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1601
GATE ECE 2011 | Question: 13
A transmission line of characteristic impedance $50\; \Omega$ is terminated by a $50\; \Omega$ load. When excited by a sinusoidal voltage source at $10\; \mathrm{GHz}$, the phase difference between two points spaced $2 \mathrm{~mm}$ ... $1.6 \times 10^8 \mathrm{~m} / \mathrm{s}$ $3 \times 10^8 \mathrm{~m} / \mathrm{s}$
A transmission line of characteristic impedance $50\; \Omega$ is terminated by a $50\; \Omega$ load. When excited by a sinusoidal voltage source at $10\; \mathrm{GHz}$, t...
1 votes
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1602
GATE ECE 2011 | Question: 14
Consider the following statements regarding the complex Poynting vector $\vec{P}$ for the power radiated by a point source in an infinite homogeneous and lossless medium. $\operatorname{Re}(\vec{P})$ denotes the real part of $\vec{P}, S$ denotes a ... decreases with increasing radial distance from the source
Consider the following statements regarding the complex Poynting vector $\vec{P}$ for the power radiated by a point source in an infinite homogeneous and lossless medium....
1 votes
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1604
GATE ECE 2011 | Question: 17
A system is defined by its impulse response $h(n)=2^n u(n-2)$. The system is stable and causal causal but not stable stable but not causal unstable and noncausal
A system is defined by its impulse response $h(n)=2^n u(n-2)$. The system isstable and causalcausal but not stablestable but not causalunstable and noncausal
1 votes
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1606
GATE ECE 2011 | Question: 21
Drift current in semiconductors depends upon only the electric field only the carrier concentration gradient both the electric field and the carrier concentration both the electric field and the carrier concentration gradient
Drift current in semiconductors depends upononly the electric fieldonly the carrier concentration gradientboth the electric field and the carrier concentrationboth the el...
1 votes
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1607
GATE ECE 2011 | Question: 22
A Zener diode, when used in voltage stabilization circuits, is biased in reverse bias region below the breakdown voltage reverse breakdown region forward bias region forward bias constant current mode
A Zener diode, when used in voltage stabilization circuits, is biased in reverse bias region below the breakdown voltagereverse breakdown regionforward bias regionforward...
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1608
GATE ECE 2011 | Question: 23
The circuit shown below is driven by a sinusoidal input $\mathrm{v}_{\mathrm{i}}=\mathrm{V}_{\mathrm{P}} \cos (\mathrm{t} / \mathrm{RC})$. The steady state output $\text{v}_\text{o}$ is $\left(\mathrm{V}_p / 3\right) \cos (\mathrm{t / R C})$ ... $\left(\mathrm{V}_p / 2\right) \sin (\mathrm{t / R C})$
The circuit shown below is driven by a sinusoidal input $\mathrm{v}_{\mathrm{i}}=\mathrm{V}_{\mathrm{P}} \cos (\mathrm{t} / \mathrm{RC})$. The steady state output $\text{...
1 votes
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1609
GATE ECE 2011 | Question: 24
Consider a closed surface $S$ surrounding a volume V. If $\vec{r}$ is the position vector of a point inside $S$, with $\hat{n}$ the unit normal on $S$, the value of the integral $\unicode{x222F}_S \; 5 \vec{r} . \hat{n} d S$ is $3 \mathrm{V}$ $5 \mathrm{V}$ $10 \mathrm{V}$ $15 \mathrm{V}$
Consider a closed surface $S$ surrounding a volume V. If $\vec{r}$ is the position vector of a point inside $S$, with $\hat{n}$ the unit normal on $S$, the value of the i...
1 votes
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1610
GATE ECE 2011 | Question: 26
The electric and magnetic fields for a $\text{TEM}$ wave of frequency $14 \; \mathrm{GHz}$ in a homogeneous medium of relative permittivity $\varepsilon_r$ and relative permeability $\mu_r=1$ ... $\varepsilon_r=3, E_p=360 \pi$ $\varepsilon_r=9, E_p=360 \pi$ $\varepsilon_r=9, E_p=120 \pi$
The electric and magnetic fields for a $\text{TEM}$ wave of frequency $14 \; \mathrm{GHz}$ in a homogeneous medium of relative permittivity $\varepsilon_r$ and relative p...
1 votes
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1612
GATE ECE 2011 | Question: 28
The block diagram of a system with one input $u$ and two outputs $y_1$ and $y_2$ is given below. A state space model of the above system in terms of the state vector $\underline{x}$ ...
The block diagram of a system with one input $u$ and two outputs $y_1$ and $y_2$ is given below.A state space model of the above system in terms of the state vector $\und...
1 votes
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1613
GATE ECE 2011 | Question: 29
Two systems $H_1(z)$ and $H_2(z)$ are connected in cascade as shown below. The overall output $y(n)$ is the same as the input $x(n)$ with a one unit delay. The transfer function of the second system $\mathrm{H}_2(z)$ ... $\frac{\left(1-0.4 z^{-1}\right)}{z^{-1}\left(1-0.6 z^{-1}\right)}$
Two systems $H_1(z)$ and $H_2(z)$ are connected in cascade as shown below. The overall output $y(n)$ is the same as the input $x(n)$ with a one unit delay. The transfer f...
1 votes
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1614
GATE ECE 2011 | Question: 30
An $8085$ ... $8 \mathrm{CH}$ $64 \mathrm{H}$ $23 \mathrm{H}$ $15 \mathrm{H}$
An $8085$ assembly language program is given below. Assume that the carry flag is initially unset. The content of the accumulator after the execution of the program is$$\...
1 votes
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1615
GATE ECE 2011 | Question: 31
The first six points of the $8$-point $\text{DFT}$ of a real valued sequence are $5,1-\mathrm{j} 3,0,3-\mathrm{j} 4,0$ and $3+\mathrm{j} 4$. The last two points of the $\text{DFT}$ are respectively $0,1-\mathrm{j} 3$ $0,1+\mathrm{j} 3$ $1+\mathrm{j} 3,5$ $1-\mathrm{j} 3,5$
The first six points of the $8$-point $\text{DFT}$ of a real valued sequence are $5,1-\mathrm{j} 3,0,3-\mathrm{j} 4,0$ and $3+\mathrm{j} 4$. The last two points of the $\...
1 votes
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1617
GATE ECE 2011 | Question: 33
In the circuit shown below, the network $\mathrm{N}$ is described by the following $Y$ matrix: $Y=\left[\begin{array}{cc}0.1 \mathrm{~S} & -0.01 \mathrm{~S} \\ 0.01 \mathrm{~S} & 0.1 \mathrm{~S}\end{array}\right]$. The voltage gain $\dfrac{V_2}{V_1}$ is $1 / 90$ $ – 1 / 90$ $ – 1 / 99$ $ – 1 / 11$
In the circuit shown below, the network $\mathrm{N}$ is described by the following $Y$ matrix:$Y=\left[\begin{array}{cc}0.1 \mathrm{~S} & -0.01 \mathrm{~S} \\ 0.01 \mathr...
1 votes
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1622
GATE ECE 2011 | Question: 40
The output of a $3$-stage Johnson (twisted-ring) counter is fed to a digital-to-analog (D/A) converter as shown in the figure below. Assume all states of the counter to be unset initially. The waveform which represents the D/A converter output $\mathrm{V}_{\mathrm{o}}$ is
The output of a $3$-stage Johnson (twisted-ring) counter is fed to a digital-to-analog (D/A) converter as shown in the figure below. Assume all states of the counter to b...
1 votes
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1624
GATE ECE 2011 | Question: 43
An input $\mathrm{x(t)}=\exp (-2 \mathrm{t)u(t})+\delta(\mathrm{t}-6)$ is applied to an LTI system with impulse response $\mathrm{h(t)=u(t})$. The output is $[1-\exp (-2 \mathrm{t)] u(t)+u(t}+6)$ $[1-\exp (-2 \mathrm{t)] u(t)+u(t}-6)$ $0.5[1-\exp (-2 \mathrm{t)] u(t)+u(t}+6)$ $0.5[1-\exp (-2 \mathrm{t)] u(t)+u(t}-6)$
An input $\mathrm{x(t)}=\exp (-2 \mathrm{t)u(t})+\delta(\mathrm{t}-6)$ is applied to an LTI system with impulse response $\mathrm{h(t)=u(t})$. The output is$[1-\exp (-2 \...
1 votes
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1626
GATE ECE 2011 | Question: 45
If $F(s)=L[f(t)]=\dfrac{2(s+1)}{s^2+4 s+7}$ then the initial and final values of $f(t)$ are respectively $0,2$ $2,0$ $0, 2 / 7$ $2 / 7,0$
If $F(s)=L[f(t)]=\dfrac{2(s+1)}{s^2+4 s+7}$ then the initial and final values of $f(t)$ are respectively$0,2$$2,0$$0, 2 / 7$$2 / 7,0$
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1627
GATE ECE 2011 | Question: 46
In the circuit shown below, the current $\text{I}$ is equal to $1.4 \angle 0^{\circ} \; \mathrm{A}$ $2.0 \angle 0^{\circ} \; \mathrm{A}$ $2.8 \angle 0^{\circ} \; \mathrm{A}$ $3.2 \angle 0^{\circ} \; \mathrm{A}$
In the circuit shown below, the current $\text{I}$ is equal to$1.4 \angle 0^{\circ} \; \mathrm{A}$$2.0 \angle 0^{\circ} \; \mathrm{A}$$2.8 \angle 0^{\circ} \; \mathrm{A}$...
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1628
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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1629
GATE ECE 2011 | Question: 48
The channel resistance of an $\text{N}$-channel $\text{JFET}$ shown in the figure below is $600 \; \Omega$ when the full channel thickness $\left(\mathrm{t}_{\mathrm{ch}}\right)$ of $10 \; \mu \mathrm{m}$ ... $480 \; \Omega$ $600 \; \Omega$ $750 \; \Omega$ $1000 \; \Omega$
The channel resistance of an $\text{N}$-channel $\text{JFET}$ shown in the figure below is $600 \; \Omega$ when the full channel thickness $\left(\mathrm{t}_{\mathrm{ch}}...
1 votes
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1631
GATE ECE 2011 | Question: 50
The input-output transfer function of a plant $H(s)=\frac{100}{s(s+10)^2}$. The plant is placed in a unity negative feedback configuration as shown in the figure below. The signal flow graph that DOES NOT model the plant $\operatorname{transfer~function~} H(s)$ is
The input-output transfer function of a plant $H(s)=\frac{100}{s(s+10)^2}$. The plant is placed in a unity negative feedback configuration as shown in the figure below.Th...
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1632
GATE ECE 2011 | Question: 51
The input-output transfer function of a plant $H(s)=\frac{100}{s(s+10)^2}$. The plant is placed in a unity negative feedback configuration as shown in the figure below. The gain margin of the system under closed loop unity negative feedback is $0 \mathrm{~dB}$ $20 \mathrm{~dB}$ $26 \mathrm{~dB}$ $46 \mathrm{~dB}$
The input-output transfer function of a plant $H(s)=\frac{100}{s(s+10)^2}$. The plant is placed in a unity negative feedback configuration as shown in the figure below.Th...
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1635
GATE ECE 2011 | Question: 54
In the circuit shown below, assume that the voltage drop across a forward biased diode is $0.7 \mathrm{~V}$. The thermal voltage $\mathrm{V}_{\mathrm{t}}=\mathrm{kT} / \mathrm{q}=25 \mathrm{mV}$ ... $1 \mathrm{~mA}$ $1.28 \mathrm{~mA}$ $1.5 \mathrm{~mA}$ $2 \mathrm{~mA}$
In the circuit shown below, assume that the voltage drop across a forward biased diode is $0.7 \mathrm{~V}$. The thermal voltage $\mathrm{V}_{\mathrm{t}}=\mathrm{kT} / \m...
1 votes
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1636
GATE ECE 2011 | Question: 55
In the circuit shown below, assume that the voltage drop across a forward biased diode is $0.7 \mathrm{~V}$. The thermal voltage $\mathrm{V}_{\mathrm{t}}=\mathrm{kT} / \mathrm{q}=25 \mathrm{mV}$ ... $2 \cos (\omega \mathrm{t}) \; \mathrm{mV}$ $22 \cos (\omega \mathrm{t}) \; \mathrm{mV}$
In the circuit shown below, assume that the voltage drop across a forward biased diode is $0.7 \mathrm{~V}$. The thermal voltage $\mathrm{V}_{\mathrm{t}}=\mathrm{kT} / \m...
1 votes
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1637
GATE ECE 2011 | Question: 64
Given that $\mathrm{f(y})=|\mathrm{y}| / \mathrm{y},$ and $\mathrm{q}$ is any non-zero real number, the value of $|\mathrm{f}(\mathrm{q})-\mathrm{f}(-\mathrm{q})|$ is $0$ $-1$ $1$ $2$
Given that $\mathrm{f(y})=|\mathrm{y}| / \mathrm{y},$ and $\mathrm{q}$ is any non-zero real number, the value of $|\mathrm{f}(\mathrm{q})-\mathrm{f}(-\mathrm{q})|$ is$0$$...
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1638
GATE ECE 2022 | Question: 1
Consider the two-dimensional vector field $\overrightarrow{\rm F}(x, y) = x \overrightarrow{i} + y \overrightarrow{j},$ where $\overrightarrow{i}$ and $\overrightarrow{j}$ denote the unit vectors along the $x - $axis and the $y - $ ... $0$ $1$ $8 + 2 \pi$ $ - 1$
Consider the two-dimensional vector field $\overrightarrow{\rm F}(x, y) = x \overrightarrow{i} + y \overrightarrow{j},$ where $\overrightarrow{i}$ and $\overrightarrow{j}...
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1640
GATE ECE 2022 | Question: 3
The current $I$ in the circuit shown is ______________. $1.25 \times 10^{-3} \; \text{A}$ $0.75 \times 10^{-3} \; \text{A}$ $ – 0.5 \times 10^{-3} \; \text{A}$ $1.16 \times 10^{-3} \; \text{A}$
The current $I$ in the circuit shown is ______________.$1.25 \times 10^{-3} \; \text{A}$$0.75 \times 10^{-3} \; \text{A}$$ – 0.5 \times 10^{-3} \; \text{A}$$1.16 \times...
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