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Recent questions tagged gate2014-ec-3
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41
GATE ECE 2014 Set 3 | Question: 30
Consider the building block called ‘Network N’ shown in the figure. Let $C= 100\mu F$ and $R= 10 k \Omega.$ Two such blocks are connected in cascade, as shown in the figure. The transfer function $\frac{V_{3}(s)}{V_{1}(s)}$ of the cascaded network is $\frac{s}{1+s} \\$ $\frac{s^{2}}{1+3s+s^{2}} \\$ $\left ( \frac{s}{1+s} \right )^{2} \\$ $\frac{s}{2+s}$
Consider the building block called ‘Network N’ shown in the figure. Let $C= 100\mu F$ and $R= 10 k \Omega.$ Two such blocks are connect...
Milicevic3306
16.0k
points
328
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Mar 26, 2018
Network Solution Methods
gate2014-ec-3
network-solution-methods
transfer-function
+
–
0
votes
0
answers
42
GATE ECE 2014 Set 3 | Question: 32
In the circuit shown in the figure, the angular frequency $\omega$ (in rad/s), at which the Norton equivalent impedance as seen from terminals $b-b'$ is purely resistive, is ________.
In the circuit shown in the figure, the angular frequency $\omega$ (in rad/s), at which the Norton equivalent impedance as seen from terminals $b-b'$ is purely resistive,...
Milicevic3306
16.0k
points
137
views
Milicevic3306
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Mar 26, 2018
Electromagnetics
gate2014-ec-3
numerical-answers
electromagnetics
impedance
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–
0
votes
0
answers
43
GATE ECE 2014 Set 3 | Question: 33
For the $Y$-network shown in the figure, the value of $R_{1}$ (in $\Omega$) in the equivalent $\Delta$-network is __________.
For the $Y$-network shown in the figure, the value of $R_{1}$ (in $\Omega$) in the equivalent $\Delta$-network is __________.
Milicevic3306
16.0k
points
88
views
Milicevic3306
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Mar 26, 2018
Network Solution Methods
gate2014-ec-3
numerical-answers
network-solution-methods
+
–
0
votes
0
answers
44
GATE ECE 2014 Set 3 | Question: 34
The donor and accepter impurities in an abrupt junction silicon diode are $1\times 10^{16} cm^{-3}$ and $5\times 10^{18}$cm^{-3}$, respectively. Assume that the intrinsic carrier concentration in silicon $n_{i}= 1.5\times 10^{10}cm^{-3}$ at $300K, \frac{kT}{q}= 26$ $ ... $0.7$ $V$ and $3.3\times 10^{-5} cm$ $0.86$ $V$ and $3.3\times 10^{-5} cm$
The donor and accepter impurities in an abrupt junction silicon diode are $1\times 10^{16} cm^{-3}$ and $5\times 10^{18}$$cm^{-3}$, respectively. Assume that the intrinsi...
Milicevic3306
16.0k
points
77
views
Milicevic3306
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Mar 26, 2018
Electronic Devices
gate2014-ec-3
electronic-devices
intrinsic-and-extrinsic-silicon
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–
0
votes
0
answers
45
GATE ECE 2014 Set 3 | Question: 35
The slope of the $I_{D}$ vs. $V_{GS}$ curve of an n-channel MOSEFT in linear regime is $10^{-3}\Omega ^{-1}$ at $V_{DS}= 0.1 \: V$. For the same device, neglecting channel length modulation, the slope of the $\sqrt{I_{D} }$ vs. $V_{GS}$ curve (in $\sqrt{A}/V$) under saturation regime is approximately _________.
The slope of the $I_{D}$ vs. $V_{GS}$ curve of an n-channel MOSEFT in linear regime is $10^{-3}\Omega ^{-1}$ at $V_{DS}= 0.1 \: V$. For the same device, neglecting channe...
Milicevic3306
16.0k
points
106
views
Milicevic3306
asked
Mar 26, 2018
Electronic Devices
gate2014-ec-3
numerical-answers
electronic-devices
mosfet
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–
0
votes
0
answers
46
GATE ECE 2014 Set 3 | Question: 36
An ideal MOS capacitor has boron doping-concentration of $10^{15}cm^{-3}$ in the substrate. When a gate voltage is applied, a depletion region of width $0.5$ $\mu m$ is formed with a surface (channel) potential of $0.2$ $V$. Given that ... silicon dioxide are $12$ and $4$, respectively, the peak electric field (in $V/\mu m$) in the oxide region is _______________.
An ideal MOS capacitor has boron doping-concentration of $10^{15}cm^{-3}$ in the substrate. When a gate voltage is applied, a depletion region of width $0.5$ $\mu m$ is f...
Milicevic3306
16.0k
points
151
views
Milicevic3306
asked
Mar 26, 2018
Electronic Devices
gate2014-ec-3
numerical-answers
electronic-devices
mos-capacitor
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–
0
votes
0
answers
47
GATE ECE 2014 Set 3 | Question: 37
In the circuit shown, the silicon BJT has $\beta = 50$. Assume $V_{BE}= 0.7 \: V$ and $V_{CE(sat)}= 0.2 \: V$. Which one of the following statements is correct? For $R_{C}= 1$ $k$\Omega$, the BJT operates in the saturation region For $R_{ ... $k$\Omega$, the BJT operates in the cut-off region For $R_{C}= 20$ $k$\Omega$, the BJT operates in the linear region
In the circuit shown, the silicon BJT has $\beta = 50$. Assume $V_{BE}= 0.7 \: V$ and $V_{CE(sat)}= 0.2 \: V$. Which one of the following statements is correct? ...
Milicevic3306
16.0k
points
100
views
Milicevic3306
asked
Mar 26, 2018
Analog Circuits
gate2014-ec-3
bipolar-junction-transistor
analog-circuits
+
–
0
votes
0
answers
48
GATE ECE 2014 Set 3 | Question: 38
Assuming that the Op-amp in the circuit shown is ideal, $V_{o}$ is given by $\frac{5}{2}V_{1}-3V_{2} \\$ $2V_{1}-\frac{5}{2}V_{2} \\$ $-\frac{3}{2}V_{1}+\frac{7}{2}V_{2} \\$ $-3V_{1}+\frac{11}{2}V_{2}$
Assuming that the Op-amp in the circuit shown is ideal, $V_{o}$ is given by $\frac{5}{2}V_{1}-3V_{2} \\$$2V_{1}-\frac{...
Milicevic3306
16.0k
points
104
views
Milicevic3306
asked
Mar 26, 2018
Analog Circuits
gate2014-ec-3
analog-circuits
op-amps
+
–
0
votes
0
answers
49
GATE ECE 2014 Set 3 | Question: 39
For the MOSFET $M_{1}$ shown in the figure, assume $W/L= 2$, $V_{DD}= 2.0 \: V$, $\mu _{n}C_{ox}= 100\mu A/V^{2}$ and $V_{TH}= 0.5 \: V$. The transistor $M_{1}$ switches from saturation region to linear region when $V_{in}$(in $Volts$) is ____________.
For the MOSFET $M_{1}$ shown in the figure, assume $W/L= 2$, $V_{DD}= 2.0 \: V$, $\mu _{n}C_{ox}= 100\mu A/V^{2}$ and $V_{TH}= 0.5 \: V$. The transistor $M_{1}$ switches ...
Milicevic3306
16.0k
points
92
views
Milicevic3306
asked
Mar 26, 2018
Electronic Devices
gate2014-ec-3
numerical-answers
electronic-devices
mosfet
+
–
0
votes
0
answers
50
GATE ECE 2014 Set 3 | Question: 40
If WL is the Word Line and BL the Bit Line, an SRAM cell is shown in
If WL is the Word Line and BL the Bit Line, an SRAM cell is shown in
Milicevic3306
16.0k
points
135
views
Milicevic3306
asked
Mar 26, 2018
Digital Circuits
gate2014-ec-3
digital-circuits
sram
+
–
1
votes
0
answers
51
GATE ECE 2014 Set 3 | Question: 41
In the circuit shown, $W$ and $Y$ are MSBs of the control inputs. The output $F$ is given by $F= W\overline{X}+\overline{W}X+\overline{Y}\overline{Z}$ $F= W\overline{X}+\overline{W}X+\overline{Y}Z$ $F= W\overline{X}\overline{Y}+\overline{W}X\overline{Y}$ $F= ( \overline{W}+\overline{X} )\overline{Y}\overline{Z}$
In the circuit shown, $W$ and $Y$ are MSBs of the control inputs. The output $F$ is given by$F= W\overline{X}+\overline{W}X+\overline{Y}\overline{Z}$$F= W\overline{X}+\ov...
Milicevic3306
16.0k
points
200
views
Milicevic3306
asked
Mar 26, 2018
Number Representations
gate2014-ec-3
digital-circuits
combinational-circuits
multiplexers
+
–
1
votes
0
answers
52
GATE ECE 2014 Set 3 | Question: 42
If $X$ and $Y$ are inputs and the Difference $(D=X-Y)$ and the Borrow $(B)$ are the outputs, which one of the following diagrams implements a half-subtractor?
If $X$ and $Y$ are inputs and the Difference $(D=X-Y)$ and the Borrow $(B)$ are the outputs, which one of the following diagrams implements a half-subtractor?
Milicevic3306
16.0k
points
152
views
Milicevic3306
asked
Mar 26, 2018
Number Representations
gate2014-ec-3
digital-circuits
combinational-circuits
half-subtractor-circuit
multiplexers
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–
0
votes
0
answers
53
GATE ECE 2014 Set 3 | Question: 43
Let $H_{1}(z)= (1-pz^{-1})^{-1},H_{2}(z)= (1-qz^{-1})^{-1},H(z)=H_{1}(z)+rH_{2}(z).$ The quantities $p,$ $q$, $r$ are real numbers. Consider $p=\frac{1}{2},q=-\frac{1}{4},\mid r \mid < 1.$ If the zero of $H(z)$ lies on the unit circle, then $r$ $=$ _________
Let $H_{1}(z)= (1-pz^{-1})^{-1},H_{2}(z)= (1-qz^{-1})^{-1},H(z)=H_{1}(z)+rH_{2}(z).$ The quantities $p,$ $q$, $r$ are real numbers. Consider $p=\frac{1}{2},q=-\frac{1}{4}...
Milicevic3306
16.0k
points
168
views
Milicevic3306
asked
Mar 26, 2018
Continuous-time Signals
gate2014-ec-3
numerical-answers
continuous-time-signals
poles-and-zeros
+
–
0
votes
0
answers
54
GATE ECE 2014 Set 3 | Question: 44
Let $h(t)$ denote the impulse response of a causal system with transfer function $\frac{1}{s+1}.$ Consider the following three statements. $S1$: The system is stable. $S2$: $\frac{h(t+1)}{h(t)}$ is independent of $t$ for $t > 0$. $S3$: A non-causal ... $S1$ and $S2$ are true only $S2$ and $S3$ are true only $S1$ and $S3$ are true $S1$, $S2$ and $S3$ are true
Let $h(t)$ denote the impulse response of a causal system with transfer function $\frac{1}{s+1}.$ Consider the following three statements.$S1$: The system is stable.$S2$:...
Milicevic3306
16.0k
points
72
views
Milicevic3306
asked
Mar 26, 2018
Network Solution Methods
gate2014-ec-3
network-solution-methods
transfer-function
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–
0
votes
0
answers
55
GATE ECE 2014 Set 3 | Question: 45
The $z$-transform of the sequence $x[n]$ is given by $X(z)=\frac{1}{(1-2z^{-1})^{2}},$ with the region of convergence $\mid z \mid >2$. Then, $x[2]$ is _________.
The $z$-transform of the sequence $x[n]$ is given by $X(z)=\frac{1}{(1-2z^{-1})^{2}},$ with the region of convergence $\mid z \mid >2$. Then, $x $ is _________.
Milicevic3306
16.0k
points
80
views
Milicevic3306
asked
Mar 26, 2018
Continuous-time Signals
gate2014-ec-3
numerical-answers
continuous-time-signals
z-transform
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–
0
votes
0
answers
56
GATE ECE 2014 Set 3 | Question: 46
The steady state error of the system shown in the figure for a unit step input is _________.
The steady state error of the system shown in the figure for a unit step input is _________.
Milicevic3306
16.0k
points
171
views
Milicevic3306
asked
Mar 26, 2018
Network Solution Methods
gate2014-ec-3
numerical-answers
network-solution-methods
steady-state
+
–
0
votes
0
answers
57
GATE ECE 2014 Set 3 | Question: 47
The state equation of a second-order linear system is given by $\dot{x}(t)=Ax(t), \:\:\:\:\:\:\:\:x(0)=x_{0}$ For $x_{0}= \begin{bmatrix} 1\\ -1 \end{bmatrix},$ $x(t)= \begin{bmatrix} e^{-t}\\ -e^{-t} \end{bmatrix},$ ... $\begin{bmatrix} 5e^{-t}-3e^{-2t}\\ -5e^{-t}+6e^{-2t} \end{bmatrix}$
The state equation of a second-order linear system is given by$$\dot{x}(t)=Ax(t), \:\:\:\:\:\:\:\:x(0)=x_{0}$$For $x_{0}= \begin{bmatrix} 1\\ -1 \end{bmatrix},$ $x(t)...
Milicevic3306
16.0k
points
131
views
Milicevic3306
asked
Mar 26, 2018
Linear Algebra
gate2014-ec-3
linear-algebra
matrices
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–
0
votes
0
answers
58
GATE ECE 2014 Set 3 | Question: 48
In the root locus plot shown in the figure, the pole/zero marks and the arrows have been removed. Which one of the following transfer functions has this root locus? $\frac{s+1}{(s+2)(s+4)(s+7)} \\$ $\frac{s+4}{(s+1)(s+2)(s+7)} \\$ $\frac{s+7}{(s+1)(s+2)(s+4)} \\$ $\frac{(s+1)(s+2)}{(s+7)(s+4)}$
In the root locus plot shown in the figure, the pole/zero marks and the arrows have been removed. Which one of the following transfer functions has this root locus? ...
Milicevic3306
16.0k
points
109
views
Milicevic3306
asked
Mar 26, 2018
Continuous-time Signals
gate2014-ec-3
continuous-time-signals
signals-and-systems
poles-and-zeros
+
–
0
votes
0
answers
59
GATE ECE 2014 Set 3 | Question: 49
Let $X(t)$ be a wide sense stationary $(WSS)$ random process with power spectral density $S_{X}(f).$ If $Y(t)$ is the process defined as $Y(t)= X(2t-1)$, the power spectral density $S_{Y}( f )$ ... $S_{Y}( f )= \frac{1}{2}S_{X}\left ( \frac{f}{2} \right )e^{-j2\pi f }$
Let $X(t)$ be a wide sense stationary $(WSS)$ random process with power spectral density $S_{X}(f).$ If $Y(t)$ is the process defined as $Y(t)= X(2t-1)$, the power spectr...
Milicevic3306
16.0k
points
86
views
Milicevic3306
asked
Mar 26, 2018
Communications
gate2014-ec-3
communications
autocorrelation-and-power-spectral-density
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–
0
votes
0
answers
60
GATE ECE 2014 Set 3 | Question: 50
A real band-limited random process $X(t)$ ... -pass filter of unity gain with centre frequency of $8$ $kHz$ and band-width of $2$ kHz. The output power (in Watts) is ___________.
A real band-limited random process $X(t)$ has two-sided power spectral density$$S_{X}(f)= \begin{cases} 10^{-6} (3000-\mid f \mid) \text{Watts/Hz} & \text{for } \mid f \...
Milicevic3306
16.0k
points
209
views
Milicevic3306
asked
Mar 26, 2018
Communications
gate2014-ec-3
numerical-answers
autocorrelation-and-power-spectral-density
communications
+
–
0
votes
0
answers
61
GATE ECE 2014 Set 3 | Question: 51
In a $PCM$ system, the signal $m(t)=\left \{\sin(100\pi t)+\cos(100\pi t) \right \}V$ is sampled at the Nyquist rate. The samples are processed by a uniform quantizer with step size $0.75$ $V$. The minimum data rate of the $PCM$ system in bits per second is ______.
In a $PCM$ system, the signal $m(t)=\left \{\sin(100\pi t)+\cos(100\pi t) \right \}V$ is sampled at the Nyquist rate. The samples are processed by a uniform quantizer wit...
Milicevic3306
16.0k
points
142
views
Milicevic3306
asked
Mar 26, 2018
Communications
gate2014-ec-3
numerical-answers
digital-communications
pulse-code-modulation-systems
communications
+
–
0
votes
0
answers
62
GATE ECE 2014 Set 3 | Question: 52
A binary random variable $X$ takes the value of $1$ with probability $1/3$. $X$ is input to a cascade of $2$ independent identical binary symmetric channels (BSCs) each with crossover probability $1/2$. The output of BSCs are the random variables $Y_{1}$ and $Y_{2}$ as shown in the figure. The value of $H( Y_{1} )+H( Y_{2} )$ in bits is ______.
A binary random variable $X$ takes the value of $1$ with probability $1/3$. $X$ is input to a cascade of $2$ independent identical binary symmetric channels (BSCs) each w...
Milicevic3306
16.0k
points
130
views
Milicevic3306
asked
Mar 26, 2018
Probability and Statistics
gate2014-ec-3
probability-and-statistics
probability
numerical-answers
+
–
0
votes
0
answers
63
GATE ECE 2014 Set 3 | Question: 53
Given the vector $\textbf{A}= ( \cos x ) ( \sin y )\hat{a_{x}}+( \sin x )( \cos y )\hat{a_{y}},$ where $\hat{a_{x}},$ $\hat{a_{y}}$ denote unit vectors along $x$, $y$ directions, respectively. The magnitude of curl of $\textbf{A}$ is __________
Given the vector $\textbf{A}= ( \cos x ) ( \sin y )\hat{a_{x}}+( \sin x )( \cos y )\hat{a_{y}},$ where $\hat{a_{x}},$ $\hat{a_{y}}$ denote unit vectors along $x$, $y$ di...
Milicevic3306
16.0k
points
125
views
Milicevic3306
asked
Mar 26, 2018
Vector Analysis
gate2014-ec-3
numerical-answers
vector-analysis
+
–
0
votes
0
answers
64
GATE ECE 2014 Set 3 | Question: 54
A region shown below contains a perfect conducting half-space and air. The surface current $\overrightarrow{K_{s}}$ on the surface of the perfect conductor is $\overrightarrow{K_{s}}= \hat{x}2$ amperes per meter. The tangential $\overrightarrow{H}$ field in the ... per meter $\hat{x}2$ amperes per meter $-\hat{z}2$ amperes per meter $\hat{z}2$ amperes per meter
A region shown below contains a perfect conducting half-space and air. The surface current $\overrightarrow{K_{s}}$ on the surface of the perfect conductor is $\overright...
Milicevic3306
16.0k
points
172
views
Milicevic3306
asked
Mar 26, 2018
Number Representations
gate2014-ec-3
digital-circuits
+
–
0
votes
0
answers
65
GATE ECE 2014 Set 3 | Question: 55
Assume that a plane wave in air with an electric field $\overrightarrow{E}= 10\cos ( \omega t-3x-\sqrt{3}z )\hat{a_{y}}V/m$ is incident on a non-magnetic dielectric slab of relative permittivity $3$ which covers the region $z > 0$. The angle of transmission in the dielectric slab is _________ degrees.
Assume that a plane wave in air with an electric field $\overrightarrow{E}= 10\cos ( \omega t-3x-\sqrt{3}z )\hat{a_{y}}V/m$ is incident on a non-magnetic dielectric slab...
Milicevic3306
16.0k
points
85
views
Milicevic3306
asked
Mar 26, 2018
Electromagnetics
gate2014-ec-3
numerical-answers
plane-waves-and-properties
electromagnetics
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