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2961
GATE ECE 2018 | Question: 41
For a unity feedback control system with the forward path transfer function $G\left ( s \right )=\dfrac{K}{s\left ( s+2 \right )}$The peak resonant magnitude $M_{r}$ of the closed-loop frequency response is $2$. The corresponding value of the gain $\text{K}$ (correct to two decimal places) is _________.
For a unity feedback control system with the forward path transfer function$$G\left ( s \right )=\dfrac{K}{s\left ( s+2 \right )}$$The peak resonant magnitude $M_{r}$ of ...
gatecse
1.6k
points
127
views
gatecse
asked
Feb 19, 2018
Network Solution Methods
gate2018-ec
numerical-answers
network-solution-methods
transfer-function
+
–
0
votes
0
answers
2962
GATE ECE 2018 | Question: 3
A good transimpedance amplifier has low input impedance and high output impedance high input impedance and high output impedance high input impedance and low output impedance low input impedance and low output impedance
A good transimpedance amplifier haslow input impedance and high output impedancehigh input impedance and high output impedancehigh input impedance and low output impedanc...
gatecse
1.6k
points
126
views
gatecse
asked
Feb 19, 2018
Electromagnetics
gate2018-ec
electromagnetics
impedance
+
–
0
votes
0
answers
2963
GATE ECE 2018 | Question: 18
A $\text{p-n}$ step junction diode with a contact potential of $0.65\:V$ has a depletion width of $1\:\mu m$ at equilibrium. The forward voltage (in volts, correct to two decimal places) at which this width reduces to $0.6\:\mu m$ is __________.
A $\text{p-n}$ step junction diode with a contact potential of $0.65\:V$ has a depletion width of $1\:\mu m$ at equilibrium. The forward voltage (in volts, correct to two...
gatecse
1.6k
points
125
views
gatecse
asked
Feb 19, 2018
Electronic Devices
gate2018-ec
numerical-answers
electronic-devices
p-n-junction
+
–
0
votes
0
answers
2964
GATE ECE 2018 | Question: 34
A curve passes through the point $\left ( x=1,y=0 \right )$ and satisfies the differential equation $\dfrac{\mathrm{dy} }{\mathrm{d} x}=\dfrac{x^{2}+y^{2}}{2y}+\dfrac{y}{x}.$ The equation that describes the curve is $\ln\left (1+\dfrac{y^{2}}{x^{2}}\right)=x-1$ ... $\ln\left (1+\dfrac{y}{x}\right)=x-1$ $\dfrac{1}{2}\ln\left (1+\dfrac{y}{x}\right)=x-1$
A curve passes through the point $\left ( x=1,y=0 \right )$ and satisfies the differential equation $\dfrac{\mathrm{dy} }{\mathrm{d} x}=\dfrac{x^{2}+y^{2}}{2y}+\dfrac{y}{...
gatecse
1.6k
points
123
views
gatecse
asked
Feb 19, 2018
Differential Equations
gate2018-ec
differential-equations
+
–
0
votes
0
answers
2965
GATE ECE 2018 | Question: 43
In the circuit shown below, the $(W/L)$ value for $M_{2}$ is twice that for $M_{1}$. The two $\text{nMOS}$ transistors are otherwise identical. The threshold voltage $V_{T}$ for both transistors is $1.0\:V$. Note that $V_{GS}$ for $M_{2}$ ... $V_{x}$ is ________.
In the circuit shown below, the $(W/L)$ value for $M_{2}$ is twice that for $M_{1}$. The two $\text{nMOS}$ transistors are otherwise identical. The threshold voltage $V_{...
gatecse
1.6k
points
123
views
gatecse
asked
Feb 19, 2018
Analog Circuits
gate2018-ec
numerical-answers
analog-circuits
nmos-transistor
+
–
0
votes
0
answers
2966
GATE ECE 2018 | Question: 33
The distance (in meters) a wave has to propagate in a medium having a skin depth of $0.1\:m$ so that the amplitude of the wave attenuates by $20\:dB$, is $0.12$ $0.23$ $0.46$ $2.3$
The distance (in meters) a wave has to propagate in a medium having a skin depth of $0.1\:m$ so that the amplitude of the wave attenuates by $20\:dB$, is $0.12$$0.23$$0.4...
gatecse
1.6k
points
120
views
gatecse
asked
Feb 19, 2018
Analog Circuits
gate2018-ec
analog-circuits
+
–
0
votes
0
answers
2967
GATE ECE 2018 | Question: 4
Let the input be $u$ and the output be $y$ ... $y=au+b,b\neq 0$ $y=au$
Let the input be $u$ and the output be $y$ of a system, and the other parameters are real constants. Identify which among the following systems is not a linear system:$\d...
gatecse
1.6k
points
117
views
gatecse
asked
Feb 19, 2018
Differential Equations
gate2018-ec
differential-equations
+
–
0
votes
0
answers
2968
GATE ECE 2018 | Question: 52
Let $r=x^{2}+y-z$ and $z^{3}-xy+yz+y^{3}=1.$ Assume that $x$ and $y$ are independent variables. At $\left( x,y,z \right)=\left ( 2,-1,1 \right ),$ the value (correct to two decimal places) of $\dfrac{\partial r}{\partial x}$ is _________ .
Let $r=x^{2}+y-z$ and $z^{3}-xy+yz+y^{3}=1.$ Assume that $x$ and $y$ are independent variables. At $\left( x,y,z \right)=\left ( 2,-1,1 \right ),$ the value (correct to t...
gatecse
1.6k
points
116
views
gatecse
asked
Feb 19, 2018
Calculus
gate2018-ec
numerical-answers
calculus
partial-derivatives
+
–
0
votes
0
answers
2969
GATE ECE 2018 | Question: 50
The position of a particle $y\left ( t \right )$ is described by the differential equation: $\frac{d^{2}y}{dt^{2}}=-\frac{dy}{dt}-\frac{5y}{4}.$ The initial conditions are $y\left ( 0 \right )=1$ and $\frac{dy}{dt}\mid_{t=0}=0$. The position (accurate to two decimal places) of the particle at $t=\pi$ is _________.
The position of a particle $y\left ( t \right )$ is described by the differential equation:$$\frac{d^{2}y}{dt^{2}}=-\frac{dy}{dt}-\frac{5y}{4}.$$The initial conditions ar...
gatecse
1.6k
points
115
views
gatecse
asked
Feb 19, 2018
Differential Equations
gate2018-ec
numerical-answers
differential-equations
second-order-differential-equation
+
–
0
votes
0
answers
2970
GATE ECE 2018 | Question: 11
Let $\text{M}$ be a real $4\times 4$ matrix. Consider the following statements: $S1: M $ has $4$ linearly independent eigenvectors. $S2: M$ has $4$ distinct eigenvalues. $S3: M$ is non-singular (invertible). Which one among the following is TRUE? $S1$ implies $S2$ $S1$ implies $S3$ $S2$ implies $S1$ $S3$ implies $S2$
Let $\text{M}$ be a real $4\times 4$ matrix. Consider the following statements:$S1: M $ has $4$ linearly independent eigenvectors.$S2: M$ has $4$ distinct eigenvalues. $S...
gatecse
1.6k
points
114
views
gatecse
asked
Feb 19, 2018
Linear Algebra
gate2018-ec
linear-algebra
matrices
eigen-values
+
–
0
votes
0
answers
2971
GATE ECE 2018 | Question: 6
Consider $p(s)=s^{3}+ a_{2}s^{2}+a_{1}s+a_{0}$ with all real coefficients. It is known that its derivatives ${p}'(s)$ has no real roots. The number of real roots of $p(s)$ is $0$ $1$ $2$ $3$
Consider $p(s)=s^{3}+ a_{2}s^{2}+a_{1}s+a_{0}$ with all real coefficients. It is known that its derivatives ${p}'(s)$ has no real roots. The number of real roots of $p(s)...
gatecse
1.6k
points
112
views
gatecse
asked
Feb 19, 2018
Calculus
gate2018-ec
calculus
derivatives
+
–
0
votes
0
answers
2972
GATE ECE 2018 | Question: 20
There are two photolithography systems: one with light source of wavelength $\lambda _{1}=156\:nm$ (System $1$) and another with light source of wavelength $\lambda _{2}=325\:nm$ (System $2$). Both photolithography systems are otherwise identical. If ... $L_{min2}$ respectively, the ratio $L_{min1}/L_{min2}$ (correct to two decimal places) is __________.
There are two photolithography systems: one with light source of wavelength $\lambda _{1}=156\:nm$ (System $1$) and another with light source of wavelength $\lambda _{2}=...
gatecse
1.6k
points
112
views
gatecse
asked
Feb 19, 2018
Electronic Devices
gate2018-ec
numerical-answers
electronic-devices
photolithography
+
–
0
votes
0
answers
2973
GATE ECE 2018 | Question: 26
The circuit shown in the figure is used to provide regulated voltage $(5 V)$ across the $1\: k\Omega$ resistor. Assume that the Zener diode has a constant reverse breakdown voltage for a current range, starting from a minimum required Zener current, $I_{Z min}=2\:mA$ to its ... $10\:mW$ $100\:\Omega$ and $40\:mW$ $100\:\Omega$ and $10\:mW$ $186\:\Omega$ and $40\:mW$
The circuit shown in the figure is used to provide regulated voltage $(5 V)$ across the $1\: k\Omega$ resistor. Assume that the Zener diode has a constant reverse breakdo...
gatecse
1.6k
points
111
views
gatecse
asked
Feb 19, 2018
Electronic Devices
gate2018-ec
electronic-devices
zener-diode
+
–
0
votes
0
answers
2974
GATE ECE 2018 | Question: 55
Let $X\left[ k \right ] = k + 1,0\leq k\leq 7$ be $8$-point $\:\text{DFT}\:$ of a sequence $x[n]$. where $X\left [ k \right ]=\sum_{n=0}^{N-1}x \left [ n \right ]e^{-j2\pi nk/N}$. The value (correct to two decimal places) of $\sum_{n=0}^{3}x \left [ 2n \right ]$ is ________.
Let $X\left[ k \right ] = k + 1,0\leq k\leq 7$ be $8$-point $\:\text{DFT}\:$ of a sequence $x[n]$.where $X\left [ k \right ]=\sum_{n=0}^{N-1}x \left [ n \right ]e^{-j2\pi...
gatecse
1.6k
points
111
views
gatecse
asked
Feb 19, 2018
Calculus
gate2018-ec
numerical-answers
calculus
+
–
0
votes
0
answers
2975
GATE ECE 2018 | Question: 27
Let $c\left ( t \right )=A_{c} \cos \left ( 2\pi f_{c}t\right )$ and $m\left ( t \right )=\cos \left ( 2\pi f_{m}t\right )$. It is given that $f_{c}>> 5f_{m}.$ The signal $c\left ( t \right )+m\left ( t \right )$ is applied to ... wave. If it is desired to have the sideband power of the AM wave to be half of the carrier power, then $a/b$ is $0.25$ $0.5$ $1$ $2$
Let $c\left ( t \right )=A_{c} \cos \left ( 2\pi f_{c}t\right )$ and $m\left ( t \right )=\cos \left ( 2\pi f_{m}t\right )$. It is given that $f_{c}> 5f_{m}.$ The signal ...
gatecse
1.6k
points
106
views
gatecse
asked
Feb 19, 2018
Communications
gate2018-ec
communications
amplitude-modulation
+
–
0
votes
0
answers
2976
GATE ECE 2018 | Question: 12
Let $f\left ( x,y \right )=\dfrac{ax^{2}+by^{2}}{xy},$ where $a$ and $b$ are constants. If $\dfrac{\partial f}{\partial x}=\dfrac{\partial f}{\partial y}$ at $x = 1$ and $y = 2$, then the relation between $a$ and $b$ is $a=\dfrac{b}{4}$ $a=\dfrac{b}{2}$ $a=2b$ $a=4b$
Let $f\left ( x,y \right )=\dfrac{ax^{2}+by^{2}}{xy},$ where $a$ and $b$ are constants. If $\dfrac{\partial f}{\partial x}=\dfrac{\partial f}{\partial y}$ at $x = 1$ and ...
gatecse
1.6k
points
105
views
gatecse
asked
Feb 19, 2018
Differential Equations
gate2018-ec
differential-equations
partial-differential-equations
+
–
0
votes
0
answers
2977
GATE ECE 2018 | Question: 35
For the circuit given in the figure, the voltage $V_{c}$ (in volts) across the capacitor is $1.25\sqrt{2}\sin\left ( 5t-0.25\pi \right )$ $1.25\sqrt{2}\sin\left ( 5t-0.125\pi \right )$ $2.5\sqrt{2}\sin\left ( 5t-0.25\pi \right )$ $2.5\sqrt{2}\sin\left ( 5t-0.125\pi \right )$
For the circuit given in the figure, the voltage $V_{c}$ (in volts) across the capacitor is $1.25\sqrt{2}\sin\left ( 5t-0.25\pi \...
gatecse
1.6k
points
103
views
gatecse
asked
Feb 19, 2018
Analog Circuits
gate2018-ec
analog-circuits
+
–
0
votes
0
answers
2978
GATE ECE 2018 | Question: 54
A band limited low-pass signal $x(t)$ of bandwidth $5\:kHz$ is sampled at a sampling rate $f_{s}$.The signal $x(t)$ is reconstructed using the reconstruction filter $H(f)$ whose magnitude response is shown below: The minimum sampling rate $f_{s}(\text{in}\: kHz)$ for perfect reconstruction of $x(t)$ is ________.
A band limited low-pass signal $x(t)$ of bandwidth $5\:kHz$ is sampled at a sampling rate $f_{s}$.The signal $x(t)$ is reconstructed using the reconstruction filter $H(f)...
gatecse
1.6k
points
99
views
gatecse
asked
Feb 19, 2018
Continuous-time Signals
gate2018-ec
numerical-answers
continuous-time-signals
signals-and-systems
sampling-theorem
+
–
0
votes
0
answers
2979
GATE ECE 2018 | Question: 22
Consider matrix $A=\begin{bmatrix} k & 2k\\ k^{2}-k & k^{2} \end{bmatrix}$ and vector $x=\begin{bmatrix} x_{1}\\ x_{2} \end{bmatrix}.$ The number of distinct real value of $k$ for which the equation $Ax=0$ has infinitely many solutions is _________.
Consider matrix $A=\begin{bmatrix} k & 2k\\ k^{2}-k & k^{2} \end{bmatrix}$ and vector $x=\begin{bmatrix} x_{1}\\ x_{2} \end{bmatrix}.$ The number of distinct real value o...
gatecse
1.6k
points
97
views
gatecse
asked
Feb 19, 2018
Linear Algebra
gate2018-ec
numerical-answers
linear-algebra
system-of-equations
+
–
0
votes
0
answers
2980
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
+
–
0
votes
0
answers
2981
GATE ECE 2017 Set 2 | Question: 23
A sinusoidal message signal is converted to a PCM signal using a uniform quantizer. The required signal-to-quantization noise ratio (SQNR) at the output of the quantizer is $40$ dB. The minimum number of bits per sample needed to achieve the desired SQNR is __________
A sinusoidal message signal is converted to a PCM signal using a uniform quantizer. The required signal-to-quantization noise ratio (SQNR) at the output of the quantizer ...
admin
46.4k
points
452
views
admin
asked
Nov 23, 2017
Communications
gate2017-ec-2
digital-communications
numerical-answers
pulse-code-modulation
+
–
0
votes
0
answers
2982
GATE ECE 2017 Set 2 | Question: 49
The signal $x(t)=\sin (14000\pi t)$, where $t$ is in seconds, is sampled at a rate of $9000$ samples per second. The sampled signal is the input to an ideal lowpass filter with frequency response $H(f)$ ... $= 3$, frequencies $= 2,7,11$ Number $= 2$, frequencies $= 2,7$ Number $= 2$, frequencies $= 7,11$
The signal $x(t)=\sin (14000\pi t)$, where $t$ is in seconds, is sampled at a rate of $9000$ samples per second. The sampled signal is the input to an ideal lowpass filte...
admin
46.4k
points
348
views
admin
asked
Nov 25, 2017
Continuous-time Signals
gate2017-ec-2
continuous-time-signals
+
–
1
votes
0
answers
2983
GATE ECE 2017 Set 2 | Question: 45
A programmable logic array (PLA) is shown in the figure. The Boolean function $F$ implemented is $\overline{P} \: \overline{Q}R+ \overline{P}QR+P \overline{Q} \: \overline{R}$ $(\overline{P}+\overline{Q}+R)(\overline{P}+Q+R)(P+\overline{Q}+\overline{R})$ ... $(\overline{P}+\overline{Q}+R)(\overline{P}+Q+R)(P+\overline{Q}+R)$
A programmable logic array (PLA) is shown in the figure. The Boolean function $F$ implemented is$\overline{P} \: \overline{Q}R+ \overline{P}QR+P \overline{Q} \: \overli...
admin
46.4k
points
303
views
admin
asked
Nov 25, 2017
Digital Circuits
gate2017-ec-2
digital-circuits
combinational-circuits
logic-gates
+
–
0
votes
0
answers
2984
GATE ECE 2017 Set 2 | Question: 32
Consider the circuit shown in the figure. The Thevenin equivalent resistance (in Ω) across P-Q is _____________
Consider the circuit shown in the figure. The Thevenin equivalent resistance (in Ω) across P-Q is _____________
admin
46.4k
points
338
views
admin
asked
Nov 25, 2017
Network Solution Methods
gate2017-ec-2
thevenin-theorem
numerical-answers
network-solution-methods
+
–
0
votes
0
answers
2985
GATE ECE 2017 Set 2 | Question: 6
A connection is made consisting of resistance A in series with a parallel combination of resistances $B$ and $C$. Three resistors of value $10 Ω, 5 Ω, 2 Ω$ are provided. Consider all possible permutations of the given resistors ... possible overall resistance. The ratio of maximum to minimum values of the resistances (up to second decimal place) is ___________.
A connection is made consisting of resistance A in series with a parallel combination of resistances $B$ and $C$. Three resistors of value $10 Ω, 5 Ω, 2 Ω$ are prov...
admin
46.4k
points
412
views
admin
asked
Nov 23, 2017
Network Solution Methods
gate2017-ec-2
numerical-answers
network-solution-methods
to-be-tagged
+
–
0
votes
0
answers
2986
GATE ECE 2017 Set 2 | Question: 43
The state diagram of a finite state machine (FSM) designed to detect an overlapping sequence of three bits is shown in the figure. The FSM has an input 'In' and an output 'Out'. The initial state of the FSM is $S_0$. ... is $10101101001101$, starting with the left-most bit, then the number of times 'Out' will be $1$ is ____________
The state diagram of a finite state machine (FSM) designed to detect an overlapping sequence of three bits is shown in the figure. The FSM has an input 'In' and an output...
admin
46.4k
points
313
views
admin
asked
Nov 25, 2017
Number Representations
gate2017-ec-2
fsm
numerical-answers
digital-circuits
+
–
0
votes
0
answers
2987
GATE ECE 2017 Set 2 | Question: 52
Consider a binary memoryless channel characterized by the transition probability diagram shown in the figure. The channel is lossless noiseless useless deterministic
Consider a binary memoryless channel characterized by the transition probability diagram shown in the figure.The channel islosslessnoiselessuselessdeterministic
admin
46.4k
points
295
views
admin
asked
Nov 25, 2017
Communications
gate2017-ec-2
channel-capacity-theorem
communications
+
–
0
votes
0
answers
2988
GATE ECE 2017 Set 2 | Question: 31
The switch in the circuit, shown in the figure, was open for a long time and is closed at $t=0$. The current $i(t)$ (in ampere) at $t=0.5$ seconds is ____________
The switch in the circuit, shown in the figure, was open for a long time and is closed at $t=0$. The current $i(t)$ (in ampere) at $t=0.5$ seconds is ____________
admin
46.4k
points
294
views
admin
asked
Nov 25, 2017
Electronic Devices
gate2017-ec-2
electronic-devices
carrier-transport
+
–
0
votes
0
answers
2989
GATE ECE 2017 Set 2 | Question: 36
A MOS capacitor is fabricated on $p$-type Si (Silicon) where the metal work function is $4.1$ eV and electron affinity of Si is $4.0$ eV. $E_C-E_F=0.9$ eV, where $E_C$ and $E_F$ are the conduction band minimum and the Fermi energy ... capacitor is $-1$ V, then the magnitude of the fixed charge at the oxide-semiconductor interface, in $nC/cm^2$, is ___________.
A MOS capacitor is fabricated on $p$-type Si (Silicon) where the metal work function is $4.1$ eV and electron affinity of Si is $4.0$ eV. $E_C-E_F=0.9$ eV, where $E_C$ an...
admin
46.4k
points
291
views
admin
asked
Nov 25, 2017
Electronic Devices
gate2017-ec-2
mos-capacitor
numerical-answers
electronic-devices
+
–
0
votes
0
answers
2990
GATE ECE 2017 Set 2 | Question: 46
A unity feedback control system is characterized by the open-loop transfer function $G(s)=\frac{2(s+1)}{s^3+ks^2+2s+1}$ The value of $k$ for which the system oscillates at $2$ rad/s is ___________
A unity feedback control system is characterized by the open-loop transfer function $$G(s)=\frac{2(s+1)}{s^3+ks^2+2s+1}$$ The value of $k$ for which the system oscillates...
admin
46.4k
points
287
views
admin
asked
Nov 25, 2017
Control Systems
gate2017-ec-2
numerical-answers
control-systems
feedback-principle
+
–
0
votes
0
answers
2991
GATE ECE 2017 Set 1 | Question: 3
Consider the following statements about the linear dependence of the real valued function $y_{1}=1,y_{2}=x$ and $y_{3}=x^{2}$ over the field of real numbers. $y_{1},y_{2}$ and $y_{3} $ are linearly independent on $-1\leq x\leq 0$ ... among the following is correct? Both I and II are true Both I and III are true Both II and IV are true Both III and IV are true
Consider the following statements about the linear dependence of the real valued function $y_{1}=1,y_{2}=x$ and $y_{3}=x^{2}$ over the field of real numbers.$y_{1},y_{2}$...
admin
46.4k
points
640
views
admin
asked
Nov 17, 2017
Vector Analysis
gate2017-ec-1
vector-analysis
vector-in-planes
+
–
0
votes
0
answers
2992
GATE ECE 2017 Set 2 | Question: 47
A second-order LTI system is described by the following state equations, $ \begin{array}{ll} \frac{d}{dt}x_1(t)-x_2(t)=0 \\ \frac{d}{dt}x_2(t)+2x_1(t)+3x_2(t)=r(t) \end{array}$ where $x_1(t)$ and $x_2(t)$ are the two state variables and $r(t)$ denotes the input. The output $c(t)=x_1(t)$. The system is undamped (oscillatory) underdamped critically damped overdamped
A second-order LTI system is described by the following state equations, $$ \begin{array}{ll} \frac{d}{dt}x_1(t)-x_2(t)=0 \\ \frac{d}{dt}x_2(t)+2x_1(t)+3x_2(t)=r(t) \end{...
admin
46.4k
points
279
views
admin
asked
Nov 25, 2017
Control Systems
gate2017-ec-2
linear-time-invariant-systems
control-systems
+
–
1
votes
0
answers
2993
GATE ECE 2017 Set 2 | Question: 16
Consider the circuit shown in the figure. The Boolean expression $F$ implemented by the circuit is $\overline{X} \overline{Y} \overline{Z} + X Y +\overline{Y} Z $ $\overline{X} Y \overline{Z} + X Z + \overline{Y} Z $ $\overline{X} Y \overline{Z} +XY + \overline{Y} Z $ $\overline{X} \overline{Y} \overline{Z} + XZ+ \overline{Y}Z $
Consider the circuit shown in the figure. The Boolean expression $F$ implemented by the circuit is$\overline{X} \overline{Y} \overline{Z} + X Y +\overline{Y} Z $$\overlin...
admin
46.4k
points
331
views
admin
asked
Nov 23, 2017
Number Representations
gate2017-ec-2
digital-circuits
combinational-circuits
multiplexers
+
–
0
votes
0
answers
2994
GATE ECE 2017 Set 2 | Question: 48
A unity feedback control system is characterized by the open-loop transfer function $G(s)=\frac{10K(s+2)}{s^3+3s^2+10}$ The Nyquist path and the corresponding Nyquist plot of $G(s)$ are shown in the figures below. If $0 < K < 1$, then the number of poles of the closed-loop transfer function that lie in the right-half of the $s$-plane is $0$ $1$ $2$ $3$
A unity feedback control system is characterized by the open-loop transfer function $$G(s)=\frac{10K(s+2)}{s^3+3s^2+10}$$ The Nyquist path and the corresponding Nyquist p...
admin
46.4k
points
268
views
admin
asked
Nov 25, 2017
Control Systems
gate2017-ec-2
control-systems
nyquist
+
–
1
votes
0
answers
2995
GATE ECE 2017 Set 2 | Question: 29
Passengers try repeatedly to get a seat reservation in any train running between two stations until they are successful. If there is $40 \%$ chance of getting reservation in any attempt by a passenger, then the average number of attempts that passengers need to make to get a seat reserved is __________
Passengers try repeatedly to get a seat reservation in any train running between two stations until they are successful. If there is $40 \%$ chance of getting reservation...
admin
46.4k
points
314
views
admin
asked
Nov 23, 2017
Probability and Statistics
gate2017-ec-2
numerical-answers
probability-and-statistics
probability
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0
votes
0
answers
2996
GATE ECE 2017 Set 2 | Question: 38
Two n-channel MOSFETs, T1 and T2, are identical in all respects except that the width of T2 is double that of T1. Both the transistors are biased in the saturation region of operation, but the gate overdrive voltage ($V_{GS}-V_{TH}$ ... $2g_{m1}$ $8I_{D1}$ and $4g_{m1}$ $4I_{D1}$ and $4g_{m1}$ $4I_{D1}$ and $2g_{m1}$
Two n-channel MOSFETs, T1 and T2, are identical in all respects except that the width of T2 is double that of T1. Both the transistors are biased in the saturation region...
admin
46.4k
points
258
views
admin
asked
Nov 25, 2017
Analog Circuits
gate2017-ec-2
mosfet
biasing
analog-circuits
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–
0
votes
0
answers
2997
GATE ECE 2017 Set 2 | Question: 39
An abrupt $pn$ junction (located at $x=0$) is uniformly doped on both $p$ and $n$ sides. The width of the depletion region is $W$ and the electric field variation in the $x$-direction is $E(x)$. Which of the following figures represents the electric field profile near the $pn$ junction?
An abrupt $pn$ junction (located at $x=0$) is uniformly doped on both $p$ and $n$ sides. The width of the depletion region is $W$ and the electric field variation in the ...
admin
46.4k
points
257
views
admin
asked
Nov 25, 2017
Electronic Devices
gate2017-ec-2
p-n-junction
electronic-devices
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–
0
votes
0
answers
2998
GATE ECE 2017 Set 2 | Question: 21
Which one of the following graphs shows the Shannon capacity (channel capacity) in bits of a memoryless binary symmetric channel with crossover probability $p$ ?
Which one of the following graphs shows the Shannon capacity (channel capacity) in bits of a memoryless binary symmetric channel with crossover probability $p$ ?
admin
46.4k
points
338
views
admin
asked
Nov 23, 2017
Communications
gate2017-ec-2
channel-capacity-theorem
communications
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–
0
votes
0
answers
2999
GATE ECE 2017 Set 2 | Question: 55
The permittivity of water at optical frequencies is $1.75 \varepsilon _0$. It is found that an isotropic light source at a distance $d$ under water forms an illuminated circular area of radius $5$ m, as shown in the figure. The critical angle is $\theta _c$. The value of $d$ (in meter) is _______________
The permittivity of water at optical frequencies is $1.75 \varepsilon _0$. It is found that an isotropic light source at a distance $d$ under water forms an illuminated c...
admin
46.4k
points
238
views
admin
asked
Nov 25, 2017
Electromagnetics
gate2017-ec-2
numerical-answers
electromagnetics
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–
0
votes
0
answers
3000
GATE ECE 2017 Set 2 | Question: 54
Standard air-filled rectangular waveguides of dimensions $a=2.29$ cm and $b=1.02 $ cm are designed for radar applications. It is desired that these waveguides operate only in the dominant $TE_{10}$ mode with the operating frequency at least $25 \%$ ... $6.55 \: GHz \leq f \leq 13.1 \: GHz$ $1.64 \: GHz \leq f \leq 10.24 \: GHz$
Standard air-filled rectangular waveguides of dimensions $a=2.29$ cm and $b=1.02 $ cm are designed for radar applications. It is desired that these waveguides operate onl...
admin
46.4k
points
213
views
admin
asked
Nov 25, 2017
Electromagnetics
gate2017-ec-2
waveguides
electromagnetics
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