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Recent questions tagged numerical-answers
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321
GATE ECE 2014 Set 3 | Question: 24
Consider an air filled rectangular waveguide with a cross-section of $5 \: cm \times 3 \: cm $. For this waveguide, the cut-off frequency (in MHz) of $TE_{21}$ mode is __________.
Consider an air filled rectangular waveguide with a cross-section of $5 \: cm \times 3 \: cm $. For this waveguide, the cut-off frequency (in MHz) of $TE_{21}$ mode is __...
Milicevic3306
16.0k
points
73
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Milicevic3306
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Mar 26, 2018
Electromagnetics
gate2014-ec-3
numerical-answers
electromagnetics
cut-off-frequency
+
–
0
votes
0
answers
322
GATE ECE 2014 Set 3 | Question: 26
The maximum value of $f(x)$= $2x^{3}$ – $9x^{2}$ + $12x – 3$ in the interval $0\leq x\leq 3$ is _______.
The maximum value of $f(x)$= $2x^{3}$ – $9x^{2}$ + $12x – 3$ in the interval $0\leq x\leq 3$ is _______.
Milicevic3306
16.0k
points
84
views
Milicevic3306
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Mar 26, 2018
Calculus
gate2014-ec-3
calculus
maxima-minima
numerical-answers
+
–
0
votes
0
answers
323
GATE ECE 2014 Set 3 | Question: 29
Let $X_{1},X_{2},$ and $X_{3}$ be independent and identically distributed random variables with the uniform distribution on $[0,1]$. The probability $P\left \{ X_{1}+X_{2}\leq X_{3}\right \}$ is _________.
Let $X_{1},X_{2},$ and $X_{3}$ be independent and identically distributed random variables with the uniform distribution on $[0,1]$. The probability $P\left \{ X_{1}+X_{2...
Milicevic3306
16.0k
points
120
views
Milicevic3306
asked
Mar 26, 2018
Probability and Statistics
gate2014-ec-3
probability-and-statistics
probability
independent-events
random-variable
uniform-distribution
numerical-answers
+
–
0
votes
0
answers
324
GATE ECE 2014 Set 3 | Question: 32
In the circuit shown in the figure, the angular frequency $\omega$ (in rad/s), at which the Norton equivalent impedance as seen from terminals $b-b'$ is purely resistive, is ________.
In the circuit shown in the figure, the angular frequency $\omega$ (in rad/s), at which the Norton equivalent impedance as seen from terminals $b-b'$ is purely resistive,...
Milicevic3306
16.0k
points
122
views
Milicevic3306
asked
Mar 26, 2018
Electromagnetics
gate2014-ec-3
numerical-answers
electromagnetics
impedance
+
–
0
votes
0
answers
325
GATE ECE 2014 Set 3 | Question: 33
For the $Y$-network shown in the figure, the value of $R_{1}$ (in $\Omega$) in the equivalent $\Delta$-network is __________.
For the $Y$-network shown in the figure, the value of $R_{1}$ (in $\Omega$) in the equivalent $\Delta$-network is __________.
Milicevic3306
16.0k
points
78
views
Milicevic3306
asked
Mar 26, 2018
Network Solution Methods
gate2014-ec-3
numerical-answers
network-solution-methods
+
–
0
votes
0
answers
326
GATE ECE 2014 Set 3 | Question: 35
The slope of the $I_{D}$ vs. $V_{GS}$ curve of an n-channel MOSEFT in linear regime is $10^{-3}\Omega ^{-1}$ at $V_{DS}= 0.1 \: V$. For the same device, neglecting channel length modulation, the slope of the $\sqrt{I_{D} }$ vs. $V_{GS}$ curve (in $\sqrt{A}/V$) under saturation regime is approximately _________.
The slope of the $I_{D}$ vs. $V_{GS}$ curve of an n-channel MOSEFT in linear regime is $10^{-3}\Omega ^{-1}$ at $V_{DS}= 0.1 \: V$. For the same device, neglecting channe...
Milicevic3306
16.0k
points
94
views
Milicevic3306
asked
Mar 26, 2018
Electronic Devices
gate2014-ec-3
numerical-answers
electronic-devices
mosfet
+
–
0
votes
0
answers
327
GATE ECE 2014 Set 3 | Question: 36
An ideal MOS capacitor has boron doping-concentration of $10^{15}cm^{-3}$ in the substrate. When a gate voltage is applied, a depletion region of width $0.5$ $\mu m$ is formed with a surface (channel) potential of $0.2$ $V$. Given that ... silicon dioxide are $12$ and $4$, respectively, the peak electric field (in $V/\mu m$) in the oxide region is _______________.
An ideal MOS capacitor has boron doping-concentration of $10^{15}cm^{-3}$ in the substrate. When a gate voltage is applied, a depletion region of width $0.5$ $\mu m$ is f...
Milicevic3306
16.0k
points
114
views
Milicevic3306
asked
Mar 26, 2018
Electronic Devices
gate2014-ec-3
numerical-answers
electronic-devices
mos-capacitor
+
–
0
votes
0
answers
328
GATE ECE 2014 Set 3 | Question: 39
For the MOSFET $M_{1}$ shown in the figure, assume $W/L= 2$, $V_{DD}= 2.0 \: V$, $\mu _{n}C_{ox}= 100\mu A/V^{2}$ and $V_{TH}= 0.5 \: V$. The transistor $M_{1}$ switches from saturation region to linear region when $V_{in}$(in $Volts$) is ____________.
For the MOSFET $M_{1}$ shown in the figure, assume $W/L= 2$, $V_{DD}= 2.0 \: V$, $\mu _{n}C_{ox}= 100\mu A/V^{2}$ and $V_{TH}= 0.5 \: V$. The transistor $M_{1}$ switches ...
Milicevic3306
16.0k
points
75
views
Milicevic3306
asked
Mar 26, 2018
Electronic Devices
gate2014-ec-3
numerical-answers
electronic-devices
mosfet
+
–
0
votes
0
answers
329
GATE ECE 2014 Set 3 | Question: 43
Let $H_{1}(z)= (1-pz^{-1})^{-1},H_{2}(z)= (1-qz^{-1})^{-1},H(z)=H_{1}(z)+rH_{2}(z).$ The quantities $p,$ $q$, $r$ are real numbers. Consider $p=\frac{1}{2},q=-\frac{1}{4},\mid r \mid < 1.$ If the zero of $H(z)$ lies on the unit circle, then $r$ $=$ _________
Let $H_{1}(z)= (1-pz^{-1})^{-1},H_{2}(z)= (1-qz^{-1})^{-1},H(z)=H_{1}(z)+rH_{2}(z).$ The quantities $p,$ $q$, $r$ are real numbers. Consider $p=\frac{1}{2},q=-\frac{1}{4}...
Milicevic3306
16.0k
points
153
views
Milicevic3306
asked
Mar 26, 2018
Continuous-time Signals
gate2014-ec-3
numerical-answers
continuous-time-signals
poles-and-zeros
+
–
0
votes
0
answers
330
GATE ECE 2014 Set 3 | Question: 45
The $z$-transform of the sequence $x[n]$ is given by $X(z)=\frac{1}{(1-2z^{-1})^{2}},$ with the region of convergence $\mid z \mid >2$. Then, $x[2]$ is _________.
The $z$-transform of the sequence $x[n]$ is given by $X(z)=\frac{1}{(1-2z^{-1})^{2}},$ with the region of convergence $\mid z \mid >2$. Then, $x $ is _________.
Milicevic3306
16.0k
points
65
views
Milicevic3306
asked
Mar 26, 2018
Continuous-time Signals
gate2014-ec-3
numerical-answers
continuous-time-signals
z-transform
+
–
0
votes
0
answers
331
GATE ECE 2014 Set 3 | Question: 46
The steady state error of the system shown in the figure for a unit step input is _________.
The steady state error of the system shown in the figure for a unit step input is _________.
Milicevic3306
16.0k
points
160
views
Milicevic3306
asked
Mar 26, 2018
Network Solution Methods
gate2014-ec-3
numerical-answers
network-solution-methods
steady-state
+
–
0
votes
0
answers
332
GATE ECE 2014 Set 3 | Question: 50
A real band-limited random process $X(t)$ ... -pass filter of unity gain with centre frequency of $8$ $kHz$ and band-width of $2$ kHz. The output power (in Watts) is ___________.
A real band-limited random process $X(t)$ has two-sided power spectral density$$S_{X}(f)= \begin{cases} 10^{-6} (3000-\mid f \mid) \text{Watts/Hz} & \text{for } \mid f \...
Milicevic3306
16.0k
points
188
views
Milicevic3306
asked
Mar 26, 2018
Communications
gate2014-ec-3
numerical-answers
autocorrelation-and-power-spectral-density
communications
+
–
0
votes
0
answers
333
GATE ECE 2014 Set 3 | Question: 51
In a $PCM$ system, the signal $m(t)=\left \{\sin(100\pi t)+\cos(100\pi t) \right \}V$ is sampled at the Nyquist rate. The samples are processed by a uniform quantizer with step size $0.75$ $V$. The minimum data rate of the $PCM$ system in bits per second is ______.
In a $PCM$ system, the signal $m(t)=\left \{\sin(100\pi t)+\cos(100\pi t) \right \}V$ is sampled at the Nyquist rate. The samples are processed by a uniform quantizer wit...
Milicevic3306
16.0k
points
135
views
Milicevic3306
asked
Mar 26, 2018
Communications
gate2014-ec-3
numerical-answers
digital-communications
pulse-code-modulation-systems
communications
+
–
0
votes
0
answers
334
GATE ECE 2014 Set 3 | Question: 52
A binary random variable $X$ takes the value of $1$ with probability $1/3$. $X$ is input to a cascade of $2$ independent identical binary symmetric channels (BSCs) each with crossover probability $1/2$. The output of BSCs are the random variables $Y_{1}$ and $Y_{2}$ as shown in the figure. The value of $H( Y_{1} )+H( Y_{2} )$ in bits is ______.
A binary random variable $X$ takes the value of $1$ with probability $1/3$. $X$ is input to a cascade of $2$ independent identical binary symmetric channels (BSCs) each w...
Milicevic3306
16.0k
points
121
views
Milicevic3306
asked
Mar 26, 2018
Probability and Statistics
gate2014-ec-3
probability-and-statistics
probability
numerical-answers
+
–
0
votes
0
answers
335
GATE ECE 2014 Set 3 | Question: 53
Given the vector $\textbf{A}= ( \cos x ) ( \sin y )\hat{a_{x}}+( \sin x )( \cos y )\hat{a_{y}},$ where $\hat{a_{x}},$ $\hat{a_{y}}$ denote unit vectors along $x$, $y$ directions, respectively. The magnitude of curl of $\textbf{A}$ is __________
Given the vector $\textbf{A}= ( \cos x ) ( \sin y )\hat{a_{x}}+( \sin x )( \cos y )\hat{a_{y}},$ where $\hat{a_{x}},$ $\hat{a_{y}}$ denote unit vectors along $x$, $y$ di...
Milicevic3306
16.0k
points
119
views
Milicevic3306
asked
Mar 26, 2018
Vector Analysis
gate2014-ec-3
numerical-answers
vector-analysis
+
–
0
votes
0
answers
336
GATE ECE 2014 Set 3 | Question: 55
Assume that a plane wave in air with an electric field $\overrightarrow{E}= 10\cos ( \omega t-3x-\sqrt{3}z )\hat{a_{y}}V/m$ is incident on a non-magnetic dielectric slab of relative permittivity $3$ which covers the region $z > 0$. The angle of transmission in the dielectric slab is _________ degrees.
Assume that a plane wave in air with an electric field $\overrightarrow{E}= 10\cos ( \omega t-3x-\sqrt{3}z )\hat{a_{y}}V/m$ is incident on a non-magnetic dielectric slab...
Milicevic3306
16.0k
points
79
views
Milicevic3306
asked
Mar 26, 2018
Electromagnetics
gate2014-ec-3
numerical-answers
plane-waves-and-properties
electromagnetics
+
–
0
votes
0
answers
337
GATE ECE 2014 Set 2 | GA Question: 8
The sum of eight consecutive odd numbers is $656$. The average of four consecutive even numbers is $87$. What is the sum of the smallest odd number and second largest even number?
The sum of eight consecutive odd numbers is $656$. The average of four consecutive even numbers is $87$. What is the sum of the smallest odd number and second largest eve...
Milicevic3306
16.0k
points
104
views
Milicevic3306
asked
Mar 26, 2018
Quantitative Aptitude
gate2014-ec-2
numerical-ability
number-system
numerical-answers
+
–
0
votes
0
answers
338
GATE ECE 2014 Set 2 | Question: 1
The determinant of matrix $A$ is $5$ and the determinant of matrix B is $40$. The determinant of matrix $AB$ is ________
The determinant of matrix $A$ is $5$ and the determinant of matrix B is $40$. The determinant of matrix $AB$ is ________
Milicevic3306
16.0k
points
91
views
Milicevic3306
asked
Mar 26, 2018
Linear Algebra
gate2014-ec-2
numerical-answers
linear-algebra
matrices
determinant
+
–
0
votes
0
answers
339
GATE ECE 2014 Set 2 | Question: 2
Let $X$ be a random variable which is uniformly chosen from the set of positive odd numbers less than $100$. The expectation, $E[X]$, is ________.
Let $X$ be a random variable which is uniformly chosen from the set of positive odd numbers less than $100$. The expectation, $E[X]$, is ________.
Milicevic3306
16.0k
points
95
views
Milicevic3306
asked
Mar 26, 2018
Probability and Statistics
gate2014-ec-2
probability-and-statistics
probability
uniform-distribution
random-variable
numerical-answers
+
–
0
votes
0
answers
340
GATE ECE 2014 Set 2 | Question: 7
In the figure shown, the ideal switch has been open for a long time. If it is closed at t = 0, then the magnitude of the current (in mA) through the $4k \Omega$ resistor at $t= 0^{+}$ is ________.
In the figure shown, the ideal switch has been open for a long time. If it is closed at t = 0, then the magnitude of the current (in mA) through the $4k \Omega$ resistor ...
Milicevic3306
16.0k
points
72
views
Milicevic3306
asked
Mar 26, 2018
Electronic Devices
gate2014-ec-2
numerical-answers
electronic-devices
+
–
0
votes
0
answers
341
GATE ECE 2014 Set 2 | Question: 13
A cascade connection of two voltage amplifier $A1$ and $A2$ is shown in the figure. The open-loop gain $A_{V0}$, input resistance $R_{in}$, and output resistance $R_{o}$ ... $V_{out}/V_{in}$ is __________.
A cascade connection of two voltage amplifier $A1$ and $A2$ is shown in the figure. The open-loop gain $A_{V0}$, input resistance $R_{in}$, and output resistance $R_{o}$ ...
Milicevic3306
16.0k
points
133
views
Milicevic3306
asked
Mar 26, 2018
Electromagnetics
gate2014-ec-2
numerical-answers
electromagnetics
+
–
0
votes
0
answers
342
GATE ECE 2014 Set 2 | Question: 19
Consider the periodic square wave in the figure shown. The ratio of the power in the $7^{th}$ harmonic to the power in the $5^{th}$ harmonic for this waveform is closest in value to ________.
Consider the periodic square wave in the figure shown. The ratio of the power in the $7^{th}$ harm...
Milicevic3306
16.0k
points
95
views
Milicevic3306
asked
Mar 26, 2018
Electromagnetics
gate2014-ec-2
numerical-answers
electronics
electromagnetics
+
–
0
votes
0
answers
343
GATE ECE 2014 Set 2 | Question: 20
The natural frequency of an undamped second-order system is $40$ rad/s. If the system is damped with a damping ratio $0.3$, the damped natural frequency in $rad/s$ is ___________.
The natural frequency of an undamped second-order system is $40$ rad/s. If the system is damped with a damping ratio $0.3$, the damped natural frequency in $rad/s$ is ___...
Milicevic3306
16.0k
points
119
views
Milicevic3306
asked
Mar 26, 2018
Control Systems
gate2014-ec-2
numerical-answers
control-systems
damped-natural-frequency
+
–
0
votes
1
answer
344
GATE ECE 2014 Set 2 | Question: 23
Consider sinusoidal modulation in an AM system. Assuming no overmodulation, the modulation index ($\mu$) when the maximum and minimum values of the envelope, respectively, are $3$ V and $1$ V, is ___________.
Consider sinusoidal modulation in an AM system. Assuming no overmodulation, the modulation index ($\mu$) when the maximum and minimum values of the envelope, respectively...
Milicevic3306
16.0k
points
468
views
Milicevic3306
asked
Mar 26, 2018
Communications
gate2014-ec-2
numerical-answers
communications
amplitude-modulation
+
–
0
votes
0
answers
345
GATE ECE 2014 Set 2 | Question: 24
To maximum power transfer, a lossless transmission line is to be matched to a resistive load impedance via a $\lambda/4$ transformer as shown. The characteristic impedance (in $\Omega$) of the $\lambda$/4 transformer is ___________.
To maximum power transfer, a lossless transmission line is to be matched to a resistive load impedance via a $\lambda/4$ transformer as shown. The c...
Milicevic3306
16.0k
points
101
views
Milicevic3306
asked
Mar 26, 2018
Electromagnetics
gate2014-ec-2
numerical-answers
electromagnetics
impedance
+
–
0
votes
0
answers
346
GATE ECE 2014 Set 2 | Question: 28
The maximum value of the determinant among all $2 \times 2$ real symmetric matrices with trace $14$ is __________.
The maximum value of the determinant among all $2 \times 2$ real symmetric matrices with trace $14$ is __________.
Milicevic3306
16.0k
points
108
views
Milicevic3306
asked
Mar 26, 2018
Linear Algebra
gate2014-ec-2
numerical-answers
linear-algebra
matrices
determinant
+
–
0
votes
0
answers
347
GATE ECE 2014 Set 2 | Question: 29
If $\overrightarrow {r}= x\hat{a_{x}}+y\hat{a_{y}}+z\hat{a_{z}}$ and $\mid \overrightarrow{r} \mid= r$ , then $\text{div} ( r^{2} \nabla ( \text{ln }r ) )$ = _______ .
If $\overrightarrow {r}= x\hat{a_{x}}+y\hat{a_{y}}+z\hat{a_{z}}$ and $\mid \overrightarrow{r} \mid= r$ , then $\text{div} ( r^{2} \nabla ( \text{ln }r ) )$ = _______ .
Milicevic3306
16.0k
points
87
views
Milicevic3306
asked
Mar 26, 2018
Vector Analysis
gate2014-ec-2
vector-analysis
numerical-answers
+
–
0
votes
0
answers
348
GATE ECE 2014 Set 2 | Question: 30
A series LCR circuit is operated at a frequency different from its resonant frequency. The operating frequency is such that the current leads the supply voltage. The magnitude of current is half the value at resonance. If the values of L, C and R are $1$ H, $1$ F and $1 \Omega$, respectively, the operating angular frequency (in rad/s) is _________.
A series LCR circuit is operated at a frequency different from its resonant frequency. The operating frequency is such that the current leads the supply voltage. The magn...
Milicevic3306
16.0k
points
120
views
Milicevic3306
asked
Mar 26, 2018
Control Systems
gate2014-ec-2
numerical-answers
control-systems
frequency-response
+
–
0
votes
0
answers
349
GATE ECE 2014 Set 2 | Question: 31
In the h-parameter model of the $2$-port network given in the figure shown, the value of $h_{22}$ (in S) is ______ .
In the h-parameter model of the $2$-port network given in the figure shown, the value of $h_{22}$ (in S) is ______ .
Milicevic3306
16.0k
points
82
views
Milicevic3306
asked
Mar 26, 2018
Network Solution Methods
gate2014-ec-2
numerical-answers
two-port-network
network-solution-methods
+
–
0
votes
0
answers
350
GATE ECE 2014 Set 2 | Question: 33
In the magnetically coupled circuit shown in the figure, $56 \%$ of the total flux emanating from one coil links the other coil. The value of the mutual inductance (in H) is ____ .
In the magnetically coupled circuit shown in the figure, $56 \%$ of the total flux emanating from one coil links the other coil. The value of the mutual inductance (in H)...
Milicevic3306
16.0k
points
81
views
Milicevic3306
asked
Mar 26, 2018
Network Solution Methods
gate2014-ec-2
numerical-answers
network-solution-methods
+
–
0
votes
0
answers
351
GATE ECE 2014 Set 2 | Question: 34
Assume electronic charge $q= 1.6 \times 10^{-19} \: C$, $kT/q=25 \: mV$ and electron mobility $\mu_{n}= 1000cm^{2}/ V-s$. If the concentration gradient of electrons injected into a $P$-type silicon sample is $ 1 \times 10^{21}/cm^{4}$, the magnitude of electron diffusion current density (in $A/cm^{2}$) is _________ .
Assume electronic charge $q= 1.6 \times 10^{-19} \: C$, $kT/q=25 \: mV$ and electron mobility $\mu_{n}= 1000cm^{2}/ V-s$. If the concentration gradient of electrons injec...
Milicevic3306
16.0k
points
68
views
Milicevic3306
asked
Mar 26, 2018
Electronic Devices
gate2014-ec-2
numerical-answers
electronic-devices
+
–
0
votes
0
answers
352
GATE ECE 2014 Set 2 | Question: 35
Consider an abrupt PN junction (at $T = 300 K$) shown in the figure. The depletion region width $X_{n}$ on the $N$-side of the junction is $0.2 \mu m$ and the permittivity of silicon $( \varepsilon _{gi} )$ is $1.044 \times 10^{-12} \: F/cm$. At the junction, the approximate value of the peak electric field (in $kV/cm$) is ___________.
Consider an abrupt PN junction (at $T = 300 K$) shown in the figure. The depletion region width $X_{n}$ on the $N$-side of the junction is $0.2 \mu m$ and the permittivit...
Milicevic3306
16.0k
points
73
views
Milicevic3306
asked
Mar 26, 2018
Electronic Devices
gate2014-ec-2
numerical-answers
electronic-devices
p-n-junction
+
–
0
votes
0
answers
353
GATE ECE 2014 Set 2 | Question: 39
For the MOSFETs shown in the figure, the threshold voltage $\mid V_{t} \mid= 2$ V and $K= \frac{1}{2}\mu C_{ox} ( \frac{W}{L} ) = 0.1 \: mA/V^{2}$. The value of $I_{D}$ (in mA) is _______________ .
For the MOSFETs shown in the figure, the threshold voltage $\mid V_{t} \mid= 2$ V and $K= \frac{1}{2}\mu C_{ox} ( \frac{W}{L} ) = 0.1 \: mA/V^{2}$. The value of $I_{D}$ ...
Milicevic3306
16.0k
points
81
views
Milicevic3306
asked
Mar 26, 2018
Analog Circuits
gate2014-ec-2
numerical-answers
analog-circuits
mosfet
+
–
0
votes
0
answers
354
GATE ECE 2014 Set 2 | Question: 43
Consider a discrete-time signal $ x[n]= \begin{cases} n & \text{for } 0\leq n\leq 10 \\ 0 & \text{otherwise }\end{cases}$ If $y[n]$ is the convolution of $x[n]$ with itself, the value of $y[4]$ is _______ .
Consider a discrete-time signal $$ x[n]= \begin{cases} n & \text{for } 0\leq n\leq 10 \\ 0 & \text{otherwise }\end{cases}$$ If $y[n]$ is the convolution of $x[n]$ with it...
Milicevic3306
16.0k
points
76
views
Milicevic3306
asked
Mar 26, 2018
Continuous-time Signals
gate2014-ec-2
numerical-answers
continuous-time-signals
discrete-time-signals
+
–
0
votes
0
answers
355
GATE ECE 2014 Set 2 | Question: 45
The value of the integral $\int_{-\infty }^{\infty } \text{sinc}^{2}(5t) \: dt$ is _______.
The value of the integral $\int_{-\infty }^{\infty } \text{sinc}^{2}(5t) \: dt$ is _______.
Milicevic3306
16.0k
points
109
views
Milicevic3306
asked
Mar 26, 2018
Calculus
gate2014-ec-2
numerical-answers
calculus
definite-integrals
+
–
0
votes
0
answers
356
GATE ECE 2014 Set 2 | Question: 47
The Bode asymptotic magnitude plot of a minimum phase system is shown in the figure. If the system is connected in a unity negative feedback configuration, the steady state error of the closed loop system, to a unit ramp input, is _________.
The Bode asymptotic magnitude plot of a minimum phase system is shown in the figure. If the syste...
Milicevic3306
16.0k
points
103
views
Milicevic3306
asked
Mar 26, 2018
Control Systems
gate2014-ec-2
numerical-answers
control-systems
bode-and-root-locus-plots
+
–
0
votes
0
answers
357
GATE ECE 2014 Set 2 | Question: 49
The input to a $1$ – bit quantizer is a random variable $X$ with pdf $f_{X}( x )= 2e^{-2x}$ for $x\geq 0$ and $f_{X} (x )= 0$ for $x< 0$. For outputs to be of equal probability, the quantizer threshold should be ______.
The input to a $1$ – bit quantizer is a random variable $X$ with pdf $f_{X}( x )= 2e^{-2x}$ for $x\geq 0$ and $f_{X} (x )= 0$ for $x< 0$. For outputs to be of equal pro...
Milicevic3306
16.0k
points
95
views
Milicevic3306
asked
Mar 26, 2018
Probability and Statistics
gate2014-ec-2
numerical-answers
probability-and-statistics
probability
probability-density-function
random-variable
+
–
0
votes
0
answers
358
GATE ECE 2014 Set 2 | Question: 51
The power spectral density of a real stationary random process $X(t)$ is given by $ S_X (f) = \begin{cases} \frac{1}{W}, & \mid f \mid \leq W \\ 0, & \mid f \mid > W \end{cases}$ The value of the expectation $E \left [ \pi X(t)X\left ( t-\frac{1}{4W} \right ) \right ]$ is __________.
The power spectral density of a real stationary random process $X(t)$ is given by $$ S_X (f) = \begin{cases} \frac{1}{W}, & \mid f \mid \leq W \\ 0, & \mid f \mid W \e...
Milicevic3306
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Milicevic3306
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Mar 26, 2018
Communications
gate2014-ec-2
numerical-answers
communications
autocorrelation-and-power-spectral-density
+
–
0
votes
0
answers
359
GATE ECE 2014 Set 2 | Question: 52
In the figure, $M(f)$ is the Fourier transform of the message signal $m(t)$ where $A = 100$ Hz and $B = 40$ Hz. Given $v(t)= \cos (2\pi f_{c}t)$ and $w(t)= \cos (2\pi (f_{c}+A)t)$, where $f_{c}>A$. The cutoff frequencies of both the filters are $f_{c}$. The bandwidth of the signal at the output of the modulater (in Hz) is ______.
In the figure, $M(f)$ is the Fourier transform of the message signal $m(t)$ where $A = 100$ Hz and $B = 40$ Hz. Given $v(t)= \cos (2\pi f_{c}t)$ and $w(t)= \cos (2\pi (f_...
Milicevic3306
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183
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Milicevic3306
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Mar 26, 2018
Continuous-time Signals
gate2014-ec-2
numerical-answers
continuous-time-signals
fourier-transform
+
–
0
votes
0
answers
360
GATE ECE 2014 Set 2 | Question: 54
In the transmission line shown, the impedance $Z_{\text{in}}$ (in ohms) between node A and the ground is _________.
In the transmission line shown, the impedance $Z_{\text{in}}$ (in ohms) between node A and the ground is _________.
Milicevic3306
16.0k
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Milicevic3306
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Mar 26, 2018
Electromagnetics
gate2014-ec-2
numerical-answers
electromagnetics
impedance
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