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482
GATE ECE 2000 | Question 9
The block diagram of a feedback system is shown in the figure. Find the closed loop transfer function. Find the minimum value of $G$ for which the step response of the system would exhibit an overshoot, as shown in figure. For G equal to twice this minimum value, find the time period $T$ indicated in the figure.
The block diagram of a feedback system is shown in the figure.Find the closed loop transfer function.Find the minimum value of $G$ for which the step response of the syst...
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486
GATE ECE 2000 | Question 13
The figure shows a common base amplifier. (a) Write expressions for the time-constants associated with the capacitors, $C_{B}$ and $C_{S}$. (b) What is the approximate lower cut-off frequency of the amplifier?
The figure shows a common base amplifier.(a) Write expressions for the time-constants associated with the capacitors, $C_{B}$ and $C_{S}$.(b) What is the approximate lowe...
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487
GATE ECE 2000 | Question 14
For the $\text{CMOS}$ monostable multivibrator of given figure, $\mathrm{R}=50 \mathrm{~kW}, \mathrm{C}=0.01 \; \mu \mathrm{F}, \mathrm{V}_{\mathrm{DD}}=5 \mathrm{~V}$, and the $\text{CMOS NOR}$ ... $v_{\mathrm{R}}(t)$, for $t>0$. Find the time period of the output pulse.
For the $\text{CMOS}$ monostable multivibrator of given figure, $\mathrm{R}=50 \mathrm{~kW}, \mathrm{C}=0.01 \; \mu \mathrm{F}, \mathrm{V}_{\mathrm{DD}}=5 \mathrm{~V}$, a...
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490
GATE ECE 2000 | Question 17
(a) The program and machine code for an $8085$ ... $\text{LDA} \; 2000 \; \mathrm{H}$ (c) Write an instruction which takes the minimum possible time to clear the accumulator of the $8085$.
(a) The program and machine code for an $8085$ microprocessor are given by$\begin{array}{lll}3 \mathrm{E} & \text {MVI} & \text {A} \\ \text {C3} & & \\ 00 & \text {NOP} ...
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491
GATE ECE 2000 | Question 18
A bandlimited signal $x(t)$ with $a^{\prime}$ spectrum $X(f)$ as shown in first figure is processed as shown in second figure is $p(t)$ ... Fourier Transform of $p(t)$. Obtain and sketch the spectrum of $x_{s}(t)$. Obtain and sketch the spectrum of $y(t)$.
A bandlimited signal $x(t)$ with $a^{\prime}$ spectrum $X(f)$ as shown in first figure is processed as shown in second figure is $p(t)$ is a periodic train of impulses as...
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493
GATE ECE 2000 | Question 20
Given $\mathrm{E}=10 e^{-f(4 x-k t)} \bar{y} \; \mathrm{V} / \mathrm{m}$ in free space: Write all the four Maxwell's equations in free space. Find $\nabla \times E$. Find $\mathrm{H}$.
Given $\mathrm{E}=10 e^{-f(4 x-k t)} \bar{y} \; \mathrm{V} / \mathrm{m}$ in free space:Write all the four Maxwell's equations in free space.Find $\nabla \times E$.Find $\...
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495
GATE ECE 2000 | Question 22
Designa lossless impedance matching network shown in figure to transform $Z_{L}=10+ j 10 \; \Omega$ to $Z_{\text {in }}=50 \; \Omega$. Find the values of $\text{L, C}$ and quality factor $(\mathrm{Q})$ of the circuit at $f=1 \; \mathrm{GHz}$.
Designa lossless impedance matching network shown in figure to transform $Z_{L}=10+ j 10 \; \Omega$ to $Z_{\text {in }}=50 \; \Omega$. Find the values of $\text{L, C}$ an...
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496
GATE ECE 1999 | Question 1.1
Identify which of the following is $\text{NOT}$ a true of the graph shown in the given figure is $begh$ $defg$ $adfg$ $aegh$
Identify which of the following is $\text{NOT}$ a true of the graph shown in the given figure is$begh$$defg$$adfg$$aegh$
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497
GATE ECE 1999 | Question 1.2
The $z$-transform $\mathrm{F}(z)$ of the function $f(n \mathrm{T})=a^{\prime \prime T}$ is $\frac{z}{z-a^{\mathrm{T}}}$ $\frac{z}{z+a^{\mathrm{T}}}$ $\frac{\mathrm{z}}{\mathrm{z}-\mathrm{a}^{-\mathrm{T}}}$ $\frac{z}{z+a^{-T}}$
The $z$-transform $\mathrm{F}(z)$ of the function $f(n \mathrm{T})=a^{\prime \prime T}$ is$\frac{z}{z-a^{\mathrm{T}}}$$\frac{z}{z+a^{\mathrm{T}}}$$\frac{\mathrm{z}}{\math...
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498
GATE ECE 1999 | Question 1.3
If $[f(t)]=\mathrm{F}(s)$, then $[f(t-\mathrm{T})]$ is equal to $e^{s \mathrm{T}} \mathrm{~F}(s)$ $e^{-s \mathrm{T}} \mathrm{~F}(s)$ $\frac{\mathrm{F}(s)}{1-e^{s T}}$ $\frac{\mathrm{F}(s)}{1-e^{-\mathrm{sT}}}$
If $[f(t)]=\mathrm{F}(s)$, then $[f(t-\mathrm{T})]$ is equal to$e^{s \mathrm{T}} \mathrm{~F}(s)$$e^{-s \mathrm{T}} \mathrm{~F}(s)$$\frac{\mathrm{F}(s)}{1-e^{s T}}$$\frac{...
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499
GATE ECE 1999 | Question 1.4
A $2$-port network is shown in the given figure. The parameter $h_{21}$ for this network can be given by $-1 / 2$ $+1 / 2$ $-3 / 2$ $+3 / 2$
A $2$-port network is shown in the given figure. The parameter $h_{21}$ for this network can be given by$-1 / 2$$+1 / 2$$-3 / 2$$+3 / 2$
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500
GATE ECE 1999 | Question 1.5
The early effect in a bipolar junction transistor is caused by fast turn-on fast turn-off large collector-base reverse bias large emitter-base forward bias
The early effect in a bipolar junction transistor is caused byfast turn-onfast turn-offlarge collector-base reverse biaslarge emitter-base forward bias
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501
GATE ECE 1999 | Question 1.6
The first dominant pole encountered in the frequency response of a compensated $\text{op - amp}$ is approximately at $5 \; \mathrm{~Hz}$ $10 \; \mathrm{kHz}$ $1 \; \mathrm{MHz}$ $100 \; \mathrm{MHz}$
The first dominant pole encountered in the frequency response of a compensated $\text{op - amp}$ is approximately at$5 \; \mathrm{~Hz}$$10 \; \mathrm{kHz}$$1 \; \mathrm{M...
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502
GATE ECE 1999 | Question 1.7
Negative feedback in an amplifier reduces gain increases frequency and phase distortions reduces bandwidth increases noise
Negative feedback in an amplifierreduces gainincreases frequency and phase distortionsreduces bandwidthincreases noise
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504
GATE ECE 1999 | Question 1.9
Crossover distortion behaviour is characteristic of Class $\text{A}$ output stage Class $\text{B}$ output stage Class $\mathrm{AB}$ output stage Common - base output stage
Crossover distortion behaviour is characteristic ofClass $\text{A}$ output stageClass $\text{B}$ output stageClass $\mathrm{AB}$ output stageCommon - base output stage
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505
GATE ECE 1999 | Question 1.10
The logical expresion $y=\mathrm{A}+\overline{\mathrm{A}} \mathrm{B} $ is equivalent to $y=\mathrm{AB}$ $y=\overline{\mathrm{A}} \mathrm{B}$ $y=\bar{A}+\mathrm{B}$ $y=\mathrm{A}+\mathrm{B}$
The logical expresion $y=\mathrm{A}+\overline{\mathrm{A}} \mathrm{B} $ is equivalent to$y=\mathrm{AB}$$y=\overline{\mathrm{A}} \mathrm{B}$$y=\bar{A}+\mathrm{B}$$y=\mathr...
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506
GATE ECE 1999 | Question 1.11
A Darlington emitter - follower circuit is sometimes used in the output stage of a $\text{TTL}$ gate in order to increase its $\mathrm{I}_{\mathrm{OL}}$ reduce its $\mathrm{I}_{\mathrm{OH}}$ increase its speed of operation reduce power dissipation
A Darlington emitter - follower circuit is sometimes used in the output stage of a $\text{TTL}$ gate in order toincrease its $\mathrm{I}_{\mathrm{OL}}$reduce its $\mathrm...
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507
GATE ECE 1999 | Question 1.12
Commercially available $\text{ECL}$ gears use two ground lines and one negative supply in order to reduce power dissipation increase fan-out reduce loading effect eliminate the effect of power line glitches or the biasing circuit
Commercially available $\text{ECL}$ gears use two ground lines and one negative supply in order toreduce power dissipationincrease fan-outreduce loading effecteliminate t...
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508
GATE ECE 1999 | Question 1.13
The resolution of a $4$ - bit counting $\text{ADC}$ is $0.5$ volts. For an analog input of $6.6$ volts, the digital output of the $\text{ADC}$ will be $1011$ $1101$ $1100$ $1110$
The resolution of a $4$ - bit counting $\text{ADC}$ is $0.5$ volts. For an analog input of $6.6$ volts, the digital output of the $\text{ADC}$ will be$1011$$1101$$1100$$1...
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509
GATE ECE 1999 | Question 1.14
For a second-order system with the closed-loop transfer function \[T(s)=\frac{9}{s^{2}+4 s+9}\] the settling time for $2$ - percent band, in seconds, is $1.5$ $2.0$ $3.0$ $4.0$
For a second-order system with the closed-loop transfer function\[T(s)=\frac{9}{s^{2}+4 s+9}\]the settling time for $2$ - percent band, in seconds, is$1.5$$2.0$$3.0$$4.0$...
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510
GATE ECE 1999 | Question 1.15
The gain margin (in $d \mathrm{B}$ ) of a system a having the loop transfer function \[\mathrm{G}(s) \mathrm{H}(s)=\frac{\sqrt{2}}{s(s+1)} \text { is }\] $0$ $3$ $6$ $\infty$
The gain margin (in $d \mathrm{B}$ ) of a system a having the loop transfer function\[\mathrm{G}(s) \mathrm{H}(s)=\frac{\sqrt{2}}{s(s+1)} \text { is }\]$0$$3$$6$$\infty$
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512
GATE ECE 1999 | Question 1.17
The phase margin (in degrees) of a system having the loop transfer function \[ \mathrm{G}(s) \mathrm{H}(s)=\frac{2 \sqrt{3}}{s(s+1)} \text { is } \] $45^{\circ}$ $-30^{\circ}$ $60^{\circ}$ $30^{\circ}$
The phase margin (in degrees) of a system having the loop transfer function\[\mathrm{G}(s) \mathrm{H}(s)=\frac{2 \sqrt{3}}{s(s+1)} \text { is }\]$45^{\circ}$$-30^{\circ}$...
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513
GATE ECE 1999 | Question 1.18
A signal $x(t)$ has a Fourier transform $X(\omega)$. If $x(t)$ is a real and odd function of $t$, then $X(\omega)$ is a real and even function of $\omega$ a imaginary and odd function of $\omega$ an imaginary and even function of $\omega$ a real and odd function of $\omega$
A signal $x(t)$ has a Fourier transform $X(\omega)$. If $x(t)$ is a real and odd function of $t$, then $X(\omega)$ isa real and even function of $\omega$a imaginary and o...
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517
GATE ECE 1999 | Question 1.22
An electric field on a plane is described by its potential \[\mathrm{V}=20\left(r^{-1}+r^{-2}\right)\] where $r$ is the distance from the source. The field is due to a monopole a dipole both a monopole and a dipole a quadrupole
An electric field on a plane is described by its potential\[\mathrm{V}=20\left(r^{-1}+r^{-2}\right)\]where $r$ is the distance from the source. The field is due toa monop...
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518
GATE ECE 1999 | Question 1.23
Assuming perfect conductors of a transmission line, pure $\text{TEM}$ propagation is $\text{NOT}$ possible in coaxial cable air-filled cylindrical waveguide parallel twin-wire line in air semi-infinite parallel plate wave guide
Assuming perfect conductors of a transmission line, pure $\text{TEM}$ propagation is $\text{NOT}$ possible incoaxial cableair-filled cylindrical waveguideparallel twin-wi...
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519
GATE ECE 1999 | Question 1.24
Indicate which one of the following will $\text{NOT}$ exist in a rectangular resonant cavity. $\mathrm{TE}_{110}$ $\mathrm{TE}_{011}$ $\mathrm{TM}_{110}$ $\mathrm{TM}_{111}$
Indicate which one of the following will $\text{NOT}$ exist in a rectangular resonant cavity.$\mathrm{TE}_{110}$$\mathrm{TE}_{011}$$\mathrm{TM}_{110}$$\mathrm{TM}_{111}$
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520
GATE ECE 1999 | Question 1.25
Identify which one of the following will $\text{NOT}$ satisfy the wave equation. $50 \; e^{f(\omega t-3 z)}$ $\sin [\omega(10 z+5 t)]$ $\cos \left(y^{2}+5 t\right)$ $\sin (x) \cos (t)$
Identify which one of the following will $\text{NOT}$ satisfy the wave equation.$50 \; e^{f(\omega t-3 z)}$$\sin [\omega(10 z+5 t)]$$\cos \left(y^{2}+5 t\right)$$\sin (x)...
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