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401
GATE ECE 2000 | Question 1.8
An amplifier with resistive negative feedback has two left half plane poles in its open-loop transfer function. The amplifier will always be unstable at high frequencies will be stable for all frequencies may be unstable, depending on the feedback factor will oscillate at low frequencies
An amplifier with resistive negative feedback has two left half plane poles in its open-loop transfer function. The amplifierwill always be unstable at high frequencieswi...
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402
GATE ECE 2004 | Question: 3
The circuit shown in in the figure, with $R=\frac{1}{3} \Omega$, $\mathrm{L}=\frac{1}{4} \mathrm{H}, \mathrm{C}=3 \mathrm{~F}$ has input voltage $v(t)=\sin 2 t$. The resulting current $i(t)$ is $5 \sin (2t + 53.1^{\circ})$ $5 \sin (2t - 53.1^{\circ})$ $25 \sin (2t + 53.1^{\circ})$ $25 \sin (2t - 53.1^{\circ})$
The circuit shown in in the figure, with $R=\frac{1}{3} \Omega$, $\mathrm{L}=\frac{1}{4} \mathrm{H}, \mathrm{C}=3 \mathrm{~F}$ has input voltage $v(t)=\sin 2 t$. The resu...
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404
GATE ECE 2021 | Question: 21
The autocorrelation function $R_{X}\left ( \tau \right )$ of a wide-sense stationary random process $X(t)$ is shown in the figure. The average power of $X(t)$ is ________________
The autocorrelation function $R_{X}\left ( \tau \right )$ of a wide-sense stationary random process $X(t)$ is shown in the figure.The average power of $X(t)$ is _________...
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405
GATE ECE 2014 Set 2 | Question: 27
The real part of an analytic function $f(z)$ where $z = x + jy$ is given by $e^{-y} \cos(x)$. The imaginary part of $f(z)$ is $e^{y} \cos( x )$ $e^{-y} \sin( x )$ $-e^{y} \sin ( x )$ $-e^{-y} \sin (x )$
The real part of an analytic function $f(z)$ where $z = x + jy$ is given by $e^{-y} \cos(x)$. The imaginary part of $f(z)$ is$e^{y} \cos( x )$$e^{-y} \sin( x )$$-e^{y} \s...
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406
GATE ECE 1997 | Question 3.6
A communication channel has first-order low pass transfer function. The channel is used to transmit pulses at a symbol rate greater than the half-power frequency of the low pass function. Which of the network shown in the figure is can be used to equalise the received pulses?
A communication channel has first-order low pass transfer function. The channel is used to transmit pulses at a symbol rate greater than the half-power frequency of the l...
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407
GATE ECE 2019 | GA Question: 2
The boat arrived ______ dawn. in at on under
The boat arrived ______ dawn.inatonunder
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409
GATE ECE 2022 | Question: 22
A simple closed path $C$ in the complex plane is shown in the figure. If $\oint_{c} \frac{2^{z}}{z^{2} – 1}dz = – i \pi A,$ where $i = \sqrt{-1},$ then the value of $A$ is _________ (rounded off to two decimal places).
A simple closed path $C$ in the complex plane is shown in the figure. If$$\oint_{c} \frac{2^{z}}{z^{2} – 1}dz = – i \pi A,$$where $i = \sqrt{-1},$ then the value of $...
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411
GATE ECE 2003 | Question: 11
Choose the correct match for input resistance of various amplifier configurations shown below ... $\text{CB-LO, CC-HI, CE-MO}$ $\text{CB-MO, CC-HI, CE-LO}$ $\text{CB-HI, CC-LO, CE-MO}$
Choose the correct match for input resistance of various amplifier configurations shown below$\begin{array}{ll}\text { Configuration } & \text { Input resistance } \\ \te...
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412
GATE ECE 2020 | Question: 23
The loop transfer function of a negative feedback system is $G\left ( s \right )H\left ( s \right )=\frac{K(s+11)}{s(s+2)(s+8)}.$ The value of $K$, for which the system is marginally stable, is ___________.
The loop transfer function of a negative feedback system is $$G\left ( s \right )H\left ( s \right )=\frac{K(s+11)}{s(s+2)(s+8)}.$$ The value of $K$, for which the system...
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416
GATE ECE 2015 Set 2 | Question: 21
A unity negative feedback system has an open-loop transfer function $G(S) = \dfrac{K}{s(s+10)}$. The gain $K$ for the system to have a damping ratio of $0.25$ is ________.
A unity negative feedback system has an open-loop transfer function $G(S) = \dfrac{K}{s(s+10)}$. The gain $K$ for the system to have a damping ratio of $0.25$ is ________...
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417
GATE ECE 2022 | Question: 3
The current $I$ in the circuit shown is ______________. $1.25 \times 10^{-3} \; \text{A}$ $0.75 \times 10^{-3} \; \text{A}$ $ – 0.5 \times 10^{-3} \; \text{A}$ $1.16 \times 10^{-3} \; \text{A}$
The current $I$ in the circuit shown is ______________.$1.25 \times 10^{-3} \; \text{A}$$0.75 \times 10^{-3} \; \text{A}$$ – 0.5 \times 10^{-3} \; \text{A}$$1.16 \times...
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418
GATE ECE 2019 | Question: 39
The state transition diagram for the circuit shown is
The state transition diagram for the circuit shown is
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420
GATE ECE 2012 | Question: 35
The direction of vector $A$ is radially outward from the origin, with $|A|=kr^n$ where $r^2=x^2+y^2+z^2$ and $k$ is a constant. The value of $n$ for which $\triangledown.A=0$ is $-2$ $2$ $1$ $0$
The direction of vector $A$ is radially outward from the origin, with $|A|=kr^n$ where $r^2=x^2+y^2+z^2$ and $k$ is a constant. The value of $n$ for which $\triangledown....
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421
GATE ECE 2024 | Question: 52
In the network shown below, maximum power is to be transferred to the load $R_{L}$. The value of $R_{L}$ (in $\Omega$ ) is $\_\_\_\_\_\_\_$.
In the network shown below, maximum power is to be transferred to the load $R_{L}$.The value of $R_{L}$ (in $\Omega$ ) is $\_\_\_\_\_\_\_$.
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422
GATE ECE 2022 | Question: 5
The Fourier transform $X(j \omega)$ of the signal $x(t) = \frac{t}{(1+t^{2})^{2}}$ is ______________. $\frac{\pi}{2j} \omega e^{– |\omega|}$ $\frac{\pi}{2} \omega e^{– |\omega|}$ $\frac{\pi}{2j}e^{– |\omega|}$ $\frac{\pi}{2}e^{– |\omega|}$
The Fourier transform $X(j \omega)$ of the signal$$x(t) = \frac{t}{(1+t^{2})^{2}}$$is ______________.$\frac{\pi}{2j} \omega e^{– |\omega|}$$\frac{\pi}{2} \omega e^{– ...
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426
GATE ECE 2014 Set 3 | Question: 15
The circuit shown in the figure is a Toggle Flip Flop JK Flip Flop SR Latch Master-Slave D Flip Flop
The circuit shown in the figure is a Toggle Flip FlopJK Flip FlopSR LatchMaster-Slave D Flip Flop
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427
GATE ECE 2012 | Question: 54
The transfer function of a compensator is given as $G_c(s)=\frac{s+a}{s+b}$ $G_c(s)$ is a lead compensator if $a=1,b=2$ $a=3,b=2$ $a=-3,b=-1$ $a=3,b=1$
The transfer function of a compensator is given as$$G_c(s)=\frac{s+a}{s+b}$$$G_c(s)$ is a lead compensator if$a=1,b=2$$a=3,b=2$$a=-3,b=-1$$a=3,b=1$
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430
GATE ECE 2019 | GA Question: 5
When he did not come home, she _______ him lying dead on the roadside somewhere. concluded looked notice pictured
When he did not come home, she _______ him lying dead on the roadside somewhere.concludedlookednoticepictured
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432
GATE ECE 1997 | Question 1.11
The voltage $V$ in the figure is $10 \mathrm{~V}$ $15 \mathrm{~V}$ $5 \mathrm{~V}$ None of the above
The voltage $V$ in the figure is$10 \mathrm{~V}$$15 \mathrm{~V}$$5 \mathrm{~V}$None of the above
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433
GATE ECE 2000 | Question 2.1
The eigen values of the matrix $\left[\begin{array}{rrrr}2 & -1 & 0 & 0 \\ 0 & 3 & 0 & 0 \\ 0 & 0 & -2 & 0 \\ 0 & 0 & -1 & 4\end{array}\right]$ are $2,-2,1,-1$ $2, 3, -2, 4$ $2,3,1,4$ None of these
The eigen values of the matrix $\left[\begin{array}{rrrr}2 & -1 & 0 & 0 \\ 0 & 3 & 0 & 0 \\ 0 & 0 & -2 & 0 \\ 0 & 0 & -1 & 4\end{array}\right]$ are$2,-2,1,-1$$2, 3, -2, 4...
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436
GATE ECE 2018 | GA Question: 7
Two alloys $A$ and $B$ contain gold and copper in the ratios of $2:3$ and $3: 7$ by mass, respectively. Equal masses of alloys $A$ and $B$ are melted to make an alloy $C.$ The ratio of gold to copper in alloy $C$ is$:$ $5:10$ $7:13$ $6:11$ $9:13$
Two alloys $A$ and $B$ contain gold and copper in the ratios of $2:3$ and $3: 7$ by mass, respectively. Equal masses of alloys $A$ and $B$ are melted to make an alloy $C....
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437
GATE ECE 2018 | Question: 49
A uniform plane wave traveling in free space and having the electric field ... ) as shown in the figure and there is no reflected wave. The relative permittivity (correct to two decimal places) of the dielectric medium is __________.
A uniform plane wave traveling in free space and having the electric field$$\overrightarrow{E} =\left ( \sqrt{2}\:\hat{a}_{x} -\hat{a}_{z}\right )cos\left [ 6\sqrt{3}\: \...
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439
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 $\_\_\_\_\_\_$. $\pi^{2} j$ $j \pi\left(\frac{1}{2}-\pi\right)$ $j \pi\left(\frac{1}{2}+\pi\right)$ $-\pi^{2} j$
​​​​​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 $\oint_{C} f(z) d z$ ...
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