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Recent questions tagged gate2020-ec
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41
GATE ECE 2020 | Question: 28
The current $I$ in the given network is $0 \: A$ $2.38\angle -96.37^{\circ}A$ $2.38\angle143.63^{\circ}A$ $2.38\angle-23.63^{\circ}A$
The current $I$ in the given network is $0 \: A$$2.38\angle -96.37^{\circ}A$$2.38\angle143.63^{\circ}A$$2.38\angle-23.63^{\circ}A$
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1.9k
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123
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Feb 13, 2020
Network Solution Methods
gate2020-ec
network-solution-methods
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0
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2
answers
42
GATE ECE 2020 | Question: 29
A finite duration discrete-time signal $x[n]$ is obtained by sampling the continuous-time signal $x\left ( t \right )=\cos\left ( 200\pi t \right )$ at sampling instants $t=n/400, n=0, 1, \dots ,7.$ The $8$-point discrete Fourier transform $\text{(DFT)}$ of $x[n]$ is ... Only $X[4]$ is non-zero. Only $X[2]$ and $X[6]$ are non-zero. Only $X[3]$ and $X[5]$ are non-zero.
A finite duration discrete-time signal $x[n]$ is obtained by sampling the continuous-time signal $x\left ( t \right )=\cos\left ( 200\pi t \right )$ at sampling instants ...
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1.9k
points
366
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Feb 13, 2020
Continuous-time Signals
gate2020-ec
continuous-time-signals
signals-and-systems
discrete-time-signals
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1
votes
0
answers
43
GATE ECE 2020 | Question: 33
The base of an $\text{npn BJT T1}$ has a linear doping profile $N_{B}\left ( x \right )$ as shown below. The base of another $\text{npn BJT T2}$ has a uniform doping $N_{B}$ of $10^{17}cm^{-3}$. All other parameters are identical for both the ... $\text{T1}$. approximately $2.5$ times that of $\text{T1}$. approximately $0.7$ times that of $\text{T1}$.
The base of an $\text{npn BJT T1}$ has a linear doping profile $N_{B}\left ( x \right )$ as shown below. The base of another $\text{npn BJT T2}$ has a uniform doping $N_...
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1.9k
points
242
views
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Feb 13, 2020
Analog Circuits
gate2020-ec
analog-circuits
bipolar-junction-transistor
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0
votes
0
answers
44
GATE ECE 2020 | Question: 34
A $pn$ junction solar cell of area $1.0\:cm^{2}$, illuminated uniformly with $100\:mW\:cm^{-2}$, has the following parameters: Efficiency $= 15\%$, open circuit voltage $= 0.7\:V$, fill factor $= 0.8$, and thickness $=200 \mu m$ ... $0.84\times 10^{19}.$ $5.57\times 10^{19}.$ $1.04\times 10^{19}.$ $83.60\times 10^{19}.$
A $pn$ junction solar cell of area $1.0\:cm^{2}$, illuminated uniformly with $100\:mW\:cm^{-2}$, has the following parameters: Efficiency $= 15\%$, open circuit voltage $...
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1.9k
points
140
views
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Feb 13, 2020
Electronic Devices
gate2020-ec
electronic-devices
p-n-junction
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0
votes
0
answers
45
GATE ECE 2020 | Question: 35
For the $\text{BJT}$ in the amplifier shown below, $V_{BE}=0.7V,\:kT/q=26\:mV$. Assume that $\text{BJT}$ output resistance $(r_{o})$ is very high and the base current is negligible. The capacitors are also assumed to be short circuited at signal frequencies. The ... The low frequency voltage gain $v_{o}/v_{i}$ of the amplifier is $-89.42$ $-128.21$ $-178.85$ $-256.42$
For the $\text{BJT}$ in the amplifier shown below, $V_{BE}=0.7V,\:kT/q=26\:mV$. Assume that $\text{BJT}$ output resistance $(r_{o})$ is very high and the base current is ...
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1.9k
points
183
views
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Feb 13, 2020
Analog Circuits
gate2020-ec
analog-circuits
bipolar-junction-transistor
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–
0
votes
0
answers
46
GATE ECE 2020 | Question: 36
An enhancement $\text{MOSFET}$ of threshold voltage $3\:V$ is being used in the sample and hold circuit given below. Assume that the substrate of the $\text{MOS}$ device is connected to $-10\:V$. If the input voltage $V_{1}$ lies between $\pm 10\:V,$ the minimum and the maximum ... $\text{10 V and -10 V}$. $\text{13 V and -7 V}$. $\text{10 V and -13 V}$.
An enhancement $\text{MOSFET}$ of threshold voltage $3\:V$ is being used in the sample and hold circuit given below. Assume that the substrate of the $\text{MOS}$ device ...
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points
149
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Feb 13, 2020
Electronic Devices
gate2020-ec
electronic-devices
mosfet
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–
1
votes
0
answers
47
GATE ECE 2020 | Question: 37
Using the incremental low frequency small-signal model of the $\text{MOS}$ device, the Norton equivalent resistance of the following circuit is $r_{ds}+R+g_{m}r_{ds}R \\$ $\dfrac{r_{ds}+R}{1+g_{m}r_{ds}} \\$ $r_{ds}+\dfrac{1}{g_{m}}+R \\$ $r_{ds}+R$
Using the incremental low frequency small-signal model of the $\text{MOS}$ device, the Norton equivalent resistance of the following circuit is $r_{d...
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1.9k
points
290
views
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Feb 13, 2020
Network Solution Methods
gate2020-ec
network-solution-methods
nortons
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1
votes
1
answer
48
GATE ECE 2020 | Question: 38
$P, Q$, and $R$ are the decimal integers corresponding to the $4$-bit binary number $1100$ considered in signed magnitude, $1$’s complement, and $2$’s complement representations, respectively. The $6$-bit $2$’s complement representation of $(P+Q+R)$ is $110101$ $110010$ $111101$ $111001$
$P, Q$, and $R$ are the decimal integers corresponding to the $4$-bit binary number $1100$ considered in signed magnitude, $1$’s complement, and $2$’s complement repr...
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1.9k
points
541
views
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Feb 13, 2020
Control Systems
gate2020-ec
control-systems
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0
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0
answers
49
GATE ECE 2020 | Question: 39
The state diagram of a sequence detector is shown below. State $S_{0}$ is the initial state of the sequence detector. If the output is $1$, then the sequence $01010$ is detected. the sequence $01011$ is detected. the sequence $01110$ is detected. the sequence $01001$ is detected.
The state diagram of a sequence detector is shown below. State $S_{0}$ is the initial state of the sequence detector. If the output is $1$, then the sequence $01010$ is d...
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1.9k
points
348
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Feb 13, 2020
Control Systems
gate2020-ec
state-diagram
sequence-detector
control-systems
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0
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0
answers
50
GATE ECE 2020 | Question: 40
The characteristic equation of a system is $s^{3}+3s^{2}+\left ( K+2 \right )s+3K=0.$ In the root locus plot for the given system, as $K$ varies from $0$ to $\infty$, the break-away or break-in points(s) lie within $(-1, 0)$ $(-2, -1)$ $(-3, -2)$ $(-\infty, -3)$
The characteristic equation of a system is $$s^{3}+3s^{2}+\left ( K+2 \right )s+3K=0.$$ In the root locus plot for the given system, as $K$ varies from $0$ to $\infty$, t...
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1.9k
points
128
views
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Feb 13, 2020
Control Systems
gate2020-ec
control-systems
bode-and-root-locus-plots
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0
votes
0
answers
51
GATE ECE 2020 | Question: 41
The components in the circuit given below are ideal. If $R=2\:k \Omega$ and $C=1$ $\mu F$, the $-3$ dB cut-off frequency of the circuit in Hz is $14.92$ $34.46$ $59.68$ $79.58$
The components in the circuit given below are ideal. If $R=2\:k \Omega$ and $C=1$ $\mu F$, the $-3$ dB cut-off frequency of the circuit in Hz is$14.92$$34.46$$59.68$$79.5...
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1.9k
points
104
views
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Feb 13, 2020
Control Systems
gate2020-ec
control-systems
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0
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0
answers
52
GATE ECE 2020 | Question: 42
For the modulated signal $x\left ( t \right )=m\left ( t \right )\cos\left ( 2\pi f_{c}t \right )$, the message signal $m\left ( t \right )=4\cos\left ( 1000\pi t \right )$ and the carrier frequency $f_{c}$ is $1\: MHz$. The signal $x(t)$ is passed ... $\cos\left ( 920\pi t \right )$ $\cos\left ( 1000\pi t \right )$ $\cos\left ( 540\pi t \right )$
For the modulated signal $x\left ( t \right )=m\left ( t \right )\cos\left ( 2\pi f_{c}t \right )$, the message signal $m\left ( t \right )=4\cos\left ( 1000\pi t \right ...
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1.9k
points
211
views
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Feb 13, 2020
Communications
gate2020-ec
communications
demodulator
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0
votes
0
answers
53
GATE ECE 2020 | Question: 43
For an infinitesimally small dipole in free space, the electric field $E_{\theta }$ in the far field is proportional to $e^{-jkr/r}\sin\theta$, where $k=2\pi /\lambda$. A vertical infinitesimally small electric dipole $\left (\delta l \ll \lambda \right )$ ... field radiation pattern occurs at $\theta =60^{\circ}$, is $\lambda$ $0.5\lambda$ $0.25\lambda$ $0.75\lambda$
For an infinitesimally small dipole in free space, the electric field $E_{\theta }$ in the far field is proportional to $e^{-jkr/r}\sin\theta$, where $k=2\pi /\lambda$. A...
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1.9k
points
221
views
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Feb 13, 2020
Electromagnetics
gate2020-ec
electromagnetics
radiation-pattern
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0
votes
0
answers
54
GATE ECE 2020 | Question: 44
In the voltage regulator shown below, $V_{1}$ is the unregulated imput at $15\:V$. Assume $V_{BE}=0.7\:V$ and the base current is negligible for both the $\text{BJTs}$. If the regulated output $V_{O}$ is $9\:V$, the value of $R_{2}$ is ___________$\Omega$
In the voltage regulator shown below, $V_{1}$ is the unregulated imput at $15\:V$. Assume $V_{BE}=0.7\:V$ and the base current is negligible for both the $\text{BJTs}$. I...
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1.9k
points
103
views
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Feb 13, 2020
Analog Circuits
gate2020-ec
numerical-answers
analog-circuits
bipolar-junction-transistor
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–
0
votes
0
answers
55
GATE ECE 2020 | Question: 45
The magnetic field of a uniform plane wave in vacuum is given by $\overrightarrow{H}\left ( x,y,z,t \right )=(\hat{a_{x}}+2\hat{a_{y}}+b\hat{a_{z}})\cos\left ( \omega t+3x-y-z\right ).$ The value of $b$ is ___________.
The magnetic field of a uniform plane wave in vacuum is given by $$\overrightarrow{H}\left ( x,y,z,t \right )=(\hat{a_{x}}+2\hat{a_{y}}+b\hat{a_{z}})\cos\left ( \omega t+...
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1.9k
points
105
views
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Feb 13, 2020
Electromagnetics
gate2020-ec
numerical-answers
plane-waves-and-properties
electromagnetics
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0
votes
0
answers
56
GATE ECE 2020 | Question: 46
For a $2$-port network consisting of an ideal lossless transformer, the parameter $S_{21}$ (rounded off to two decimal places) for a reference impedance of $10 \Omega$, is __________.
For a $2$-port network consisting of an ideal lossless transformer, the parameter $S_{21}$ (rounded off to two decimal places) for a reference impedance of $10 \Omega$, i...
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1.9k
points
146
views
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Feb 13, 2020
Electromagnetics
gate2020-ec
numerical-answers
impedance
electromagnetics
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–
0
votes
0
answers
57
GATE ECE 2020 | Question: 47
$S_{PM}(t)$ and $S_{FM}(t)$ as defined below, are the phase modulated and the frequency modlated waveforms, respectively, corresponding to the message signal $m(t)$ ... $S_{PM}(t)$ and $S_{FM}(t)$ are same, then the value of the ratio $\dfrac{K_{p}}{K_{f}}$ is ________ seconds.
$S_{PM}(t)$ and $S_{FM}(t)$ as defined below, are the phase modulated and the frequency modlated waveforms, respectively, corresponding to the message signal $m(t)$ shown...
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1.9k
points
104
views
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Feb 13, 2020
Communications
gate2020-ec
numerical-answers
communications
frequency-modulation
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–
0
votes
0
answers
58
GATE ECE 2020 | Question: 48
In a digital communication system, a symbol $S$ randomly chosen from the set $\left \{ s_{1},s_{2},s_{3},s_{4} \right \}$ is transmitted. It is given that $s_{1}=-3,s_{2}=-1,s_{3}=+1$ and $s_{4}=+2$. The received ... decoding when the transmitted symbol $S=s_{i}$. The index $i$ for which the conditional symbol error probability $P_{i}$ is the highest is ___________.
In a digital communication system, a symbol $S$ randomly chosen from the set $\left \{ s_{1},s_{2},s_{3},s_{4} \right \}$ is transmitted. It is given that $s_{1}=-3,s_{2}...
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1.9k
points
127
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Feb 13, 2020
Communications
gate2020-ec
numerical-answers
digital-communications
communications
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–
0
votes
0
answers
59
GATE ECE 2020 | Question: 49
A system with transfer function $G\left ( s \right )=\dfrac{1}{\left ( s+1 \right )\left ( s+a \right )},\:\:a> 0$ is subjected to an input $5 \cos3t$. The steady state output of the system is $\dfrac{1}{\sqrt{10}}\cos\left ( 3t-1.892 \right )$. The value of $a$ is _______.
A system with transfer function $G\left ( s \right )=\dfrac{1}{\left ( s+1 \right )\left ( s+a \right )},\:\:a 0$ is subjected to an input $5 \cos3t$. The steady state ou...
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1.9k
points
186
views
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Feb 13, 2020
Network Solution Methods
gate2020-ec
numerical-answers
network-solution-methods
transfer-function
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–
1
votes
1
answer
60
GATE ECE 2020 | Question: 50
For the components in the sequential circuit shown below, $t_{pd}$ is the propagation delay, $t_{\text{setup}}$ is the setup-time, and $t_{\text{hold}}$ is the hold time. The maximum clock frequency (rounded off to the nearest integer), at which the given circuit can operate reliably, is _________$\text{MHz}$.
For the components in the sequential circuit shown below, $t_{pd}$ is the propagation delay, $t_{\text{setup}}$ is the setup-time, and $t_{\text{hold}}$ is the hold time....
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1.9k
points
949
views
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asked
Feb 13, 2020
Number Representations
gate2020-ec
numerical-answers
digital-circuits
sequential-circuit
flip-flops
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–
0
votes
0
answers
61
GATE ECE 2020 | Question: 51
For the solid $S$ shown below, the value of $\underset{S}{\iiint} xdxdydz$ (rounded off to two decimal places) is _______________.
For the solid $S$ shown below, the value of $\underset{S}{\iiint} xdxdydz$ (rounded off to two decimal places) is _______________.
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1.9k
points
274
views
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asked
Feb 13, 2020
Calculus
gate2020-ec
numerical-answers
calculus
definite-integrals
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–
0
votes
0
answers
62
GATE ECE 2020 | Question: 52
$X\left ( \omega \right )$ is the Fourier transform of $x(t)$ shown below. The value of $\int_{-\infty }^{\infty }\mid X \left ( \omega \right ) \mid ^{2}d \omega$ (rounded off to two decimal places) is ____________
$X\left ( \omega \right )$ is the Fourier transform of $x(t)$ shown below. The value of $\int_{-\infty }^{\infty }\mid X \left ( \omega \right ) \mid ^{2}d \omega$ (round...
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1.9k
points
121
views
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asked
Feb 13, 2020
Continuous-time Signals
gate2020-ec
numerical-answers
continuous-time-signals
signals-and-systems
fourier-transform
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–
0
votes
0
answers
63
GATE ECE 2020 | Question: 53
The transfer function of a stable discrete-time $\text{LTI}$ system is $H\left ( z \right )=\dfrac{K\left ( z-\alpha \right )}{z+0.5}$, where $K$ and $\alpha$ are real numbers. The value of $\alpha$ (rounded off to one decimal place) with $\mid \alpha \mid > 1$, for which the magnitude response of the system is constant over all frequencies, is ___________.
The transfer function of a stable discrete-time $\text{LTI}$ system is $H\left ( z \right )=\dfrac{K\left ( z-\alpha \right )}{z+0.5}$, where $K$ and $\alpha$ are real nu...
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1.9k
points
133
views
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asked
Feb 13, 2020
Network Solution Methods
gate2020-ec
numerical-answers
network-solution-methods
transfer-function
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–
0
votes
0
answers
64
GATE ECE 2020 | Question: 54
$X$ is a random variable with uniform probability density function in the interval $[-2,\:10]$. For $Y=2X-6$, the conditional probability $P\left ( Y\leq 7\mid X\geq 5 \right )$ (rounded off to three decimal places) is __________.
$X$ is a random variable with uniform probability density function in the interval $[-2,\:10]$. For $Y=2X-6$, the conditional probability $P\left ( Y\leq 7\mid X\geq 5 \r...
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1.9k
points
137
views
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asked
Feb 13, 2020
Probability and Statistics
gate2020-ec
numerical-answers
probability-and-statistics
probability
probability-density-function
uniform-distribution
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–
0
votes
0
answers
65
GATE ECE 2020 | Question: 55
Consider the following closed loop control system where $G\left ( s \right )=\dfrac{1}{s\left ( s+1 \right )}$ and $C\left ( s \right )=K\dfrac{s+1}{s+3}$. If the steady state error for a unit ramp input is $0.1$, then the value of $K$ is ______________.
Consider the following closed loop control systemwhere $G\left ( s \right )=\dfrac{1}{s\left ( s+1 \right )}$ and $C\left ( s \right )=K\dfrac{s+1}{s+3}$. If the steady s...
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1.9k
points
171
views
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asked
Feb 13, 2020
Network Solution Methods
gate2020-ec
numerical-answers
network-solution-methods
steady-state
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