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401
GATE ECE 2017 Set 2  Question: 23
A sinusoidal message signal is converted to a PCM signal using a uniform quantizer. The required signaltoquantization noise ratio (SQNR) at the output of the quantizer is $40$ dB. The minimum number of bits per sample needed to achieve the desired SQNR is __________
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Nov 23, 2017
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digitalcommunications
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402
GATE ECE 2017 Set 2  Question: 30
The minimum value of the function $f(x)=\frac{1}{3} x(x^23)$ in the interval $100≤x≤100$ occurs at $x =$ ________.
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Nov 23, 2017
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Calculus
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403
GATE ECE 2017 Set 2  Question: 29
Passengers try repeatedly to get a seat reservation in any train running between two stations until they are successful. If there is $40 \%$ chance of getting reservation in any attempt by a passenger, then the average number of attempts that passengers need to make to get a seat reserved is __________
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Nov 23, 2017
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Probability and Statistics
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probability
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404
GATE ECE 2017 Set 2  Question: 19
Consider the state space realization $\begin{bmatrix} \dot{x_1}(t)\\ \dot{x_2}(t) \end{bmatrix}=\begin{bmatrix} 0 &0 \\ 0&9 \end{bmatrix}\begin{bmatrix} x_1(t)\\ x_2(t) \end{bmatrix}+\begin{bmatrix} 0\\ 45 \end{bmatrix} u(t)$ , with ... function. The value of $\underset{t\rightarrow \infty }{\lim}\left  \sqrt{x_1^2(t)+x_2^2(t)} \right $ is __________.
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Nov 23, 2017
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Continuoustime Signals
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32
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discretetimesignals
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0
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405
GATE ECE 2017 Set 2  Question: 18
For the system shown in the figure, $Y(s)/X(s)$ = ___________
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Nov 23, 2017
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Control Systems
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30
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gate2017ec2
numericalanswers
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0
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406
GATE ECE 2017 Set 2  Question: 13
In the figure, $D1$ is a real silicon $pn$ junction diode with a drop of $0.7V$ under forward bias condition and $D2$ is a Zener diode breakdown voltage of $6.8V$. The input $V_{in}(t)$ is a periodic square wave of period $T$ ... $20.5 V$ $6.1 V$ and $21.9 V$ $7.5 V$ and $21.2 V$ $6.1 V$ and $22.6 V$
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Nov 23, 2017
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Electronic Devices
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50
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gate2017ec2
numericalanswers
electronicdevices
0
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0
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407
GATE ECE 2017 Set 2  Question: 14
Consider the circuit shown in the figure. Assume basetoemitter voltage $V_{BE}=0.8 V$ and commonbase current gain ($\alpha$) of the transistor is unity. The value of the collectortoemitter voltage $V_{CE}$ (in volt) is ____________
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Nov 23, 2017
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Analog Circuits
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bipolarjunctiontransistor
numericalanswers
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0
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408
GATE ECE 2017 Set 2  Question: 22
Consider the random process $X(t)=U+Vt,$ Where $U$ is a zeromean Gaussian random variable and V is a random variable uniformly distributed between $0$ and $2$. Assume that $U$ and $V$ are statistically independent. The mean value of the random process at $t = 2$ is ________
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Nov 23, 2017
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Probability and Statistics
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gate2017ec2
numericalanswers
probabilityandstatistics
probability
randomvariable
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409
GATE ECE 2017 Set 2  Question: 11
Consider an $n$channel MOSFET having width $W$, length $L$, electron mobility in the channel $\mu _{n}$ and oxide capacitance per unit area $C_{ox}$. If gatetosource $V_{GS}=0.7$ V, draintosource voltage $V_{DS}=0.1 V$, $\mu _{n}C_{ox}=100 \mu A/V^{2}$, threshold voltage $V_{TH}=0.3V$ and $(W/L)=50$, then the transconductance $g_{m}$ (in mA/V) is __________.
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Nov 23, 2017
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Electronic Devices
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gate2017ec2
mosfet
numericalanswers
electronicdevices
0
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0
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410
GATE ECE 2017 Set 2  Question: 3
The smaller angle (in degrees) between the planes $x+y+z=1$ and $2xy+2z=0$ is ________.
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Nov 23, 2017
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Vector Analysis
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80
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gate2017ec2
vectorinplanes
numericalanswers
vectoranalysis
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0
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411
GATE ECE 2017 Set 2  Question: 12
The output $V_0$ of the diode circuit shown in the figure is connected to an averaging DC voltmeter. The reading on the DC voltmeter in Volts, neglecting the voltage drop across the diode, is _________________.
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Nov 23, 2017
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Analog Circuits
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gate2017ec2
diodes
numericalanswers
analogcircuits
0
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0
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412
GATE ECE 2017 Set 2  Question: 5
In the circuit shown, V is a sinusoidal voltage source. The current $I$ is in phase with voltage V. The ratio$\frac{\text{amplitude of voltage across the capacitor}}{\text{amplitude of voltage across the resistor}}$ is ___________.
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Nov 23, 2017
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Network Solution Methods
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gate2017ec2
numericalanswers
networksolutionmethods
sinusoidal
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0
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413
GATE ECE 2017 Set 2  Question: 6
A connection is made consisting of resistance A in series with a parallel combination of resistances $B$ and $C$. Three resistors of value $10 Ω, 5 Ω, 2 Ω$ are provided. Consider all possible permutations of the given resistors ... possible overall resistance. The ratio of maximum to minimum values of the resistances (up to second decimal place) is ___________.
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Nov 23, 2017
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Network Solution Methods
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261
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gate2017ec2
numericalanswers
networksolutionmethods
tobetagged
0
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0
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414
GATE ECE 2017 Set 2  Question: 1
The rank of the matrix $\begin{bmatrix} 1 & 1& 0& 0& 0& \\ 0& 0& 1& 1& 0& \\ 0& 1& 1& 0& 0& \\ 1& 0& 0& 0& 1& \\ 0& 0& 0& 1& 1& \end{bmatrix}$ is ________.
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Nov 23, 2017
in
Linear Algebra
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45
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linearalgebra
matrices
rankofmatrix
numericalanswers
0
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0
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415
GATE ECE 2017 Set 1  Question: 53
An optical fiber is kept along the $\hat{z}$ direction. The refractive indices for the electric fields along $\hat{x}$ and $\hat{y}$ directions in the fiber are $n_{x}=1.5000$ and $n_{y}=1.5001$, ... is circularly polarized at the input of the fiber, the minimum propagation distance after which it becomes linearly polarized, in centimeters,is______________.
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Nov 17, 2017
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Electromagnetics
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26
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gate2017ec1
polarization
opticalfiber
numericalanswers
electromagnetics
0
votes
0
answers
416
GATE ECE 2017 Set 1  Question: 52
A continuous time signal $x(t)=4 \cos(200\pi t)+8 \cos(400\pi t)$, where $t$ is in seconds, is the input to a linear time invariant (LTI) filter with the impulse response $h(t)=\begin{cases} \frac{2 \sin (300\pi t)}{\pi t},& t\neq 0 \\ 600, & t=0. \end{cases}$ Let $y(t)$ be the output of this filter. The maximum value of $ \mid y(t) \mid $ is _________.
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Nov 17, 2017
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Continuoustime Signals
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42
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gate2017ec1
numericalanswers
continuoustimesignals
lineartimeinvariantsystems
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votes
0
answers
417
GATE ECE 2017 Set 1  Question: 42
The amplifier circuit shown in the figure is implemented using a compensated operational amplifier (opamp), and has an openloop voltage gain, $A_{0}=10^{5}V/V$ and an openloop cutoff frequency, $f_{c}=8Hz$. The voltage gain of the amplifier at $15$ kHz, in V/V, is____________.
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Nov 17, 2017
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Analog Circuits
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gate2017ec1
numericalanswers
analogcircuits
opamps
0
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0
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418
GATE ECE 2017 Set 1  Question: 38
As shown, two Silicon (Si) abrupt $pn$ junction diodes are fabricated with uniform donor doping concentrations of $ N_{D1}=10^{14} cm^{3} $ and $N_{D2}=10^{16}cm^{3}$ in the $n$regions of the diodes, and uniform acceptor ... in potentials of the diodes, the ratio $C_{2}/C_{1}$ of their reverse bias capacitance for the same applied reverse bias, is _________.
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Nov 17, 2017
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Electronic Devices
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21
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gate2017ec1
numericalanswers
pnjunction
electronicdevices
0
votes
0
answers
419
GATE ECE 2017 Set 1  Question: 39
In the figure shown, the $npn$ transistor acts as a switch. For the input $V_{in}(t)$ as shown in the figure, the transistor switches between the cutoff and saturation regions of operation, when $T$ is large. Assume collectortoemitter ... $(\alpha)$ of the transistor for the switching should be __________.
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Nov 17, 2017
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Analog Circuits
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23
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gate2017ec1
bipolarjunctiontransistor
numericalanswers
analogcircuits
0
votes
0
answers
420
GATE ECE 2017 Set 1  Question: 41
For the circuit shown, assume that the NMOS transistor is in saturation. Its threshold voltage $V_{tn}=1V$ and its transconductance parameter $\mu_{n}C_{ox}\big(\frac{W}{L}\big)=1 \: mA/V^{2}$.Neglect channel length modulation and body bias effects. Under these conditions, the drain current $I_{D}$ in $mA$ is ________.
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Nov 17, 2017
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Analog Circuits
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52
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gate2017ec1
bjtandmosfetamplifiers
numericalanswers
analogcircuits
0
votes
0
answers
421
GATE ECE 2017 Set 1  Question: 41
For the DC analysis of the CommonEmitter amplifier shown, neglect the base current and assume that the emitter and collector currents are equal. Given that $V_{T}=25mV,V_{BE}=0.7V$, and the BJT output resistance $r_{o}$ is practically infinite. Under these conditions, the midband voltage gain magnitude, $A_{v}=\mid v_{o}/v_{i} \mid $, V/V is ____________.
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Nov 17, 2017
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Analog Circuits
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19
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gate2017ec1
bjtandmosfetamplifiers
numericalanswers
analogcircuits
0
votes
0
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422
GATE ECE 2017 Set 1  Question: 36
The dependence of drift velocity of electrons on electric field in a semiconductor is shown below. The semiconductor has a uniform electron concentration of $n=1 \times 10^{16} cm^{3}$ and electronic charge $q=1.6 \times 10 ^{19}C$. If a bias ... a $1 µm$ region of this semiconductor, the resulting current density in this region, in $kA/cm^{2} $, is _____.
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Nov 17, 2017
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Electronic Devices
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2.8k
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64
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gate2017ec1
carriertransport
numericalanswers
electronicdevices
+1
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0
answers
423
GATE ECE 2017 Set 1  Question: 37
As shown , a uniformly doped Silicon bar of length $L=0.1\mu m$ with a donor concentration $N_{D}=10^{16}cm^{3}$ is illuminated at $x=0$ ... that goes to $0$ at $x=L$, the magnitude of the diffusion current density at $x=L/2$, in $A/cm^{2}$, is ___________.
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Nov 17, 2017
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Electronic Devices
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63
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gate2017ec1
numericalanswers
electronicdevices
intrinsicandextrinsicsilicon
carriertransport
0
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0
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424
GATE ECE 2017 Set 1  Question: 44
A $4$bit shift register circuit configured for rightshift operation, i.e. $D_{in}\rightarrow A,A\rightarrow B,B\rightarrow C,C\rightarrow D$, is shown. If the present state of the shift register is $ABCD=1101$, the number of clock cycles required to reach the state $ABCD=1111$ is _________.
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Nov 17, 2017
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Digital Circuits
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gate2017ec1
digitalcircuits
sequentialcircuit
shiftregisters
numericalanswers
0
votes
0
answers
425
GATE ECE 2017 Set 1  Question: 32
Two discretetime signals $x[n]$ and $h[n]$ are both nonzero only for $n=0,1,2$, and are zero otherwise .It is given that $x[0]=1, \: x[1]=2, \: x[2]=1, \: h[0]=1$ Let $y[n]$ be the linear convolution of $x[n]$ and $h[n]$. Given that $y[1]=3$ and $y[2]=4$, the value of the expression $(10y[3]+y[4])$ is__________.
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Nov 17, 2017
in
Continuoustime Signals
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gate2017ec1
numericalanswers
continuoustimesignals
discretetimesignals
signalsandsystems
0
votes
0
answers
426
GATE ECE 2017 Set 1  Question: 35
In the circuit shown, the voltage $V_{IN}(t)$ is described by: $V_{IN}(t)=\begin{cases} 0, & \text{for } t< 0 \\ 15 \text{Volts} & \text{for } t\geq 0 \end{cases}$ where $t$ is in seconds. The time (in seconds) at which the current $I$ in the circuit will reach the value $2$ Amperes is ___________.
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Nov 17, 2017
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Analog Circuits
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25
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gate2017ec1
numericalanswers
analogcircuits
0
votes
0
answers
427
GATE ECE 2017 Set 1  Question: 34
The figure shows an RLC circuit excited by the sinusoidal voltage $100 \cos(3t)$ Volts, where $t$ is in seconds. The ratio $\frac{\text{amplitude of }V_{2}}{\text{amplitude of }V{1}}$ is______.
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Nov 17, 2017
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Network Solution Methods
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numericalanswers
networksolutionmethods
rlccircuits
0
votes
0
answers
428
GATE ECE 2017 Set 1  Question: 33
Let $h[n]$ ... radians. Given that $H(\omega_{0})=0$ and $0< \omega_{0} < \pi$, the value of $\omega_{0}$ (in radians) is equal to__________.
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Nov 17, 2017
in
Continuoustime Signals
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31
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gate2017ec1
numericalanswers
continuoustimesignals
lineartimeinvariantsystems
fouriertransform
0
votes
0
answers
429
GATE ECE 2017 Set 1  Question: 28
Let $I=\int_{c}\left ( 2zdx+2ydy+2xdx \right )$ where $x,y,z$ are real, and let $C$ be the straight line segment from point $A:(0,2,1)$ to point $B:(4,1,1)$.The value of $I$ is ____________.
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Nov 17, 2017
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Complex Analysis
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gate2017ec1
complexanalysis
numericalanswers
0
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0
answers
430
GATE ECE 2017 Set 1  Question: 21
Let $\left ( X_{1},X_{2} \right )$ be independent random variables. $\left ( X_{1} \right )$ has mean $0$ and variance $1$, while $\left ( X_{2} \right )$ has mean $1$ and variance $4$. The mutual information $I\left (X_{1},X_{2} \right )$ between $X1$ and $X2$ in bits is_______.
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Nov 17, 2017
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Communications
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informationtheory
mutualinformation
numericalanswers
communications
0
votes
0
answers
431
GATE ECE 2017 Set 1  Question: 24
The voltage of an electromagnetic wave propagating in a coaxial cable with uniform characteristic impedance is $V(l)= e^{\gamma l +j\omega t }$ Volts, where $l$ ... rad/s is the angular frequency. The absolute value of the attenuation in the cable in dB/meter is__________.
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Nov 17, 2017
in
Electromagnetics
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58
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transmissionlines
impedence
numericalanswers
electromagnetics
0
votes
0
answers
432
GATE ECE 2017 Set 1  Question: 18
The open loop transfer function $G(s)=\frac{(s+1)}{s^{p}(s+2)(s+3)}$ where $p$ is an integer, is connected in unity feedback configuration as shown in figure. Given that the steady state error is zero for unit step input and is $6$ for unit ramp input, the parameter $p$ is__________.
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Nov 17, 2017
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Control Systems
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gate2017ec1
numericalanswers
controlsystems
transferfunction
0
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0
answers
433
GATE ECE 2017 Set 1  Question: 30
Starting with $x=1$, the solution of the equation $x^{3}+x=1$, after two iterations of NewtonRaphson’s method(up to two decimal places) is__________.
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Nov 17, 2017
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Numerical Methods
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numericalanswers
numericalmethods
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0
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434
GATE ECE 2017 Set 1  Question: 27
A three dimensional region $R$ of finite volume is described by $x^2 + y^2 \leq z^3; \: \: 0 \leq z \leq 1,$ where $x,y,z$ are real. The volume of $R$ (up to two decimal places) is _________
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Vector Analysis
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vectoranalysis
numericalanswers
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0
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435
GATE ECE 2017 Set 1  Question: 4
Three fair cubical dice are thrown simultaneously . The probability that all three dice have the same number of dots on the faces showing up is (up to third decimal place)________.
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Nov 17, 2017
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Probability and Statistics
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probabilityandstatistics
probability
numericalanswers
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0
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436
GATE ECE 2017 Set 1  Question: 7
In the circuit shown, the positive angular frequency $\omega$ (in radians per second) at which the magnitude of the phase difference between the voltages $V_1$ and $V_2$ equals $\frac{\pi}{4}$ radians, is _________
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Nov 17, 2017
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Electronic Devices
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