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2441
GATE ECE 2014 Set 4 | Question: 8
At $T=300 \:K$, the band gap and the intrinsic carrier concentration of GaAs are $1.42$ eV and $10^6 \: cm^{-3}$, respectively. In order to generate electron hole pairs in GaAs, which one of the wavelength $(\lambda_C)$ ranges of incident radiation, is most suitable? (Given ... $1.62 \: \mu m < \lambda _C < 6.62 \: \mu m$
At $T=300 \:K$, the band gap and the intrinsic carrier concentration of GaAs are $1.42$ eV and $10^6 \: cm^{-3}$, respectively. In order to generate electron hole pairs i...
Milicevic3306
16.0k
points
88
views
Milicevic3306
asked
Mar 26, 2018
Electromagnetics
gate2014-ec-4
electromagnetics
plank's-constant
+
–
0
votes
0
answers
2442
GATE ECE 2014 Set 4 | Question: 9
In the figure, $\text{ln }(\rho _i)$ is plotted as a function of $1/T$, where $\rho_i$ is the intrinsic resistivity of silicon, $T$ is the temperature, and the plot is almost linear. The slope of the line can be used to estimate band gap ... the sum of electron and hole mobility in silicon $(\mu _n + \mu _p)^{-1}$ intrinsic carrier concentration of silicon $(n_i)$
In the figure, $\text{ln }(\rho _i)$ is plotted as a function of $1/T$, where $\rho_i$ is the intrinsic resistivity of silicon, $T$ is the temperature, and the plot is al...
Milicevic3306
16.0k
points
106
views
Milicevic3306
asked
Mar 26, 2018
Electronic Devices
gate2014-ec-4
electronic-devices
intrinsic-and-extrinsic-silicon
+
–
0
votes
0
answers
2443
GATE ECE 2014 Set 4 | Question: 10
The cut-off wavelength (in $\mu m$) of light that can be used for intrinsic excitation of a semiconductor material of bandgap $E_g = 1.1 \: eV$ is ______________
The cut-off wavelength (in $\mu m$) of light that can be used for intrinsic excitation of a semiconductor material of bandgap $E_g = 1.1 \: eV$ is ______________
Milicevic3306
16.0k
points
75
views
Milicevic3306
asked
Mar 26, 2018
Electronic Devices
gate2014-ec-4
numerical-answers
electronic-devices
+
–
0
votes
0
answers
2444
GATE ECE 2014 Set 4 | Question: 11
If the emitter resistance in a common-emitter voltage amplifier is not bypassed, it will reduce both the voltage gain and the input impedance reduce the voltage gain and increase the input impedance increase the voltage gain and reduce the input impedance reduce both the voltage gain and the input impedance
If the emitter resistance in a common-emitter voltage amplifier is not bypassed, it willreduce both the voltage gain and the input impedancereduce the voltage gain and in...
Milicevic3306
16.0k
points
102
views
Milicevic3306
asked
Mar 26, 2018
Electromagnetics
gate2014-ec-4
electromagnetics
impedance
+
–
0
votes
0
answers
2445
GATE ECE 2014 Set 4 | Question: 12
Two silicon diodes, with a forward voltage drop of $0.7 \: V$, are used in the circuit shown in the figure. The range of input voltage $V_i$ for which the output voltage $V_o=V_i$, is $-0.3 \:V < V_i < 1.3 \: V$ $-0.3 \:V < V_i < 2 \: V$ $-1.0 \:V < V_i < 2.0 \: V$ $-1.7 \:V < V_i < 2.7 \: V$
Two silicon diodes, with a forward voltage drop of $0.7 \: V$, are used in the circuit shown in the figure. The range of input voltage $V_i$ for which the output voltage ...
Milicevic3306
16.0k
points
90
views
Milicevic3306
asked
Mar 26, 2018
Electronic Devices
gate2014-ec-4
electronic-devices
intrinsic-and-extrinsic-silicon
+
–
0
votes
0
answers
2446
GATE ECE 2014 Set 4 | Question: 13
The circuit shown represents a bandpass filter a voltage controlled oscillator an amplitude modulator a monostable multivibrator
The circuit shown representsa bandpass filtera voltage controlled oscillatoran amplitude modulatora monostable multivibrator
Milicevic3306
16.0k
points
125
views
Milicevic3306
asked
Mar 26, 2018
Analog Circuits
gate2014-ec-4
analog-circuits
oscillator
+
–
0
votes
0
answers
2447
GATE ECE 2014 Set 4 | Question: 14
For a given sample-and-hold circuit, if the value of the hold capacitor is increased, then droop rate decreases and acquisition time decreases droop rate decreases and acquisition time increases droop rate increases and acquisition time decreases droop rate increases and acquisition time increases
For a given sample-and-hold circuit, if the value of the hold capacitor is increased, thendroop rate decreases and acquisition time decreasesdroop rate decreases and acqu...
Milicevic3306
16.0k
points
73
views
Milicevic3306
asked
Mar 26, 2018
Digital Circuits
gate2014-ec-4
digital-circuits
sample-and-hold-circuits
+
–
1
votes
0
answers
2448
GATE ECE 2014 Set 4 | Question: 15
In the circuit shown in the figure, if $C=0$, the expression for $Y$ is $Y=A \overline{B} + \overline{A}B$ $Y=A+B$ $Y=\overline{A} + \overline{B}$ $Y=A \: B$
In the circuit shown in the figure, if $C=0$, the expression for $Y$ is$Y=A \overline{B} + \overline{A}B$$Y=A+B$$Y=\overline{A} + \overline{B}$$Y=A \: B$
Milicevic3306
16.0k
points
144
views
Milicevic3306
asked
Mar 26, 2018
Digital Circuits
gate2014-ec-4
digital-circuits
combinational-circuits
logic-gates
+
–
0
votes
0
answers
2449
GATE ECE 2014 Set 4 | Question: 16
The output $(Y)$ of the circuit shown in the figure is $\overline{A} + \overline{B} +C$ $A + \overline{B} \cdot \overline{C} + A \cdot \overline{C}$ $\overline{A} +B+\overline{C}$ $A \cdot B \cdot \overline{C}$
The output $(Y)$ of the circuit shown in the figure is$\overline{A} + \overline{B} +C$$A + \overline{B} \cdot \overline{C} + A \cdot \overline{C}$$\overline{A} +B+\overli...
Milicevic3306
16.0k
points
145
views
Milicevic3306
asked
Mar 26, 2018
Digital Circuits
gate2014-ec-4
digital-circuits
+
–
0
votes
0
answers
2450
GATE ECE 2014 Set 4 | Question: 17
A Fourier transform pair is given by $\left ( \frac{2}{3} \right ) \: u[n+3] \overset{FT}{\Leftrightarrow} \frac{Ae^{-j6 \pi f}}{1- (\frac{2}{3} ) e^{-j2 \pi f}}$ where $u[n]$ denotes the unit step sequence. The values of $A$ is ____________
A Fourier transform pair is given by $$\left ( \frac{2}{3} \right ) \: u[n+3] \overset{FT}{\Leftrightarrow} \frac{Ae^{-j6 \pi f}}{1- (\frac{2}{3} ) e^{-j2 \pi f}}$$ where...
Milicevic3306
16.0k
points
103
views
Milicevic3306
asked
Mar 26, 2018
Continuous-time Signals
gate2014-ec-4
numerical-answers
continuous-time-signals
signals-and-systems
fourier-transform
+
–
0
votes
0
answers
2451
GATE ECE 2014 Set 4 | Question: 18
A real-valued signal $x(t)$ limited to the frequency band $\mid f \mid \leq \frac{W}{2}$ is passed through a linear time invariant system whose frequency response is $H(f) = \begin{cases} e^{-j 4 \pi f}, & \mid f \mid \leq \frac{W}{2} \\ 0, & \mid f \mid > \frac{W}{2} \end{cases}.$ The output of the system is $x(t+4)$ $x(t-4)$ $x(t+2)$ $x(t-2)$
A real-valued signal $x(t)$ limited to the frequency band $\mid f \mid \leq \frac{W}{2}$ is passed through a linear time invariant system whose frequency response is $$H(...
Milicevic3306
16.0k
points
162
views
Milicevic3306
asked
Mar 26, 2018
Continuous-time Signals
gate2014-ec-4
continuous-time-signals
linear-time-invariant-systems
+
–
0
votes
0
answers
2452
GATE ECE 2014 Set 4 | Question: 19
The sequence $x[n] = 0.5^n \: u[n]$, where $u[n]$ is the unit step sequence, is convolved with itself to obtain $y[n]$. Then $\Sigma_{n= -\infty}^{+ \infty} y[n]$ is _________.
The sequence $x[n] = 0.5^n \: u[n]$, where $u[n]$ is the unit step sequence, is convolved with itself to obtain $y[n]$. Then $\Sigma_{n= -\infty}^{+ \infty} y[n]$ is ____...
Milicevic3306
16.0k
points
145
views
Milicevic3306
asked
Mar 26, 2018
Continuous-time Signals
gate2014-ec-4
numerical-answers
continuous-time-signals
to-be-tagged
+
–
0
votes
0
answers
2453
GATE ECE 2014 Set 4 | Question: 20
In a Bode magnitude plot, which one of the following slopes would be exhibited at high frequencies by a $4$th order all-pole system? $-80$ dB/decade $-40$ dB/decade $+40$ dB/decade $+80$ dB/decade
In a Bode magnitude plot, which one of the following slopes would be exhibited at high frequencies by a $4$th order all-pole system?$-80$ dB/decade$-40$ dB/decade$+40$ dB...
Milicevic3306
16.0k
points
93
views
Milicevic3306
asked
Mar 26, 2018
Control Systems
gate2014-ec-4
control-systems
bode-and-root-locus-plots
+
–
0
votes
0
answers
2454
GATE ECE 2014 Set 4 | Question: 21
For the second order closed-loop system shown in the figure, the natural frequency (in rad/s) is $16$ $4$ $2$ $1$
For the second order closed-loop system shown in the figure, the natural frequency (in rad/s) is$16$$4$$2$$1$
Milicevic3306
16.0k
points
107
views
Milicevic3306
asked
Mar 26, 2018
Network Solution Methods
gate2014-ec-4
network-solution-methods
to-be-tagged
+
–
0
votes
0
answers
2455
GATE ECE 2014 Set 4 | Question: 22
If calls arrive at a telephone exchange such that the time of arrival of any call is independent of the time of arrival of earlier or future calls, the probability distribution function of the total number of calls in a fixed time interval will be Poisson Gaussian Exponential Gamma
If calls arrive at a telephone exchange such that the time of arrival of any call is independent of the time of arrival of earlier or future calls, the probability distri...
Milicevic3306
16.0k
points
185
views
Milicevic3306
asked
Mar 26, 2018
Vector Analysis
gate2014-ec-4
vector-analysis
gauss's-theorem
+
–
0
votes
0
answers
2456
GATE ECE 2014 Set 4 | Question: 23
In a double side-band (DSB) full carrier AM transmission system, if the modulation index is doubled, then the ratio of total sideband power to the carrier power increases by a factor of __________.
In a double side-band (DSB) full carrier AM transmission system, if the modulation index is doubled, then the ratio of total sideband power to the carrier power increases...
Milicevic3306
16.0k
points
117
views
Milicevic3306
asked
Mar 26, 2018
Communications
gate2014-ec-4
numerical-answers
communications
amplitude-modulation
+
–
0
votes
0
answers
2457
GATE ECE 2014 Set 4 | Question: 24
For an antenna radiating in free space, the electric field at a distance of $1$ km is found to be $12 \: mV/m$. Given that intrinsic impedance of the free space is $120 \pi \: \Omega$, the magnitude of average power density due to this antenna at a distance of $2$ km from the antenna (in $nW/m^2$) is _________.
For an antenna radiating in free space, the electric field at a distance of $1$ km is found to be $12 \: mV/m$. Given that intrinsic impedance of the free space is $120 \...
Milicevic3306
16.0k
points
131
views
Milicevic3306
asked
Mar 26, 2018
Electromagnetics
gate2014-ec-4
numerical-answers
electromagnetics
impedance
+
–
0
votes
0
answers
2458
GATE ECE 2014 Set 4 | Question: 25
Match column A with column B. ... $ 1 \rightarrow R; \: 2 \rightarrow Q; \: 3 \rightarrow P;$
Match column A with column B.$\begin{array}{ll} \textbf{Column A} & \textbf{Column B} \\ \text{1. Point electromagnetic source} & \text{P. Highly directional} \\ \text{2....
Milicevic3306
16.0k
points
97
views
Milicevic3306
asked
Mar 26, 2018
Electromagnetics
gate2014-ec-4
electromagnetics
+
–
0
votes
0
answers
2459
GATE ECE 2014 Set 4 | Question: 26
With initial values $y(0) =y’(0)=1$, the solution of the differential equation $\frac{d^2y}{dx^2}+4 \frac{dy}{dx}+4y=0$ at $x=1$ is ________
With initial values $y(0) =y’(0)=1$, the solution of the differential equation $$\frac{d^2y}{dx^2}+4 \frac{dy}{dx}+4y=0$$ at $x=1$ is ________
Milicevic3306
16.0k
points
94
views
Milicevic3306
asked
Mar 26, 2018
Differential Equations
gate2014-ec-4
numerical-answers
differential-equations
+
–
0
votes
0
answers
2460
GATE ECE 2014 Set 4 | Question: 27
Parcels from sender S to receiver R pass sequentially through two-post offices. Each post-office has a probability $\frac{1}{5}$ of losing an incoming parcel, independently of all other parcels. Given that a parcel is lost, the probability that it was lost by the second post office is _________
Parcels from sender S to receiver R pass sequentially through two-post offices. Each post-office has a probability $\frac{1}{5}$ of losing an incoming parcel, independent...
Milicevic3306
16.0k
points
126
views
Milicevic3306
asked
Mar 26, 2018
Probability and Statistics
gate2014-ec-4
numerical-answers
probability-and-statistics
probability
+
–
0
votes
0
answers
2461
GATE ECE 2014 Set 4 | Question: 28
The unilateral Laplace transform of $f(t)$ is $\frac{1}{s^2+s+1}$. Which one of the following is the unilateral Laplace transform of $g(t) = t \cdot f(t)$? $\frac{-s}{(s^2+s+1)^2}$ $\frac{-(2s+1)}{(s^2+s+1)^2}$ $\frac{s}{(s^2+s+1)^2}$ $\frac{2s+1}{(s^2+s+1)^2}$
The unilateral Laplace transform of $f(t)$ is $\frac{1}{s^2+s+1}$. Which one of the following is the unilateral Laplace transform of $g(t) = t \cdot f(t)$?$\frac{-s}{(s^2...
Milicevic3306
16.0k
points
167
views
Milicevic3306
asked
Mar 26, 2018
Network Solution Methods
gate2014-ec-4
network-solution-methods
laplace-transform
+
–
0
votes
0
answers
2462
GATE ECE 2014 Set 4 | Question: 29
For a right angled triangle, if the sum of the lengths of the hypotenuse and a side is kept constant, in order to have maximum area of the triangle, the triangle, the angle between the hypotenuse and the side is $12^{\circ}$ $36^{\circ}$ $60^{\circ}$ $45^{\circ}$
For a right angled triangle, if the sum of the lengths of the hypotenuse and a side is kept constant, in order to have maximum area of the triangle, the triangle, the ang...
Milicevic3306
16.0k
points
81
views
Milicevic3306
asked
Mar 26, 2018
Calculus
gate2014-ec-4
calculus
maxima-minima
+
–
0
votes
0
answers
2463
GATE ECE 2014 Set 4 | Question: 30
The steady state output of the circuit shown in the figure is given by $y(t)=A(\omega) \sin (\omega t + \phi ( \omega))$. If the amplitude $\mid A (\omega ) \mid =0.25$, then the frequency $\omega$ is $\frac{1}{\sqrt{3} \: R \: C}$ $\frac{2}{\sqrt{3} \: R \: C}$ $\frac{1}{R \: C}$ $\frac{2}{R \: C}$
The steady state output of the circuit shown in the figure is given by $y(t)=A(\omega) \sin (\omega t + \phi ( \omega))$. If the amplitude $\mid A (\omega ) \mid =0.25$, ...
Milicevic3306
16.0k
points
81
views
Milicevic3306
asked
Mar 26, 2018
Network Solution Methods
gate2014-ec-4
network-solution-methods
steady-state
+
–
0
votes
0
answers
2464
GATE ECE 2014 Set 4 | Question: 31
In the circuit shown in the figure, the value of $v_0(t)$ (in Volts) for $t \to \infty$ is ___________
In the circuit shown in the figure, the value of $v_0(t)$ (in Volts) for $t \to \infty$ is ___________
Milicevic3306
16.0k
points
73
views
Milicevic3306
asked
Mar 26, 2018
Network Solution Methods
gate2014-ec-4
numerical-answers
network-solution-methods
+
–
0
votes
0
answers
2465
GATE ECE 2014 Set 4 | Question: 32
The equivalent resistance in the infinite ladder network shown in the figure, is $R_e$. The value of $R_e/R$ is __________
The equivalent resistance in the infinite ladder network shown in the figure, is $R_e$.The value of $R_e/R$ is __________
Milicevic3306
16.0k
points
86
views
Milicevic3306
asked
Mar 26, 2018
Network Solution Methods
gate2014-ec-4
numerical-answers
network-solution-methods
ladder-network
+
–
0
votes
0
answers
2466
GATE ECE 2014 Set 4 | Question: 33
For the two-port network shown in the figure, the impedance (Z) matrix (in $\Omega$) is $\begin{bmatrix} 6 & 24 \\ 42 & 9 \end{bmatrix}$ $\begin{bmatrix} 9 & 8 \\ 8 & 24 \end{bmatrix}$ $\begin{bmatrix} 9 & 6 \\ 6 & 24 \end{bmatrix}$ $\begin{bmatrix} 42 & 6 \\ 6 & 60 \end{bmatrix}$
For the two-port network shown in the figure, the impedance (Z) matrix (in $\Omega$) is$\begin{bmatrix} 6 & 24 \\ 42 & 9 \end{bmatrix}$$\begin{bmatrix} 9 & 8 \\ 8 & 24 \e...
Milicevic3306
16.0k
points
84
views
Milicevic3306
asked
Mar 26, 2018
Electromagnetics
gate2014-ec-4
electromagnetics
impedance
+
–
0
votes
0
answers
2467
GATE ECE 2014 Set 4 | Question: 34
Consider a silicon sample doped with $N_D = 1 \times 10^{15}/cm^3$ donor atoms. Assume that the intrinsic carrier concentration $n_i = 1.5 \times 10^{10}/cm^3$. If the sample is additionally doped with $N_A = 1 \times 10^{18}/cm^3$ acceptor atoms, the approximate number of electrons$/cm^3$ in the sample, at $T=300 \:K$, will be ________.
Consider a silicon sample doped with $N_D = 1 \times 10^{15}/cm^3$ donor atoms. Assume that the intrinsic carrier concentration $n_i = 1.5 \times 10^{10}/cm^3$. If the s...
Milicevic3306
16.0k
points
86
views
Milicevic3306
asked
Mar 26, 2018
Electronic Devices
gate2014-ec-4
numerical-answers
electronic-devices
intrinsic-and-extrinsic-silicon
+
–
0
votes
0
answers
2468
GATE ECE 2014 Set 4 | Question: 35
Consider two BJTs biased at the same collector current with area $A_1=0.2 \mu m \times 0.2 \mu m$ and $A_2 = 300 \mu m \times 300 \mu m$. Assuming that all other device parameters are identical, $kT/q=26 \: mV$, the intrinsic carrier concentration ... $V_{BE1}-V_{BE2})$ is ________.
Consider two BJTs biased at the same collector current with area $A_1=0.2 \mu m \times 0.2 \mu m$ and $A_2 = 300 \mu m \times 300 \mu m$. Assuming that all other device p...
Milicevic3306
16.0k
points
139
views
Milicevic3306
asked
Mar 26, 2018
Analog Circuits
gate2014-ec-4
numerical-answers
analog-circuits
bipolar-junction-transistor
+
–
0
votes
0
answers
2469
GATE ECE 2014 Set 4 | Question: 36
An N-type semiconductor having uniform doping is biased as shown in the figure. If $E_C$ is the lowest energy level of the conduction band, $E_V$ is the highest energy level of the valance band and $E_F$ is the Fermi level, which one of the following represents the energy band diagram for the biased N-type semiconductor?
An N-type semiconductor having uniform doping is biased as shown in the figure.If $E_C$ is the lowest energy level of the conduction band, $E_V$ is the highest energy lev...
Milicevic3306
16.0k
points
102
views
Milicevic3306
asked
Mar 26, 2018
Number Representations
gate2014-ec-4
digital-circuits
semiconductor
+
–
0
votes
0
answers
2470
GATE ECE 2014 Set 4 | Question: 37
Consider the common-collector amplifier in the figure (bias circuitry ensures that the transistor operates in forward active region, but has been omitted for simplicity). Let $I_C$ be the collector current, $V_{BE}$ be the base-emitter voltage and $V_T$ be the ... of values of $R_E$? $g_mR_E <<1$ $I_CR_E>>V_T$ $g_mr_o>>1$ $V_{BE}>>V_T$
Consider the common-collector amplifier in the figure (bias circuitry ensures that the transistor operates in forward active region, but has been omitted for simplicity)....
Milicevic3306
16.0k
points
175
views
Milicevic3306
asked
Mar 26, 2018
Analog Circuits
gate2014-ec-4
analog-circuits
amplifier
+
–
0
votes
0
answers
2471
GATE ECE 2014 Set 4 | Question: 38
A BJT in a common-base configuration is used to amplify a signal received by a $50 \Omega$ antenna. Assume $kT/q=25 \: mV$. The value of the collector bias current (in mA) required to match the input impedance of the amplifier to the impedance of the antenna is __________.
A BJT in a common-base configuration is used to amplify a signal received by a $50 \Omega$ antenna. Assume $kT/q=25 \: mV$. The value of the collector bias current (in mA...
Milicevic3306
16.0k
points
103
views
Milicevic3306
asked
Mar 26, 2018
Analog Circuits
gate2014-ec-4
numerical-answers
bjt-and-mosfet-amplifiers
analog-circuits
+
–
0
votes
0
answers
2472
GATE ECE 2014 Set 4 | Question: 39
For the common collector amplifier shown in the figure, the BJT has high $\beta$, negligible $V_{CE(sat)}$, and $V_{BE}=0.7 \: V$. The maximum undistorted peak-to-peak output voltage $v_o$ (in Volts) is __________
For the common collector amplifier shown in the figure, the BJT has high $\beta$, negligible $V_{CE(sat)}$, and $V_{BE}=0.7 \: V$. The maximum undistorted peak-to-peak ou...
Milicevic3306
16.0k
points
171
views
Milicevic3306
asked
Mar 26, 2018
Analog Circuits
gate2014-ec-4
numerical-answers
bjt-and-mosfet-amplifiers
analog-circuits
+
–
0
votes
0
answers
2473
GATE ECE 2014 Set 4 | Question: 41
A $16$ – bit ripple carry adder is realized using $16$ identical full adders (FA) as shown in the figure. The carry-propagation delay of each FA is $12$ ns and the sum-propagation delay of each FA is $15$ ns. The worst case delay (in ns) of this $16$-bit adder will be _______
A $16$ – bit ripple carry adder is realized using $16$ identical full adders (FA) as shown in the figure. The carry-propagation delay of each FA is $12$ ns and the sum-...
Milicevic3306
16.0k
points
71
views
Milicevic3306
asked
Mar 26, 2018
Electromagnetics
gate2014-ec-4
numerical-answers
electromagnetics
propagation-delay
+
–
0
votes
0
answers
2474
GATE ECE 2014 Set 4 | Question: 42
An $8085$ microprocessor executes $ STA 1234H $ with starting address location $1FFEH$ (STA copies the contents of the Accumulator to the $16$ ... $1FH, FEH, 1FH, FFH, 12H$ $1FH, 1FH, 12H, 12H$ $1FH, 1FH, 12H, 20H, 12H$
An $8085$ microprocessor executes $“STA 1234H”$ with starting address location $1FFEH$ (STA copies the contents of the Accumulator to the $16$- bit address location)....
Milicevic3306
16.0k
points
75
views
Milicevic3306
asked
Mar 26, 2018
Digital Circuits
gate2014-ec-4
digital-circuits
microprocessor-8085
+
–
0
votes
0
answers
2475
GATE ECE 2014 Set 4 | Question: 43
A stable linear time variant (LTI) system has a transfer function $H(s) = \frac{1}{s^2+s-6}$. To make this system casual it needs to be cascaded with another LTI system having a transfer function $H_1(s)$. A correct choice for $H_1(s)$ among the following options is $s+3$ $s-2$ $s-6$ $s+1$
A stable linear time variant (LTI) system has a transfer function $H(s) = \frac{1}{s^2+s-6}$. To make this system casual it needs to be cascaded with another LTI system ...
Milicevic3306
16.0k
points
97
views
Milicevic3306
asked
Mar 26, 2018
Continuous-time Signals
gate2014-ec-4
continuous-time-signals
signals-and-systems
linear-time-invariant-systems
+
–
0
votes
0
answers
2476
GATE ECE 2014 Set 4 | Question: 44
A casual LTI system has zero initial conditions and impulse response $h(t)$. Its input $x(t)$ and output $y(t)$ are related through the linear constant-coefficient differential equation $\frac{d^2y(t)}{dt^2} + a \frac{dy(t)}{dt}+a^2y(t)=x(t).$ Let another ... $G(s)$ is the Laplace transform of $g(t)$, then the number of poles of $G(s)$ is _________.
A casual LTI system has zero initial conditions and impulse response $h(t)$. Its input $x(t)$ and output $y(t)$ are related through the linear constant-coefficient differ...
Milicevic3306
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Milicevic3306
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Continuous-time Signals
gate2014-ec-4
numerical-answers
continuous-time-signals
signals-and-systems
linear-time-invariant-systems
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0
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2477
GATE ECE 2014 Set 4 | Question: 45
The $N$-point DFT $X$ of a sequence $x[n]$, $0 \leq n \leq N-1$ is given by $X[k] = \frac{1}{\sqrt{N}} \Sigma_{n=0}^{N-1} x[n] e^{-j \frac{2\pi}{N}nk}, \: \: \: 0 \leq k \leq N-1.$ Denote this relation as $X=DFT(x)$. For ... $x = \begin{bmatrix} 1 & 3 & 2 & 2 \end{bmatrix}$ $x = \begin{bmatrix} 1 & 2 & 2 & 3 \end{bmatrix}$
The $N$-point DFT $X$ of a sequence $x[n]$, $0 \leq n \leq N-1$ is given by $$X[k] = \frac{1}{\sqrt{N}} \Sigma_{n=0}^{N-1} x[n] e^{-j \frac{2\pi}{N}nk}, \: \: \: 0 \leq k...
Milicevic3306
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95
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Milicevic3306
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Mar 26, 2018
Continuous-time Signals
gate2014-ec-4
continuous-time-signals
discrete-fourier-transform
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0
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2478
GATE ECE 2014 Set 4 | Question: 46
The state transition matrix $\phi(t)$ of a system $\begin{bmatrix} x_1 \\ x_2 \end{bmatrix} = \begin{bmatrix} 0 & 1 \\ 0 & 0 \end{bmatrix} \begin{bmatrix} x_1 \\ x_2 \end{bmatrix}$ is $\begin{bmatrix} t & 1 \\ 1 & 0 \end{bmatrix} \\$ ... $\begin{bmatrix} 0 & 1 \\ 1 & t \end{bmatrix} \\$ $\begin{bmatrix} 1 & t \\ 0 & 1 \end{bmatrix}$
The state transition matrix $\phi(t)$ of a system $\begin{bmatrix} x_1 \\ x_2 \end{bmatrix} = \begin{bmatrix} 0 & 1 \\ 0 & 0 \end{bmatrix} \begin{bmatrix} x_1 \\ x_2 \...
Milicevic3306
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Milicevic3306
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Mar 26, 2018
Linear Algebra
gate2014-ec-4
linear-algebra
matrices
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0
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0
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2479
GATE ECE 2014 Set 4 | Question: 47
Consider a transfer function $G_p(s) = \frac{ps^2+3ps-2}{s^2+(3+p)s+(2-p)}$ with $p$ a positive real parameter. The maximum value of $p$ until which $G_p$ remains stable is ___________.
Consider a transfer function $G_p(s) = \frac{ps^2+3ps-2}{s^2+(3+p)s+(2-p)}$ with $p$ a positive real parameter. The maximum value of $p$ until which $G_p$ remains stable...
Milicevic3306
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Mar 26, 2018
Network Solution Methods
gate2014-ec-4
numerical-answers
network-solution-methods
transfer-function
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0
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2480
GATE ECE 2014 Set 4 | Question: 48
The characteristic equation of a unity negative feedback system is $1+KG(s)=0$. The open loop transfer function $G(s)$ has one pole at $0$ and two poles at $-1$. The root locus of the system for varying $K$ is shown in the figure. The constant damping ... point A. The distance from the origin to point A is given as $0.5$. The value of $K$ at point A is ________.
The characteristic equation of a unity negative feedback system is $1+KG(s)=0$. The open loop transfer function $G(s)$ has one pole at $0$ and two poles at $-1$. The root...
Milicevic3306
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145
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Milicevic3306
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Network Solution Methods
gate2014-ec-4
numerical-answers
network-solution-methods
transfer-function
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