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Recent questions tagged gateece-2022
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GATE ECE 2022 | GA Question: 1
Mr. $\text{X}$ speaks __________ Japanese ____________ Chinese. neither /or either / nor neither / nor also / but
Mr. $\text{X}$ speaks __________ Japanese ____________ Chinese.neither /oreither / norneither / noralso / but
Arjun
6.5k
points
900
views
Arjun
asked
Feb 15, 2022
Verbal Aptitude
gateece-2022
verbal-aptitude
most-appropriate-word
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2
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GATE ECE 2022 | GA Question: 2
A sum of money is to be distributed among $\text{P, Q, R,}$ and $\text{S}$ in the proportion $5:2:4:3,$ respectively. If $\text{R}$ gets ₹ $ 1000$ more than $\text{S},$ what is the share of $\text{Q (in ₹)}?$ $500$ $1000$ $1500$ $2000$
A sum of money is to be distributed among $\text{P, Q, R,}$ and $\text{S}$ in the proportion $5:2:4:3,$ respectively.If $\text{R}$ gets ₹ $ 1000$ more than $\text{S},$...
Arjun
6.5k
points
376
views
Arjun
asked
Feb 15, 2022
Quantitative Aptitude
gateece-2022
quantitative-aptitude
ratio-proportions
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GATE ECE 2022 | GA Question: 3
A trapezium has vertices marked as $\text{P, Q, R}$ and $\text{S}$ (in that order anticlockwise). The side $\text{PQ}$ is parallel to side $\text{SR}.$ Further, it is given that, $\text{PQ = 11 cm, QR = 4 cm, RS = 6 cm}$ and $\text{SP = 3 cm.}$ What is the shortest distance between $\text{PQ}$ and $\text{SR (in cm)}?$ $1.80$ $2.40$ $4.20$ $5.76$
A trapezium has vertices marked as $\text{P, Q, R}$ and $\text{S}$ (in that order anticlockwise). The side $\text{PQ}$ is parallel to side $\text{SR}.$Further, it is give...
Arjun
6.5k
points
1.6k
views
Arjun
asked
Feb 15, 2022
Quantitative Aptitude
gateece-2022
quantitative-aptitude
geometry
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GATE ECE 2022 | GA Question: 4
The figure shows a grid formed by a collection of unit squares. The unshaded unit square in the grid represents a hole. What is the maximum number of squares without a “hole in the interior” that can be formed within the $4 \times 4$ grid using the unit squares as building blocks? $15$ $20$ $21$ $26$
The figure shows a grid formed by a collection of unit squares. The unshaded unit square in the grid represents a hole.What is the maximum number of squares without a “...
Arjun
6.5k
points
1.4k
views
Arjun
asked
Feb 15, 2022
Spatial Aptitude
gateece-2022
spatial-aptitude
patterns-in-two-dimensions
counting-figure
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GATE ECE 2022 | GA Question: 5
An art gallery engages a security guard to ensure that the items displayed are protected. The diagram below represents the plan of the gallery where the boundary walls are opaque. The location the security guard posted is identified such that all the inner space (shaded region in the plan) ... $\text{Q}$ $\text{Q}$ $\text{Q}$ and $\text{S}$ $\text{R}$ and $\text{S}$
An art gallery engages a security guard to ensure that the items displayed are protected. The diagram below represents the plan of the gallery where the boundary walls ar...
Arjun
6.5k
points
951
views
Arjun
asked
Feb 15, 2022
Spatial Aptitude
gateece-2022
spatial-aptitude
patterns-in-two-dimensions
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GATE ECE 2022 | GA Question: 6
Mosquitoes pose a threat to human health. Controlling mosquitoes using chemicals may have undesired consequences. In Florida, authorities have used genetically modified mosquitoes to control the overall mosquito population. It remains to be ... may have undesired consequences but it is not clear if using genetically modified mosquitoes has any negative consequence
Mosquitoes pose a threat to human health. Controlling mosquitoes using chemicals may have undesired consequences. In Florida, authorities have used genetically modified m...
Arjun
6.5k
points
816
views
Arjun
asked
Feb 15, 2022
Analytical Aptitude
gateece-2022
analytical-aptitude
logical-reasoning
passage-reading
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GATE ECE 2022 | GA Question: 7
Consider the following inequalities. $2x – 1 > 7$ $2x – 9 < 1$ Which one of the following expressions below satisfies the above two inequalities? $x \leq – 4$ $ – 4 < x \leq 4$ $4 < x < 5$ $x \geq 5$
Consider the following inequalities.$2x – 1 7$$2x – 9 < 1$Which one of the following expressions below satisfies the above two inequalities?$x \leq – 4$$ – 4 < x...
Arjun
6.5k
points
330
views
Arjun
asked
Feb 15, 2022
Quantitative Aptitude
gateece-2022
quantitative-aptitude
inequality
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GATE ECE 2022 | GA Question: 8
Four points $\text{P(0, 1), Q(0, – 3), R( – 2, – 1),}$ and $\text{S(2, – 1)}$ represent the vertices of a quadrilateral. What is the area enclosed by the quadrilateral? $4$ $4 \sqrt{2}$ $8$ $8 \sqrt{2}$
Four points $\text{P(0, 1), Q(0, – 3), R( – 2, – 1),}$ and $\text{S(2, – 1)}$ represent the vertices of a quadrilateral.What is the area enclosed by the quadrilat...
Arjun
6.5k
points
829
views
Arjun
asked
Feb 15, 2022
Quantitative Aptitude
gateece-2022
quantitative-aptitude
cartesian-coordinates
area
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GATE ECE 2022 | GA Question: 9
In a class of five students $\text{P, Q, R, S}$ and $\text{T},$ ... given above, the person who has copied in the exam is $\text{R}$ $\text{P}$ $\text{Q}$ $\text{T}$
In a class of five students $\text{P, Q, R, S}$ and $\text{T},$ only one student is known to have copied in the exam. The disciplinary committee has investigated the situ...
Arjun
6.5k
points
1.1k
views
Arjun
asked
Feb 15, 2022
Analytical Aptitude
gateece-2022
analytical-aptitude
logical-reasoning
statements-follow
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GATE ECE 2022 | GA Question: 10
Consider the following square with the four corners and the center marked as $\text{P, Q, R, S}$ and $\text{T}$ respectively. Let $\text{X, Y}$ and $\text{Z}$ represent the following operations: $\text{X:}$ rotation of the square by $180$ ... The sequence of operations $(2)$ and $(3)$ are equivalent The sequence of operations $(1), (2)$ and $(3)$ are equivalent
Consider the following square with the four corners and the center marked as $\text{P, Q, R, S}$ and $\text{T}$ respectively.Let $\text{X, Y}$ and $\text{Z}$ represent th...
Arjun
6.5k
points
1.0k
views
Arjun
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Feb 15, 2022
Spatial Aptitude
gateece-2022
spatial-aptitude
rotation
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GATE ECE 2022 | Question: 1
Consider the two-dimensional vector field $\overrightarrow{\rm F}(x, y) = x \overrightarrow{i} + y \overrightarrow{j},$ where $\overrightarrow{i}$ and $\overrightarrow{j}$ denote the unit vectors along the $x - $axis and the $y - $ ... $0$ $1$ $8 + 2 \pi$ $ - 1$
Consider the two-dimensional vector field $\overrightarrow{\rm F}(x, y) = x \overrightarrow{i} + y \overrightarrow{j},$ where $\overrightarrow{i}$ and $\overrightarrow{j}...
Arjun
6.5k
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441
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Arjun
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Feb 15, 2022
Others
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GATE ECE 2022 | Question: 2
Consider a system of linear equations $Ax = b,$ where $A =\begin{bmatrix} 1 & – \sqrt{2} & 3 \\ – 1 & \sqrt{2} & – 3 \end{bmatrix}, \quad b = \begin{bmatrix} 1 \\ 3 \end{bmatrix}.$ This system of equations admits ______________. a unique solution for $x$ infinitely many solutions for $x$ no solutions for $x$ exactly two solutions for $x$
Consider a system of linear equations $Ax = b,$ where$A =\begin{bmatrix} 1 & – \sqrt{2} & 3 \\ – 1 & \sqrt{2} & – 3 \end{bmatrix}, \quad b = \begin{bmatrix} 1 \\ 3 ...
Arjun
6.5k
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247
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Arjun
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Feb 15, 2022
Others
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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}$$1.16 \times...
Arjun
6.5k
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177
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Feb 15, 2022
Others
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GATE ECE 2022 | Question: 4
Consider the circuit shown in the figure. The current $I$ flowing through the $10 \; \Omega$ resistor is _____________. $1 \; \text{A}$ $0 \; \text{A}$ $0.1 \; \text{A}$ $ – 0.1 \; \text{A}$
Consider the circuit shown in the figure. The current $I$ flowing through the $10 \; \Omega$ resistor is _____________.$1 \; \text{A}$$0 \; \text{A}$$0.1 \; \text{A}$$ �...
Arjun
6.5k
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186
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Arjun
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Feb 15, 2022
Others
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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^{– ...
Arjun
6.5k
points
182
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Arjun
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Feb 15, 2022
Others
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GATE ECE 2022 | Question: 6
Consider a long rectangular bar of direct bandgap $p-$type semiconductor. The equilibrium hole density is $10^{17} \; \text{cm}^{-3}$ and the intrinsic carrier concentration is $10^{10} \; \text{cm}^{-3}.$ Electron and hole diffusion lengths are $2 \; \mu\text{m}$ ... $3.7 \times 10^{14} \; \text{cm}^{-3}$ $10^{3} \; \text{cm}^{-3}$
Consider a long rectangular bar of direct bandgap $p-$type semiconductor. The equilibrium hole density is $10^{17} \; \text{cm}^{-3}$ and the intrinsic carrier concentrat...
Arjun
6.5k
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210
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Arjun
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Feb 15, 2022
Others
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GATE ECE 2022 | Question: 7
In a non-degenerate bulk semiconductor with electron density $n = 10^{16} \; \text{cm}^{-3},$ the value of $E_{c} - E_{Fn} = 200 \; \text{meV},$ where $E_{c}$ and $E_{Fn}$ denote the bottom of the conduction band energy and electron Fermi level energy, ... given options, is ____________. $226 \; \text{meV}$ $174 \; \text{meV}$ $218 \; \text{meV}$ $182 \; \text{meV}$
In a non-degenerate bulk semiconductor with electron density $n = 10^{16} \; \text{cm}^{-3},$ the value of $E_{c} – E_{Fn} = 200 \; \text{meV},$ where $E_{c}$ and $E_{F...
Arjun
6.5k
points
284
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Arjun
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Feb 15, 2022
Others
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GATE ECE 2022 | Question: 8
Consider the $\text{CMOS}$ circuit shown in the figure (substrates are connected to their respective sources). The gate width $(W)$ to gate length $(L)$ ratios $\left( \frac{W}{L} \right)$ of the transistors are as shown. Both the transistors have the same gate oxide capacitance ... $2\; \text{V}$ less than $2 \; \text{V}$ equal to $2 \; \text{V}$
Consider the $\text{CMOS}$ circuit shown in the figure (substrates are connected to their respective sources). The gate width $(W)$ to gate length $(L)$ ratios $\left( \f...
Arjun
6.5k
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233
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Arjun
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Feb 15, 2022
Others
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GATE ECE 2022 | Question: 9
Consider the $ \text{2-bit}$ multiplexer $\text{(MUX)}$ shown in the figure. For $\text{OUTPUT}$ to be the $\text{XOR}$ of $\text{C}$ and $\text{D},$ the values for $A_{0}, A_{1}, A_{2},$ and $A_{3}$ are _______________. $A_{0} = 0, A_{1} = 0, A_{2} = 1, A_{3} = 1$ ... $A_{0} = 0, A_{1} = 1, A_{2} = 1, A_{3} = 0$ $A_{0} = 1, A_{1} = 1, A_{2} = 0, A_{3} = 0$
Consider the $ \text{2–bit}$ multiplexer $\text{(MUX)}$ shown in the figure. For $\text{OUTPUT}$ to be the $\text{XOR}$ of $\text{C}$ and $\text{D},$ the values for $A_...
Arjun
6.5k
points
355
views
Arjun
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Feb 15, 2022
Others
gateece-2022
multiplexers
combinational-circuits
digital-circuits
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GATE ECE 2022 | Question: 10
The ideal long channel $n\text{MOSFET}$ and $p\text{MOSFET}$ devices shown in the circuits have threshold voltages of $1 \; \text{V}$ and $ - 1 \; \text{V},$ respectively. The $\text{MOSFET}$ substrates are connected to their respective sources. Ignore leakage currents and assume that the ... $V_{1} = 4 \; \text{V}, \quad V_{2} = - 5 \; \text{V}$
The ideal long channel $n\text{MOSFET}$ and $p\text{MOSFET}$ devices shown in the circuits have threshold voltages of $1 \; \text{V}$ and $ – 1 \; \text{V},$ respective...
Arjun
6.5k
points
291
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Arjun
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Feb 15, 2022
Others
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GATE ECE 2022 | Question: 11
Consider a closed-loop control system with unity negative feedback and $KG(s)$ in the forward path. where the gain $K = 2.$ The complete Nyquist plot of the transfer function $G(s)$ is shown in the figure. Note that the Nyquist contour has been ... of the closed-loop transfer function in the closed right-half of the complex plane is ________________. $0$ $1$ $2$ $3$
Consider a closed-loop control system with unity negative feedback and $KG(s)$ in the forward path. where the gain $K = 2.$ The complete Nyquist plot of the transfer func...
Arjun
6.5k
points
221
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Feb 15, 2022
Others
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GATE ECE 2022 | Question: 12
The root-locus plot of a closed-loop system with unity negative feedback and transfer function $KG(s)$ in the forward path is shown in the figure. Note that $K$ is varied from $0$ to $\infty.$ Select the transfer function $G(s)$ that results in the root-locus plot of the closed-loop system as ... $G(s) = \frac{s - 1}{(s+1)^{6}}$ $G(s) = \frac{s + 1}{s^{6}+1}$
The root-locus plot of a closed-loop system with unity negative feedback and transfer function $KG(s)$ in the forward path is shown in the figure. Note that $K$ is varied...
Arjun
6.5k
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173
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Feb 15, 2022
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GATE ECE 2022 | Question: 13
The frequency response $H(f)$ of a linear time-invariant system has magnitude as shown in the figure. Statement $\text{I}:$ The system is necessarily a pure delay system for inputs which are bandlimited to $ - \alpha \leq f \leq \alpha.$ Statement ... $\text{II}$ is correct Statement $\text{I}$ is incorrect, Statement $\text{II}$ is incorrect
The frequency response $H(f)$ of a linear time-invariant system has magnitude as shown in the figure.Statement $\text{I}:$ The system is necessarily a pure delay system f...
Arjun
6.5k
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198
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Feb 15, 2022
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GATE ECE 2022 | Question: 14
In a circuit, there is a series connection of an ideal resistor and an ideal capacitor. The conduction current $\text{(in Amperes)}$ through the resistor is $2\sin (t+\pi/2).$ The displacement current $\text{(in Amperes)}$ through the capacitor is ______________. $2 \sin (t)$ $2 \sin (t + \pi)$ $2 \sin(t + \pi/2)$ $0$
In a circuit, there is a series connection of an ideal resistor and an ideal capacitor. The conduction current $\text{(in Amperes)}$ through the resistor is $2\sin (t+\pi...
Arjun
6.5k
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225
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Feb 15, 2022
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GATE ECE 2022 | Question: 15
Consider the following partial differential equation $\text{(PDE)}$ $a \frac{ \partial^{2} f(x ,y)}{\partial x^{2}} + b \frac{ \partial^{2} f(x ,y)}{\partial y^{2}} = f(x, y),$ where $a$ and $b$ are distinct positive real numbers. Select the combination(s) of values of the ... $\xi = 0, \eta = 0$ $\xi = \frac{1}{\sqrt{a}}, \eta = \frac{1}{\sqrt{b}}$
Consider the following partial differential equation $\text{(PDE)}$$$a \frac{ \partial^{2} f(x ,y)}{\partial x^{2}} + b \frac{ \partial^{2} f(x ,y)}{\partial y^{2}} = f(x...
Arjun
6.5k
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139
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Arjun
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Feb 15, 2022
Others
gateece-2022
multiple-selects
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GATE ECE 2022 | Question: 16
An ideal $\text{OPAMP}$ circuit with a sinusoidal input is shown in the figure. The $3 \; \text{dB}$ frequency is the frequency at which the magnitude of the voltage gain decreases by $3 \; \text{dB}$ from the maximum value. Which of the options is/are correct? The circuit ... $1000 \; \text{rad/s}.$ The $3 \; \text{dB}$ frequency is $\frac{1000}{3} \; \text{rad/s}.$
An ideal $\text{OPAMP}$ circuit with a sinusoidal input is shown in the figure. The $3 \; \text{dB}$ frequency is the frequency at which the magnitude of the voltage gain...
Arjun
6.5k
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179
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Arjun
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Feb 15, 2022
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GATE ECE 2022 | Question: 17
Select the Boolean function(s) equivalent to $x+yz,$ where $x, y,$ and $z$ are Boolean variables, and $+$ denotes logical $\text{OR}$ operation. $x + z + xy$ $(x + y)(x + z)$ $x + xy + yz$ $x + xz + xy$
Select the Boolean function(s) equivalent to $x+yz,$ where $x, y,$ and $z$ are Boolean variables, and $+$ denotes logical $\text{OR}$ operation.$x + z + xy$$(x + y)(x + z...
Arjun
6.5k
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572
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Arjun
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Feb 15, 2022
Others
gateece-2022
multiple-selects
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GATE ECE 2022 | Question: 18
Select the correct statement(s) regarding $\text{CMOS}$ implementation of $\text{NOT}$ gates. Noise Margin High $(NM_{H})$ is always equal to the Noise Margin Low $(NM_{L}),$ irrespective of the sizing of transistors. Dynamic power consumption ... $\text{NOT}$ gate.
Select the correct statement(s) regarding $\text{CMOS}$ implementation of $\text{NOT}$ gates.Noise Margin High $(NM_{H})$ is always equal to the Noise Margin Low $(NM_{L}...
Arjun
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138
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Feb 15, 2022
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GATE ECE 2022 | Question: 19
Let $H(X)$ denote the entropy of a discrete random variable $X$ taking $K$ possible distinct real values. Which of the following statements is/are necessarily true? $H(X) \leq \log_{2} K \; \text{bits}$ $H(X) \leq H (2X)$ $H(X) \leq H (X^{2})$ $H(X) \leq H (2^{X})$
Let $H(X)$ denote the entropy of a discrete random variable $X$ taking $K$ possible distinct real values. Which of the following statements is/are necessarily true?$H(X) ...
Arjun
6.5k
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178
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Arjun
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Feb 15, 2022
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gateece-2022
multiple-selects
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GATE ECE 2022 | Question: 20
Consider the following wave equation, $\frac{\partial^{2}f(x, t)}{\partial t^{2}} = 10000 \frac{\partial^{2}f(x, t)}{\partial x^{2}} $ Which of the given options is/are solution(s) to the given wave equation? $f(x, t) = e^{ - (x-100t)^{2}} + e^{ - (x+100t)^{2}}$ ... $f(x, t) = e^{ j 100 \pi (- 100x + t)} + e^{ j 100 \pi (100x + t)}$
Consider the following wave equation,$$\frac{\partial^{2}f(x, t)}{\partial t^{2}} = 10000 \frac{\partial^{2}f(x, t)}{\partial x^{2}} $$Which of the given options is/are s...
Arjun
6.5k
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Arjun
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Feb 15, 2022
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gateece-2022
multiple-selects
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GATE ECE 2022 | Question: 21
The bar graph shows the frequency of the number of wickets taken in a match by a bowler in her career. For example, in $17$ of her matches, the bowler has taken $5$ wickets each. The median number of wickets taken by the bowler in a match is _______________ (rounded off to one decimal place).
The bar graph shows the frequency of the number of wickets taken in a match by a bowler in her career. For example, in $17$ of her matches, the bowler has taken $5$ wicke...
Arjun
6.5k
points
694
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Arjun
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Feb 15, 2022
Analytical Aptitude
gateece-2022
numerical-answers
bar-graph
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GATE ECE 2022 | Question: 22
A simple closed path $C$ in the complex plane is shown in the figure. If $\oint_{c} \frac{2^{z}}{z^{2} – 1}dz = – i \pi A,$ where $i = \sqrt{-1},$ then the value of $A$ is _________ (rounded off to two decimal places).
A simple closed path $C$ in the complex plane is shown in the figure. If$$\oint_{c} \frac{2^{z}}{z^{2} – 1}dz = – i \pi A,$$where $i = \sqrt{-1},$ then the value of $...
Arjun
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numerical-answers
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GATE ECE 2022 | Question: 23
Let $x_{1} (t) = e^{-t}u(t)$ and $x_{2}(t) = u(t) – u(t – 2),$ where $u(\cdot)$ denotes the unit step function. If $y(t)$ denotes the convolution of $x_{1}(t)$ and $x_{2}(t),$ then $\displaystyle \lim_{t \rightarrow \infty} y(t) =$ ______________ (rounded off to one decimal place).
Let $x_{1} (t) = e^{-t}u(t)$ and $x_{2}(t) = u(t) – u(t – 2),$ where $u(\cdot)$ denotes the unit step function.If $y(t)$ denotes the convolution of $x_{1}(t)$ and $x...
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155
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numerical-answers
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GATE ECE 2022 | Question: 24
An ideal $\text{MOS}$ capacitor (p-type semiconductor) is shown in the figure. The $\text{MOS}$ capacitor is under strong inversion with $V_{G} = 2 \; \text{V}.$ The corresponding inversion charge density $(Q_{IN})$ is $2.2 \; \mu \text{C /cm}^{2}.$ ... $Q_{IN}$ is ______________ $\mu \text{C/cm}^{2}$ (rounded off to one decimal place).
An ideal $\text{MOS}$ capacitor (p-type semiconductor) is shown in the figure. The $\text{MOS}$ capacitor is under strong inversion with $V_{G} = 2 \; \text{V}.$ The corr...
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Feb 15, 2022
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GATE ECE 2022 | Question: 25
A symbol stream contains alternate $\text{QPSK}$ and $\text{16-QAM}$ symbols. If symbols from this stream are transmitted at the rate of $1$ mega-symbols per second, the raw (uncoded) data rate is ____________ mega-bits per second (rounded off to one decimal place).
A symbol stream contains alternate $\text{QPSK}$ and $\text{16-QAM}$ symbols. If symbols from this stream are transmitted at the rate of $1$ mega-symbols per second, the ...
Arjun
6.5k
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215
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GATE ECE 2022 | Question: 26
The function $f(x) = 8 \log_{e} x – x^{2} + 3$ attains its minimum over the interval $[1, e]$ at $x = $____________. (Here $\log_{e}x$ is the natural logarithm of $x$.) $2$ $1$ $e$ $\frac{1+e}{2}$
The function $f(x) = 8 \log_{e} x – x^{2} + 3$ attains its minimum over the interval $[1, e]$ at $x = $____________.(Here $\log_{e}x$ is the natural logarithm of $x$.)$...
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GATE ECE 2022 | Question: 27
Let $\alpha, \beta$ be two non-zero real numbers and $v_{1}, v_{2}$ be two non-zero real vectors of size $3 \times 1.$ Suppose that $v_{1}$ and $v_{2}$ satisfy $v_{1}^{T} v_{2} = 0, v_{1}^{T} v_{1} = 1,$ and $v_{2}^{T} v_{2} = 1.$ Let $A$ be ... $0, \alpha+\beta, \alpha-\beta$ $0, \frac{\alpha+\beta}{2}, \sqrt{\alpha \beta}$ $0, 0, \sqrt{\alpha^{2} + \beta^{2}}$
Let $\alpha, \beta$ be two non-zero real numbers and $v_{1}, v_{2}$ be two non-zero real vectors of size $3 \times 1.$ Suppose that $v_{1}$ and $v_{2}$ satisfy $v_{1}^{T}...
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38
GATE ECE 2022 | Question: 28
For the circuit shown, the locus of the impedance $Z (j \omega)$ is plotted as $\omega$ increases from zero to infinity. The values of $R_{1}$ and $R_{2}$ are: $R_{1} = 2 \; \text{k} \Omega, R_{2} = 3 \; \text{k} \Omega$ ... $R_{1} = 2 \; \text{k} \Omega, R_{2} = 5 \; \text{k} \Omega$
For the circuit shown, the locus of the impedance $Z (j \omega)$ is plotted as $\omega$ increases from zero to infinity. The values of $R_{1}$ and $R_{2}$ are:$R_{1} = 2 ...
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GATE ECE 2022 | Question: 29
Consider the circuit shown in the figure with input $V(t)$ in volts. The sinusoidal steady state current $I(t)$ flowing through the circuit is shown graphically (where $t$ is in seconds). The circuit element $Z$ can be ____________. a capacitor of $1 \; \text{F}$ an inductor of $1 \; \text{H}$ a capacitor of $\sqrt{3} \; \text{F}$ an inductor of $\sqrt{3} \; \text{H}$
Consider the circuit shown in the figure with input $V(t)$ in volts. The sinusoidal steady state current $I(t)$ flowing through the circuit is shown graphically (where $t...
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40
GATE ECE 2022 | Question: 30
Consider an ideal long channel $n \text{MOSFET}$ (enhancement-mode) with gate length $10 \; \mu \text{m}$ and width $100 \; \mu \text{m}.$ The product of electron mobility $(\mu_{n})$ and oxide capacitance per unit area $(C_{\text{ox}})$ ... -to-source current is _____________. $40 \; \text{mA}$ $20 \; \text{mA}$ $15 \; \text{mA}$ $5 \; \text{mA}$
Consider an ideal long channel $n \text{MOSFET}$ (enhancement-mode) with gate length $10 \; \mu \text{m}$ and width $100 \; \mu \text{m}.$ The product of electron mobilit...
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