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441
GATE2019 IN: 41
A pulsed laser emits rectangular pulses of width 1 nanosecond at a repetition rate of 1kHz. If the average power output is 1 mW, the average power over a single pulse duration, in watts, is 1 10 100 1000
A pulsed laser emits rectangular pulses of width 1 nanosecond at a repetition rate of 1kHz. If the average power output is 1 mW, the average power over a single pulse dur...
Arjun
2.9k
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Arjun
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Feb 10, 2019
Others
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0
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442
GATE2019 IN: 42
Four identical resistive strain gauge factor of 2.0 used in a wheatstone bridge as shown in the figure below. Only one of the strain gauges R${_S}{_E}{_N}{_S}{_E}$ changes its resistance due to strain. If the output voltage V${_O}{_U}{_T}$ is measured to be1 m V, the measured of strain, in units of microstrain, is $1$ $10$ $100$ $1000$
Four identical resistive strain gauge factor of 2.0 used in a wheatstone bridge as shown in the figure below. Only one of the strain gauges R${_S}{_E}{_...
Arjun
2.9k
points
Arjun
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Feb 10, 2019
Others
gate2019-in
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0
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0
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443
GATE2019 IN: 43
The frequency response of a digital filter H($\omega$) has the following characteristics Passband: 0.95$\le$|H($\omega$|$\le$1.05 for 0$\le$\omega$\le$0.3$\pi$ and Stopband: 0$\le$|H($\omega$)|$\le$0.005 for 0.4$\pi$\le$\omega$\le$\pi$, where $\omega$ is the normalized angular frequency in rad/sample.. If the analog upper cut off frequency for the passband of the above digital filter is to be 1.2 kHz, then the sampling frequency should be $\_\_\_\_\_$ kHz.
The frequency response of a digital filter H($\omega$) has the following characteristicsPassband: 0.95$\le$|H($\omega$|$\le$1.05 for 0$\le$$\omega$$\le$0.3$\pi$ andStopba...
Arjun
2.9k
points
Arjun
asked
Feb 10, 2019
Others
gate2019-in
numerical-answers
+
–
0
votes
0
answers
444
GATE2019 IN: 44
In the circuit shown below, a step input voltage of magnitude 5 V is applied at node A at time t = 0. If the capacitor has no charge for t $\leq$ 0, the voltage at node P at t=6 ${\mu}$s is $\_\_\_\_$ V.(Answer should be rounded off to two decimal places)
In the circuit shown below, a step input voltage of magnitude 5 V is applied at node A at time t = 0. If the capacitor has no charge for t $\leq$ 0, the voltage at node P...
Arjun
2.9k
points
Arjun
asked
Feb 10, 2019
Others
gate2019-in
numerical-answers
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–
0
votes
0
answers
445
GATE2019 IN: 45
In the circuit shown below, the angular frequency $\omega$ at which the current is in phase with the voltage is $\_\_\_\_\_\_$ rad/s.
In the circuit shown below, the angular frequency $\omega$ at which the current is in phase with the voltage is $\_\_\_\_\_\_$ rad/s.
Arjun
2.9k
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Arjun
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Feb 10, 2019
Others
gate2019-in
numerical-answers
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0
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0
answers
446
GATE2019 IN: 46
The transfer function relating the input x(t) to the output y(t) of a system is given by G(s) = 1/(s + 3). A unit-step input is applied to the system at time t = 0. Assuming that y(0) = 3, the value of y(t) at time t = 1 is $\_\_\_\_$ (Answer should be rounded off to two decimal places)
The transfer function relating the input x(t) to the output y(t) of a system is given by G(s) = 1/(s + 3). A unit-step input is applied to the system at time t = 0. Assum...
Arjun
2.9k
points
Arjun
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Feb 10, 2019
Others
gate2019-in
numerical-answers
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0
votes
0
answers
447
GATE2019 IN: 47
The output of a continuous-time system y(t) is related to its input x(t) as y(t) = x(t) + $\frac{1}{2}$x(t-1). If the Fourier transforms of x(t) and y(t) are x($\omega$) and y($\omega$) respectively. and |x(0)|$^2$ = 4, the value of |y(0)|$^2$ is $\_\_\_\_$
The output of a continuous-time system y(t) is related to its input x(t) as y(t) = x(t) + $\frac{1}{2}$x(t-1). If the Fourier transforms of x(t) and y(t) are x($\omega$) ...
Arjun
2.9k
points
Arjun
asked
Feb 10, 2019
Others
gate2019-in
numerical-answers
+
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0
votes
0
answers
448
GATE2019 IN: 48
A discrete- time signal x[n] = e$^{j(\frac{5\pi}{3})n}$ + e$^{j(\frac{\pi}{4})n}$ is down-sampled to the signal x${_d}[n]$ such that x${_d}[n]$ = x[4n]. The fundamental period of the down-sampled signal x${_d}[n]$ is $\_\_\_\_\_\_$.
A discrete- time signal x[n] = e$^{j(\frac{5\pi}{3})n}$ + e$^{j(\frac{\pi}{4})n}$ is down-sampled to the signal x${_d}[n]$ such that x${_d}[n]$ = x[4n]. The fundamental...
Arjun
2.9k
points
Arjun
asked
Feb 10, 2019
Others
gate2019-in
numerical-answers
+
–
0
votes
0
answers
449
GATE2019 IN: 49
In a control system with unity gain feedback, the transfer function of the loop-gain function is L(S) = 9e$^{-0.1s}$/S. The phase margin of the loop-gain function L(S) is ${\_\_\_\_}$ degree
In a control system with unity gain feedback, the transfer function of the loop-gain function is L(S) = 9e$^{-0.1s}$/S. The phase margin of the loop-gain function L(S) is...
Arjun
2.9k
points
Arjun
asked
Feb 10, 2019
Others
gate2019-in
numerical-answers
+
–
0
votes
0
answers
450
GATE2019 IN: 50
In the circuit shown below, all transistors are n-channel enhancement mode MOSFETs. They are identical and are biased to operate in saturation mode. Ignoring channel length modulation, the output voltage V${_o}{_u}{_t}$ is ${\_\_\_\_\_}$ V.
In the circuit shown below, all transistors are n-channel enhancement mode MOSFETs. They are identical and are biased to operate in saturation mode. Ignoring channel leng...
Arjun
2.9k
points
Arjun
asked
Feb 10, 2019
Others
gate2019-in
numerical-answers
+
–
0
votes
0
answers
451
GATE2019 IN: 51
In the circuit shown below, all OPAMPS are ideal. The current I = 0 A when the resistance R = $\_\_\_\_\_$ k$\Omega$
In the circuit shown below, all OPAMPS are ideal. The current I = 0 A when the resistance R = $\_\_\_\_\_$ k$\Omega$
Arjun
2.9k
points
Arjun
asked
Feb 10, 2019
Others
gate2019-in
numerical-answers
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0
votes
0
answers
452
GATE2019 IN: 52
The parallel resistance-capacitance bridge shown below has a standard capacitance value of C${_1}$=0.1${_\mu}$F and a resistance value of R${_3}$=10 k$\Omega$. The bridge is balanced at a supply frequency of 100 Hz for R${_1}$=375 k$\Omega$, R${_3}$=10 k$\Omega$ and R${_4}$=14.7k$\Omega$. The value of the dissipation factor D=1/($\omega$R${_p}$C${_p}$) of the parallel combination of C${_p}$ and R${_p}$ is $\_\_\_\_\_\_\_\_\_$.(Answer should be rounded off to THREE decimal places)
The parallel resistance-capacitance bridge shown below has a standard capacitance value of C${_1}$=0.1${_\mu}$F and a resistance value of R${_3}$=10 k$\Omega$. The bridge...
Arjun
2.9k
points
Arjun
asked
Feb 10, 2019
Others
gate2019-in
numerical-answers
+
–
0
votes
0
answers
453
GATE2019 IN: 53
In a microprocessor with a 16 bit address bus, the most significant address lines A15 to A12 are used to select a 4096 word memory unit, while lines A0 to A11 are used to address a particular word in the memory unit. If the 3 least significant lines of the address bus A0 to A2 are short-circuited to ground, the addressable number of words in the memory unit is $\_\_\_\_\_$.
In a microprocessor with a 16 bit address bus, the most significant address lines A15 to A12 are used to select a 4096 word memory unit, while lines A0 to A11 are used to...
Arjun
2.9k
points
Arjun
asked
Feb 10, 2019
Digital Electronics
gate2019-in
numerical-answers
digital-electronics
microprocessor-8085
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0
votes
0
answers
454
GATE2019 IN: 54
A signal x(t) has a bandwidth 2B about a carrier frequency of f${_c}$ = 2 GHz as shown in Figure (a) below. In order to demodulate this signal, it is first mixed (multiplied) with a local oscillator of frequency f${_L}{_O}$ = 1.5 GHz, and then passed through an ideal low-pass filter (LPF) with a cut-off frequency ... Figure (b) below. The maximum value of B so that the signal x(t) can be reconstructed from its samples according to the Nyquist sampling theorem is $\_\_\_\_$ MHz.
A signal x(t) has a bandwidth 2B about a carrier frequency of f${_c}$ = 2 GHz as shown in Figure (a) below. In order to demodulate this signal, it is first mixed (multipl...
Arjun
2.9k
points
Arjun
asked
Feb 10, 2019
Others
gate2019-in
numerical-answers
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0
votes
0
answers
455
GATE2019 IN: 55
Consider a Michelson interferometer as shown in the figure below. When the wavelength of the laser light source is switched from 400 nanometer to 500 nanometer, it is observed that the intensity measured at the output port P goes from a minimum to maximum. This observation is possible when the smallest path difference between the two arms of the interferometer is $\_\_\_\_\_$ nanometer.
Consider a Michelson interferometer as shown in the figure below. When the wavelength of the laser light source is switched from 400 nanometer to 500 nanometer, it is obs...
Arjun
2.9k
points
Arjun
asked
Feb 10, 2019
Others
gate2019-in
numerical-answers
+
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0
votes
0
answers
456
GATE2016-GA-1
An apple costs Rs.$10$. An onion costs Rs.$8$. Select the most suitable sentence with respect to grammar and usage. The price of an apple is greater than an onion. The price of an apple is more than onion. The price of an apple is greater than that of an onion. Apples are more costlier than onions.
An apple costs Rs.$10$. An onion costs Rs.$8$.Select the most suitable sentence with respect to grammar and usage.The price of an apple is greater than an onion.The price...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Verbal Aptitude
gate2016-in
verbal-ability
english-grammar
+
–
0
votes
0
answers
457
GATE2016-GA-2
The Buddha said, “Holding on to anger is like $\underline{\text{grasping}}$ a hot coal with the intent of throwing it at someone else; you are the one who gets burnt. ” Select the word below which is closest in meaning to the word underlined above. burning igniting clutching flinging
The Buddha said, “Holding on to anger is like $\underline{\text{grasping}}$ a hot coal with the intent of throwing it at someone else; you are the one who gets burnt. �...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Verbal Aptitude
gate2016-in
verbal-ability
most-appropriate-word
+
–
0
votes
0
answers
458
GATE2016-GA-3
$M$ has a son $Q$ and a daughter $R.$ He has no other children. $E$ is the mother of $P$ and daughter-in-law of $M.$ How is $P$ related to $M?$ $P$ is the son-in-law of $M$ $P$ is the grandchild of $M$ $P$ is the daughter-in-law of $M$ $P$ is the grandfather of $M$
$M$ has a son $Q$ and a daughter $R.$ He has no other children. $E$ is the mother of $P$ and daughter-in-law of $M.$ How is $P$ related to $M?$$P$ is the son-in-law of $M...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Analytical Aptitude
gate2016-in
analytical-aptitude
logical-reasoning
family-relationships
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–
0
votes
0
answers
459
GATE2016-GA-4
The number that least fits this set$:(324,441,97$ and $64)$ is $324$ $441$ $97$ $64$
The number that least fits this set$:(324,441,97$ and $64)$ is$324$$441$$97$$64$
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Analytical Aptitude
gate2016-in
analytical-aptitude
logical-reasoning
sequence-series
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–
0
votes
0
answers
460
GATE2016-GA-5
It takes $10$s and $15$s, respectively, for two trains traveling at a different constant speeds to completely pass a telegraph post. The length of the first train is $120$ m and that of the second train is $150$ m. The magnitude of the difference in the speeds of the two trains (in m/s) is _________ $2.0$ $10.0$ $12.0$ $22.0$
It takes $10$s and $15$s, respectively, for two trains traveling at a different constant speeds to completely pass a telegraph post. The length of the first train is $120...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Quantitative Aptitude
gate2016-in
numerical-ability
speed-time-distance
+
–
0
votes
0
answers
461
GATE2016-GA-6
The velocity $V$ of a vehicle along a straight line is measured in m/s and plotted as shown with respect to time in seconds. At the end of the $7$ seconds, how much will the odometer reading increase by (in m)? $0$ $3$ $4$ $5$
The velocity $V$ of a vehicle along a straight line is measured in m/s and plotted as shown with respect to time in seconds. At the end of the $7$ seconds, how much will ...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Quantitative Aptitude
gate2016-in
numerical-ability
speed-time-distance
+
–
0
votes
0
answers
462
GATE2016-GA-7
The overwhelming number of people infected with rabies in India has been flagged by the World Health Organization as a source of concern. It is estimated that inoculating $70\%$ of pets and stray dogs against rabies can lead to a significant reduction in the number of people infected with rabies. Which of the following can be ... infected with rabies is low. Rabies can be eradicated in India by vaccinating $70\%$ of stray dogs. Stray dogs are the main source of rabies worldwide.
The overwhelming number of people infected with rabies in India has been flagged by the World Health Organization as a source of concern. It is estimated that inoculating...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Verbal Aptitude
gate2016-in
verbal-ability
verbal-reasoning
passage-reading
+
–
0
votes
0
answers
463
GATE2016-GA-8
A flat is shared by four first-year undergraduate students. They agreed to allow the oldest of them to enjoy some extra space in the flat. Manu is two months older than Sravan, who is three months younger than Trideep. Pavan is one month older than Sravan. Who should occupy the extra space in the flat? Manu Sravan Trideep Pavan
A flat is shared by four first-year undergraduate students. They agreed to allow the oldest of them to enjoy some extra space in the flat. Manu is two months older than S...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Analytical Aptitude
gate2016-in
analytical-aptitude
logical-reasoning
+
–
0
votes
0
answers
464
GATE2016-GA-9
Find the area bounded by the lines $3x+2y=14$, $2x-3y=5$ in the first quadrant. $14.95$ $15.25$ $15.70$ $20.35$
Find the area bounded by the lines $3x+2y=14$, $2x-3y=5$ in the first quadrant.$14.95$$15.25$$15.70$$20.35$
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Quantitative Aptitude
gate2016-in
numerical-ability
geometry
cartesian-coordinates
+
–
0
votes
0
answers
465
GATE2016-GA-10
A straight line is fit to a data set $(\text{ln }x,y).$ This line intercepts the abscissa at $\text{ln } x =0.1$ and has a slope of $-0.02$. What is the value of $y$ at $x=5$ from the fit? $-0.030$ $-0.014$ $0.014$ $0.030$
A straight line is fit to a data set $(\text{ln }x,y).$ This line intercepts the abscissa at $\text{ln } x =0.1$ and has a slope of $-0.02$. What is the value of $y$ at $...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Quantitative Aptitude
gate2016-in
numerical-ability
geometry
cartesian-coordinates
+
–
0
votes
0
answers
466
GATE 2016 - 1
A straight line of the form $y=mx+c$ passes through the origin and the point $(x,y)$ =$(2,6)$. The value of $m$ is _____.
A straight line of the form $y=mx+c$ passes through the origin and the point $(x,y)$ =$(2,6)$. The value of $m$ is _____.
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Calculus
gate2016-in
numerical-answers
calculus
cartesian-coordinates
+
–
0
votes
0
answers
467
GATE2016-2
$\underset{n\rightarrow \infty }{\lim}\:\left(\sqrt{n^2+n}-\sqrt{n^2+1}\right)$ is __________.
$\underset{n\rightarrow \infty }{\lim}\:\left(\sqrt{n^2+n}-\sqrt{n^2+1}\right)$ is __________.
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Calculus
gate2016-in
numerical-answers
calculus
limits
+
–
0
votes
0
answers
468
GATE2016-3
A voltage $V_1$ is measured $100$ times and its average and standard deviation are $100$ V and $1.5$ V respectively. A second voltage $V_2$, which is independent of $V_1$, is measured $200$ times and its average and standard deviation are $150$ V and $2$ V respectively. $V_3$ is computed as: $V_3$=$V_1$+$V_2$. Then the standard deviation of $V_3$ in volt is_____.
A voltage $V_1$ is measured $100$ times and its average and standard deviation are $100$ V and $1.5$ V respectively. A second voltage $V_2$, which is independent of $V_1...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Others
gate2016-in
numerical-answers
+
–
0
votes
0
answers
469
GATE2016-4
The vector that is $NOT$ perpendicular to the vectors $(i+j+k)$ and $(i+2j+3k)$ is ______. $(i-2j+k)$ $(-i+2j-k)$ $(0i+0j+0k)$ $(4i+3j+5k)$
The vector that is $NOT$ perpendicular to the vectors $(i+j+k)$ and $(i+2j+3k)$ is ______.$(i-2j+k)$ $(-i+2j-k)$$(0i+0j+0k)$$(4i+3j+5k)$
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Calculus
gate2016-in
calculus
vector-calculus
vector-identities
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–
0
votes
0
answers
470
GATE2016-5
In the neighborhood of $z=1$, the function $f(z)$ has a power series expansion of the form $f(z)$ = $1$ + $(1-z)$ + $(1-z)^2+ \ldots$ Then $f(z)$ is $\frac{1}{z}$ $\frac{-1}{z-2}$ $\frac{z-1}{z+}$ $\frac{1}{2z-1}$
In the neighborhood of $z=1$, the function $f(z)$ has a power series expansion of the form $f(z)$ = $1$ + $(1-z)$ + $(1-z)^2+ \ldots$Then $f(z)$ is$\frac{1}{z}$$\frac{-1}...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Analysis of complex variables
gate2016-in
analysis-of-complex-variables
taylor-series
+
–
0
votes
0
answers
471
GATE2016-6
Three currents $i_1, i_2$ and $i_3$ meet at a node as shown in the figure below. If $i_1=3\cos(\omega t)$ ampere, $i_2=4\sin(\omega t)$ ampere and $i_3=I_3\cos(\omega t+\theta)$ ampere, the value of $I_3$ in $\text{ampere}$ is $\_\_\_\_\_\_\_.$
Three currents $i_1, i_2$ and $i_3$ meet at a node as shown in the figure below. If $i_1=3\cos(\omega t)$ ampere, $i_2=4\sin(\omega t)$ ampere and $i_3=I_3\cos(\omega t+\...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Others
gate2016-in
numerical-answers
+
–
0
votes
0
answers
472
GATE2016-7
An air cored coil has a $Q$ of $5$ at a frequency of $100$ kHz. The $Q$ of the coil at $20$ kHz (neglecting skin effect) will be ________.
An air cored coil has a $Q$ of $5$ at a frequency of $100$ kHz. The $Q$ of the coil at $20$ kHz (neglecting skin effect) will be ________.
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Others
gate2016-in
numerical-answers
+
–
0
votes
0
answers
473
GATE2016-8
A current $i(t)$ shown in the figure below is passed through a $\text{1 F}$ capacitor that had zero initial charge. The voltage across the capacitor for $t>2s$ in $volt$ is $\_\_\_\_\_\_\_$.
A current $i(t)$ shown in the figure below is passed through a $\text{1 F}$ capacitor that had zero initial charge. The voltage across the capacitor for $t>2s$ in $volt$ ...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Others
gate2016-in
numerical-answers
+
–
0
votes
0
answers
474
GATE2016-9
The signal $x[n]$ shown in the figure below is convolved with itself to get $y[n]$. The value of $y[-1]$ is $\_\_\_\_\_\_\_\_.$
The signal $x[n]$ shown in the figure below is convolved with itself to get $y[n]$. The value of $y[-1]$ is $\_\_\_\_\_\_\_\_.$
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Others
gate2016-in
numerical-answers
+
–
0
votes
0
answers
475
GATE2016-10
In the circuit shown below $ (v_1+v_2) =[1\; \sin(2\pi10000t)] + 1\;\sin(2\pi30000t)] \;V.$ The $RMS$ value of the current through the resistor $R$ will be minimum if the value of the capacitor $C$ in $\text{microfarad}$ is ____________.
In the circuit shown below $ (v_1+v_2) =[1\; \sin(2\pi10000t)] + 1\;\sin(2\pi30000t)] \;V.$ The $RMS$ value of the current through the resistor $R$ will be minimum if th...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Others
gate2016-in
numerical-answers
+
–
0
votes
0
answers
476
GATE2016-11
If $X(s)$, the Laplace transform of signal $x(t)$ is given by $X(s) = \frac{(s+2)}{(s+1)(s+3)^2}$, then the value of $x(t)$ as $t\rightarrow \infty$ is ______.
If $X(s)$, the Laplace transform of signal $x(t)$ is given by $X(s) = \frac{(s+2)}{(s+1)(s+3)^2}$, then the value of $x(t)$ as $t\rightarrow \infty$ is ______.
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Others
gate2016-in
numerical-answers
+
–
0
votes
0
answers
477
GATE2016-12
The number of times the Nyquist plot of $G(s)= \frac{s-1}{s+1}$ will encircle the origin clockwise is _______.
The number of times the Nyquist plot of $G(s)= \frac{s-1}{s+1}$ will encircle the origin clockwise is _______.
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Others
gate2016-in
numerical-answers
+
–
0
votes
0
answers
478
GATE2016-13
The value of $a_0$ which will ensure that the polynomial $s^3$ + $3s^2$ + $2s$ + $a_0$ has roots on the left half of the $s$-plane is $11$ $9$ $7$ $5$
The value of $a_0$ which will ensure that the polynomial $s^3$ + $3s^2$ + $2s$ + $a_0$ has roots on the left half of the $s$-plane is$11$$9$$7$$5$
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Others
gate2016-in
+
–
0
votes
0
answers
479
GATE2016-14
The input $i(t)$ = $2\sin(3t+\pi)$ is applied to a system whose transfer function $G(s)=\frac{8}{(s+10)^2}$. The amplitude of the output of the system is _______.
The input $i(t)$ = $2\sin(3t+\pi)$ is applied to a system whose transfer function $G(s)=\frac{8}{(s+10)^2}$.The amplitude of the output of the system is _______.
Milicevic3306
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The diode $D$ used in the circuit below is ideal. The voltage drop $V_{ab}$ across the $1\;k\Omega$ resistor in $\text{volt}$ is $\_\_\_\_\_\_\_\_.$
The diode $D$ used in the circuit below is ideal. The voltage drop $V_{ab}$ across the $1\;k\Omega$ resistor in $\text{volt}$ is $\_\_\_\_\_\_\_\_.$
Milicevic3306
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