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2641
GATE ECE 2014 Set 3 | Question: 9
A thin $P$-type silicon sample is uniformly illuminated with light which generates excess carriers. The recombination rate is directly proportional to the minority carrier mobility the minority carrier recombination lifetime the majority carrier concentration the excess minority carrier concentration
A thin $P$-type silicon sample is uniformly illuminated with light which generates excess carriers. The recombination rate is directly proportional tothe minority carrier...
Milicevic3306
16.0k
points
71
views
Milicevic3306
asked
Mar 26, 2018
Electronic Devices
gate2014-ec-3
electronic-devices
silicon
+
–
0
votes
0
answers
2642
GATE ECE 2014 Set 3 | Question: 10
At $T= 300 \: K$, the hole mobility of a semiconductor $\mu _{p}= 500$ $cm^{2}$/V-s$ and $\frac{kT}{q}= 26$ $mV$. The hole diffusion constant $D_{p}$ in $cm^{2}$/s$ is _________
At $T= 300 \: K$, the hole mobility of a semiconductor $\mu _{p}= 500$ $cm^{2}$$/V-s$ and $\frac{kT}{q}= 26$ $mV$. The hole diffusion constant $D_{p}$ in $cm^{2}$$/s$ is ...
Milicevic3306
16.0k
points
70
views
Milicevic3306
asked
Mar 26, 2018
Electronic Devices
gate2014-ec-3
numerical-answers
electronic-devices
diffusion
+
–
0
votes
0
answers
2643
GATE ECE 2014 Set 3 | Question: 11
The desirable characteristics of a transconductance amplifier are high input resistance and high output resistance high input resistance and low output resistance low input resistance and high output resistance low input resistance and low output resistance
The desirable characteristics of a transconductance amplifier are high input resistance and high output resistancehigh input resistance and low output resistancelow input...
Milicevic3306
16.0k
points
117
views
Milicevic3306
asked
Mar 26, 2018
Analog Circuits
gate2014-ec-3
amplifier
analog-circuits
+
–
0
votes
0
answers
2644
GATE ECE 2014 Set 3 | Question: 12
In the circuit shown, the $PNP$ transistor has $\mid V_{BE} \mid = 0.7 \:V$ and $\beta = 50$. Assume that $R_{B}= 100 \: k \Omega$. For $V_{0}$ to be $5 \: V$, the value of $R_{C}$ (in $k \Omega$) is ________
In the circuit shown, the $PNP$ transistor has $\mid V_{BE} \mid = 0.7 \:V$ and $\beta = 50$. Assume that $R_{B}= 100 \: k \Omega$. For $V_{0}$ to be $5 \: V$, the value...
Milicevic3306
16.0k
points
154
views
Milicevic3306
asked
Mar 26, 2018
Electronic Devices
gate2014-ec-3
numerical-answers
electronic-devices
p-n-p-transistor
+
–
0
votes
0
answers
2645
GATE ECE 2014 Set 3 | Question: 13
The figure shows a half-wave rectifier. The diode $D$ is ideal. The average steady-state current (in Amperes) through the diode is approximately ___________.
The figure shows a half-wave rectifier. The diode $D$ is ideal. The average steady-state current (in Amperes) through the diode is approximately ___________.
Milicevic3306
16.0k
points
386
views
Milicevic3306
asked
Mar 26, 2018
Analog Circuits
gate2014-ec-3
numerical-answers
analog-circuits
diodes
+
–
0
votes
0
answers
2646
GATE ECE 2014 Set 3 | Question: 14
An analog voltage in the range $0$ to $8$ V is divided in $16$ equal intervals for conversion to $4$-bit digital output. The maximum quantization error (in V) is __________
An analog voltage in the range $0$ to $8$ V is divided in $16$ equal intervals for conversion to $4$-bit digital output. The maximum quantization error (in V) is ________...
Milicevic3306
16.0k
points
195
views
Milicevic3306
asked
Mar 26, 2018
Analog Circuits
gate2014-ec-3
numerical-answers
analog-circuits
voltage-reference-circuits
+
–
0
votes
0
answers
2647
GATE ECE 2014 Set 3 | Question: 15
The circuit shown in the figure is a Toggle Flip Flop JK Flip Flop SR Latch Master-Slave D Flip Flop
The circuit shown in the figure is a Toggle Flip FlopJK Flip FlopSR LatchMaster-Slave D Flip Flop
Milicevic3306
16.0k
points
194
views
Milicevic3306
asked
Mar 26, 2018
Number Representations
gate2014-ec-3
digital-circuits
sequential-circuit
flip-flops
+
–
1
votes
0
answers
2648
GATE ECE 2014 Set 3 | Question: 16
Consider the multiplexer based logic circuit shown in the figure. Which one of the following Boolean functions is realized by the circuit? $F= W \overline{S_1} \: \overline{S_2}$ $F= WS_1+WS_2 + S_{1}S_{2}$ $F= \overline{W}+S_{1}+S_{2}$ $F= W\oplus S_{1}\oplus S_{2}$
Consider the multiplexer based logic circuit shown in the figure.Which one of the following Boolean functions is realized by the circuit?$F= W \overline{S_1} \: \overline...
Milicevic3306
16.0k
points
366
views
Milicevic3306
asked
Mar 26, 2018
Number Representations
gate2014-ec-3
digital-circuits
combinational-circuits
multiplexers
+
–
0
votes
0
answers
2649
GATE ECE 2014 Set 3 | Question: 17
Let $x(t)= \cos(10\pi t)+\cos(30\pi t)$ be sampled at $20 Hz$ and reconstructed using an ideal low-pass filter with cut-off frequency of $20 Hz$. The frequency/frequencies present in the reconstructed signal is/are $5$ Hz and $15$ Hz only $10$ Hz and $15$ Hzonly $5$ Hz, $10$ Hz and $15$Hz only $5$ Hz only
Let $x(t)= \cos(10\pi t)+\cos(30\pi t)$ be sampled at $20 Hz$ and reconstructed using an ideal low-pass filter with cut-off frequency of $20 Hz$. The frequency/frequencie...
Milicevic3306
16.0k
points
92
views
Milicevic3306
asked
Mar 26, 2018
Electromagnetics
gate2014-ec-3
electromagnetics
cut-off-frequency
+
–
0
votes
0
answers
2650
GATE ECE 2014 Set 3 | Question: 18
For an all-pass system $H(z)= \frac{(z^{-1}-b)}{(1-az^{-1})}$, where $\mid H(e^{-j\omega }) \mid= 1,$ for all $\omega$. If $\text{Re}(a)\neq 0, \: \text{Im}(a)\neq 0,$then $b$ equals $a$ $a^{*}$ $1/a^{*}$ $1/a$
For an all-pass system $H(z)= \frac{(z^{-1}-b)}{(1-az^{-1})}$, where $\mid H(e^{-j\omega }) \mid= 1,$ for all $\omega$. If $\text{Re}(a)\neq 0, \: \text{Im}(a)\neq 0,$the...
Milicevic3306
16.0k
points
148
views
Milicevic3306
asked
Mar 26, 2018
Network Solution Methods
gate2014-ec-3
continuous-time-signals
+
–
0
votes
0
answers
2651
GATE ECE 2014 Set 3 | Question: 19
A modulated signal is $y(t)= m(t)\cos(40000\pi t)$, where the baseband signal $m(t)$ has frequency components less than $5$ KHz only. The minimum required rate (in KHz) at which $y(t)$ should be sampled to recover $m(t)$ is _______.
A modulated signal is $y(t)= m(t)\cos(40000\pi t)$, where the baseband signal $m(t)$ has frequency components less than $5$ KHz only. The minimum required rate (in KHz) a...
Milicevic3306
16.0k
points
193
views
Milicevic3306
asked
Mar 26, 2018
Communications
gate2014-ec-3
numerical-answers
digital-communications
communications
+
–
0
votes
0
answers
2652
GATE ECE 2014 Set 3 | Question: 20
Consider the following block diagram in the figure. The transfer function $\frac{C(s)}{R(s)}$ is $\frac{G_{1}G_{2}}{1+G_{1}G_{2}}$ $G_{1}G_{2}+G_{1}+1$ $G_{1}G_{2}+G_{2}+1$ $\frac{G_{1}}{1+G_{1}G_{2}}$
Consider the following block diagram in the figure. The transfer function $\frac{C(s)}{R(s)}$ is$\frac{G_{1}G_{2}}{1+G_{1}G_{2}}$$G_{1}G_{2}+G_{1}+1$$G_{1...
Milicevic3306
16.0k
points
180
views
Milicevic3306
asked
Mar 26, 2018
Network Solution Methods
gate2014-ec-3
network-solution-methods
transfer-function
+
–
0
votes
0
answers
2653
GATE ECE 2014 Set 3 | Question: 21
The input $-3e^{2t}u(t),$ where $u(t)$ is the unit step function, is applied to a system with transfer function $\frac{s-2}{s+3}.$ If the initial value of the output is $-2$, then the value of the output at steady state is _______.
The input $-3e^{2t}u(t),$ where $u(t)$ is the unit step function, is applied to a system with transfer function $\frac{s-2}{s+3}.$ If the initial value of the output is $...
Milicevic3306
16.0k
points
121
views
Milicevic3306
asked
Mar 26, 2018
Network Solution Methods
gate2014-ec-3
numerical-answers
network-solution-methods
transfer-function
+
–
0
votes
0
answers
2654
GATE ECE 2014 Set 3 | Question: 22
The phase response of a passband waveform at the receiver is given by $\varphi (f)= -2\pi \alpha (f-f_{c})-2\pi \beta f_{c}$ where $f_{c}$ is the centre frequency, and $\alpha$ and $\beta$ are positive constants. The actual signal propagation delay from the ... $\frac{\alpha\beta }{\alpha +\beta } \\$ $\alpha \\$ $\beta$
The phase response of a passband waveform at the receiver is given by $$\varphi (f)= -2\pi \alpha (f-f_{c})-2\pi \beta f_{c}$$where $f_{c}$ is the centre frequency, and $...
Milicevic3306
16.0k
points
73
views
Milicevic3306
asked
Mar 26, 2018
Electromagnetics
gate2014-ec-3
electromagnetics
+
–
0
votes
0
answers
2655
GATE ECE 2014 Set 3 | Question: 23
Consider an $FM$ signal $f(t)= \cos\left [ 2\pi f_{c} t+\beta _{1}\sin2\pi f_{1}t+\beta _{2}\sin2\pi f_{2}t\right ].$ The maximum deviation of the instantaneous frequency from the carrier frequency $f_{c}$ is $\beta _{1}f_{1}+\beta _{2}f_{2}$ $\beta _{1}f_{2}+\beta _{2}f_{1}$ $\beta _{1}+\beta _{2}$ $f _{1}+f _{2}$
Consider an $FM$ signal $f(t)= \cos\left [ 2\pi f_{c} t+\beta _{1}\sin2\pi f_{1}t+\beta _{2}\sin2\pi f_{2}t\right ].$ The maximum deviation of the instantaneous frequency...
Milicevic3306
16.0k
points
103
views
Milicevic3306
asked
Mar 26, 2018
Communications
gate2014-ec-3
digital-communications
frequency-modulation
communications
+
–
0
votes
0
answers
2656
GATE ECE 2014 Set 3 | Question: 24
Consider an air filled rectangular waveguide with a cross-section of $5 \: cm \times 3 \: cm $. For this waveguide, the cut-off frequency (in MHz) of $TE_{21}$ mode is __________.
Consider an air filled rectangular waveguide with a cross-section of $5 \: cm \times 3 \: cm $. For this waveguide, the cut-off frequency (in MHz) of $TE_{21}$ mode is __...
Milicevic3306
16.0k
points
88
views
Milicevic3306
asked
Mar 26, 2018
Electromagnetics
gate2014-ec-3
numerical-answers
electromagnetics
cut-off-frequency
+
–
0
votes
0
answers
2657
GATE ECE 2014 Set 3 | Question: 25
In the following figure, the transmitter $Tx$ sends a wideband modulated $RF$ signal via a coaxial cable to the receiver $Rx$. The output impedance $Z_{T}$ of $Tx$, the characteristic impedance $Z_{0}$ of the cable and the input impedance ... $Z_{R}\neq Z_{0}$ Impedance mismatches do NOT result in signal distortion but reduce power transfer efficiency
In the following figure, the transmitter $Tx$ sends a wideband modulated $RF$ signal via a coaxial cable to the receiver $Rx$. The output impedance $Z_{T}$ of $Tx$, the ...
Milicevic3306
16.0k
points
87
views
Milicevic3306
asked
Mar 26, 2018
Electromagnetics
gate2014-ec-3
electromagnetics
impedance
+
–
0
votes
0
answers
2658
GATE ECE 2014 Set 3 | Question: 26
The maximum value of $f(x)$= $2x^{3}$ – $9x^{2}$ + $12x – 3$ in the interval $0\leq x\leq 3$ is _______.
The maximum value of $f(x)$= $2x^{3}$ – $9x^{2}$ + $12x – 3$ in the interval $0\leq x\leq 3$ is _______.
Milicevic3306
16.0k
points
100
views
Milicevic3306
asked
Mar 26, 2018
Calculus
gate2014-ec-3
calculus
maxima-minima
numerical-answers
+
–
0
votes
0
answers
2659
GATE ECE 2014 Set 3 | Question: 27
Which one of the following statements is NOT true for a square matrix $A$? If $A$ is upper triangular, the eigenvalues of $A$ are the diagonal elements of it If $A$ is real symmetric, the eigenvalues of $A$ are always real and positive If $A$ ... $A$ are positive, all the eigenvalues of $A$ are also positive
Which one of the following statements is NOT true for a square matrix $A$?If $A$ is upper triangular, the eigenvalues of $A$ are the diagonal elements of itIf $A$ is real...
Milicevic3306
16.0k
points
96
views
Milicevic3306
asked
Mar 26, 2018
Linear Algebra
gate2014-ec-3
linear-algebra
matrices
eigen-values
+
–
0
votes
0
answers
2660
GATE ECE 2014 Set 3 | Question: 28
A fair coin is tossed repeatedly till both head and tail appear at least once. The average number of tosses required is _______ .
A fair coin is tossed repeatedly till both head and tail appear at least once. The average number of tosses required is _______ .
Milicevic3306
16.0k
points
87
views
Milicevic3306
asked
Mar 26, 2018
Probability and Statistics
gate2014-ec-3
probability-and-statistics
probability
expectation
numerical-answers
+
–
0
votes
0
answers
2661
GATE ECE 2014 Set 3 | Question: 29
Let $X_{1},X_{2},$ and $X_{3}$ be independent and identically distributed random variables with the uniform distribution on $[0,1]$. The probability $P\left \{ X_{1}+X_{2}\leq X_{3}\right \}$ is _________.
Let $X_{1},X_{2},$ and $X_{3}$ be independent and identically distributed random variables with the uniform distribution on $[0,1]$. The probability $P\left \{ X_{1}+X_{2...
Milicevic3306
16.0k
points
135
views
Milicevic3306
asked
Mar 26, 2018
Probability and Statistics
gate2014-ec-3
probability-and-statistics
probability
independent-events
random-variable
uniform-distribution
numerical-answers
+
–
0
votes
0
answers
2662
GATE ECE 2014 Set 3 | Question: 31
In the circuit shown in the figure, the value of node voltage $V_{2}$ is $22+j$ $2$ $V$ $2 +j$ $22$ $V$ $22 -j$ $2$ $V$ $2 -j$ $22$ $V$
In the circuit shown in the figure, the value of node voltage $V_{2}$ is $22+j$ $2$ $V$ $2 +j$ $22$ $V$$22 -j$ $2...
Milicevic3306
16.0k
points
96
views
Milicevic3306
asked
Mar 26, 2018
Electronic Devices
gate2014-ec-3
electronic-devices
node-voltage
+
–
0
votes
0
answers
2663
GATE ECE 2014 Set 3 | Question: 32
In the circuit shown in the figure, the angular frequency $\omega$ (in rad/s), at which the Norton equivalent impedance as seen from terminals $b-b'$ is purely resistive, is ________.
In the circuit shown in the figure, the angular frequency $\omega$ (in rad/s), at which the Norton equivalent impedance as seen from terminals $b-b'$ is purely resistive,...
Milicevic3306
16.0k
points
143
views
Milicevic3306
asked
Mar 26, 2018
Electromagnetics
gate2014-ec-3
numerical-answers
electromagnetics
impedance
+
–
0
votes
0
answers
2664
GATE ECE 2014 Set 3 | Question: 33
For the $Y$-network shown in the figure, the value of $R_{1}$ (in $\Omega$) in the equivalent $\Delta$-network is __________.
For the $Y$-network shown in the figure, the value of $R_{1}$ (in $\Omega$) in the equivalent $\Delta$-network is __________.
Milicevic3306
16.0k
points
92
views
Milicevic3306
asked
Mar 26, 2018
Network Solution Methods
gate2014-ec-3
numerical-answers
network-solution-methods
+
–
0
votes
0
answers
2665
GATE ECE 2014 Set 3 | Question: 34
The donor and accepter impurities in an abrupt junction silicon diode are $1\times 10^{16} cm^{-3}$ and $5\times 10^{18}$cm^{-3}$, respectively. Assume that the intrinsic carrier concentration in silicon $n_{i}= 1.5\times 10^{10}cm^{-3}$ at $300K, \frac{kT}{q}= 26$ $ ... $0.7$ $V$ and $3.3\times 10^{-5} cm$ $0.86$ $V$ and $3.3\times 10^{-5} cm$
The donor and accepter impurities in an abrupt junction silicon diode are $1\times 10^{16} cm^{-3}$ and $5\times 10^{18}$$cm^{-3}$, respectively. Assume that the intrinsi...
Milicevic3306
16.0k
points
84
views
Milicevic3306
asked
Mar 26, 2018
Electronic Devices
gate2014-ec-3
electronic-devices
intrinsic-and-extrinsic-silicon
+
–
0
votes
0
answers
2666
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
107
views
Milicevic3306
asked
Mar 26, 2018
Electronic Devices
gate2014-ec-3
numerical-answers
electronic-devices
mosfet
+
–
0
votes
0
answers
2667
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
161
views
Milicevic3306
asked
Mar 26, 2018
Electronic Devices
gate2014-ec-3
numerical-answers
electronic-devices
mos-capacitor
+
–
0
votes
0
answers
2668
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
101
views
Milicevic3306
asked
Mar 26, 2018
Analog Circuits
gate2014-ec-3
bipolar-junction-transistor
analog-circuits
+
–
0
votes
0
answers
2669
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
107
views
Milicevic3306
asked
Mar 26, 2018
Analog Circuits
gate2014-ec-3
analog-circuits
op-amps
+
–
0
votes
0
answers
2670
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
96
views
Milicevic3306
asked
Mar 26, 2018
Electronic Devices
gate2014-ec-3
numerical-answers
electronic-devices
mosfet
+
–
0
votes
0
answers
2671
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
136
views
Milicevic3306
asked
Mar 26, 2018
Digital Circuits
gate2014-ec-3
digital-circuits
sram
+
–
1
votes
0
answers
2672
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
205
views
Milicevic3306
asked
Mar 26, 2018
Number Representations
gate2014-ec-3
digital-circuits
combinational-circuits
multiplexers
+
–
1
votes
0
answers
2673
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
156
views
Milicevic3306
asked
Mar 26, 2018
Number Representations
gate2014-ec-3
digital-circuits
combinational-circuits
half-subtractor-circuit
multiplexers
+
–
0
votes
0
answers
2674
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
170
views
Milicevic3306
asked
Mar 26, 2018
Continuous-time Signals
gate2014-ec-3
numerical-answers
continuous-time-signals
poles-and-zeros
+
–
0
votes
0
answers
2675
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
77
views
Milicevic3306
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Mar 26, 2018
Network Solution Methods
gate2014-ec-3
network-solution-methods
transfer-function
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0
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2676
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
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Milicevic3306
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Mar 26, 2018
Continuous-time Signals
gate2014-ec-3
numerical-answers
continuous-time-signals
z-transform
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0
votes
0
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2677
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
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178
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Milicevic3306
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Mar 26, 2018
Network Solution Methods
gate2014-ec-3
numerical-answers
network-solution-methods
steady-state
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0
votes
0
answers
2678
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
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131
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Milicevic3306
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Mar 26, 2018
Linear Algebra
gate2014-ec-3
linear-algebra
matrices
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0
votes
0
answers
2679
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
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111
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Milicevic3306
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Mar 26, 2018
Continuous-time Signals
gate2014-ec-3
continuous-time-signals
signals-and-systems
poles-and-zeros
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0
votes
0
answers
2680
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
87
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Milicevic3306
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Mar 26, 2018
Communications
gate2014-ec-3
communications
autocorrelation-and-power-spectral-density
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