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2001
GATE ECE 2019 | Question: 16
The value of the contour integral $\frac{1}{2\pi j} \oint\left(z+\frac{1}{z}\right)^{2}dz$ evaluated over the unit circle $\mid z \mid=1$ is_______.
The value of the contour integral$$\frac{1}{2\pi j} \oint\left(z+\frac{1}{z}\right)^{2}dz$$evaluated over the unit circle $\mid z \mid=1$ is_______.
Arjun
6.5k
points
134
views
Arjun
asked
Feb 12, 2019
Calculus
gate2019-ec
numerical-answers
calculus
integrals
+
–
0
votes
0
answers
2002
GATE ECE 2019 | Question: 18
If $X$ and $Y$ are random variables such that $E\left[2X+Y\right]=0$ and $E\left[X+2Y\right]=33$, then $E\left[X\right]+E\left[Y\right]=$___________.
If $X$ and $Y$ are random variables such that $E\left[2X+Y\right]=0$ and $E\left[X+2Y\right]=33$, then $E\left[X\right]+E\left[Y\right]=$___________.
Arjun
6.5k
points
134
views
Arjun
asked
Feb 12, 2019
Probability and Statistics
gate2019-ec
numerical-answers
probability-and-statistics
probability
random-variable
expectation
+
–
0
votes
0
answers
2003
GATE ECE 2019 | Question: 19
The value of the integral $ \displaystyle{}\int_{0}^{\pi} \int_{y}^{\pi}\dfrac{\sin x}{x}dx\: dy ,$ is equal to __________.
The value of the integral $ \displaystyle{}\int_{0}^{\pi} \int_{y}^{\pi}\dfrac{\sin x}{x}dx\: dy ,$ is equal to __________.
Arjun
6.5k
points
163
views
Arjun
asked
Feb 12, 2019
Calculus
gate2019-ec
numerical-answers
calculus
definite-integrals
+
–
0
votes
0
answers
2004
GATE ECE 2019 | Question: 20
Let $Z$ be an exponential random variable with mean $1$. That is, the cumulative distribution function of $Z$ is given by $F_{Z}(x)= \left\{\begin{matrix} 1-e^{-x}& \text{if}\: x \geq 0 \\ 0& \text{if}\: x< 0 \end{matrix}\right.$ Then $Pr\left(Z>2 \mid Z>1\right),$ rounded off to two decimal places, is equal to ___________.
Let $Z$ be an exponential random variable with mean $1$. That is, the cumulative distribution function of $Z$ is given by$$F_{Z}(x)= \left\{\begin{matrix} 1-e^{-x}& \text...
Arjun
6.5k
points
229
views
Arjun
asked
Feb 12, 2019
Probability and Statistics
gate2019-ec
numerical-answers
probability-and-statistics
probability
random-variable
+
–
0
votes
0
answers
2005
GATE ECE 2019 | Question: 21
Consider the signal $f(t)=1+2 \cos(\pi t)+3 \sin \left(\dfrac{2\pi}{3}t\right)+4 \cos \left(\dfrac{\pi}{2}t+\dfrac{\pi}{4}\right)$, where $t$ is in seconds. Its fundamental time period, in seconds, is __________.
Consider the signal $f(t)=1+2 \cos(\pi t)+3 \sin \left(\dfrac{2\pi}{3}t\right)+4 \cos \left(\dfrac{\pi}{2}t+\dfrac{\pi}{4}\right)$, where $t$ is in seconds. Its fundament...
Arjun
6.5k
points
162
views
Arjun
asked
Feb 12, 2019
Continuous-time Signals
gate2019-ec
numerical-answers
continuous-time-signals
to-be-tagged
+
–
0
votes
0
answers
2006
GATE ECE 2019 | Question: 22
The baseband signal $m(t)$ shown in the figure is phase-modulated to generate the $PM$ signal $\varphi(t)=\cos(2\pi f_{c}t+ k\:\: m(t)).$ The time $t$ on the $x-$ axis in the figure is in milliseconds. If the ... ratio of the minimum instantaneous frequency (in kHz) to the maximum instantaneous frequency (in kHz) is _________ (rounded off to $2$ decimal places).
The baseband signal $m(t)$ shown in the figure is phase-modulated to generate the $PM$ signal $\varphi(t)=\cos(2\pi f_{c}t+ k\:\: m(t)).$ The time $t$ on the $x-$ axis in...
Arjun
6.5k
points
238
views
Arjun
asked
Feb 12, 2019
Continuous-time Signals
gate2019-ec
numerical-answers
continuous-time-signals
to-be-tagged
+
–
0
votes
0
answers
2007
GATE ECE 2019 | Question: 23
Radiation resistance of a small dipole current element of length $l$ at a frequency of $3$ GHz is $3$ ohms. If the length is changed by $1\%$, then the percentage change in the radiation resistance, rounded off to two decimal places, is ________ $\%.$
Radiation resistance of a small dipole current element of length $l$ at a frequency of $3$ GHz is $3$ ohms. If the length is changed by $1\%$, then the percentage change ...
Arjun
6.5k
points
156
views
Arjun
asked
Feb 12, 2019
Electromagnetics
gate2019-ec
numerical-answers
electromagnetics
radiation-pattern
+
–
0
votes
0
answers
2008
GATE ECE 2019 | Question: 24
In the circuit shown, $V_{s}$ is square wave of period $T$ with maximum and minimum values of $8\: V$ and $-10\: V$, respectively. Assume that the diode is ideal and $R_{1}=R_{2}=50\: \Omega.$ The average value of $V_{L}$ is _______ volts (rounded off to $1$ decimal place).
In the circuit shown, $V_{s}$ is square wave of period $T$ with maximum and minimum values of $8\: V$ and $-10\: V$, respectively. Assume that the diode is ideal and $R_{...
Arjun
6.5k
points
218
views
Arjun
asked
Feb 12, 2019
Electromagnetics
gate2019-ec
numerical-answers
electromagnetics
wave-equation
+
–
0
votes
0
answers
2009
GATE ECE 2019 | Question: 25
In the circuit shown, the clock frequency, i.e., the frequency of the ClK signal, is $12\:kHz$. The frequency of the signal at $Q_{2}$ is _______ kHz.
In the circuit shown, the clock frequency, i.e., the frequency of the ClK signal, is $12\:kHz$. The frequency of the signal at $Q_{2}$ is _______ kHz.
Arjun
6.5k
points
270
views
Arjun
asked
Feb 12, 2019
Continuous-time Signals
gate2019-ec
numerical-answers
continuous-time-signals
to-be-tagged
+
–
0
votes
0
answers
2010
GATE ECE 2019 | Question: 26
Consider a differentiable function $f(x)$ on the set of real numbers, such that $f(-1)=0$ and $ \mid f’(x) \mid \leq 2.$ Given these conditions, which one of the following inequalities is necessarily true for all $x \in[-2,2]?$ $f(x)\leq \frac{1}{2} \mid x+1 \mid$ $f(x)\leq 2 \mid x+1 \mid $ $f(x)\leq \frac{1}{2} \mid x \mid$ $f(x)\leq 2 \mid x \mid$
Consider a differentiable function $f(x)$ on the set of real numbers, such that $f(-1)=0$ and $ \mid f’(x) \mid \leq 2.$ Given these conditions, which one of the follow...
Arjun
6.5k
points
207
views
Arjun
asked
Feb 12, 2019
Calculus
gate2019-ec
calculus
maxima-minima
+
–
0
votes
0
answers
2011
GATE ECE 2019 | Question: 27
Consider the line integral $\int_{c} (xdy-ydx)$ the integral being taken in a counterclockwise direction over the closed curve $C$ that forms the boundary of the region $R$ shown in the figure below. The region $R$ is the area enclosed by the union of a $2 \times 3$ ... circle of radius $1$. The line integral evaluates to $6+ \dfrac{\pi}{2}$ $8+\pi$ $12+\pi$ $16+2\pi$
Consider the line integral$$\int_{c} (xdy-ydx)$$the integral being taken in a counterclockwise direction over the closed curve $C$ that forms the boundary of the region $...
Arjun
6.5k
points
354
views
Arjun
asked
Feb 12, 2019
Calculus
gate2019-ec
integrals
calculus
+
–
0
votes
0
answers
2012
GATE ECE 2019 | Question: 28
Consider a six-point decimation-in-time Fast Fourier Transform $(FFT)$ algorithm, for which the signal-flow graph corresponding to $X[1]$ is shown in the figure. Let $W_{6}=exp\left(-\:\dfrac{j2\pi}{6}\right).$ In the figure, what should be the values of the coefficients $a_{1},a_{2},a_{3}$ ... $a_{1}=1,a_{2}=W_{6},a_{3}=W_{6}^{2}$ $a_{1}=-1,a_{2}=W_{6}^{2},a_{3}=W_{6}$
Consider a six-point decimation-in-time Fast Fourier Transform $(FFT)$ algorithm, for which the signal-flow graph corresponding to $X $ is shown in the figure. Let $W_{6}...
Arjun
6.5k
points
477
views
Arjun
asked
Feb 12, 2019
Continuous-time Signals
gate2019-ec
continuous-time-signals
signals-and-systems
fourier-transform
+
–
0
votes
0
answers
2013
GATE ECE 2019 | Question: 29
It is desired to find a three-tap casual filter which gives zero signal as an output to an input of the form $x[n]= c_{1}exp\left(-\dfrac{j\pi n}{2}\right)+c_{2}\left(\dfrac{j\pi n}{2}\right),$ where $c_{1}$ and $c_{2}$ are arbitrary real numbers. The desired three-tap filter is ... $n$, when $x[n]$ is as given above ? $a=1,b=1$ $a=0,b=-1$ $a=-1,b=1$ $a=0,b=1$
It is desired to find a three-tap casual filter which gives zero signal as an output to an input of the form$$x[n]= c_{1}exp\left(-\dfrac{j\pi n}{2}\right)+c_{2}\left(\df...
Arjun
6.5k
points
217
views
Arjun
asked
Feb 12, 2019
Control Systems
gate2019-ec
control-systems
+
–
0
votes
0
answers
2014
GATE ECE 2019 | Question: 30
In the circuit shown, if $v(t)=2 \sin(1000\: t)$ volts, $R=1\:k \Omega$ and $C=1\:\mu F,$ then the steady-state current $i(t)$, milliamperes (mA), is $\sin(1000\: t)+ \cos(1000\: t)$ $2 \sin(1000\: t) +2 \cos(1000\: t)$ $3 \sin(1000\: t) + \cos(1000\: t)$ $\sin(1000\: t) +3 \cos(1000\: t)$
In the circuit shown, if $v(t)=2 \sin(1000\: t)$ volts, $R=1\:k \Omega$ and $C=1\:\mu F,$ then the steady-state current $i(t)$, milliamperes (mA), is$\sin(1000\: t)+ \cos...
Arjun
6.5k
points
184
views
Arjun
asked
Feb 12, 2019
Network Solution Methods
gate2019-ec
network-solution-methods
steady-state
+
–
0
votes
0
answers
2015
GATE ECE 2019 | Question: 31
Consider a causal second-order system with the transfer function $G(s)=\dfrac{1}{1+2s+s^{2}}$ with a unit-step $R(s)=\dfrac{1}{s}$ as an input. Let $C(s)$ be the corresponding output. The time taken by the system output $c(t)$ to reach $94\%$ of its ... value $\underset{t\rightarrow \infty}{\lim}\:c(t),$ rounded off to two decimal places, is $5.25$ $4.50$ $3.89$ $2.81$
Consider a causal second-order system with the transfer function$$G(s)=\dfrac{1}{1+2s+s^{2}}$$with a unit-step $R(s)=\dfrac{1}{s}$ as an input. Let $C(s)$ be the correspo...
Arjun
6.5k
points
237
views
Arjun
asked
Feb 12, 2019
Network Solution Methods
gate2019-ec
network-solution-methods
transfer-function
+
–
0
votes
0
answers
2016
GATE ECE 2019 | Question: 32
The block diagram of a system is illustrated in the figure shown, where $X(s)$ is the input and $Y(s)$ is the output. The transfer function $H(s)=\dfrac{Y(s)}{X(s)}$ is $H(s)=\frac{s^{2}+1}{s^{3}+s^{2}+s+1}$ $H(s)=\frac{s^{2}+1}{s^{3}+2s^{2}+s+1}$ $H(s)=\frac{s+1}{s^{2}+s+1}$ $H(s)=\frac{s^{2}+1}{2s^{2}+1}$
The block diagram of a system is illustrated in the figure shown, where $X(s)$ is the input and $Y(s)$ is the output. The transfer function $H(s)=\dfrac{Y(s)}{X(s)}$ is$H...
Arjun
6.5k
points
121
views
Arjun
asked
Feb 12, 2019
Network Solution Methods
gate2019-ec
network-solution-methods
transfer-function
+
–
0
votes
0
answers
2017
GATE ECE 2019 | Question: 33
Let the state-space representation of an LTI system be $x(t)=A x(t)+B u(t), y(t)=Cx(t)+du(t)$ where $A,B,C$ are matrices, $d$ is a scalar, $u(t)$ is the input to the system, and $y(t)$ ...
Let the state-space representation of an LTI system be $x(t)=A x(t)+B u(t), y(t)=Cx(t)+du(t)$ where $A,B,C$ are matrices, $d$ is a scalar, $u(t)$ is the input to the syst...
Arjun
6.5k
points
186
views
Arjun
asked
Feb 12, 2019
Continuous-time Signals
gate2019-ec
continuous-time-signals
signals-and-systems
linear-time-invariant-systems
+
–
0
votes
0
answers
2018
GATE ECE 2019 | Question: 34
A single bit, equally likely to be $0$ and $1$, is to be sent across an additive white Gaussian noise (AWGN) channel with power spectral density $N_{0}/2.$ Binary signaling with $0 \mapsto p(t),$ and $1 \mapsto q(t),$ is used for the transmission, along with ... $E$ would we obtain the $\textbf{same}$ bit-error probability $P_{b}$? $0$ $1$ $2$ $3$
A single bit, equally likely to be $0$ and $1$, is to be sent across an additive white Gaussian noise (AWGN) channel with power spectral density $N_{0}/2.$ Binary signali...
Arjun
6.5k
points
141
views
Arjun
asked
Feb 12, 2019
Communications
gate2019-ec
gaussian-noise
autocorrelation-and-power-spectral-density
communications
+
–
0
votes
0
answers
2019
GATE ECE 2019 | Question: 35
The quantum efficiency $(\eta)$ and responsivity $(R)$ at wavelength $\lambda \:(\text{in}\: \mu m)$ in a p-i-n photodetector are related by $R= \frac{\eta \times \lambda}{1.24}$ $R= \frac{\lambda}{\eta \times 1.24}$ $R= \frac{1.24 \times\lambda}{\eta}$ $R= \frac{1.24}{\eta \times \lambda}$
The quantum efficiency $(\eta)$ and responsivity $(R)$ at wavelength $\lambda \:(\text{in}\: \mu m)$ in a p-i-n photodetector are related by$R= \frac{\eta \times \lambda}...
Arjun
6.5k
points
118
views
Arjun
asked
Feb 12, 2019
Electronic Devices
gate2019-ec
electronic-devices
+
–
0
votes
0
answers
2020
GATE ECE 2019 | Question: 36
Two identical copper wires $W1$ and $W2$ placed in parallel as shown in the figure, carry currents $I$ and $2I$, respectively, in opposite directions. If the two wires are separated by a distance of $4r$, then the magnitude of the magnetic field $\overrightarrow{B}$ between the wires at a ... $\frac{5\mu_{0}I}{6\pi r}$ $\frac{\mu_{0}^{2}I^{2}}{2\pi r^{2}}$
Two identical copper wires $W1$ and $W2$ placed in parallel as shown in the figure, carry currents $I$ and $2I$, respectively, in opposite directions. If the two wires ar...
Arjun
6.5k
points
104
views
Arjun
asked
Feb 12, 2019
Electronic Devices
gate2019-ec
electronic-devices
+
–
0
votes
0
answers
2021
GATE ECE 2019 | Question: 37
The dispersion equation of a waveguide, which relates the wavenumber $k$ to the frequency $\omega$ is $k(\omega)= (1/c) \sqrt{\omega^{2}-\omega_{\circ}^{2}}$ where the speed of light $c= 2 \times 10^{8}\: m/s$ and $\omega_{\circ}$ ... $2 \times 10^{8}\: m/s$ $3 \times 10^{8}\: m/s$ $4.5 \times 10^{8}\: m/s$
The dispersion equation of a waveguide, which relates the wavenumber $k$ to the frequency $\omega$ is$$k(\omega)= (1/c) \sqrt{\omega^{2}-\omega_{\circ}^{2}}$$where the sp...
Arjun
6.5k
points
155
views
Arjun
asked
Feb 12, 2019
Electromagnetics
gate2019-ec
electromagnetics
waveguides
+
–
0
votes
0
answers
2022
GATE ECE 2019 | Question: 38
In the circuit shown, the breakdown voltage and the maximum current of the Zener diode are $20\:V$ and $60\:mA$, respectively. The values of $R_{1}$ and $R_{L}$ are $200\: \Omega$ and $1\:k\Omega,$ respectively. What is the range of $V_{i}$ that will maintain the Zener diode in the on' ... $34\: V$ $24\: V$ to $36\: V$ $18\: V$ to $24\: V$ $20\: V$ to $28\: V$
In the circuit shown, the breakdown voltage and the maximum current of the Zener diode are $20\:V$ and $60\:mA$, respectively. The values of $R_{1}$ and $R_{L}$ are $200\...
Arjun
6.5k
points
134
views
Arjun
asked
Feb 12, 2019
Electronic Devices
gate2019-ec
electronic-devices
zener-diode
+
–
0
votes
0
answers
2023
GATE ECE 2019 | Question: 39
The state transition diagram for the circuit shown is
The state transition diagram for the circuit shown is
Arjun
6.5k
points
181
views
Arjun
asked
Feb 12, 2019
Control Systems
gate2019-ec
state-transition-diagram
control-systems
+
–
0
votes
0
answers
2024
GATE ECE 2019 | Question: 40
In the circuits shown the threshold voltage of each $\text{nMOS}$ transistor is $0.6\:V.$ Ignoring the effect of channel length modulation and body bias. the values of $\text{Vout}1$ and $\text{Vout} 2,$ respectively, in volts, are $1.8$ and $1.2$ $2.4$ and $2.4$ $1.8$ and $2.4$ $2.4$ and $1.2$
In the circuits shown the threshold voltage of each $\text{nMOS}$ transistor is $0.6\:V.$ Ignoring the effect of channel length modulation and body bias. the values of $\...
Arjun
6.5k
points
211
views
Arjun
asked
Feb 12, 2019
Analog Circuits
gate2019-ec
analog-circuits
nmos-transistor
+
–
0
votes
0
answers
2025
GATE ECE 2019 | Question: 41
The $\text{RC}$ circuit shown below has a variable resistance $R(t)$ given by the following expression: $R(t)=R_{0}\left(1-\frac{t}{T}\right) \text{for} \:\: 0 \leq t < T$ where $R_{0}=1\: \Omega,$ and $C=1\:F.$ ... $t=0$ is $1\: A,$ then the current $I(t)$, in amperes, at time $t=T/2$ is __________ (rounded off to $2$ decimal places).
The $\text{RC}$ circuit shown below has a variable resistance $R(t)$ given by the following expression:$$R(t)=R_{0}\left(1-\frac{t}{T}\right) \text{for} \:\: 0 \leq t < T...
Arjun
6.5k
points
237
views
Arjun
asked
Feb 12, 2019
Electronic Devices
gate2019-ec
numerical-answers
electronic-devices
carrier-transport
+
–
0
votes
0
answers
2026
GATE ECE 2019 | Question: 42
Consider a unity feedback system, as in the figure shown, with an integral compensator $\dfrac{K}{s}$ and open-loop transfer function $G(s)=\dfrac{1}{s^{2}+3s+2}$ where $K>0.$ The positive value of $K$ for which there are exactly two poles of the unity feedback system on the $j\omega$ axis is equal to ________ (rounded off to two decimal places).
Consider a unity feedback system, as in the figure shown, with an integral compensator $\dfrac{K}{s}$ and open-loop transfer function$$G(s)=\dfrac{1}{s^{2}+3s+2}$$where $...
Arjun
6.5k
points
114
views
Arjun
asked
Feb 12, 2019
Network Solution Methods
gate2019-ec
numerical-answers
feedback-systems
network-solution-methods
+
–
0
votes
0
answers
2027
GATE ECE 2019 | Question: 43
Consider the homogenous ordinary differential equation $x^{2}\frac{d^{2}y}{dx^{2}}-3x\frac{dy}{dx}+3y=0, \quad x>0$ with $y(x)$ as a general solution. Given that $y(1)=1 \quad \text{and} \quad y(2)=14$ the value of $y(1.5),$ rounded off to two decimal places, is________.
Consider the homogenous ordinary differential equation$$x^{2}\frac{d^{2}y}{dx^{2}}-3x\frac{dy}{dx}+3y=0, \quad x>0$$with $y(x)$ as a general solution. Given that$$y(1)=1 ...
Arjun
6.5k
points
146
views
Arjun
asked
Feb 12, 2019
Differential Equations
gate2019-ec
numerical-answers
differential-equations
engineering-mathematics
+
–
1
votes
0
answers
2028
GATE ECE 2019 | Question: 44
Let $h[n]$ be a length - $7$ discrete-time finite impulse response filter, given by $h[0]=4, \quad h[1]=3,\quad h[2]=2,\quad h[3]=1,$ $\quad h[-1]=-3, \quad h[-2]=-2, \quad h[-3]=-1,$ and $h[n]$ is zero for $|n|\geq4.$ A ... and $g[n],$ respectively. For the filter that minimizes $E(h,g),$ the value of $10g[-1]+g[1],$ rounded off to $2$ decimal places, is __________.
Let $h[n]$ be a length – $7$ discrete-time finite impulse response filter, given by$$h[0]=4, \quad h =3,\quad h =2,\quad h[3]=1,$$$$\quad h[-1]=-3, \quad h[-2]=-2, \qua...
Arjun
6.5k
points
169
views
Arjun
asked
Feb 12, 2019
Continuous-time Signals
gate2019-ec
numerical-answers
continuous-time-signals
impulse-response
+
–
0
votes
0
answers
2029
GATE ECE 2019 | Question: 45
Let a random process $Y(t)$ be described as $Y(t)=h(t) \ast X(t)+Z(t),$ where $X(t)$ is a white noise process with power spectral density $S_{x}(f)=5$W/Hz. The filter $h(t)$ ... power spectral density as shown in the figure. The power in $Y(t),$ in watts, is equal to _________ $W$ (rounded off to two decimal places).
Let a random process $Y(t)$ be described as $Y(t)=h(t) \ast X(t)+Z(t),$ where $X(t)$ is a white noise process with power spectral density $S_{x}(f)=5$W/Hz. The filter $h(...
Arjun
6.5k
points
109
views
Arjun
asked
Feb 12, 2019
Communications
gate2019-ec
numerical-answers
communications
autocorrelation-and-power-spectral-density
+
–
0
votes
0
answers
2030
GATE ECE 2019 | Question: 46
A voice signal $m(t)$ is in the frequency range $5\:kHz$ to $15\:kHz$. The signal is amplitude-modulated to generated an AM signal $f(t)=A\left(1+m(t)\right)\cos 2\pi f_{c}t,$ where $f_{c}=600\: kHz.$ ... for the encoding. The rate, in Megabits per second (rounded off to $2$ decimal places), of the resulting stream of coded bits is ________ Mbps.
A voice signal $m(t)$ is in the frequency range $5\:kHz$ to $15\:kHz$. The signal is amplitude-modulated to generated an AM signal $f(t)=A\left(1+m(t)\right)\cos 2\pi f_{...
Arjun
6.5k
points
175
views
Arjun
asked
Feb 12, 2019
Communications
gate2019-ec
numerical-answers
communications
amplitude-modulation
+
–
0
votes
0
answers
2031
GATE ECE 2019 | Question: 47
A random variable $X$ takes values $-1$ and $+1$ with probabilities $0.2$ and $0.8$, respectively. It is transmitted across a channel which adds noise $N,$ so that the random variable at the channel output is $Y=X+N$. The noise $N$ is ... probability of error $Pr[ \hat{X} \neq X].$ The minimum probability of error, rounded off to $1$ decimal place, is _________.
A random variable $X$ takes values $-1$ and $+1$ with probabilities $0.2$ and $0.8$, respectively. It is transmitted across a channel which adds noise $N,$ so that the ra...
Arjun
6.5k
points
177
views
Arjun
asked
Feb 12, 2019
Probability and Statistics
gate2019-ec
numerical-answers
probability-and-statistics
probability
random-variable
uniform-distribution
+
–
0
votes
0
answers
2032
GATE ECE 2019 | Question: 48
A Germanium sample of dimensions $1\: cm \times 1\: cm$ is illuminated with a $20\:mW,$ $600\: nm$ laser light source as shown in the figure. The illuminated sample surface has a $100\: nm$ of loss-less Silicon dioxide layer that reflects one-fourth ... bandgap is $0.66\: eV,$ the thickness of the Germanium layer, rounded off to $3$ decimal places, is ________ $\mu m.$
A Germanium sample of dimensions $1\: cm \times 1\: cm$ is illuminated with a $20\:mW,$ $600\: nm$ laser light source as shown in the figure. The illuminated sample surfa...
Arjun
6.5k
points
178
views
Arjun
asked
Feb 12, 2019
Electromagnetics
gate2019-ec
numerical-answers
electromagnetics
+
–
0
votes
0
answers
2033
GATE ECE 2019 | Question: 49
In an ideal $pn$ junction with an ideality factor of $1$ at $T=300\:K,$ the magnitude of the reverse-bias voltage required to reach $75\%$ of its reverse saturation current, rounded off to $2$ decimal places, is ______ $mV.$ $[k=1.38 \times 10^{-23} JK^{-1}, h=6.625 \times 10^{-34} J-s, q=1.602 \times 10^{-19}C]$
In an ideal $pn$ junction with an ideality factor of $1$ at $T=300\:K,$ the magnitude of the reverse-bias voltage required to reach $75\%$ of its reverse saturation curre...
Arjun
6.5k
points
196
views
Arjun
asked
Feb 12, 2019
Electronic Devices
gate2019-ec
numerical-answers
electronic-devices
p-n-junction
+
–
0
votes
0
answers
2034
GATE ECE 2019 | Question: 50
Consider a long-channel MOSFET with a channel length $1\:\mu m$ and width $10\: \mu m.$ The device parameters are acceptor concentration $N_{A}=5 \times 10^{16}\: cm^{-3},$ electron mobility $\mu_{n}=800\: cm^{2}/V-s,$ ... _______ $mA$ (rounded off to two decimal places.). $[\varepsilon_{0}=8.854 \times 10^{-14}F/cm, \varepsilon_{si} =11.9]$
Consider a long-channel MOSFET with a channel length $1\:\mu m$ and width $10\: \mu m.$ The device parameters are acceptor concentration $N_{A}=5 \times 10^{16}\: cm^{-3}...
Arjun
6.5k
points
110
views
Arjun
asked
Feb 12, 2019
Electronic Devices
gate2019-ec
numerical-answers
electronic-devices
mosfet
+
–
0
votes
0
answers
2035
GATE ECE 2019 | Question: 51
A rectangular waveguide of width $w$ and height $h$ has cut-off frequencies for $TE_{10}$ and $TE_{11}$ modes in the ration $1:2$ . The aspect ratio $w/h$, rounded off to two decimal places , is _______.
A rectangular waveguide of width $w$ and height $h$ has cut-off frequencies for $TE_{10}$ and $TE_{11}$ modes in the ration $1:2$ . The aspect ratio $w/h$, rounded off to...
Arjun
6.5k
points
157
views
Arjun
asked
Feb 12, 2019
Electromagnetics
gate2019-ec
numerical-answers
electromagnetics
waveguides
+
–
0
votes
0
answers
2036
GATE ECE 2019 | Question: 52
In the circuit shown. $V_{s}$ is a $10\:V$ square wave of period, $T=4\: ms$ with $R=500\: \Omega$ and $C= 10\:\mu F.$ The capacitor is initially uncharged at $t=0,$ and the diode is assumed to be ideal. The voltage across the capacitor $(V_{c})$ at $3\:ms$ is equal to _____ volts (rounded off to one decimal place)
In the circuit shown. $V_{s}$ is a $10\:V$ square wave of period, $T=4\: ms$ with $R=500\: \Omega$ and $C= 10\:\mu F.$ The capacitor is initially uncharged at $t=0,$ and ...
Arjun
6.5k
points
153
views
Arjun
asked
Feb 12, 2019
Electronic Devices
gate2019-ec
numerical-answers
electronic-devices
+
–
0
votes
0
answers
2037
GATE ECE 2019 | Question: 53
A CMOS inverter, designed to have a mid-point voltage $V_{1}$ equal to half of $V_{dd}.$ as shown in the figure, has the following parameters: $V_{dd}=3V$ $\mu_{n} C_{ox}=100\: \mu A/V^{2}; V_{tn}=0.7\:V $ for $\text{nMOS}$ ... of $\left(\frac{W}{L}\right)_{n}$ to $\left(\frac{W}{L}\right)_{p}$ is equal to _______ (rounded off to $3$ decimal places).
A CMOS inverter, designed to have a mid-point voltage $V_{1}$ equal to half of $V_{dd}.$ as shown in the figure, has the following parameters:$V_{dd}=3V$$\mu_{n} C_{ox}=1...
Arjun
6.5k
points
92
views
Arjun
asked
Feb 12, 2019
Electronic Devices
gate2019-ec
numerical-answers
electronic-devices
cmos
+
–
0
votes
0
answers
2038
GATE ECE 2019 | Question: 54
In the circuit shown, the threshold voltages of the $pMOS\:\: (|V_{tp}|)$ and $nMOS\:\: (V_{tn})$ transistors are both equal to $1\:V.$ All the transistors have the same output resistance $r_{ds}$ of $6\:M\Omega.$ The other ... area. Ignoring the effect of channel length modulation and body bias, the gain of the circuit is ______ (rounded off to $1$ decimal place).
In the circuit shown, the threshold voltages of the $pMOS\:\: (|V_{tp}|)$ and $nMOS\:\: (V_{tn})$ transistors are both equal to $1\:V.$ All the transistors have the same ...
Arjun
6.5k
points
81
views
Arjun
asked
Feb 12, 2019
Electronic Devices
gate2019-ec
numerical-answers
electronic-devices
+
–
0
votes
0
answers
2039
GATE ECE 2019 | Question: 55
In the circuit shown, $V_{1}=0$ and $V_{2}=V_{dd}.$ The other relevant parameters are mentioned in the figure. Ignoring the effect of channel length modulation and the body effect, the value of $I_{out}$ is _________ $mA$ (rounded off to $1$ decimal place).
In the circuit shown, $V_{1}=0$ and $V_{2}=V_{dd}.$ The other relevant parameters are mentioned in the figure. Ignoring the effect of channel length modulation and the bo...
Arjun
6.5k
points
97
views
Arjun
asked
Feb 12, 2019
Communications
gate2019-ec
numerical-answers
communications
modulations
+
–
0
votes
0
answers
2040
homogenous diff. eq. with I.F. 1/Mx+Ny
please solve $\left ( 2x-y \right )e^{\frac{y}{x}}dx+\left ( y+xe^{\frac{y}{x}} \right )dy$
please solve$\left ( 2x-y \right )e^{\frac{y}{x}}dx+\left ( y+xe^{\frac{y}{x}} \right )dy$
ashutoshsharma
120
points
87
views
ashutoshsharma
asked
Dec 1, 2018
Others
de
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