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2601
TIFR ECE 2020 | Question: 15
Suppose $\vec{u}, \vec{v}_{1}, \vec{v}_{2} \in \mathbb{R}^{n}$ are linearly independent vectors such that $\vec{v}_{1}^{T} \vec{v}_{2}=0$. Let the pair of real numbers $\left(a_{1}^{*}, a_{2}^{*}\right)$ be such that they solve the following optimization problem \[ ... $\left\|\vec{v}_{*}\right\|^{2}-\|\vec{u}\|^{2}$ $0$ None of the above
Suppose $\vec{u}, \vec{v}_{1}, \vec{v}_{2} \in \mathbb{R}^{n}$ are linearly independent vectors such that $\vec{v}_{1}^{T} \vec{v}_{2}=0$. Let the pair of real numbers $\...
admin
46.4k
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44
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admin
asked
Nov 30, 2022
Vector Analysis
tifrece2020
vector-analysis
vector-in-planes
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2602
GATE ECE 1997 | Question 5.6
Negative feedback in (1) Voltage series configuration increase input impedance (2) Current shunt configuration decrease input impedance increases closed loop gain leads to oscillation
Negative feedback in(1) Voltage series configurationincrease input impedance(2) Current shunt configurationdecrease input impedanceincreases closed loop gainleads to osci...
admin
46.4k
points
44
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admin
asked
Oct 2, 2022
Others
gate1997-ec
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2603
GATE ECE 1997 | Question 9
$\mathrm{A} \frac{\lambda}{2}$ section of a $600 \; \Omega$ transmission line, short circuited at one end and open circuited at the other end, is shown in the figure is $100 \mathrm{~V} / 75 \; \Omega$ generator is connected at the mid point of the section as shown in the figure. Find voltage at the open circuited end of the line.
$\mathrm{A} \frac{\lambda}{2}$ section of a $600 \; \Omega$ transmission line, short circuited at one end and open circuited at the other end, is shown in the figure is $...
admin
46.4k
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admin
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Oct 2, 2022
Others
gate1997-ec
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2604
GATE ECE 1997 | Question 21
In the figure is a linear time invariant discrete systme is shown. Blocks labelled $D$ represent unit delay elements. For $n<0$, you may assume that $x$ (n), $y_{1}(n), y_{2}(n)$ are all zero. Find the expression for $y_{1}(n)$ and $y_{2}(n)$ ... $y_{2}(n)$
In the figure is a linear time invariant discrete systme is shown. Blocks labelled $D$ represent unit delay elements. For $n<0$, you may assume that $x$ (n), $y_{1}(n), y...
admin
46.4k
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44
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admin
asked
Oct 2, 2022
Others
gate1997-ec
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2605
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...
admin
46.4k
points
44
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admin
asked
Sep 29, 2022
Others
gate2000-ec
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2606
GATE ECE 2002 | Question: 2.22
A plane wave is characterized by $\overline{\mathrm{E}}=\left(0.5 \hat{x}+\hat{y} e^{jz} / 2 \right)e^{jzet – jkz}.$ This wave is linearly polarized circularly polarized elliptically polarized unpolarized
A plane wave is characterized by $\overline{\mathrm{E}}=\left(0.5 \hat{x}+\hat{y} e^{jz} / 2 \right)e^{jzet – jkz}.$ This wave islinearly polarizedcircularly polarizede...
admin
46.4k
points
44
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admin
asked
Sep 27, 2022
Others
gate2002-ec
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2607
GATE ECE 2002 | Question: 16
A deterministic signal $x(t)=\cos 2 \pi t$ is passed through a differentiator as shown in the figure is Determine the autocorrelation $R_\mathrm{xx}(T)$ and the power spectral density $\mathrm{S}_{\mathrm{xx}}(f)$. Find the output power spectral density $S_\mathrm{yy}(f)$. Evaluate $\mathrm{R}_\mathrm{xy}(0)$ and $\mathrm{R}_\mathrm{xy}\left(\frac{1}{4}\right)$
A deterministic signal $x(t)=\cos 2 \pi t$ is passed through a differentiator as shown in the figure isDetermine the autocorrelation $R_\mathrm{xx}(T)$ and the power spec...
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46.4k
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admin
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Sep 27, 2022
Others
gate2002-ec
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2608
GATE ECE 2003 | Question: 41
At $300 \mathrm{~K}$, for a diode current of $1 \mathrm{~mA}$, a certain germanium diode requires a forward bias of $0.1435 \mathrm{~V}$, whereas a certain silicon diode requires a forward bias of $0.178 \mathrm{~V}$. Under the conditions stated above, ... saturation current in germanium diode to that in silicon diode is $1$ $5$ $4 \times 10^{3}$ $8 \times 10^{3}$
At $300 \mathrm{~K}$, for a diode current of $1 \mathrm{~mA}$, a certain germanium diode requires a forward bias of $0.1435 \mathrm{~V}$, whereas a certain silicon diode ...
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46.4k
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admin
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Sep 26, 2022
Others
gate2003-ec
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2609
GATE ECE 2003 | Question: 85
If the electric field intensity is given by \[\mathrm{E}=\left(x u_{x}+y u_{y}+z u_{z}\right) \text { volt } / \mathrm{m} \text {, }\] the potential difference between $X(2,0,0)$ and $Y(1,2,3)$ is $+1$ volt $-1$ volt $+5$ volt $+6$ volt
If the electric field intensity is given by\[\mathrm{E}=\left(x u_{x}+y u_{y}+z u_{z}\right) \text { volt } / \mathrm{m} \text {, }\]the potential difference between $X(2...
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46.4k
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admin
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Sep 26, 2022
Others
gate2003-ec
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2610
GATE ECE 2003 | Question: 88
A short-circuited stub is shunt connected to a transmission line as shown in the figure is. If $Z_{0}=50 \mathrm{ohm}$, the admittance $Y$ seen at the junction of the stub and the transmission line is $(0.01-j 0.02) \; \mathrm{mho}$ $(0.02-j 0.01) \; \mathrm{mho}$ $(0.04-j 0.02) \; \mathrm{mho}$ $(0.02+j 0) \; \mathrm{mho}$
A short-circuited stub is shunt connected to a transmission line as shown in the figure is. If $Z_{0}=50 \mathrm{ohm}$, the admittance $Y$ seen at the junction of the stu...
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46.4k
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44
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admin
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Sep 26, 2022
Others
gate2003-ec
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2611
GATE ECE 2004 | Question: 49
In the voltage regulator shown in the given figure, the load current can vary from $100 \mathrm{~mA}$ to $500 \mathrm{~mA}$. Assuming that the Zener diode is ideal (i.e., the Zener knee current is negligibly small and Zener resistance is zero in the breakdown region), the value of $R$ is $7 \; \Omega$ $70 \; \Omega$ $\frac{70}{3} \; \Omega$ $14 \; \Omega$
In the voltage regulator shown in the given figure, the load current can vary from $100 \mathrm{~mA}$ to $500 \mathrm{~mA}$. Assuming that the Zener diode is ideal (i.e.,...
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46.4k
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admin
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Sep 25, 2022
Others
gate2004-ec
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2612
GATE ECE 2005 | Question: 45
A Silicon PN junction diode under reverse bias has depletion region of width $10 \; \mu \mathrm{m}$. The relative permittivity of Silicon,$\varepsilon_{r}=11.7$ and the permittiveity of free space $\varepsilon_{0}=8.85 \times 10^{-12} \mathrm{~F/m}$. The depletion capacitance of the ... $10 \; \mu \mathrm{F}$. $1 \; \mu \mathrm{F}$. $20 \; \mu \mathrm{F}$.
A Silicon PN junction diode under reverse bias has depletion region of width $10 \; \mu \mathrm{m}$. The relative permittivity of Silicon,$\varepsilon_{r}=11.7$ and the p...
admin
46.4k
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admin
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Sep 22, 2022
Others
gate2005-ec
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2613
GATE ECE 2005 | Question: 47
The voltage $e_{0}$ indicated in the figure has been measured by an ideal voltmeter. Which of the following can be calculated? Bias current of the inverting input only Bias current of the inverting and non-inverting inputs only Input offset current only Both the bias currents and the input offset current.
The voltage $e_{0}$ indicated in the figure has been measured by an ideal voltmeter. Which of the following can be calculated?Bias current of the inverting input onlyBias...
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46.4k
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admin
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Sep 22, 2022
Others
gate2005-ec
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2614
GATE ECE 2005 | Question: 50
For an $n$-channel $\text{MOSFET}$ and its transfer curve shown in the figure, the threshold voltage is $1 \mathrm{~V}$ and the device is in active region. $-1 \mathrm{~V}$ and the device is in saturation region. $1 \mathrm{~V}$ and the device is in saturation region. $-1 \mathrm{~V}$ and the device is in active region.
For an $n$-channel $\text{MOSFET}$ and its transfer curve shown in the figure, the threshold voltage is$1 \mathrm{~V}$ and the device is in active region.$-1 \mathrm{~V}$...
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46.4k
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admin
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Sep 22, 2022
Others
gate2005-ec
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2615
GATE ECE 2005 | Question: 56
The present output $Q_{n}$ of an edge triggered JK flip-flop is logic $0.$ If $\mathrm{J}=1$, then $\mathrm{Q}_{n+1}$ cannot be determined will be logic $0$ will be logic $1$ will race around
The present output $Q_{n}$ of an edge triggered JK flip-flop is logic $0.$ If $\mathrm{J}=1$, then $\mathrm{Q}_{n+1}$cannot be determinedwill be logic $0$will be logic $1...
admin
46.4k
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admin
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Sep 22, 2022
Others
gate2005-ec
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2616
GATE ECE 1995 | Question 1.42
The signal to quantisation noise ratio in an $n$-bit $\text{PCM}$ system depends upon the sampling frequency employed is independent of the value of ' $n$ ' increases with increasing value of ' $n$ ' decreases with the increasing value of ' $n$ '
The signal to quantisation noise ratio in an $n$-bit $\text{PCM}$ systemdepends upon the sampling frequency employedis independent of the value of ' $n$ 'increases with i...
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46.4k
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admin
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Sep 21, 2022
Others
gate1995-ec
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2617
GATE ECE 2007 | Question: 52
A control system with a $\text{PD}$ controller is shown in the figure. If the velocity error constant $K_{v}=1000$ and the damping ratio $\zeta=0.5$, then the values of $K_{P}$ and $K_{D}$ are $K_{P}=100, K_{D}=0.09$ $K_{P}=100, K_{D}=0.9$ $K_{P}=10, K_{D}=0.09$ $K_{P}=10, K_{D}=0.9$
A control system with a $\text{PD}$ controller is shown in the figure. If the velocity error constant $K_{v}=1000$ and the damping ratio $\zeta=0.5$, then the values of $...
admin
46.4k
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admin
asked
Sep 19, 2022
Others
gate2007-ec
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2618
GATE ECE 2007 | Question: 76
Consider the Op-Amp circuit shown in the figure. The transfer function $V_{o}(s) / V_{i}(s)$ is $\frac{1-s R C}{1+s R C}$ $\frac{1+s R C}{1-s R C}$ $\frac{1}{1-s R C}$ $\frac{1}{1+s R C}$
Consider the Op-Amp circuit shown in the figure.The transfer function $V_{o}(s) / V_{i}(s)$ is$\frac{1-s R C}{1+s R C}$$\frac{1+s R C}{1-s R C}$$\frac{1}{1-s R C}$$\frac{...
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46.4k
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admin
asked
Sep 19, 2022
Others
gate2007-ec
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2619
GATE ECE 2009 | Question: 35
A small signal source $v_{i}(t)=A \cos 20 t+B \sin 10^{6} t$ is applied to a transistor amplifier as shown below. The transistor has $\beta=150$ and $h_{i e}=3 \; \mathrm{k} \Omega$. Which expression best approximates $v_{o}(t)$ ... $v_{o}(t)=-1500 B \sin 10^{6} t$ $v_{o}(t)=-150 B \sin 10^{6} t$
A small signal source $v_{i}(t)=A \cos 20 t+B \sin 10^{6} t$ is applied to a transistor amplifier as shown below. The transistor has $\beta=150$ and $h_{i e}=3 \; \mathrm...
admin
46.4k
points
44
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admin
asked
Sep 15, 2022
Others
gate2009-ec
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2620
GATE ECE 2009 | Question: 60
Two products are sold from a vending machine, which has two push buttons $P_{1}$ and $P_{2}$. When a button is pressed, the price of the corresponding product is displayed in a $7$-segment display. If no buttons are pressed, $'0'$ is displayed, signifying 'Rs. $0$'. ... display? $3$ NOT and $4$ OR $2$ NOT and $4$ OR $1$ NOT and $3$ OR $2$ NOT and $3$ OR
Two products are sold from a vending machine, which has two push buttons $P_{1}$ and $P_{2}$. When a button is pressed, the price of the corresponding product is displaye...
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46.4k
points
44
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admin
asked
Sep 15, 2022
Others
gate2009-ec
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2621
GATE ECE 2010 | Question: 24
Consider the pulse shape $s(t)$ as shown. The impulse response $h(t)$ of the filter matched to this pulse is
Consider the pulse shape $s(t)$ as shown. The impulse response $h(t)$ of the filter matched to this pulse is
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Sep 15, 2022
Others
gate2010-ec
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2622
GATE ECE 2010 | Question: 54
Statement for Linked Answer Questions 54 and 55: Consider a baseband binary PAM receiver shown below. The additive channel noise $n(t)$ is white with power spectral density $S_{N}(f)=N_{0} / 2=10^{-20}$ ... $V^{-1}$ ) is $10^{10}$ $10^{}$ $1.414 \times 10^{-10}$ $2 \times 10^{20}$
Statement for Linked Answer Questions 54 and 55:Consider a baseband binary PAM receiver shown below. The additive channel noise $n(t)$ is white with power spectral densit...
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Sep 15, 2022
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gate2010-ec
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2623
TIFR ECE 2013 | Question: 14
$X, Y, Z$ are integer valued random variables with the following two properties: $X$ and $Y$ are independent. For all integer $x$, conditioned on the event $\{X=x\}$, we have that $Y$ and $Z$ are independent (in other words, conditioned on ... and $Z$ are independent Conditioned on $Z$, the random variables $X$ and $Y$ are independent All of the above None of the above
$X, Y, Z$ are integer valued random variables with the following two properties:$X$ and $Y$ are independent.For all integer $x$, conditioned on the event $\{X=x\}$, we ha...
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46.4k
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43
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asked
Dec 12, 2022
Probability and Statistics
tifr2013
probability-and-statistics
probability
random-variable
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2624
GATE ECE 1997 | Question 28
The figure is shows the first stage of a superheterodyne receiver. The desired input signal is at a frequency of $700 \; \mathrm{MHz}$. The local oscillator $\text{(L.O)}$ frequency is $1 \; \mathrm{GHz}$. The mixer is an ideal multiplier with a ... undesired signal should be $20 \mathrm{~dB}$ below the desired signal. Calculate the $Q$ required for the $\text{(BPF)}$.
The figure is shows the first stage of a superheterodyne receiver. The desired input signal is at a frequency of $700 \; \mathrm{MHz}$. The local oscillator $\text{(L.O)}...
admin
46.4k
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43
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admin
asked
Oct 2, 2022
Others
gate1997-ec
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2625
GATE ECE 1998 | Question 8
The characteristic equation of a feedback control system is \[s^{4}+20 s^{3}+15 s^{2}+2 s+K=0\] Determine the range of $K$ for the system to be stable. Can the system be marginally stable? If so, find the required value of $K$ and the frequency of sustained oscillation.
The characteristic equation of a feedback control system is\[s^{4}+20 s^{3}+15 s^{2}+2 s+K=0\]Determine the range of $K$ for the system to be stable.Can the system be mar...
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46.4k
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admin
asked
Sep 26, 2022
Others
gate1998-ec
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2626
GATE ECE 2003 | Question: 75
The data for Q. 75-76 are given below. Solve the problems and choose the correct answers. Let $m(t)=\cos \left[\left(4 \pi \times 10^{3}\right) t\right]$ be the message signal and $\left.c(t)=5 \cos \left[2 \pi \times 10^{b}\right) t\right]$ ... $\frac{1}{2}$ $\frac{1}{4}$ $\frac{1}{3}$ $\frac{1}{8}$
The data for Q. 75-76 are given below. Solve the problems and choose the correct answers.Let $m(t)=\cos \left[\left(4 \pi \times 10^{3}\right) t\right]$ be the message si...
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46.4k
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admin
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Sep 26, 2022
Others
gate2003-ec
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2627
GATE ECE 2005 | Question: 52
The zener diode in the regulator circuit shown in the figure has a Zener voltage of $5.8$ volts and a Zener knee current of $0.5 \mathrm{~mA}$. The maximum load current drawn from this circuit ensuring proper functioning over the input voltage range between $20$ and $30$ volts, is $23.7 \mathrm{~mA}$. $14.2 \mathrm{~mA}$. $13.7 \mathrm{~mA}$. $24.2 \mathrm{~mA}$.
The zener diode in the regulator circuit shown in the figure has a Zener voltage of $5.8$ volts and a Zener knee current of $0.5 \mathrm{~mA}$. The maximum load current d...
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46.4k
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admin
asked
Sep 22, 2022
Others
gate2005-ec
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2628
GATE ECE 1995 | Question 1.27
To obtain very high input and output impedances in a feedback amplifier, the topolomostly used is voltage-series current-series voltage-shunt current-shunt
To obtain very high input and output impedances in a feedback amplifier, the topolomostly used isvoltage-seriescurrent-seriesvoltage-shuntcurrent-shunt
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46.4k
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admin
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Sep 21, 2022
Others
gate1995-ec
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2629
GATE ECE 1995 | Question 3.6
For an $\text{ADC}$, match the following (A) Flash converter (B) Dual slope converter (C) Successive approximation converter requires a conversion time of the order of a few seconds requires a digital-to-analog converter minimizes the effect of power supply interference requires a very complex hardware is a tracking $\text{A/D}$ convertes.
For an $\text{ADC}$, match the following(A) Flash converter(B) Dual slope converter(C) Successive approximation converterrequires a conversion time of the order of a few ...
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46.4k
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admin
asked
Sep 21, 2022
Others
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2630
GATE ECE 2006 | Question: 51
The minimum sampling frequency (in samples/sec) required to reconstruct the following signal from its samples without distortion \[ x(t)=5\left(\frac{\sin 2 \pi 1000 t}{\pi t}\right)^{3}+7\left(\frac{\sin 2 \pi 1000 t}{\pi t}\right)^{2} \] would be $2 \times 10^{3}$ $4 \times 10^{3}$ $6 \times 10^{3}$ $8 \times 10^{3}$
The minimum sampling frequency (in samples/sec) required to reconstruct the following signal from its samples without distortion\[ x(t)=5\left(\frac{\sin 2 \pi 1000 t}{\p...
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46.4k
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admin
asked
Sep 20, 2022
Others
gate2006-ec
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2631
GATE ECE 2008 | Question: 49
An $8085$ executes the following instructions $\begin{array}{lll} 2710 & \text { LXI} & \text{H,} & \text{30A0H } \\ 2713 & \text { DAD} & \text{H } \\ 2714 & \text { PCHL } \end{array}$ All addresses and constants are in Hex. ... $ \begin{array}{} \mathrm{PC}=6140 \mathrm{H} \\ \mathrm{HL}=2715 \mathrm{H} \end{array}$
An $8085$ executes the following instructions$\begin{array}{lll}2710 & \text { LXI} & \text{H,} & \text{30A0H } \\2713 & \text { DAD} & \text{H } \\2714 & \text { PCHL ...
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46.4k
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admin
asked
Sep 17, 2022
Others
gate2008-ec
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2632
GATE ECE 2009 | Question: 56
The amplitude of a random signal is uniformly distributed between $-5 \mathrm{~V}$ and $5 \mathrm{~V}$. If the positive values of the signal are uniformly quantized with a step size of $0.05 \mathrm{~V}$, and the negative values are uniformly quantized with a step ... noise ratio is approximately $46 \mathrm{~dB}$ $43.8 \mathrm{~dB}$ $42 \mathrm{~dB}$ $40 \mathrm{~dB}$
The amplitude of a random signal is uniformly distributed between $-5 \mathrm{~V}$ and $5 \mathrm{~V}$.If the positive values of the signal are uniformly quantized with a...
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46.4k
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admin
asked
Sep 15, 2022
Others
gate2009-ec
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2633
GATE ECE 2010 | Question: 7
Thin gate oxide in a $\text{CMOS}$ process is preferably grown using wet oxidation dry oxidation epitaxial deposition ion implantation
Thin gate oxide in a $\text{CMOS}$ process is preferably grown usingwet oxidationdry oxidationepitaxial depositionion implantation
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admin
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Sep 15, 2022
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gate2010-ec
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2634
GATE ECE 2010 | Question: 26
If $e^{y}=x^{\frac{1}{x}}$, then $y$ has a maximum at $x=e$ minimum at $x=e$ maximum at $x=e^{-1}$ minimum at $x=e^{-1}$
If $e^{y}=x^{\frac{1}{x}}$, then $y$ has amaximum at $x=e$minimum at $x=e$maximum at $x=e^{-1}$minimum at $x=e^{-1}$
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46.4k
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asked
Sep 15, 2022
Calculus
gate2010-ec
calculus
maxima-minima
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2635
GATE ECE 2010 | Question: 29
The residues of a complex function $X(z)=\dfrac{1-2 z}{z(z-1)(z-2)}$ at its poles are $\frac{1}{2},-\frac{1}{2}$ and $1$ $\frac{1}{2}, \frac{1}{2}$ and $-1$ $\frac{1}{2}, 1$ and $-\frac{3}{2}$ $\frac{1}{2},-1$ and $\frac{3}{2}$
The residues of a complex function $X(z)=\dfrac{1-2 z}{z(z-1)(z-2)}$ at its poles are$\frac{1}{2},-\frac{1}{2}$ and $1$$\frac{1}{2}, \frac{1}{2}$ and $-1$$\frac{1}{2}, 1$...
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46.4k
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Sep 15, 2022
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2636
GATE ECE 2010 | Question: 48
Consider the common emitter amplifier shown below with the following circuit parameters: ... The resistance seen by the source $\nu_{s}$ is $258 \; \Omega$ $1258 \; \Omega$ $93 \; \mathrm{k} \Omega$ $\infty$
Consider the common emitter amplifier shown below with the following circuit parameters: $\beta=100, g_{m}=0.3861 \mathrm{~A / V}, \mathrm{r}_{\mathrm{o}}=\infty, \mathrm...
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46.4k
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Sep 15, 2022
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2637
GATE ECE 2011 | Question: 47
A numerical solution of the equation $f(x)=x+\sqrt{x}-3=0$ can be obtained using Newton-Raphson method. If the starting value is $x=2$ for the iteration, the value of $x$ that is to be used in the next step is $0.306$ $0.739$ $1.694$ $2.306$
A numerical solution of the equation $f(x)=x+\sqrt{x}-3=0$ can be obtained using Newton-Raphson method. If the starting value is $x=2$ for the iteration, the value of $x$...
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46.4k
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admin
asked
Sep 3, 2022
Others
gate2011-ec
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2638
TIFR ECE 2013 | Question: 10
Consider the following series of square matrices: \[ \begin{array}{l} H_{1}=[1], \\ H_{2}=\left[\begin{array}{cc} 1 & 1 \\ 1 & -1 \end{array}\right], \end{array} \] and for $k=2,3, \ldots$, the $2^{k} \times 2^{k}$ matrix $H_{2^{k}}$ is recursively defined as \[ H_{2^{k}}=\ ... is $H_{2^{k}} H_{2^{k}}^{T}?)$ $0$ $2^{k}$ $2^{k / 2}$ $2^{k 2^{k-1}}$ $2^{k 2^{k}}$
Consider the following series of square matrices:\[\begin{array}{l}H_{1}= , \\H_{2}=\left[\begin{array}{cc}1 & 1 \\1 & -1\end{array}\right],\end{array}\]and for $k=2,3, \...
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TIFR ECE 2013 | Question: 12
Let $A$ be a Hermitian matrix and let $I$ be the Identity matrix with same dimensions as $A$. Then for a scalar $\alpha>0, A+\alpha I$ has the same eigenvalues as of $A$ but different eigenvectors the same eigenvalues and eigenvectors as of ... those of $A$ and same eigenvectors as of $A$ eigenvalues and eigenvectors with no relation to those of $A$ None of the above
Let $A$ be a Hermitian matrix and let $I$ be the Identity matrix with same dimensions as $A$. Then for a scalar $\alpha>0, A+\alpha I$ hasthe same eigenvalues as of $A$ b...
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TIFR ECE 2013 | Question: 13
Let $A$ be a square matrix and $x$ be a vector whose dimensions match $A$. Let $B^{\dagger}$ be the conjugate transpose of $B$. Then which of the following is not true: $x^{\dagger} A^{2} x$ is always non-negative $x^{\dagger} A x$ ... $A=A^{\dagger}$ then $x^{\dagger} A y$ is complex for some vector $y$ with same dimensions as $x$
Let $A$ be a square matrix and $x$ be a vector whose dimensions match $A$. Let $B^{\dagger}$ be the conjugate transpose of $B$. Then which of the following is not true:$x...
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