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1721
GATE ECE 2021 | Question: 48
A unity feedback system that uses proportional-integral ($\text{PI}$) control is shown in the figure. The stability of the overall system is controlled by tuning the $\text{PI}$ control parameters $K_{P}$ and $K_{I}$. The maximum ... as to keep the overall system stable or, in the worst case, marginally stable (rounded off to three decimal places) is ___________________
A unity feedback system that uses proportional-integral ($\text{PI}$) control is shown in the figure.The stability of the overall system is controlled by tuning the $\tex...
Arjun
6.6k
points
139
views
Arjun
asked
Feb 19, 2021
Others
gateec-2021
numerical-answers
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1722
GATE ECE 2021 | Question: 49
A sinusoidal message signal having root mean square value of $4\:V$ and frequency of $\text{1 kHz}$ is fed to a phase modulator with phase deviation constant $2$ ... $\text{Hz}$.
A sinusoidal message signal having root mean square value of $4\:V$ and frequency of $\text{1 kHz}$ is fed to a phase modulator with phase deviation constant $2$ rad/ vol...
Arjun
6.6k
points
120
views
Arjun
asked
Feb 19, 2021
Others
gateec-2021
numerical-answers
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1723
GATE ECE 2021 | Question: 50
Consider a superheterodyne receiver tuned to $600 \text{ kHz}$. If the local oscillator feeds a $1000 \text{ kHz}$ signal to the mixer, the image frequency (in integer) is ____________________ $\text{kHz}$.
Consider a superheterodyne receiver tuned to $600 \text{ kHz}$. If the local oscillator feeds a $1000 \text{ kHz}$ signal to the mixer, the image frequency (in integer) i...
Arjun
6.6k
points
163
views
Arjun
asked
Feb 19, 2021
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gateec-2021
numerical-answers
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1724
GATE ECE 2021 | Question: 51
In a high school having equal number of boy students and girl students, $75\%$ of the students study Science and the remaining $25\%$ students study Commerce. Commerce students are two times more likely to be a boy than are ... gained in knowing that a randomly selected girl student studies Commerce (rounded off to three decimal places) is _____________________ bits.
In a high school having equal number of boy students and girl students, $75\%$ of the students study Science and the remaining $25\%$ students study Commerce. Commerce st...
Arjun
6.6k
points
103
views
Arjun
asked
Feb 19, 2021
Others
gateec-2021
numerical-answers
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1725
GATE ECE 2021 | Question: 52
A message signal having peak-to-peak value of $2\:V$, root mean square value of $0.1\:V$ and bandwidth of $\text{5 kHz}$ is sampled and fed to a pulse code modulation ($\text{PCM}$) system that uses a uniform quantizer. ... signal to quantization noise ratio that can be obtained by the $\text{PCM}$ system (rounded off to two decimal places) is _________________________
A message signal having peak-to-peak value of $2\:V$, root mean square value of $0.1\:V$ and bandwidth of $\text{5 kHz}$ is sampled and fed to a pulse code modulation ($\...
Arjun
6.6k
points
105
views
Arjun
asked
Feb 19, 2021
Others
gateec-2021
numerical-answers
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1726
GATE ECE 2021 | Question: 53
Consider a polar non-return to zero ($\text{NRZ}$) waveform, using $+2\:V$ and $-2\:V$ for representing binary $1$' and $0$ ... the optimum threshold voltage for a maximum a posteriori ($\text{MAP}$) receiver (rounded off to two decimal places) is ______ $V$.
Consider a polar non-return to zero ($\text{NRZ}$) waveform, using $+2\:V$ and $-2\:V$ for representing binary ‘$1$’ and ‘$0$’ respectively, is transmitted in the...
Arjun
6.6k
points
101
views
Arjun
asked
Feb 19, 2021
Others
gateec-2021
numerical-answers
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1727
GATE ECE 2021 | Question: 54
A standard air-filled rectangular waveguide with dimensions $\text{a=8 cm, b=4 cm}$, operates at $\text{3.4 GHz}$. For the dominant mode of wave propagation, the phase velocity of the signal in $v_{p}$. The value (rounded off to two decimal places) of $v_{p}/c$, where $c$ denotes the velocity of light, is ________________________
A standard air-filled rectangular waveguide with dimensions $\text{a=8 cm, b=4 cm}$, operates at $\text{3.4 GHz}$. For the dominant mode of wave propagation, the phase ve...
Arjun
6.6k
points
128
views
Arjun
asked
Feb 19, 2021
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gateec-2021
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1728
GATE ECE 2021 | Question: 55
An antenna with a directive gain of $6\text{ dB}$ is radiating a total power of $\text{16 kW}$. The amplitude of the electric field in free space at a distance of $\text{8 km}$ from the antenna in the direction of $\text{6 dB}$ gain (rounded off to three decimal places) is ____________________ $\text{V/m}$.
An antenna with a directive gain of $6\text{ dB}$ is radiating a total power of $\text{16 kW}$. The amplitude of the electric field in free space at a distance of $\text{...
Arjun
6.6k
points
188
views
Arjun
asked
Feb 19, 2021
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gateec-2021
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1729
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
91
views
ashutoshsharma
asked
Dec 1, 2018
Others
de
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1730
GATE ECE 2014 Set 1 | Question: 23
The capacity of a Binary Symmetric Channel $\text{(BSC)}$ with cross-over probability $0.5$ is ________.
The capacity of a Binary Symmetric Channel $\text{(BSC)}$ with cross-over probability $0.5$ is ________.
Milicevic3306
16.0k
points
104
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Milicevic3306
asked
Mar 25, 2018
Others
gate2014-ec-1
numerical-answers
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1731
GATE ECE 2014 Set 1 | Question: 25
The force on a point charge $+q$ kept at a distance $d$ from the surface of an infinite grounded metal plate in a medium of permittivity $\epsilon\:$ is $0$ $\dfrac{q^{2}}{16\pi \epsilon d^{2}}$ away from the plate $\dfrac{q^{2}}{16\pi \epsilon d^{2}}$ towards the plate $\dfrac{q^{2}}{4\pi \epsilon d^{2}}$ towards the plate
The force on a point charge $+q$ kept at a distance $d$ from the surface of an infinite grounded metal plate in a medium of permittivity $\epsilon\:$ is$0$$\dfrac{q^{2}}...
Milicevic3306
16.0k
points
108
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Milicevic3306
asked
Mar 25, 2018
Others
gate2014-ec-1
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1732
GATE ECE 2013 | Question: 55
The state diagram of a system is shown below. A system is described by the state-variable equations $\dot{X}= AX+Bu;\:\: y = CX+Du$ The state transition matrix $e^{At}$ ... $\begin{bmatrix} e^{-t}&-te^{-t} \\ 0 &e^{-t} \end{bmatrix}$
The state diagram of a system is shown below. A system is described by the state-variable equations $$\dot{X}= AX+Bu;\:\: y = CX+Du$$The state transition matrix $e^{At}$ ...
Milicevic3306
16.0k
points
124
views
Milicevic3306
asked
Mar 25, 2018
Others
gate2013-ec
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1733
GATE ECE 2013 | Question: 22
The transfer function $\dfrac{V_{2}(s)}{V_{1}(s)}$ of the circuit shown below is $\frac{0.5s+1}{s+1} \\ $ $\frac{3s+6}{s+2} \\ $ $\frac{s+2}{s+1} \\ $ $\frac{s+1}{s+2}$
The transfer function $\dfrac{V_{2}(s)}{V_{1}(s)}$ of the circuit shown below is$\frac{0.5s+1}{s+1} \\ $$\frac{3s+6}{s+2} \\ $$\frac{s+2}{s+1} \\ $$\frac{s+1}{s+2}$
Milicevic3306
16.0k
points
110
views
Milicevic3306
asked
Mar 25, 2018
Others
gate2013-ec
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1734
GATE ECE 2012 | Question: 45
If $V_A-V_B=6\:V$, then $V_C-V_D$ is $-5\:V$ $2\:V$ $3\:V$ $6\:V$
If $V_A-V_B=6\:V$, then $V_C-V_D$ is$-5\:V$$2\:V$$3\:V$$6\:V$
Milicevic3306
16.0k
points
88
views
Milicevic3306
asked
Mar 25, 2018
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gate2012-ec
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1735
GATE ECE 2012 | Question: 22
In the circuit shown below, the current through the inductor is $\frac{2}{1+j}\:A$ $\frac{-1}{1+j}\:A$ $\frac{1}{1+j}\:A$ $0\:A$
In the circuit shown below, the current through the inductor is$\frac{2}{1+j}\:A$$\frac{-1}{1+j}\:A$$\frac{1}{1+j}\:A$$0\:A$
Milicevic3306
16.0k
points
131
views
Milicevic3306
asked
Mar 25, 2018
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gate2012-ec
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1736
GATE ECE 2012 | Question: 14
In the circuit shown $Y=\overline{A} \overline{B}+\bar{C}$ $Y=(A+B)C$ $Y=(\overline{A}+\overline{B})\overline{C}$ $Y=AB+C$
In the circuit shown$Y=\overline{A} \overline{B}+\bar{C}$$Y=(A+B)C$$Y=(\overline{A}+\overline{B})\overline{C}$$Y=AB+C$
Milicevic3306
16.0k
points
83
views
Milicevic3306
asked
Mar 25, 2018
Others
gate2012-ec
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1737
GATE ECE 2002 | Question: 4
For the network shown in the figure is, $R=1 \mathrm{~K} \Omega$, $L_{1}=2 \; \mathrm{H}, \mathrm{L}_{2}=5 \; \mathrm{H}, \mathrm{L}_{3}=1 \; \mathrm{H}, \mathrm{L}_{4}=4 \; \mathrm{H}$ ... $\mathrm{L}_{4}$. the equivalent inductance across the points $\mathrm{A}$ and $\text{B}$ in the network. the resonant frequency of the network.
For the network shown in the figure is, $R=1 \mathrm{~K} \Omega$, $L_{1}=2 \; \mathrm{H}, \mathrm{L}_{2}=5 \; \mathrm{H}, \mathrm{L}_{3}=1 \; \mathrm{H}, \mathrm{L}_{4}=4...
admin
46.4k
points
45
views
admin
asked
Sep 27, 2022
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gate2002-ec
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