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2081
GATE ECE 2019 | Question: 8
Which one of the following options describes correctly the equilibrium band diagram at $T=300\:K$ of a Silicon $pnn^{+}\:\:p^{++}$ configuration shown in the figure?
Which one of the following options describes correctly the equilibrium band diagram at $T=300\:K$ of a Silicon $pnn^{+}\:\:p^{++}$ configuration shown in the figure?
Arjun
6.6k
points
190
views
Arjun
asked
Feb 12, 2019
Electronic Devices
gate2019-ec
electronic-devices
silicon
+
–
0
votes
0
answers
2082
GATE ECE 2019 | Question: 9
The correct circuit representation of the structure shown in the figure is
The correct circuit representation of the structure shown in the figure is
Arjun
6.6k
points
333
views
Arjun
asked
Feb 12, 2019
Electronic Devices
gate2019-ec
electronic-devices
+
–
0
votes
0
answers
2083
GATE ECE 2019 | Question: 10
The figure shows the high-frequency C-V curve of a MOS capacitor $(\text{at}\: T=300\: K)$ with $\Phi_{ms}= 0\: V$ and no oxide charges. The flat-band, inversion, and accumulation conditions are represented, respectively, by the points $P,Q,R$ $Q,R,P$ $R,P,Q$ $Q,P,R$
The figure shows the high-frequency C-V curve of a MOS capacitor $(\text{at}\: T=300\: K)$ with $\Phi_{ms}= 0\: V$ and no oxide charges. The flat-band, inversion, and acc...
Arjun
6.6k
points
235
views
Arjun
asked
Feb 12, 2019
Electronic Devices
gate2019-ec
electronic-devices
mos-capacitor
+
–
0
votes
0
answers
2084
GATE ECE 2019 | Question: 11
What is the electric flux $\left(\int \vec{E}.d \hat{a}\right)$ through a quarter-cylinder of height $H$ (as shown in the figure) due to an infinitely long line charge along the axis of the cylinder with a charge density of $Q?$ $\frac{HQ}{\varepsilon_{0}}$ $\frac{HQ}{4\varepsilon_{0}}$ $\frac{H\varepsilon_{0}}{4Q}$ $\frac{4H}{Q\varepsilon_{0}}$
What is the electric flux $\left(\int \vec{E}.d \hat{a}\right)$ through a quarter-cylinder of height $H$ (as shown in the figure) due to an infinitely long line charge al...
Arjun
6.6k
points
507
views
Arjun
asked
Feb 12, 2019
Electronic Devices
gate2019-ec
electronic-devices
+
–
0
votes
0
answers
2085
GATE ECE 2019 | Question: 12
In the table shown, List I and List II, respectively, contain terms appearing on the left-hand side and the right-hand side of Maxwell's equations (in their standard form). Match the left-hand side with the corresponding right-hand side. ... $1-Q,2-R,3-P,4-S$ $1-Q,2-S,3-P,4-R$ $1-R,2-Q,3-S,4-P$
In the table shown, List I and List II, respectively, contain terms appearing on the left-hand side and the right-hand side of Maxwell’s equations (in their standard fo...
Arjun
6.6k
points
164
views
Arjun
asked
Feb 12, 2019
Electromagnetics
gate2019-ec
electromagnetics
maxwell's-equations
+
–
0
votes
0
answers
2086
GATE ECE 2019 | Question: 13
A standard CMOS inverter is designed with equal rise and fall times $(\beta_{n}=\beta_{p}).$ If the width of the pMOS transistor in the inverter is increased, what would be the effect on the LOW noise margin $NM_{L}$ and the HIGH noise margin $NM_{H}$? ... . $NM_{L}$ decreases and $NM_{H}$ increases. Both $NM_{L}$ and $NM_{H}$ increases. No change in the noise margins.
A standard CMOS inverter is designed with equal rise and fall times $(\beta_{n}=\beta_{p}).$ If the width of the pMOS transistor in the inverter is increased, what would ...
Arjun
6.6k
points
238
views
Arjun
asked
Feb 12, 2019
Electronic Devices
gate2019-ec
electronic-devices
cmos
+
–
0
votes
0
answers
2087
GATE ECE 2019 | Question: 14
In the circuit shown, what are the values of $F$ for $EN=0$ and $EN=1,$ respectively? $\text{0 and D}$ $\text{Hi-Z and D}$ $\text{0 and 1}$ $\text{Hi-Z and}$ $ \overline{D}$
In the circuit shown, what are the values of $F$ for $EN=0$ and $EN=1,$ respectively?$\text{0 and D}$$\text{Hi-Z and D}$$\text{0 and 1}$$\text{Hi-Z and}$ $ \overline{D}$
Arjun
6.6k
points
174
views
Arjun
asked
Feb 12, 2019
Digital Circuits
gate2019-ec
digital-circuits
logic-gates
+
–
0
votes
0
answers
2088
GATE ECE 2019 | Question: 15
In the circuit shown, $A$ and $B$ are the inputs and $F$ is the output. What is the functionality of the circuit? Latch XNOR SRAM Cell XOR
In the circuit shown, $A$ and $B$ are the inputs and $F$ is the output. What is the functionality of the circuit?LatchXNORSRAM CellXOR
Arjun
6.6k
points
184
views
Arjun
asked
Feb 12, 2019
Digital Circuits
gate2019-ec
digital-circuits
logic-gates
+
–
0
votes
0
answers
2089
GATE ECE 2019 | Question: 16
The value of the contour integral $\frac{1}{2\pi j} \oint\left(z+\frac{1}{z}\right)^{2}dz$ evaluated over the unit circle $\mid z \mid=1$ is_______.
The value of the contour integral$$\frac{1}{2\pi j} \oint\left(z+\frac{1}{z}\right)^{2}dz$$evaluated over the unit circle $\mid z \mid=1$ is_______.
Arjun
6.6k
points
148
views
Arjun
asked
Feb 12, 2019
Calculus
gate2019-ec
numerical-answers
calculus
integrals
+
–
0
votes
1
answer
2090
GATE ECE 2019 | Question: 17
The number of distinct eigenvalues of the matrix $A=\begin{bmatrix} 2&2&3&3\\0&1&1&1\\0&0&3&3\\0&0&0&2 \end{bmatrix}$ is equal to ____________.
The number of distinct eigenvalues of the matrix$$A=\begin{bmatrix} 2&2&3&3\\0&1&1&1\\0&0&3&3\\0&0&0&2 \end{bmatrix}$$is equal to ____________.
Arjun
6.6k
points
226
views
Arjun
asked
Feb 12, 2019
Linear Algebra
gate2019-ec
numerical-answers
linear-algebra
matrices
eigen-values
+
–
0
votes
0
answers
2091
GATE ECE 2019 | Question: 18
If $X$ and $Y$ are random variables such that $E\left[2X+Y\right]=0$ and $E\left[X+2Y\right]=33$, then $E\left[X\right]+E\left[Y\right]=$___________.
If $X$ and $Y$ are random variables such that $E\left[2X+Y\right]=0$ and $E\left[X+2Y\right]=33$, then $E\left[X\right]+E\left[Y\right]=$___________.
Arjun
6.6k
points
149
views
Arjun
asked
Feb 12, 2019
Probability and Statistics
gate2019-ec
numerical-answers
probability-and-statistics
probability
random-variable
expectation
+
–
0
votes
0
answers
2092
GATE ECE 2019 | Question: 19
The value of the integral $ \displaystyle{}\int_{0}^{\pi} \int_{y}^{\pi}\dfrac{\sin x}{x}dx\: dy ,$ is equal to __________.
The value of the integral $ \displaystyle{}\int_{0}^{\pi} \int_{y}^{\pi}\dfrac{\sin x}{x}dx\: dy ,$ is equal to __________.
Arjun
6.6k
points
175
views
Arjun
asked
Feb 12, 2019
Calculus
gate2019-ec
numerical-answers
calculus
definite-integrals
+
–
0
votes
0
answers
2093
GATE ECE 2019 | Question: 20
Let $Z$ be an exponential random variable with mean $1$. That is, the cumulative distribution function of $Z$ is given by $F_{Z}(x)= \left\{\begin{matrix} 1-e^{-x}& \text{if}\: x \geq 0 \\ 0& \text{if}\: x< 0 \end{matrix}\right.$ Then $Pr\left(Z>2 \mid Z>1\right),$ rounded off to two decimal places, is equal to ___________.
Let $Z$ be an exponential random variable with mean $1$. That is, the cumulative distribution function of $Z$ is given by$$F_{Z}(x)= \left\{\begin{matrix} 1-e^{-x}& \text...
Arjun
6.6k
points
235
views
Arjun
asked
Feb 12, 2019
Probability and Statistics
gate2019-ec
numerical-answers
probability-and-statistics
probability
random-variable
+
–
0
votes
0
answers
2094
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
6.6k
points
168
views
Arjun
asked
Feb 12, 2019
Continuous-time Signals
gate2019-ec
numerical-answers
continuous-time-signals
to-be-tagged
+
–
0
votes
0
answers
2095
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
6.6k
points
251
views
Arjun
asked
Feb 12, 2019
Continuous-time Signals
gate2019-ec
numerical-answers
continuous-time-signals
to-be-tagged
+
–
0
votes
0
answers
2096
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
6.6k
points
173
views
Arjun
asked
Feb 12, 2019
Electromagnetics
gate2019-ec
numerical-answers
electromagnetics
radiation-pattern
+
–
0
votes
0
answers
2097
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
6.6k
points
230
views
Arjun
asked
Feb 12, 2019
Electromagnetics
gate2019-ec
numerical-answers
electromagnetics
wave-equation
+
–
0
votes
0
answers
2098
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
6.6k
points
289
views
Arjun
asked
Feb 12, 2019
Continuous-time Signals
gate2019-ec
numerical-answers
continuous-time-signals
to-be-tagged
+
–
0
votes
0
answers
2099
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
6.6k
points
217
views
Arjun
asked
Feb 12, 2019
Calculus
gate2019-ec
calculus
maxima-minima
+
–
0
votes
0
answers
2100
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
6.6k
points
371
views
Arjun
asked
Feb 12, 2019
Calculus
gate2019-ec
integrals
calculus
+
–
0
votes
0
answers
2101
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
6.6k
points
496
views
Arjun
asked
Feb 12, 2019
Continuous-time Signals
gate2019-ec
continuous-time-signals
signals-and-systems
fourier-transform
+
–
0
votes
0
answers
2102
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$$x[n]= c_{1}exp\left(-\dfrac{j\pi n}{2}\right)+c_{2}\left(\df...
Arjun
6.6k
points
221
views
Arjun
asked
Feb 12, 2019
Control Systems
gate2019-ec
control-systems
+
–
0
votes
0
answers
2103
GATE ECE 2019 | Question: 30
In the circuit shown, if $v(t)=2 \sin(1000\: t)$ volts, $R=1\:k \Omega$ and $C=1\:\mu F,$ then the steady-state current $i(t)$, milliamperes (mA), is $\sin(1000\: t)+ \cos(1000\: t)$ $2 \sin(1000\: t) +2 \cos(1000\: t)$ $3 \sin(1000\: t) + \cos(1000\: t)$ $\sin(1000\: t) +3 \cos(1000\: t)$
In the circuit shown, if $v(t)=2 \sin(1000\: t)$ volts, $R=1\:k \Omega$ and $C=1\:\mu F,$ then the steady-state current $i(t)$, milliamperes (mA), is$\sin(1000\: t)+ \cos...
Arjun
6.6k
points
194
views
Arjun
asked
Feb 12, 2019
Network Solution Methods
gate2019-ec
network-solution-methods
steady-state
+
–
0
votes
0
answers
2104
GATE ECE 2019 | Question: 31
Consider a causal second-order system with the transfer function $G(s)=\dfrac{1}{1+2s+s^{2}}$ with a unit-step $R(s)=\dfrac{1}{s}$ as an input. Let $C(s)$ be the corresponding output. The time taken by the system output $c(t)$ to reach $94\%$ of its ... value $\underset{t\rightarrow \infty}{\lim}\:c(t),$ rounded off to two decimal places, is $5.25$ $4.50$ $3.89$ $2.81$
Consider a causal second-order system with the transfer function$$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
6.6k
points
249
views
Arjun
asked
Feb 12, 2019
Network Solution Methods
gate2019-ec
network-solution-methods
transfer-function
+
–
0
votes
0
answers
2105
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
6.6k
points
125
views
Arjun
asked
Feb 12, 2019
Network Solution Methods
gate2019-ec
network-solution-methods
transfer-function
+
–
0
votes
0
answers
2106
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
6.6k
points
191
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
2107
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
6.6k
points
146
views
Arjun
asked
Feb 12, 2019
Communications
gate2019-ec
gaussian-noise
autocorrelation-and-power-spectral-density
communications
+
–
0
votes
0
answers
2108
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
6.6k
points
133
views
Arjun
asked
Feb 12, 2019
Electronic Devices
gate2019-ec
electronic-devices
+
–
0
votes
0
answers
2109
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
6.6k
points
110
views
Arjun
asked
Feb 12, 2019
Electronic Devices
gate2019-ec
electronic-devices
+
–
0
votes
0
answers
2110
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
6.6k
points
163
views
Arjun
asked
Feb 12, 2019
Electromagnetics
gate2019-ec
electromagnetics
waveguides
+
–
0
votes
0
answers
2111
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
6.6k
points
151
views
Arjun
asked
Feb 12, 2019
Electronic Devices
gate2019-ec
electronic-devices
zener-diode
+
–
0
votes
0
answers
2112
GATE ECE 2019 | Question: 39
The state transition diagram for the circuit shown is
The state transition diagram for the circuit shown is
Arjun
6.6k
points
202
views
Arjun
asked
Feb 12, 2019
Control Systems
gate2019-ec
state-transition-diagram
control-systems
+
–
0
votes
0
answers
2113
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
6.6k
points
221
views
Arjun
asked
Feb 12, 2019
Analog Circuits
gate2019-ec
analog-circuits
nmos-transistor
+
–
0
votes
0
answers
2114
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
6.6k
points
245
views
Arjun
asked
Feb 12, 2019
Electronic Devices
gate2019-ec
numerical-answers
electronic-devices
carrier-transport
+
–
0
votes
0
answers
2115
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
6.6k
points
120
views
Arjun
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Feb 12, 2019
Network Solution Methods
gate2019-ec
numerical-answers
feedback-systems
network-solution-methods
+
–
0
votes
0
answers
2116
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$$y(1)=1 ...
Arjun
6.6k
points
152
views
Arjun
asked
Feb 12, 2019
Differential Equations
gate2019-ec
numerical-answers
differential-equations
engineering-mathematics
+
–
1
votes
0
answers
2117
GATE ECE 2019 | Question: 44
Let $h[n]$ be a length - $7$ discrete-time finite impulse response filter, given by $h[0]=4, \quad h[1]=3,\quad h[2]=2,\quad h[3]=1,$ $\quad h[-1]=-3, \quad h[-2]=-2, \quad h[-3]=-1,$ and $h[n]$ is zero for $|n|\geq4.$ A ... and $g[n],$ respectively. For the filter that minimizes $E(h,g),$ the value of $10g[-1]+g[1],$ rounded off to $2$ decimal places, is __________.
Let $h[n]$ be a length – $7$ discrete-time finite impulse response filter, given by$$h[0]=4, \quad h =3,\quad h =2,\quad h[3]=1,$$$$\quad h[-1]=-3, \quad h[-2]=-2, \qua...
Arjun
6.6k
points
180
views
Arjun
asked
Feb 12, 2019
Continuous-time Signals
gate2019-ec
numerical-answers
continuous-time-signals
impulse-response
+
–
0
votes
0
answers
2118
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
6.6k
points
123
views
Arjun
asked
Feb 12, 2019
Communications
gate2019-ec
numerical-answers
communications
autocorrelation-and-power-spectral-density
+
–
0
votes
0
answers
2119
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
6.6k
points
191
views
Arjun
asked
Feb 12, 2019
Communications
gate2019-ec
numerical-answers
communications
amplitude-modulation
+
–
0
votes
0
answers
2120
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
6.6k
points
188
views
Arjun
asked
Feb 12, 2019
Probability and Statistics
gate2019-ec
numerical-answers
probability-and-statistics
probability
random-variable
uniform-distribution
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