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3041
GATE ECE 2017 Set 1 | Question: 51
Let $X(t)$ be a wide sense stationary random process with the power spectral density $S_{X}(f)$ as shown in Figure (a), where $f$ is in Hertz$(Hz)$. The random process $X(t)$ ... Select the correct option: only I is true only II and III are true only I and II are true only I and III are true
Let $X(t)$ be a wide sense stationary random process with the power spectral density $S_{X}(f)$ as shown in Figure (a), where $f$ is in Hertz$(Hz)$. The random process $X...
admin
46.4k
points
104
views
admin
asked
Nov 17, 2017
Communications
gate2017-ec-1
autocorrelation-and-power-spectral-density
communications
+
–
0
votes
0
answers
3042
GATE ECE 2017 Set 1 | Question: 50
In binary frequency shift keying (FSK), the given signal waveforms are $u_{0}(t)=5\, \cos(20000\pi t)\, ;0\leq t\leq T \text{, and } \\ u_{1}(t)=5\, \cos(22000\pi t)\, ;0 \leq t \leq T,$ where $T$ is the bit-duration interval and $t$ is in seconds ... (in milliseconds) required to have $u_{0}(t)$ and $u_{1}(t)$ uncorrelated is $0.25$ ms $0.5$ ms $0.75$ ms $1.0$ ms
In binary frequency shift keying (FSK), the given signal waveforms are $$u_{0}(t)=5\, \cos(20000\pi t)\, ;0\leq t\leq T \text{, and } \\ u_{1}(t)=5\, \cos(22000\pi t)\, ;...
admin
46.4k
points
215
views
admin
asked
Nov 17, 2017
Communications
gate2017-ec-1
digital-communication
frequency-shift-keying
communications
+
–
0
votes
0
answers
3043
GATE ECE 2017 Set 1 | Question: 53
An optical fiber is kept along the $\hat{z}$ direction. The refractive indices for the electric fields along $\hat{x}$ and $\hat{y}$ directions in the fiber are $n_{x}=1.5000$ and $n_{y}=1.5001$, ... is circularly polarized at the input of the fiber, the minimum propagation distance after which it becomes linearly polarized, in centimeters,is______________.
An optical fiber is kept along the $\hat{z}$ direction. The refractive indices for the electric fields along $\hat{x}$ and $\hat{y}$ directions in the fiber are $n_{x}=1....
admin
46.4k
points
118
views
admin
asked
Nov 17, 2017
Electromagnetics
gate2017-ec-1
polarization
optical-fiber
numerical-answers
electromagnetics
+
–
0
votes
0
answers
3044
GATE ECE 2017 Set 1 | Question: 52
A continuous time signal $x(t)=4 \cos(200\pi t)+8 \cos(400\pi t)$, where $t$ is in seconds, is the input to a linear time invariant (LTI) filter with the impulse response $h(t)=\begin{cases} \frac{2 \sin (300\pi t)}{\pi t},& t\neq 0 \\ 600, & t=0. \end{cases}$ Let $y(t)$ be the output of this filter. The maximum value of $ \mid y(t) \mid $ is _________.
A continuous time signal $x(t)=4 \cos(200\pi t)+8 \cos(400\pi t)$, where $t$ is in seconds, is the input to a linear time invariant (LTI) filter with the impulse response...
admin
46.4k
points
190
views
admin
asked
Nov 17, 2017
Continuous-time Signals
gate2017-ec-1
numerical-answers
continuous-time-signals
linear-time-invariant-systems
+
–
0
votes
0
answers
3045
GATE ECE 2017 Set 1 | Question: 49
The Nyquist plot of the transfer function $G(s)=\frac{K}{(s^{2}+2s+2)(s+2)}$ does not encircle the point $(-1+j0)$ for $K=10$ but does encircle the point $(-1+j0)$ for $K=100$. Then the closed loop system (having unity gain feedback) is stable ... $K=10$ and unstable for $K=100$ unstable for $K=10$ and stable for $K=100$ stable for $K=10$ and unstable for $K=100$
The Nyquist plot of the transfer function$$G(s)=\frac{K}{(s^{2}+2s+2)(s+2)}$$does not encircle the point $(-1+j0)$ for $K=10$ but does encircle the point $(-1+j0)$ for $K...
admin
46.4k
points
153
views
admin
asked
Nov 17, 2017
Control Systems
gate2017-ec-1
nyquist
control-systems
+
–
0
votes
0
answers
3046
GATE ECE 2017 Set 1 | Question: 54
The expression for an electric field in free space is , $\textbf{E}=E_{0}( \hat{x}+\hat{y}+j2 \hat{z} )e^{-j( \omega t-kx+ky)}$ where $x,y,z$ represent the special coordinates, $t$ represents time, and ... normal to the $z$-axis represents an elliptically polarized plane wave propagating along the $x - y$ plane represents a linearly polarized plane wave
The expression for an electric field in free space is , $\textbf{E}=E_{0}( \hat{x}+\hat{y}+j2 \hat{z} )e^{-j( \omega t-kx+ky)}$ where $x,y,z$ represent the special coordi...
admin
46.4k
points
163
views
admin
asked
Nov 17, 2017
Electromagnetics
gate2017-ec-1
plane-waves-and-properties
electromagnetics
+
–
0
votes
0
answers
3047
GATE ECE 2017 Set 1 | Question: 55
A half wavelength dipole is kept in the $x-y$ plane and oriented along $45^{\circ}$ from the $x$-axis. Determine the direction of null in the radiation pattern for $0\leq \phi \leq \pi$. Here the angle $\theta (0\leq \theta \leq \pi )$ is measured from the $z$-axis and ... $\theta =45^{o},\phi =90^{o}$ $\theta =90^{o},\phi =135^{o}$ $\theta =45^{o},\phi =135^{o}$
A half wavelength dipole is kept in the $x-y$ plane and oriented along $45^{\circ}$ from the $x$-axis. Determine the direction of null in the radiation pattern for $0\leq...
admin
46.4k
points
172
views
admin
asked
Nov 17, 2017
Electromagnetics
gate2017-ec-1
antennas
electromagnetics
+
–
0
votes
0
answers
3048
GATE ECE 2017 Set 1 | Question: 36
The dependence of drift velocity of electrons on electric field in a semiconductor is shown below. The semiconductor has a uniform electron concentration of $n=1 \times 10^{16} cm^{3}$ and electronic charge $q=1.6 \times 10 ^{-19}C$. If a bias ... a $1 µm$ region of this semiconductor, the resulting current density in this region, in $kA/cm^{2} $, is _____.
The dependence of drift velocity of electrons on electric field in a semiconductor is shown below. The semiconductor has a uniform electron concentration of $n=1 \times 1...
admin
46.4k
points
194
views
admin
asked
Nov 17, 2017
Electronic Devices
gate2017-ec-1
carrier-transport
numerical-answers
electronic-devices
+
–
1
votes
0
answers
3049
GATE ECE 2017 Set 1 | Question: 37
As shown , a uniformly doped Silicon bar of length $L=0.1\mu m$ with a donor concentration $N_{D}=10^{16}cm^{-3}$ is illuminated at $x=0$ ... that goes to $0$ at $x=L$, the magnitude of the diffusion current density at $x=L/2$, in $A/cm^{2}$, is ___________.
As shown , a uniformly doped Silicon bar of length $L=0.1\mu m$ with a donor concentration $N_{D}=10^{16}cm^{-3}$ is illuminated at $x=0$ such that electron and hole pair...
admin
46.4k
points
333
views
admin
asked
Nov 17, 2017
Electronic Devices
gate2017-ec-1
numerical-answers
electronic-devices
intrinsic-and-extrinsic-silicon
carrier-transport
+
–
0
votes
0
answers
3050
GATE ECE 2017 Set 1 | Question: 38
As shown, two Silicon (Si) abrupt $p-n$ junction diodes are fabricated with uniform donor doping concentrations of $ N_{D1}=10^{14} cm^{-3} $ and $N_{D2}=10^{16}cm^{-3}$ in the $n$-regions of the diodes, and uniform acceptor ... in potentials of the diodes, the ratio $C_{2}/C_{1}$ of their reverse bias capacitance for the same applied reverse bias, is _________.
As shown, two Silicon (Si) abrupt $p-n$ junction diodes are fabricated with uniform donor doping concentrations of $ N_{D1}=10^{14} cm^{-3} $ and $N_{D2}=10^{16}cm^{-3}$ ...
admin
46.4k
points
76
views
admin
asked
Nov 17, 2017
Electronic Devices
gate2017-ec-1
numerical-answers
p-n-junction
electronic-devices
+
–
0
votes
0
answers
3051
GATE ECE 2017 Set 1 | Question: 39
In the figure shown, the $npn$ transistor acts as a switch. For the input $V_{in}(t)$ as shown in the figure, the transistor switches between the cut-off and saturation regions of operation, when $T$ is large. Assume collector-to-emitter ... $(\alpha)$ of the transistor for the switching should be __________.
In the figure shown, the $npn$ transistor acts as a switch.For the input $V_{in}(t)$ as shown in the figure, the transistor switches between the cut-off and saturation re...
admin
46.4k
points
109
views
admin
asked
Nov 17, 2017
Analog Circuits
gate2017-ec-1
bipolar-junction-transistor
numerical-answers
analog-circuits
+
–
0
votes
0
answers
3052
GATE ECE 2017 Set 1 | Question: 41
For the circuit shown, assume that the NMOS transistor is in saturation. Its threshold voltage $V_{tn}=1V$ and its transconductance parameter $\mu_{n}C_{ox}\big(\frac{W}{L}\big)=1 \: mA/V^{2}$.Neglect channel length modulation and body bias effects. Under these conditions, the drain current $I_{D}$ in $mA$ is ________.
For the circuit shown, assume that the NMOS transistor is in saturation. Its threshold voltage $V_{tn}=1V$ and its transconductance parameter $\mu_{n}C_{ox}\big(\frac{W}{...
admin
46.4k
points
213
views
admin
asked
Nov 17, 2017
Analog Circuits
gate2017-ec-1
bjt-and-mosfet-amplifiers
numerical-answers
analog-circuits
+
–
0
votes
0
answers
3053
GATE ECE 2017 Set 1 | Question: 41
For the DC analysis of the Common-Emitter amplifier shown, neglect the base current and assume that the emitter and collector currents are equal. Given that $V_{T}=25mV,V_{BE}=0.7V$, and the BJT output resistance $r_{o}$ is practically infinite. Under these conditions, the midband voltage gain magnitude, $A_{v}=\mid v_{o}/v_{i} \mid $, V/V is ____________.
For the DC analysis of the Common-Emitter amplifier shown, neglect the base current and assume that the emitter and collector currents are equal. Given that $V_{T}=25mV,V...
admin
46.4k
points
126
views
admin
asked
Nov 17, 2017
Analog Circuits
gate2017-ec-1
bjt-and-mosfet-amplifiers
numerical-answers
analog-circuits
+
–
0
votes
0
answers
3054
GATE ECE 2017 Set 1 | Question: 44
A $4$-bit shift register circuit configured for right-shift operation, i.e. $D_{in}\rightarrow A,A\rightarrow B,B\rightarrow C,C\rightarrow D$, is shown. If the present state of the shift register is $ABCD=1101$, the number of clock cycles required to reach the state $ABCD=1111$ is _________.
A $4$-bit shift register circuit configured for right-shift operation, i.e. $D_{in}\rightarrow A,A\rightarrow B,B\rightarrow C,C\rightarrow D$, is shown. If the present s...
admin
46.4k
points
220
views
admin
asked
Nov 17, 2017
Number Representations
gate2017-ec-1
digital-circuits
sequential-circuit
shift-registers
numerical-answers
+
–
0
votes
0
answers
3055
GATE ECE 2017 Set 1 | Question: 43
Which one of the following gives the simplified sum of products expression for the Boolean function $F=m_{0}+m_{2}+m_{3}+m_{5}$, where $m_{0},m_{2},m_{3}$ and $m_{5}$ are minterms corresponding to the inputs $A,B$ and $C$ with $A$ as the $MSB$ and ... $\overline{A} BC+\overline{A} \: \overline{C}+A \overline{B}C$
Which one of the following gives the simplified sum of products expression for the Boolean function $F=m_{0}+m_{2}+m_{3}+m_{5}$, where $m_{0},m_{2},m_{3}$ and $m_{5}$ are...
admin
46.4k
points
111
views
admin
asked
Nov 17, 2017
Digital Circuits
gate2017-ec-1
digital-circuits
boolean-algebra
+
–
0
votes
0
answers
3056
GATE ECE 2017 Set 1 | Question: 42
The amplifier circuit shown in the figure is implemented using a compensated operational amplifier (op-amp), and has an open-loop voltage gain, $A_{0}=10^{5}V/V$ and an open-loop cut-off frequency, $f_{c}=8Hz$. The voltage gain of the amplifier at $15$ kHz, in V/V, is____________.
The amplifier circuit shown in the figure is implemented using a compensated operational amplifier (op-amp), and has an open-loop voltage gain, $A_{0}=10^{5}V/V$ and an o...
admin
46.4k
points
157
views
admin
asked
Nov 17, 2017
Analog Circuits
gate2017-ec-1
numerical-answers
analog-circuits
op-amps
+
–
0
votes
0
answers
3057
GATE ECE 2017 Set 1 | Question: 45
The following FIVE instructions were executed on an $8085$ microprocessor. MVI A, $33$H MVI B, $78$H ADD B CMA ANI $32$H The Accumulator value immediately after the execution of the fifth instruction is $00H$ $10H$ $11H$ $32H$
The following FIVE instructions were executed on an $8085$ microprocessor.MVI A, $33$HMVI B, $78$HADD BCMAANI $32$HThe Accumulator value immediately after the execution o...
admin
46.4k
points
200
views
admin
asked
Nov 17, 2017
Digital Circuits
gate2017-ec-1
digital-circuits
microprocessor-8085
+
–
0
votes
0
answers
3058
GATE ECE 2017 Set 1 | Question: 46
A finite state machine (FSM) is implemented using the D flip-flop A and B, and logic gates, as shown in the figure below. The four possible states of the FSM are $Q_{A}Q_{B}=00,01,10$ and $11$. Assume that $X_{IN}$ is held at a constant logic ... states if $X_{IN}=0$ only two or four possible states if $X_{IN}=1$ only two or four possible states if $X_{IN}=0$
A finite state machine (FSM) is implemented using the D flip-flop A and B, and logic gates, as shown in the figure below. The four possible states of the FSM are $Q_{A}Q_...
admin
46.4k
points
333
views
admin
asked
Nov 17, 2017
Number Representations
gate2017-ec-1
digital-circuits
sequential-circuit
counters
+
–
0
votes
0
answers
3059
GATE ECE 2017 Set 1 | Question: 47
A linear time invariant (LTI) system with the transfer function $G(s)=\frac{K(s^{2}+2s+2)}{(s_{2}-3s+2)}$ is connected in unity feedback configuration as shown in the figure. For the closed loop system shown, the root locus for $0< K < \infty$ ... $K>1.5$ $1<K<1.5$ $0<K<1$ no positive value of $K$
A linear time invariant (LTI) system with the transfer function $$G(s)=\frac{K(s^{2}+2s+2)}{(s_{2}-3s+2)}$$is connected in unity feedback configuration as shown in the fi...
admin
46.4k
points
223
views
admin
asked
Nov 17, 2017
Control Systems
gate2017-ec-1
linear-time-invariant-systems
transfer-function
control-systems
bode-and-root-locus-plots
+
–
0
votes
0
answers
3060
GATE ECE 2017 Set 1 | Question: 25
Consider a wireless communication link between a transmitter and a receiver located in free space, with finite and strictly positive capacity. If the effective areas of the transmitter and the receiver antennas, and the distance between them are all doubled, and ... factor of $2$ Decreases by a factor of $2$ Remains unchanged Decreases by a factor of $\sqrt{2}$
Consider a wireless communication link between a transmitter and a receiver located in free space, with finite and strictly positive capacity. If the effective areas of t...
admin
46.4k
points
171
views
admin
asked
Nov 17, 2017
Electromagnetics
gate2017-ec-1
antennas
electromagnetics
+
–
0
votes
0
answers
3061
GATE ECE 2017 Set 1 | Question: 26
Let $f(x)=e^{x+x^{2}}$ for real $x$ . From among the following, choose the Taylor series approximation of $f(x)$ around $x=0$, which includes all powers of $x$ less than or equal to $3$. $1 + x + x^{2} + x^{3} $ $1 + x +\frac{3}{2} x^{2} + x^{3} $ $1 + x +\frac{3}{2} x^{2} + \frac{7}{6}x^{3} $ $1 + x +3 x^{2} + 7x^{3} $
Let $f(x)=e^{x+x^{2}}$ for real $x$ . From among the following, choose the Taylor series approximation of $f(x)$ around $x=0$, which includes all powers of $x$ less than...
admin
46.4k
points
122
views
admin
asked
Nov 17, 2017
Calculus
gate2017-ec-1
calculus
taylor-series
+
–
0
votes
0
answers
3062
GATE ECE 2017 Set 1 | Question: 9
A bar of Gallium Arsenide (GaAs) is doped with silicon such that the silicon atoms occupy Gallium and Arsenic sites in the GaAs crystal. Which one of the following statements is true? Silicon atoms act as $p$-type dopants in Arsenic sites and ... Arsenic sites as well as Gallium sites Silicon atoms act as $n$-type dopants in Arsenic sites as well as Gallium sites
A bar of Gallium Arsenide (GaAs) is doped with silicon such that the silicon atoms occupy Gallium and Arsenic sites in the GaAs crystal. Which one of the following statem...
admin
46.4k
points
279
views
admin
asked
Nov 17, 2017
Electromagnetics
gate2017-ec-1
electromagnetics
+
–
0
votes
0
answers
3063
GATE ECE 2017 Set 1 | Question: 28
Let $I=\int_{c}\left ( 2zdx+2ydy+2xdx \right )$ where $x,y,z$ are real, and let $C$ be the straight line segment from point $A:(0,2,1)$ to point $B:(4,1,-1)$.The value of $I$ is ____________.
Let $I=\int_{c}\left ( 2zdx+2ydy+2xdx \right )$ where $x,y,z$ are real, and let $C$ be the straight line segment from point $A:(0,2,1)$ to point $B:(4,1,-1)$.The value of...
admin
46.4k
points
163
views
admin
asked
Nov 17, 2017
Complex Analysis
gate2017-ec-1
complex-analysis
numerical-answers
+
–
0
votes
0
answers
3064
GATE ECE 2017 Set 1 | Question: 29
Which one of the following is the general solution of the first order differential equation $\frac{dy}{dx}=(x+y-1)^{2},$ where $x,y$ are real? $y=1+x+\tan^{-1}(x+c)$, where $c$ is a constant $y=1+x+\tan(x+c)$, where $c$ is a constant $y=1-x+\tan^{-1}(x+c)$, where $c$ is a constant $y=1-x+\tan(x+c)$, where $c$ is a constant
Which one of the following is the general solution of the first order differential equation $$\frac{dy}{dx}=(x+y-1)^{2},$$ where $x,y$ are real?$y=1+x+\tan^{-1}(x+c)$, wh...
admin
46.4k
points
142
views
admin
asked
Nov 17, 2017
Differential Equations
gate2017-ec-1
differential-equations
first-order-differential-equation
+
–
0
votes
0
answers
3065
GATE ECE 2017 Set 1 | Question: 20
Which of the following can be the pole-zero configuration of a phase-lag controller (lag compensator)?
Which of the following can be the pole-zero configuration of a phase-lag controller (lag compensator)?
admin
46.4k
points
284
views
admin
asked
Nov 17, 2017
Analog Circuits
gate2017-ec-1
mosfet
analog-circuits
+
–
0
votes
0
answers
3066
GATE ECE 2017 Set 1 | Question: 31
Let $x(t)$ be a continuous time periodic signal with fundamental period $T=1$ seconds.Let ${a_{k} }$ be the complex Fourier series coefficients of $x(t)$, where $k$ is integer valued. Consider the following statements about $x(3t)$: The complex ... one of the following is correct? Only II and III are true Only I and III are true Only III is true Only I is true
Let $x(t)$ be a continuous time periodic signal with fundamental period $T=1$ seconds.Let ${a_{k} }$ be the complex Fourier series coefficients of $x(t)$, where $k$ is in...
admin
46.4k
points
137
views
admin
asked
Nov 17, 2017
Continuous-time Signals
gate2017-ec-1
fourier-transform
continuous-time-signals
signals-and-systems
+
–
0
votes
0
answers
3067
GATE ECE 2017 Set 1 | Question: 32
Two discrete-time signals $x[n]$ and $h[n]$ are both non-zero only for $n=0,1,2$, and are zero otherwise .It is given that $x[0]=1, \: x[1]=2, \: x[2]=1, \: h[0]=1$ Let $y[n]$ be the linear convolution of $x[n]$ and $h[n]$. Given that $y[1]=3$ and $y[2]=4$, the value of the expression $(10y[3]+y[4])$ is__________.
Two discrete-time signals $x[n]$ and $h[n]$ are both non-zero only for $n=0,1,2$, and are zero otherwise .It is given that$$x[0]=1, \: x =2, \: x =1, \: h[0]=1$$ Let $y[n...
admin
46.4k
points
138
views
admin
asked
Nov 17, 2017
Continuous-time Signals
gate2017-ec-1
numerical-answers
continuous-time-signals
discrete-time-signals
signals-and-systems
+
–
0
votes
0
answers
3068
GATE ECE 2017 Set 1 | Question: 33
Let $h[n]$ ... radians. Given that $H(\omega_{0})=0$ and $0< \omega_{0} < \pi$, the value of $\omega_{0}$ (in radians) is equal to__________.
Let $h[n]$ be the impulse response of a discrete-time linear time invariant(LTI) filter. The impulse response is given by $$h[0]=\frac{1}{3}; \, h =\frac{1}{3}; \, h =\fr...
admin
46.4k
points
174
views
admin
asked
Nov 17, 2017
Continuous-time Signals
gate2017-ec-1
numerical-answers
continuous-time-signals
linear-time-invariant-systems
fourier-transform
+
–
0
votes
0
answers
3069
GATE ECE 2017 Set 1 | Question: 35
In the circuit shown, the voltage $V_{IN}(t)$ is described by: $V_{IN}(t)=\begin{cases} 0, & \text{for } t< 0 \\ 15 \text{Volts} & \text{for } t\geq 0 \end{cases}$ where $t$ is in seconds. The time (in seconds) at which the current $I$ in the circuit will reach the value $2$ Amperes is ___________.
In the circuit shown, the voltage $V_{IN}(t)$ is described by: $$V_{IN}(t)=\begin{cases} 0, & \text{for } t< 0 \\ 15 \text{Volts} & \text{for } t\geq 0 \end{cases}$$wher...
admin
46.4k
points
143
views
admin
asked
Nov 17, 2017
Analog Circuits
gate2017-ec-1
numerical-answers
analog-circuits
+
–
0
votes
0
answers
3070
GATE ECE 2017 Set 1 | Question: 34
The figure shows an RLC circuit excited by the sinusoidal voltage $100 \cos(3t)$ Volts, where $t$ is in seconds. The ratio $\frac{\text{amplitude of }V_{2}}{\text{amplitude of }V{1}}$ is______.
The figure shows an RLC circuit excited by the sinusoidal voltage $100 \cos(3t)$ Volts, where $t$ is in seconds. The ratio $\frac{\text{amplitude of }V_{2}}{\text{amplitu...
admin
46.4k
points
183
views
admin
asked
Nov 17, 2017
Network Solution Methods
gate2017-ec-1
numerical-answers
network-solution-methods
rlc-circuits
+
–
0
votes
0
answers
3071
GATE ECE 2017 Set 1 | Question: 14
The Miller effect in the context of a Common Emitter amplifier explains An increase in the low-frequency cutoff frequency An increase in the high-frequency cutoff frequency A decrease in the low-frequency cutoff frequency A decrease in the high -frequency cutoff frequency
The Miller effect in the context of a Common Emitter amplifier explainsAn increase in the low-frequency cutoff frequencyAn increase in the high-frequency cutoff frequency...
admin
46.4k
points
530
views
admin
asked
Nov 17, 2017
Analog Circuits
gate2017-ec-1
amplifier
analog-circuits
+
–
0
votes
0
answers
3072
GATE ECE 2017 Set 1 | Question: 15
In the latch circuit shown, the $NAND$ gates have non-zero, but unequal propagation delays. The present input condition is $P=Q=’0’$. If the input condition is changed simultaneously to $P=Q=’1’$, the outputs $X$ and $Y$ are, $X=’1’$, $Y=’1’$ either $X=’1’$, $Y=’0’$ or $X=’0’$, $Y=’1’$ either $X=’1’$, $Y=’1’$ or $X=’0’$, $Y=’0’$ $X=’0’$, $Y=’0’$
In the latch circuit shown, the $NAND$ gates have non-zero, but unequal propagation delays. The present input condition is $P=Q=’0’$. If the input condition is change...
admin
46.4k
points
172
views
admin
asked
Nov 17, 2017
Number Representations
gate2017-ec-1
digital-circuits
sequential-circuit
latch
+
–
0
votes
0
answers
3073
GATE ECE 2017 Set 1 | Question: 15
A good transconductance amplifier should have high input resistance and low output resistance low input resistance and high output resistance high input and output resistances low input and output resistances
A good transconductance amplifier should havehigh input resistance and low output resistancelow input resistance and high output resistancehigh input and output resistanc...
admin
46.4k
points
182
views
admin
asked
Nov 17, 2017
Analog Circuits
gate2017-ec-1
analog-circuits
amplifier
+
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0
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3074
GATE ECE 2017 Set 1 | Question: 17
Consider the D-Latch shown in the figure, which is transparent when its clock input $CK$ is high and has zero propagation delay. In the figure , the clock signal $CLK$ has a $50 \%$ duty cycle and $CLK2$ is a one-fifth period delayed version of $CLK1$.The duty cycle at the output of the latch in percentage is _________.
Consider the D-Latch shown in the figure, which is transparent when its clock input $CK$ is high and has zero propagation delay. In the figure , the clock signal $CLK$ ha...
admin
46.4k
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237
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admin
asked
Nov 17, 2017
Sequential Circuits
gate2017-ec-1
digital-circuits
sequential-circuit
latch
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0
votes
0
answers
3075
GATE ECE 2017 Set 1 | Question: 18
The open loop transfer function $G(s)=\frac{(s+1)}{s^{p}(s+2)(s+3)}$ where $p$ is an integer, is connected in unity feedback configuration as shown in figure. Given that the steady state error is zero for unit step input and is $6$ for unit ramp input, the parameter $p$ is__________.
The open loop transfer function $$G(s)=\frac{(s+1)}{s^{p}(s+2)(s+3)}$$ where $p$ is an integer, is connected in unity feedback configuration as shown in figure.Given that...
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46.4k
points
211
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admin
asked
Nov 17, 2017
Control Systems
gate2017-ec-1
numerical-answers
control-systems
transfer-function
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0
votes
0
answers
3076
GATE ECE 2017 Set 1 | Question: 23
In a digital communication system, the overall pulse shape $p(t)$ at the receiver before the sampler has the Fourier transform $P(f)$. If the symbols are transmitted at the rate of $2000$ symbols per second, for which of the following cases is the inter symbol interference zero?
In a digital communication system, the overall pulse shape $p(t)$ at the receiver before the sampler has the Fourier transform $P(f)$. If the symbols are transmitted at t...
admin
46.4k
points
528
views
admin
asked
Nov 17, 2017
Communications
gate2017-ec-1
digital-communication
communications
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0
votes
0
answers
3077
GATE ECE 2017 Set 1 | Question: 22
Which one of the following statements about differential pulse code modulation (DPCM) is true? The sum of message signal sample with its prediction is quantized The message signal sample is directly quantized, and its prediction is not ... signal sample and a random signal is quantized The difference of message signal sample with its prediction is quantized
Which one of the following statements about differential pulse code modulation (DPCM) is true?The sum of message signal sample with its prediction is quantizedThe message...
admin
46.4k
points
1.2k
views
admin
asked
Nov 17, 2017
Communications
gate2017-ec-1
digital-communications
differential-pulse-code-modulation
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0
votes
0
answers
3078
GATE ECE 2017 Set 1 | Question: 21
Let $\left ( X_{1},X_{2} \right )$ be independent random variables. $\left ( X_{1} \right )$ has mean $0$ and variance $1$, while $\left ( X_{2} \right )$ has mean $1$ and variance $4$. The mutual information $I\left (X_{1},X_{2} \right )$ between $X1$ and $X2$ in bits is_______.
Let $\left ( X_{1},X_{2} \right )$ be independent random variables. $\left ( X_{1} \right )$ has mean $0$ and variance $1$, while $\left ( X_{2} \right )$ has mean $1$ an...
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46.4k
points
105
views
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asked
Nov 17, 2017
Communications
gate2017-ec-1
information-theory
mutual-information
numerical-answers
communications
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0
votes
0
answers
3079
GATE ECE 2017 Set 1 | Question: 19
Consider a stable system with transfer function,$G(s)=\frac{s^{p}+b_{1}s^{p-1}+\dots +b_{p}}{s^{q}+a_{1}s^{q-1}+\dots +a_{q}}$, where $b_1, \dots ,b_p$ and $a_1, \dots ,a_q$ are real valued constants.The slope of the Bode log magnitude curve of $G(s)$ ... of values for $p$ and $q$ is $p=0$ and $q=3$ $p=1$ and $q=7$ $p=2$ and $q=3$ $p=3$ and $q=5$
Consider a stable system with transfer function,$$G(s)=\frac{s^{p}+b_{1}s^{p-1}+\dots +b_{p}}{s^{q}+a_{1}s^{q-1}+\dots +a_{q}}$$, where $b_1, \dots ,b_p$ and $a_1, \dots ...
admin
46.4k
points
147
views
admin
asked
Nov 17, 2017
Control Systems
gate2017-ec-1
bode-and-root-locus-plots
control-systems
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0
votes
0
answers
3080
GATE ECE 2017 Set 1 | Question: 24
The voltage of an electromagnetic wave propagating in a coaxial cable with uniform characteristic impedance is $V(l)= e^{-\gamma l +j\omega t }$ Volts, where $l$ ... rad/s is the angular frequency. The absolute value of the attenuation in the cable in dB/meter is__________.
The voltage of an electromagnetic wave propagating in a coaxial cable with uniform characteristic impedance is $V(l)= e^{-\gamma l +j\omega t }$ Volts, where $l$ is the d...
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46.4k
points
182
views
admin
asked
Nov 17, 2017
Electromagnetics
gate2017-ec-1
transmission-lines
impedence
numerical-answers
electromagnetics
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