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#181
List item number 181
1
1 vote
0
0 answers
875
875 views
GATE ECE 2024 | Question: 29
A uniform plane wave with electric field $\vec{E}(x)=A_{y} \hat{a}_{y} e^{-j \frac{2 \pi x}{3}} \mathrm{~V} / \mathrm{m}$ is travelling in the air (relative permittivity,...
admin
875
views
asked
Feb 16, 2024
Electromagnetics
gateece-2024
electromagnetics
plane-waves-and-properties
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#182
List item number 182
1
1 vote
1
1 answer
3.1k
3.1k views
GATE ECE 2024 | Question: 30
A $4$-bit priority encoder has inputs $D_{3}, D_{2}, D_{1}$, and $D_{0}$ in descending order of priority. The two-bit output $A B$ is generated as $00,01,10$, and 11...
admin
3.1k
views
asked
Feb 16, 2024
Digital Circuits
gateece-2024
digital-circuits
boolean-algebra
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#183
List item number 183
1
1 vote
1
1 answer
2.0k
2.0k views
GATE ECE 2024 | Question: 31
The propagation delay of the $2 \times 1$ MUX shown in the circuit is $10 \mathrm{~ns}$. Consider the propagation delay of the inverter as $0 \mathrm{~ns}$.If $\text...
admin
2.0k
views
asked
Feb 16, 2024
Digital Circuits
gateece-2024
digital-circuits
multiplexers
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#184
List item number 184
1
1 vote
0
0 answers
1.2k
1.2k views
GATE ECE 2024 | Question: 32
The sequence of states $\left(Q_{1} Q_{0}\right)$ of the given synchronous sequential circuit is - $\_\_\_\_\_\_\_$.$00 \rightarrow 10 \rightarrow 11 \rightarrow 00$...
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1.2k
views
asked
Feb 16, 2024
Sequential Circuits
gateece-2024
flip-flops
state-transition-diagram
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#185
List item number 185
1
1 vote
0
0 answers
724
724 views
GATE ECE 2024 | Question: 33
Let $z$ be a complex variable. If $f(z)=\frac{\sin (\pi z)}{z^{2}(z-2)}$ and $C$ is the circle in the complex plane with $|z|=3$ then $\oint_{C} f(z) d z$ is $\_\_\_...
admin
724
views
asked
Feb 16, 2024
Complex Analysis
gateece-2024
complex-analysis
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#186
List item number 186
2
2 votes
1
1 answer
2.5k
2.5k views
GATE ECE 2024 | Question: 34
Consider two continuous time signals $x(t)$ and $y(t)$ as shown below If $X(f)$ denotes the Fourier transform of $x(t)$, then the Fourier transform of $y(t)$ is $\_\_\_\_...
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2.5k
views
asked
Feb 16, 2024
Continuous-time Signals
gateece-2024
fourier-transform
continuous-time-signals
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#187
List item number 187
2
2 votes
0
0 answers
1.1k
1.1k views
GATE ECE 2024 | Question: 35
A source transmits a symbol $s$, taken from $\{-4,0,4\}$ with equal probability, over an additive white Gaussian noise channel. The received noisy symbol $r$ is give...
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1.1k
views
asked
Feb 16, 2024
Communications
gateece-2024
gaussian-noise
probability-and-statistics
analog-communications
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#188
List item number 188
0
0 votes
0
0 answers
1.1k
1.1k views
GATE ECE 2024 | Question: 36
A full scale sinusoidal signal is applied to a $10$ -bit $\mathrm{ADC}$. The fundamental signal component in the $\mathrm{ADC}$ output has a normalized power of $1 \...
admin
1.1k
views
asked
Feb 16, 2024
Data Converters
gateece-2024
analog-to-digital-converter
signals-and-systems
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#189
List item number 189
0
0 votes
0
0 answers
1.9k
1.9k views
GATE ECE 2024 | Question: 37
The information bit sequence $\{111010101\}$ is to be transmitted by encoding with Cyclic Redundancy Check $4$ (CRC-$4$) code, for which the generator polynomial is ...
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1.9k
views
asked
Feb 16, 2024
Digital Communications
gateece-2024
polynomials
digital-communications
information-theory
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#190
List item number 190
2
2 votes
1
1 answer
895
895 views
GATE ECE 2024 | Question: 38
A continuous time signal $x(t)=2 \cos (8 \pi t+\pi / 3)$ is sampled at a rate of $15 \mathrm{~Hz}$. The sampled signal $x_{s}(t)$ when passed through an LTI system wi...
admin
895
views
asked
Feb 16, 2024
Continuous-time Signals
gateece-2024
impulse-response
continuous-time-signals
linear-time-invariant-systems
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–
#191
List item number 191
0
0 votes
0
0 answers
978
978 views
GATE ECE 2024 | Question: 39
The opamps in the circuit shown are ideal, but have saturation voltages of $\pm 10 \mathrm{~V}$.Assume that the initial inductor current is $0 \mathrm{~A}$. The inpu...
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978
views
asked
Feb 16, 2024
Op-amp Circuits
gateece-2024
wave-equation
op-amp-circuits
analog-circuits
circuit-analysis
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#192
List item number 192
1
1 vote
0
0 answers
1.2k
1.2k views
GATE ECE 2024 | Question: 40
In the circuit below, the opamp is ideal. If the circuit is to show sustained oscillations, the respective values of $R_{1}$ and the corresponding frequency of oscillatio...
admin
1.2k
views
asked
Feb 16, 2024
Op-amp Circuits
gateece-2024
oscillator
op-amp-circuits
analog-circuits
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#193
List item number 193
1
1 vote
0
0 answers
1.2k
1.2k views
GATE ECE 2024 | Question: 41
In the circuit shown below, the transistors $M_{1}$ and $M_{2}$ are biased in saturation. Their small signal transconductances are $g_{m 1}$ and $g_{m 2}$ respectively. N...
admin
1.2k
views
asked
Feb 16, 2024
Digital Circuits
gateece-2024
digital-circuits
small-signal-analysis
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#194
List item number 194
0
0 votes
0
0 answers
1.4k
1.4k views
GATE ECE 2024 | Question: 42
Which of the following statements is/are true for a $\text{BJT}$ with respect to its DC current gain $\beta$ ?Under high-level injection condition in forward active mode,...
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1.4k
views
asked
Feb 16, 2024
BJT and MOSFET Amplifiers
gateece-2024
bipolar-junction-transistor
analog-circuits
others
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#195
List item number 195
1
1 vote
0
0 answers
793
793 views
GATE ECE 2024 | Question: 43
Consider a system $S$ represented in state space as\[\frac{d x}{d t}=\left[\begin{array}{ll}0 & -2 \\1 & -3\end{array}\right] x+\left[\begin{array}{l}1 \\0\end{array}\rig...
admin
793
views
asked
Feb 16, 2024
Control Systems
gateece-2024
transfer-function
state-equations
control-systems
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#196
List item number 196
1
1 vote
0
0 answers
838
838 views
GATE ECE 2024 | Question: 44
Let $F_{1}, F_{2}$, and $F_{3}$ be functions of $(x, y, z)$. Suppose that for every given pair of points $A$ and $B$ in space, the line integral $\int_{C}\left(F_{1} \mat...
admin
838
views
asked
Feb 16, 2024
Vector Analysis
gateece-2024
vector-analysis
scalar-function
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#197
List item number 197
0
0 votes
1
1 answer
1.3k
1.3k views
GATE ECE 2024 | Question: 45
Consider the matrix $\left[\begin{array}{ll}1 & k \\ 2 & 1\end{array}\right]$, where $k$ is a positive real number. Which of the following vectors is/are eigenvector...
admin
1.3k
views
asked
Feb 16, 2024
Linear Algebra
gateece-2024
matrices
eigen-values
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#198
List item number 198
2
2 votes
1
1 answer
3.2k
3.2k views
GATE ECE 2024 | Question: 46
The radian frequency value(s) for which the discrete time sinusoidal signal $x[n]=A \cos (\Omega n+\pi / 3)$ has a period of $40$ is/are $\_\_\_\_\_\_$.$0.15 \pi$$0....
admin
3.2k
views
asked
Feb 16, 2024
Discrete-time Signals
gateece-2024
discrete-time-signals
sinusoidal
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#199
List item number 199
0
0 votes
0
0 answers
511
511 views
GATE ECE 2024 | Question: 47
Let $X(t)=A \cos \left(2 \pi f_{0} t+\theta\right)$ be a random process, where amplitude $A$ and phase $\theta$ are independent of each other, and are uniformly distribut...
admin
511
views
asked
Feb 16, 2024
Random Processes
gateece-2024
random-variable
signals-and-systems
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#200
List item number 200
0
0 votes
0
0 answers
578
578 views
GATE ECE 2024 | Question: 48
A lossless transmission line with characteristic impedance $\mathrm{Z}_{0}=50 \Omega$ is terminated with an unknown load. The magnitude of the reflection co-efficient is ...
admin
578
views
asked
Feb 16, 2024
Transmission lines
gateece-2024
transmision-line
impedance
numerical-answers
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