368$ $0.5$ $0.632$ $1.0$
A continuous random variable $X$ has a probability density function $f(x)=e^{-x}, 0< x< \infty$. then $P\{X 1\}$$0.368$$0.5$$0.632$$1.0$
asked
Feb 11, 2017
Probability & Statistics
gate2013-ee
probability-and-statistics
probability
random-variable
probability-density-function
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0
votes
0
answers
56
GATE Electrical 2013 | Question: 10
The flux density at a point in space is given by $\textbf{B}=4x \textbf{a}_x+2ky \textbf{a}_y+8 \textbf{a}_z \:\: Wb/m^2$. The value of constant $k$ must be equal to $-2$ $-0.5$ $+0.5$ $+2$
The flux density at a point in space is given by $\textbf{B}=4x \textbf{a}_x+2ky \textbf{a}_y+8 \textbf{a}_z \:\: Wb/m^2$. The value of constant $k$ must be equal to$-2$...
asked
Feb 11, 2017
Electromagnetic Fields
gate2013-ee
magnetic-flux
electromagnetism
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–
0
votes
0
answers
57
GATE Electrical 2013 | Question: 9
A single-phase transformer has no-load loss of $64W$,as obtained from an open-circuit test.when a short-circuit test is performed on it with $90\%$ of the rated current flowing in its both $LV$ and $HV$ winding,the measured loss is $81W$.The transformer has maximum ... $80.0\: \%$ of the rated current. $88.8 \:\%$ of the rated current.
A single-phase transformer has no-load loss of $64W$,as obtained from an open-circuit test.when a short-circuit test is performed on it with $90\%$ of the rated current f...
asked
Feb 11, 2017
Electrical Machines
gate2013-ee
efficiency
winding
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–
0
votes
0
answers
58
GATE Electrical 2013 | Question: 8
A single-phase load is supplied by a single-phase voltage source. If the current flowing from the load to the source is $10\angle -150^0\: A$ and if the voltage at the load terminals is $100\angle 60^0\: V$, ... absorbs real power and absorbs reactive power. Load delivers real power and delivers reactive power. Load delivers real power and absorbs reactive power.
A single-phase load is supplied by a single-phase voltage source. If the current flowing from the load to the source is $10\angle -150^0\: A$ and if the voltage at the lo...
asked
Feb 11, 2017
Power Systems
gate2013-ee
reactive-power
real-power
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–
0
votes
0
answers
59
GATE Electrical 2013 | Question: 7
A source $V_s(t) =V\cos100\pi t$ has an internal impedance of $(4+j3) \Omega$.If a purely resistive load connected to this source has to extract the maximum power out of source, its value in $\Omega$ should be $3$ $4$ $5$ $7$
A source $V_s(t) =V\cos100\pi t$ has an internal impedance of $(4+j3) \Omega$.If a purely resistive load connected to this source has to extract the maximum power out of ...
asked
Feb 11, 2017
Electric Circuits
gate2013-ee
nodal-analysis
mesh-analysis
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–
0
votes
0
answers
60
GATE Electrical 2013 | Question: 6
Two systems with impulse responses $h_1(t)$ and $h_2(t)$ are connected in cascade.then the overall impulse response of the cascaded system is given by Product of $h_1(t)$ and $h_2(t)$ Sum of $h_1(t)$ and $h_2(t)$ convolution of $h_1(t)$ and $h_2(t)$ subtraction of $h_2(t)$ from $h_1(t)$
Two systems with impulse responses $h_1(t)$ and $h_2(t)$ are connected in cascade.then the overall impulse response of the cascaded system is given byProduct of $h_1(t)$ ...
asked
Feb 11, 2017
Signals and Systems
gate2013-ee
convolution
multiplication
addition
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–
0
votes
0
answers
61
GATE Electrical 2013 | Question: 5
Which of the following statement is NOT TRUE for a continuous time causal and stable $LTI$ system? All the poles of the system must lie on the left side of $j\omega$ axis Zeros of the system can lie anywhere in the $s$ - plane All the poles ... within $\mid s\mid=1$ All the roots of the characteristic equation must be located on the left side of $j\omega$ axis
Which of the following statement is NOT TRUE for a continuous time causal and stable $LTI$ system?All the poles of the system must lie on the left side of $j\omega$ axisZ...
asked
Feb 11, 2017
Control Systems
gate2013-ee
stability
block-diagram
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–
0
votes
0
answers
62
GATE Electrical 2013 | Question: 4
The impulse response a the system is $h(t)=t\:u(t).$ For an input $u(t-1)$, the output is $\dfrac{t^2}{2}u(t) \\$ $\dfrac{t(t-1)}{2}u(t-1) \\$ $\dfrac{(t-1)^2}{2}u(t-1) \\$ $\dfrac{t^2-1}{2}u(t-1)$
The impulse response a the system is $h(t)=t\:u(t).$ For an input $u(t-1)$, the output is$\dfrac{t^2}{2}u(t) \\$$\dfrac{t(t-1)}{2}u(t-1) \\$$\dfrac{(t-1)^2}{2}u(t-1) \\$$...
asked
Feb 11, 2017
Signals and Systems
gate2013-ee
fourier-transform
sampling-theorem
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–
0
votes
0
answers
63
GATE Electrical 2013 | Question: 3
Assuming zero initial condition, the response $y(t)$ of the system given below to a unit step input $u(t)$ is? $u(t) \\$ $t\:u(t) \\$ $\dfrac{t^2}{2}u(t) \\$ $e^{-t}u(t)$
Assuming zero initial condition, the response $y(t)$ of the system given below to a unit step input $u(t)$ is? $u(t) \\$$t\:u(t) \\$$\dfrac{t^2}{2}u(t) \\$$e^{-t}u(t)$
asked
Feb 11, 2017
Control Systems
gate2013-ee
impulse-response
step-function
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–
0
votes
0
answers
64
GATE Electrical 2013 | Question: 2
The transfer function $\dfrac{V2(s)}{V1(s)}$ of the circuit shown below is $\dfrac{0.5s+1}{s+1} \\$ $\dfrac{3s+6}{s+2} \\$ $\dfrac{s+2}{s+1} \\$ $\dfrac{s+1}{s+2}$
The transfer function $\dfrac{V2(s)}{V1(s)}$ of the circuit shown below is$\dfrac{0.5s+1}{s+1} \\$$\dfrac{3s+6}{s+2} \\$$\dfrac{s+2}{s+1} \\$$\dfrac{s+1}{s+2}$
asked
Feb 11, 2017
Control Systems
gate2013-ee
block-diagram
voltage-source
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–
0
votes
0
answers
65
GATE Electrical 2013 | Question: 1
In the circuit shown below what is the output voltage $(V_{out})$ in $Volts$ if a silicon transistor $Q$ and an ideal op-amp are used? $-15$ $-0.7$ $0.7$ $15$
In the circuit shown below what is the output voltage $(V_{out})$ in $Volts$ if a silicon transistor $Q$ and an ideal op-amp are used?$-15$$-0.7$$0.7$$15$
asked
Feb 11, 2017
Electric Circuits
gate2013-ee
operational-amplifier
transistor
ground
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