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761
GATE2020 IN: 35
Let $g[n]=\left\{ \begin{array}{rcl} 1 & n=0 \\0 &n=\pm 1,\pm 2,\pm 3,\dots \end{array}\right. $ and $h[n]=\left\{ \begin{array}{rcl} 1 & n=0,3,6,9\dots \\0 & otherwise \end{array}\right. $ Consider $y[n]=h[n]\otimes g[n]$, where $\otimes$ denotes the convolution operator. The value of $y[2]$ is ___________
Let $g[n]=\left\{ \begin{array}{rcl} 1 & n=0 \\0 &n=\pm 1,\pm 2,\pm 3,\dots \end{array}\right. $ and $h[n]=\left\{ \begin{array}{rcl} 1 & n=0,3,6,9\dots \\0 & otherwise \...
soujanyareddy13
2.7k
points
soujanyareddy13
asked
Nov 3, 2020
Others
gate2020-in
numerical-answers
+
–
0
votes
0
answers
762
GATE2020 IN: 37
The system shown in Fig.(a) has a time response y(t) to an input $r(t)=10u(t)$ as shown in Fig. (b), $u(t)$ being the unit step input. Both $K, t$ are positive. The gain $K$ of the system is __________
The system shown in Fig.(a) has a time response y(t) to an input $r(t)=10u(t)$ as shown in Fig. (b), $u(t)$ being the unit step input. Both $K, t$ are positive. The gain ...
soujanyareddy13
2.7k
points
soujanyareddy13
asked
Nov 3, 2020
Others
gate2020-in
numerical-answers
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–
0
votes
0
answers
763
GATE2020: GA: 7
$\text{P, Q, R and S}$ are to be uniquely coded using $\alpha$ and $\beta$. If $P$ is coded as $\alpha\alpha$ and $Q$ as $\alpha\beta,$ then $R$ and $S$, respectively, can be coded as ___________. $\beta\alpha$ and $\alpha\beta$ $\beta\beta$ and $\alpha\alpha$ $\alpha\beta$ and $\beta\beta$ $\beta\alpha$ and $\beta\beta$
$\text{P, Q, R and S}$ are to be uniquely coded using $\alpha$ and $\beta$. If $P$ is coded as $\alpha\alpha$ and $Q$ as $\alpha\beta,$ then $R$ and $S$, respectively, ca...
soujanyareddy13
2.7k
points
soujanyareddy13
asked
Nov 3, 2020
Analytical Aptitude
gate2020-in
analytical-aptitude
logical-reasoning
sequence-series
easy
+
–
0
votes
0
answers
764
GATE2017: 47
The unbalanced voltage of the Wheatstone bridge, shown in the figure, is measured using a digital voltmeter having infinite input impedance and a resolution of $0.1$ $mV$. If $R=1000\;\Omega$, then the minimum value of $\Delta R$ in $\Omega$ to create a detectable unbalanced voltage is _____________.
The unbalanced voltage of the Wheatstone bridge, shown in the figure, is measured using a digital voltmeter having infinite input impedance and a resolution of $0.1$ $mV...
soujanyareddy13
2.7k
points
soujanyareddy13
asked
Nov 2, 2020
Others
gate2017-in
numerical-answers
+
–
0
votes
0
answers
765
GATE2017: 62
A map shows the elevations of Darjeeling, Gangtok, Kalimpong, Pelling, and Siliguri. Kalimpong is at a lower elevation than Gangtok, Pelling is at a lower elevation than Gangtok. Pelling is at a higher elevation than Siliguri. Darjeeling is at a higher elevation than Gangtok. Which of the following statements can be inferred from the ... is at a higher elevation than Siliguri Siliguri is at a lower elevation than Gangtok Only ii Only ii and iii Only ii and iv Only iii and iv
A map shows the elevations of Darjeeling, Gangtok, Kalimpong, Pelling, and Siliguri. Kalimpong is at a lower elevation than Gangtok, Pelling is at a lower elevation than ...
soujanyareddy13
2.7k
points
soujanyareddy13
asked
Nov 2, 2020
Verbal Aptitude
gate2017-in
verbal-ability
verbal-reasoning
passage-reading
+
–
0
votes
0
answers
766
GATE2017: 15
The silicon diode, shown in the figure, has a barrier potential of $0.7\;\text{V}$. There will be no forward current flow through the diode, if $V_{dc}$, in $\text{volt}$, is greater than $0.7$ $1.3$ $1.8$ $2.6$
The silicon diode, shown in the figure, has a barrier potential of $0.7\;\text{V}$. There will be no forward current flow through the diode, if $V_{dc}$, in $\text{volt}$...
soujanyareddy13
2.7k
points
soujanyareddy13
asked
Nov 1, 2020
Others
gate2017-in
+
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0
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0
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767
GATE2017: 18
The output $\text V_\circ$ shown in the figure, in $\text{volt}$, is close to $-20$ $-15$ $-5$ $0$
The output $\text V_\circ$ shown in the figure, in $\text{volt}$, is close to$-20$$-15$$-5$$0$
soujanyareddy13
2.7k
points
soujanyareddy13
asked
Nov 1, 2020
Others
gate2017-in
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–
0
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0
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768
GATE2016-32
In the circuit shown below, $V_s=101\angle 0V, R=10\Omega$ and $\omega L=100\Omega$. The current $I_s$ is in phase with $V_s$. The magnitude of $I_s$ in $\text{milliampere}$ is $\_\_\_\_\_\_\_\_.$
In the circuit shown below, $V_s=101\angle 0V, R=10\Omega$ and $\omega L=100\Omega$. The current $I_s$ is in phase with $V_s$. The magnitude of $I_s$ in $\text{milliamper...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Others
gate2016-in
numerical-answers
+
–
0
votes
0
answers
769
GATE2016-33
A symmetrical three-phase three-wire $RYB$ system is connected to a balanced delta-connected load. The $RMS$ values of the line current and line-to-line voltage are $\text{10 A}$ and $\text{400 V}$ respectively. The power in the system is measured using the two wattmeter method. The first wattmeter connected between $R$-line and $Y$-line reads zero. The reading of the second wattmeter (connected between $B$-line and $Y$-line) in $\text{watt}$ is ___________.
A symmetrical three-phase three-wire $RYB$ system is connected to a balanced delta-connected load. The $RMS$ values of the line current and line-to-line voltage are $\tex...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Others
gate2016-in
numerical-answers
+
–
0
votes
0
answers
770
GATE2016-51
The photo diode in the figure below has an active sensing area of $10 \;mm^2,$ a sensitivity of $0.5\;A/W$ and a dark current of $1\; \mu A$. The $i-to-v$ converter has a sensitivity of $100\;mV/\mu A$. For an input light intensity of $4\;W/m^2,$ the output $V_0$ in $volt$ is $\_\_\_\_\_\_\_\_\_.$
The photo diode in the figure below has an active sensing area of $10 \;mm^2,$ a sensitivity of $0.5\;A/W$ and a dark current of $1\; \mu A$. The $i-to-v$ converter has a...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Others
gate2016-in
numerical-answers
+
–
0
votes
0
answers
771
GATE2015-45
In the figure shown, $R_T$ represents a resistance temperature device $(RTD)$, whose characteristic is given by $R_T=R_\circ(1+\alpha T),$ where $R_\circ=100\: \Omega, \: \alpha=0.0039^\circ C^{-1}$ and $T$ denotes the temperature in $^\circ C$. Assuming the opamp to be ideal, the value of $V_\circ$ in volts when $T=100^\circ C$, is _____________ $V$.
In the figure shown, $R_T$ represents a resistance temperature device $(RTD)$, whose characteristic is given by $R_T=R_\circ(1+\alpha T),$ where $R_\circ=100\: \Omega, \:...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Others
gate2015-in
numerical-answers
+
–
0
votes
0
answers
772
GATE2014-11
Semiconductor strain gages typically have much higher gage factors than those of metallic strain gages, primarily due to: higher temperature sensitivity higher Poisson’s ratio higher piezoresitive coefficient higher magnetostrictive coefficient
Semiconductor strain gages typically have much higher gage factors than those of metallic strain gages, primarily due to:higher temperature sensitivityhigher Poisson’s ...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Others
gate2014-in
+
–
0
votes
0
answers
773
GATE2013-50
A piezo-electric force sensor, connected by a cable to a voltage amplifier, has the following parameters: Crystal properties : Stiffness $10^9\;N/m,$ Damping ratio $0.01,$ Natural frequency $10^5\;rad/s,$ Force-to-Charge sensitivity $10^{-9}C/N,$ Capacitance $10^{-9}F$ with its loss angle assumed negligible Cable properties : ... within its useful mid-band range of measurement, for which the gain amplitude is less than $1.05,$ approximately is, $35$ $350$ $3500$ $16\times 10^3$
A piezo-electric force sensor, connected by a cable to a voltage amplifier, has the following parameters:Crystal properties : Stiffness $10^9\;N/m,$ Damping ratio $0.01,$...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Others
gate2013-in
+
–
0
votes
0
answers
774
GATE2013-16
A continuous random variable $X$ has a probability density function $f(x)=e^{-x}, 0<x<\propto$. Then $\text{P{X>1}}$ is $0.368$ $0.5$ $0.632$ $1.0$
A continuous random variable $X$ has a probability density function $f(x)=e^{-x}, 0<x<\propto$. Then $\text{P{X>1}}$ is $0.368$$0.5$$0.632$$1.0$
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Probability and Statistics
gate2013-in
probability-and-statistics
probability
probability-density-function
random-variable
+
–
0
votes
0
answers
775
GATE2013-4
The complex function $\tan h(s)$ is analytic over a region of the imaginary axis of the complex s-plane if the following is $\text{TRUE}$ everywhere in the region for all integers $n$ $Re(s)=0$ $Im(s)\neq n\pi$ $Im(s)\neq \frac{n\pi}{3}$ $Im(s)\neq\frac{(2n+1)\pi}{2}$
The complex function $\tan h(s)$ is analytic over a region of the imaginary axis of the complex s-plane if the following is $\text{TRUE}$ everywhere in the region for all...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Others
gate2013-in
+
–
0
votes
0
answers
776
GATE2013-1
The dimension of the null space of the matrix $\begin{bmatrix} 0&1&1\\1&-1&0\\-1&0&-1 \end{bmatrix}$ is $0$ $1$ $2$ $3$
The dimension of the null space of the matrix $\begin{bmatrix} 0&1&1\\1&-1&0\\-1&0&-1 \end{bmatrix}$ is$0$$1$$2$$3$
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Linear Algebra
gate2013-in
linear-algebra
matrices
null-space
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–
0
votes
0
answers
777
GATE2012-31
If $\text{V}_\text{A}-\text{V}_\text{B}=6\;\text{V}$, then $\text{V}_\text{C}-\text{V}_\text{D}$ is $-5\;\text{V}$ $2\;\text{V}$ $3\;\text{V}$ $6\;\text{V}$
If $\text{V}_\text{A}-\text{V}_\text{B}=6\;\text{V}$, then $\text{V}_\text{C}-\text{V}_\text{D}$ is $-5\;\text{V}$$2\;\text{V}$$3\;\text{V}$$6\;\text{V}$
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Others
gate2012-in
+
–
0
votes
0
answers
778
GATE2012-13
In the sum of products function $f(X,\;Y,\;Z)=\sum(2,\;3,\;4,\;5),$ the prime implicants are $\overline{X}Y,\;X\overline{Y}$ $\overline{X}Y,\;X\overline{Y}\;\overline{Z},\;X\overline{Y}Z$ $\overline{X}Y\overline{Z},\;\overline{X}YZ,\;X\overline{Y}$ $\overline{X}Y\overline{Z},\;\overline{X}YZ,\;X\overline{Y}\;\overline{Z},\;X\overline{Y}Z$
In the sum of products function $f(X,\;Y,\;Z)=\sum(2,\;3,\;4,\;5),$ the prime implicants are $\overline{X}Y,\;X\overline{Y}$$\overline{X}Y,\;X\overline{Y}\;\overline{Z},\...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Digital Electronics
gate2012-in
digital-electronics
boolean-algebra
prime-implicants
+
–
0
votes
0
answers
779
GATE2012-8
In the following figure, $\text{C}_1$ and $\text{C}_2$ are ideal capacitors. $\text{C}_1$ has been charged to $12\;\text{V}$ before the ideal switch $\text{S}$ is closed at $t=0$. The current $i(t)$ for all $t$ is $\text{zero}$ $\text{a step function}$ $\text{an exponentially decaying function}$ $\text{an impulse function}$
In the following figure, $\text{C}_1$ and $\text{C}_2$ are ideal capacitors. $\text{C}_1$ has been charged to $12\;\text{V}$ before the ideal switch $\text{S}$ is closed ...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Others
gate2012-in
+
–
0
votes
0
answers
780
GATE IN 2023 | Question: 8
A light emitting diode $\text{(LED)}$ emits light when it is _________ biased. A photodiode provides maximum sensitivity to light when it is _____________ biased. forward, forward forward, reverse reverse, reverse reverse, forward
A light emitting diode $\text{(LED)}$ emits light when it is _________ biased. A photodiode provides maximum sensitivity to light when it is _____________ biased.forward...
admin
2.7k
points
admin
asked
May 22, 2023
Others
gatein-2023
+
–
0
votes
0
answers
781
GATE IN 2023 | Question: 10
The solution $x(t), t \geq 0$, to the differential equation $\ddot{x}=-k \dot{x}, k>0$ with initial conditions $x(0)=1$ and $\dot{x}(0)=0$ is $x(t)=2 e^{-k t}+2 k t-1$ $x(t)=2 e^{-k t}-1$ $x(t)=1$ $x(t)=2 e^{-k t}-k t-1$
The solution $x(t), t \geq 0$, to the differential equation $\ddot{x}=-k \dot{x}, k>0$ with initial conditions $x(0)=1$ and $\dot{x}(0)=0$ is$x(t)=2 e^{-k t}+2 k t-1$$x(t...
admin
2.7k
points
admin
asked
May 22, 2023
Others
gatein-2023
+
–
0
votes
0
answers
782
GATE IN 2023 | Question: 19
Let $y(t)=x(4 t),$ where $x(t)$ is a continuous-time periodic signal with fundamental period of $100 \mathrm{~s}.$ The fundamental period of $ y(t)$ is___________$s$ (rounded off to the nearest integer).
Let $y(t)=x(4 t),$ where $x(t)$ is a continuous-time periodic signal with fundamental period of $100 \mathrm{~s}.$ The fundamental period of $ y(t)$ is___________$s$ (rou...
admin
2.7k
points
admin
asked
May 22, 2023
Others
gatein-2023
+
–
0
votes
0
answers
783
GATE IN 2023 | Question: 20
When the bridge given below is balanced, the current through the resistor $\mathrm{R}_{\mathrm{a}}$ is____________ $\mathrm{mA}$ (rounded off to two decimal places).
When the bridge given below is balanced, the current through the resistor $\mathrm{R}_{\mathrm{a}}$ is____________ $\mathrm{mA}$ (rounded off to two decimal places).
admin
2.7k
points
admin
asked
May 22, 2023
Others
gatein-2023
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–
0
votes
0
answers
784
GATE IN 2023 | Question: 45
A sinusoidal current of $i_1(t)=1 \sin (200 \pi t) \mathrm{mA}$ is flowing through a $4~ \mathrm{H}$ inductor which is mutually coupled to another $5 ~ \mathrm{H}$ inductor carrying $ \mathrm{i}_2(t)=2 \sin (200 \pi t) \mathrm{~mA} $ as shown in the figure. The coupling coefficient between the inductors is $0.6.$ The peak energy stored in the circuit is_____________$\mu \mathrm{J}$ (rounded off to two decimal places).
A sinusoidal current of $i_1(t)=1 \sin (200 \pi t) \mathrm{mA}$ is flowing through a $4~ \mathrm{H}$ inductor which is mutually coupled to another $5 ~ \mathrm{H}$ induct...
admin
2.7k
points
admin
asked
May 22, 2023
Others
gatein-2023
+
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0
votes
0
answers
785
GATE IN 2021 | Question: 47
The circuit shown below uses an ideal $\text{OpAmp}$. Output $V_{O}$ in volt is ____________ (rounded off to one decimal place).
The circuit shown below uses an ideal $\text{OpAmp}$. Output $V_{O}$ in volt is ____________ (rounded off to one decimal place).
Arjun
2.9k
points
Arjun
asked
Feb 19, 2021
Others
gatein-2021
numerical-answers
+
–
0
votes
0
answers
786
GATE IN 2021 | Question: 53
For the full bridge made of linear strain gages with gage factor $2$ as shown in the diagram, $R_{1}=R_{2}=R_{3}=R_{4}=100 \:\Omega$ at $0^{\circ}C$ and strain is $0$. The temperature coefficient of resistance of the strain gages used is $0.005\: per\: ^{\circ}C$. All strain gages are made of ... temperature. While measuring a strain of $0.01$ at a temperature of $50^{\circ}C$, the output $V_{O}$ in millivolt is _______________ (rounded off to two decimal places).
For the full bridge made of linear strain gages with gage factor $2$ as shown in the diagram, $R_{1}=R_{2}=R_{3}=R_{4}=100 \:\Omega$ at $0^{\circ}C$ and strain is $0$. Th...
Arjun
2.9k
points
Arjun
asked
Feb 19, 2021
Others
gatein-2021
numerical-answers
+
–
0
votes
0
answers
787
GATE2016-35
The voltage $v(t)$ shown below is applied to the given circuit. $v(t)=3V$ for $t<0$ and $v(t)=6V$ for $t>0$. The value of current $i(t)$ at $t=1s$, in ampere is ____________.
The voltage $v(t)$ shown below is applied to the given circuit. $v(t)=3V$ for $t<0$ and $v(t)=6V$ for $t>0$. The value of current $i(t)$ at $t=1s$, in ampere is _________...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Others
gate2016-in
numerical-answers
+
–
0
votes
0
answers
788
GATE2016-43
In the circuit given below, the opamp is ideal. The value of current $I_L$ in $\text{microampere}$ is $\_\_\_\_\_\_\_\_.$
In the circuit given below, the opamp is ideal. The value of current $I_L$ in $\text{microampere}$ is $\_\_\_\_\_\_\_\_.$
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Others
gate2016-in
numerical-answers
+
–
0
votes
0
answers
789
GATE2016-54
The signal $m(t)=\frac{\sin(100\;\pi t)}{100\; \pi t}$ is frequency modulated $(FM)$ with an $FM$ Modulator of frequency deviation constant of $30\;kHz/V$. Using Carson’s rule, the approximate bandwidth of the modulated wave in $\text{kilohertz}$ is $\_\_\_\_\_\_\_\_$.
The signal $m(t)=\frac{\sin(100\;\pi t)}{100\; \pi t}$ is frequency modulated $(FM)$ with an $FM$ Modulator of frequency deviation constant of $30\;kHz/V$. Using Carson�...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Others
gate2016-in
numerical-answers
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–
0
votes
0
answers
790
GATE2014-39
In the figure, transistors $T_1$ and $T_2$ have identical characteristics. $V_{CE(sat)}$ of transistor $T_3$ is $0.1\:V$. The voltage $V_1$ is high enough to put $T_3$ in saturation. Voltage $V_{BE}$ of transistors $T_1,T_2$ and $T_3$ is $0.7 V$. The value of $(V_1-V_2)$ in $V$ is _________________.
In the figure, transistors $T_1$ and $T_2$ have identical characteristics. $V_{CE(sat)}$ of transistor $T_3$ is $0.1\:V$. The voltage $V_1$ is high enough to put $T_3$ in...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Others
gate2014-in
numerical-answers
+
–
0
votes
0
answers
791
GATE2014-49
The loop transfer function of a feedback control system is given by $G(s)H(s)=\frac{1}{s(s+1)(9s+1)}$ Its phase crossover frequency (in rad/s), approximated to two decimal places, is ______________.
The loop transfer function of a feedback control system is given by$$G(s)H(s)=\frac{1}{s(s+1)(9s+1)}$$Its phase crossover frequency (in rad/s), approximated to two decima...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Others
gate2014-in
numerical-answers
+
–
0
votes
0
answers
792
GATE2014-50
Consider a transport lag process with a transfer function $G_p(S)=e^{-s}$ The process is controlled by a purely integral controller with transfer function $G_c(S)=\frac{K_i}{S}$ in a unity feedback configuration. The value of $K_i$ for which the closed loop plant has a pole at $ s=-1$, is ___________.
Consider a transport lag process with a transfer function$$G_p(S)=e^{-s}$$The process is controlled by a purely integral controller with transfer function$$G_c(S)=\frac{K...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Others
gate2014-in
numerical-answers
+
–
0
votes
0
answers
793
GATE2013-60
In the summer of $2012$, in New Delhi, the mean temperature of Monday to Wednesday was $41^\circ\text{C}$ and of Tuesday to Thursday was $43^\circ\text{C}$. If the temperature on Thursday was $15$% higher than that of Monday, then the temperature in $^\circ\text{C}$ on Thursday was $40$ $43$ $46$ $49$
In the summer of $2012$, in New Delhi, the mean temperature of Monday to Wednesday was $41^\circ\text{C}$ and of Tuesday to Thursday was $43^\circ\text{C}$. If the temper...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Quantitative Aptitude
gate2013-in
numerical-ability
percentage
+
–
0
votes
0
answers
794
GATE2013-53
Consider a plant with the transfer function $G(s)=1/(s+1)^3.$ Let $K_u$ and $T_u$ be the ultimate gain and ultimate period corresponding to the frequency response based closed loop Ziegler-Nichols cycling method, respectively. The Ziegler-Nichols tuning rule for a $\text{p}$-controller is given as : $K=0.5\;K_u.$ The gain of the transfer ... $\text{P}$-controller designed according to the Ziegler-Nichols tuning rule as given above is $-1.0$ $0.5$ $1.0$ $2.0$
Consider a plant with the transfer function $G(s)=1/(s+1)^3.$ Let $K_u$ and $T_u$ be the ultimate gain and ultimate period corresponding to the frequency response based c...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Others
gate2013-in
+
–
0
votes
0
answers
795
GATE2012-47
The open loop transfer function of a unity gain negative feedback control system is given by $G(s)=\frac{s^2+4s+8}{s(s+2)(s+8)}.$ The angle $\theta$ , at which the root locus approaches the zeros of the system, satisfies $|\theta|=\pi-\tan^{-1}[\frac{1}{4}]$ $|\theta|=\frac{3\pi}{4}-\tan^{-1}[\frac{1}{3}]$ $|\theta|=\frac{\pi}{2}-\tan^{-1}[\frac{1}{4}]$ $|\theta|=\frac{\pi}{4}-\tan^{-1}[\frac{1}{3}]$
The open loop transfer function of a unity gain negative feedback control system is given by $G(s)=\frac{s^2+4s+8}{s(s+2)(s+8)}.$ The angle $\theta$ , at which the root l...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Others
gate2012-in
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–
0
votes
0
answers
796
GATE IN 2023 | Question: 9
$F(z)=\frac{1}{1-z}$, when expanded as a power series around $z=2$, would result in $F(z)=\sum_{k=0}^{\infty} a_k(z-2)^k$, with the region of convergence $\text{(ROC) } |z-2|<1$. The coefficients $a_k, k \geq 0$, are given by the expression _____________. $(-1)^k$ $(-1)^{k+1}$ $\left(\frac{1}{2}\right)^k$ $\left(\frac{-1}{2}\right)^{k+1}$
$F(z)=\frac{1}{1-z}$, when expanded as a power series around $z=2$, would result in $F(z)=\sum_{k=0}^{\infty} a_k(z-2)^k$, with the region of convergence $\text{(ROC) } |...
admin
2.7k
points
admin
asked
May 22, 2023
Others
gatein-2023
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0
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0
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797
GATE IN 2023 | Question: 13
What is $\lim _{x \rightarrow 0} f(x)$, where $f(x)=x \sin \frac{1}{x} ?$ $0$ $1$ $\infty$ Limit does not exist
What is $\lim _{x \rightarrow 0} f(x)$, where $f(x)=x \sin \frac{1}{x} ?$$0$$1$$\infty$Limit does not exist
admin
2.7k
points
admin
asked
May 22, 2023
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gatein-2023
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798
GATE IN 2023 | Question: 23
The diode in the circuit is ideal. The current source $\mathrm{i}_{\mathrm{s}}(t)=\pi \sin (3000 \pi \mathrm{t}) \mathrm{~mA}.$ The magnitude of the average current flowing through the resistor $\mathrm{R}$ is______________$\mathrm{mA}$ (rounded off to two decimal places).
The diode in the circuit is ideal. The current source $\mathrm{i}_{\mathrm{s}}(t)=\pi \sin (3000 \pi \mathrm{t}) \mathrm{~mA}.$ The magnitude of the average current flowi...
admin
2.7k
points
admin
asked
May 22, 2023
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gatein-2023
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0
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799
GATE IN 2023 | Question: 53
The rank of the matrix $A$ given below is one. The ratio $\frac{\alpha}{\beta}$ is __________ (rounded off to the nearest integer). $A=\left[\begin{array}{cc} 1 & 4 \\ -3 & \alpha \\ \beta & 6 \end{array}\right]$
The rank of the matrix $A$ given below is one. The ratio $\frac{\alpha}{\beta}$ is __________ (rounded off to the nearest integer).$$A=\left[\begin{array}{cc}1 & 4 \\-3 &...
admin
2.7k
points
admin
asked
May 22, 2023
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gatein-2023
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0
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0
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800
GATE IN 2022 | Question: 25
An $\text{OPAMP}$ has a gain of $10^{4},$ an input impedance of $10 \; \text{M} \Omega$ and an output impedance of $100 \; \Omega.$ The $\text{OPAMP}$ is used in unity-gain feedback configuration in a voltage buffer circuit. The closed-loop output impedance of the $\text{OPAMP}$ (in milliohms) in the circuit is ___________ (round off to one decimal place)
An $\text{OPAMP}$ has a gain of $10^{4},$ an input impedance of $10 \; \text{M} \Omega$ and an output impedance of $100 \; \Omega.$ The $\text{OPAMP}$ is used in unity-g...
Lakshman Bhaiya
2.4k
points
Lakshman Bhaiya
asked
Mar 20, 2022
Others
gatein-2022
numerical-answers
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