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2761
GATE ECE 2014 Set 1 | Question: 10
If fixed positive charges are present in the gate oxide of an $n$-channel enhancement type MOSFET, it will lead to a decrease in the threshold voltage channel length modulation an increase in substrate leakage current an increase in accumulation capacitance
If fixed positive charges are present in the gate oxide of an $n$-channel enhancement type MOSFET, it will lead to a decrease in the threshold voltagechannel length modul...
Milicevic3306
16.0k
points
154
views
Milicevic3306
asked
Mar 25, 2018
Analog Circuits
gate2014-ec-1
analog-circuits
mosfet
+
–
0
votes
0
answers
2762
GATE ECE 2014 Set 1 | Question: 11
A good current buffer has low input impedance and low output impedance low input impedance and high output impedance high input impedance and low output impedance high input impedance and high output impedance
A good current buffer haslow input impedance and low output impedancelow input impedance and high output impedancehigh input impedance and low output impedancehigh input ...
Milicevic3306
16.0k
points
124
views
Milicevic3306
asked
Mar 25, 2018
Electromagnetics
gate2014-ec-1
electromagnetics
impedance
+
–
0
votes
0
answers
2763
GATE ECE 2014 Set 1 | Question: 12
In the ac equivalent circuit shown in the figure, if $i_{in}$ is the input current and $R_{F}$ is very large, the type of feedback is voltage-voltage feedback voltage-current feedback current-voltage feedback current-current feedback
In the ac equivalent circuit shown in the figure, if $i_{in}$ is the input current and $R_{F}$ is very large, the type of feedback isvoltage-voltage feedbackvoltage-curre...
Milicevic3306
16.0k
points
168
views
Milicevic3306
asked
Mar 25, 2018
Analog Circuits
gate2014-ec-1
analog-circuits
control-systems
+
–
0
votes
0
answers
2764
GATE ECE 2014 Set 1 | Question: 13
In the low-pass filter shown in the figure, for a cut-off frequency of $5\:kHz,$ the value of $R_{2}\:(\text{in}\:k\Omega)$ is ______.
In the low-pass filter shown in the figure, for a cut-off frequency of $5\:kHz,$ the value of $R_{2}\:(\text{in}\:k\Omega)$ is ______.
Milicevic3306
16.0k
points
138
views
Milicevic3306
asked
Mar 25, 2018
Analog Circuits
gate2014-ec-1
numerical-answers
analog-circuits
low-pass-filters
+
–
0
votes
0
answers
2765
GATE ECE 2014 Set 1 | Question: 14
In the following circuit employing pass transistor logic, all NMOS transistors are identical with a threshold voltage of $1\: V.$ Ignoring the body-effect, the output voltage at $P,Q$ and $R$ are, $4\: V, 3\:V,2\:V$ $5\: V, 5\:V,5\:V$ $4\: V, 4\:V,4\:V$ $5\: V, 4\:V,3\:V$
In the following circuit employing pass transistor logic, all NMOS transistors are identical with a threshold voltage of $1\: V.$ Ignoring the body-effect, the output vol...
Milicevic3306
16.0k
points
208
views
Milicevic3306
asked
Mar 25, 2018
Analog Circuits
gate2014-ec-1
analog-circuits
electronic-devices
nmos-transistor
+
–
0
votes
0
answers
2766
GATE ECE 2014 Set 1 | Question: 16
Five JK flip-flops are cascaded to form the circuit shown in Figure. Clock pulses at a frequency of $1\: MHz$ are applied as shown. The frequency $(\text{in}\:kHz)$ of the waveform at $Q3$ is ________.
Five JK flip-flops are cascaded to form the circuit shown in Figure. Clock pulses at a frequency of $1\: MHz$ are applied as shown. The frequency $(\text{in}\:kHz)$ of th...
Milicevic3306
16.0k
points
247
views
Milicevic3306
asked
Mar 25, 2018
Number Representations
gate2014-ec-1
numerical-answers
flip-flops
digital-circuits
+
–
0
votes
0
answers
2767
GATE ECE 2014 Set 1 | Question: 18
Consider two real valued signals, $x(t)$ band-limited to $[-500\:Hz,500\:Hz]$ and $y(t)$ band-limited to $[-1\:kHz,1\:kHz].$ For $z(t) = x(t)\cdot y(t),$ the Nyquist sampling frequency (in $kHz$) is _______.
Consider two real valued signals, $x(t)$ band-limited to $[-500\:Hz,500\:Hz]$ and $y(t)$ band-limited to $[-1\:kHz,1\:kHz].$ For $z(t) = x(t)\cdot y(t),$ the Nyquist samp...
Milicevic3306
16.0k
points
122
views
Milicevic3306
asked
Mar 25, 2018
Control Systems
gate2014-ec-1
numerical-answers
nyquist
control-systems
+
–
0
votes
0
answers
2768
GATE ECE 2014 Set 1 | Question: 19
A continuous, linear time-invariant filter has an impulse response $h(t)$ described by $h(t) = \begin{cases}3 & \text{for } 0 \leq t \leq 3 \\ 0 & \text{otherwise} \end{cases}$ When a constant input of value $5$ is applied to this filter, the steady state output is ________.
A continuous, linear time-invariant filter has an impulse response $h(t)$ described by $$h(t) = \begin{cases}3 & \text{for } 0 \leq t \leq 3 \\ 0 & \text{otherwise} \end{...
Milicevic3306
16.0k
points
133
views
Milicevic3306
asked
Mar 25, 2018
Network Solution Methods
gate2014-ec-1
numerical-answers
steady-state
network-solution-methods
+
–
0
votes
0
answers
2769
GATE ECE 2014 Set 1 | Question: 20
The forward path transfer function of a unity negative feedback system is given by $G(s) = \frac{K}{(s+2)(s-1)}$. The value of $K$ which will place both the poles of the closed-loop system at the same location, is _______.
The forward path transfer function of a unity negative feedback system is given by $$G(s) = \frac{K}{(s+2)(s-1)}$$. The value of $K$ which will place both the poles of th...
Milicevic3306
16.0k
points
113
views
Milicevic3306
asked
Mar 25, 2018
Network Solution Methods
gate2014-ec-1
numerical-answers
transfer-function
network-solution-methods
+
–
0
votes
0
answers
2770
GATE ECE 2014 Set 1 | Question: 21
Consider the feedback system shown in the figure. The Nyquist plot of $G(s)$ is also shown. Which one of the following conclusions is correct? $G(s)$ is an all-pass filter $G(s)$ is a strictly proper transfer function $G(s)$ is a stable and minimum-phase transfer function The closed-loop system is unstable for sufficiently large and positive $k$
Consider the feedback system shown in the figure. The Nyquist plot of $G(s)$ is also shown. Which one of the following conclusions is correct?$G(s)$ is an all-pass filter...
Milicevic3306
16.0k
points
151
views
Milicevic3306
asked
Mar 25, 2018
Control Systems
gate2014-ec-1
control-systems
nyquist
+
–
0
votes
0
answers
2771
GATE ECE 2014 Set 1 | Question: 22
In a code-division multiple access $(\text{CDMA})$ system with $N = 8$ chips, the maximum number of users who can be assigned mutually orthogonal signature sequences is ________.
In a code-division multiple access $(\text{CDMA})$ system with $N = 8$ chips, the maximum number of users who can be assigned mutually orthogonal signature sequences is _...
Milicevic3306
16.0k
points
139
views
Milicevic3306
asked
Mar 25, 2018
Communications
gate2014-ec-1
numerical-answers
code-division-multiple-access
communications
+
–
0
votes
0
answers
2772
GATE ECE 2014 Set 1 | Question: 23
The capacity of a Binary Symmetric Channel $\text{(BSC)}$ with cross-over probability $0.5$ is ________.
The capacity of a Binary Symmetric Channel $\text{(BSC)}$ with cross-over probability $0.5$ is ________.
Milicevic3306
16.0k
points
102
views
Milicevic3306
asked
Mar 25, 2018
Others
gate2014-ec-1
numerical-answers
+
–
0
votes
0
answers
2773
GATE ECE 2014 Set 1 | Question: 24
A two-port network has scattering parameters given by $[S] = \begin{bmatrix}s_{11} &s_{12} \\s_{21} &s_{22} \end{bmatrix}.$ If the port-2 of the two-port is short circuited, the $s_{11}$ ... $\dfrac{s_{11} - s_{11}s_{22} + s_{12}s_{21}}{1 - s_{22}}$
A two-port network has scattering parameters given by $[S] = \begin{bmatrix}s_{11} &s_{12} \\s_{21} &s_{22} \end{bmatrix}.$ If the port-2 of the two-port is short circuit...
Milicevic3306
16.0k
points
110
views
Milicevic3306
asked
Mar 25, 2018
Network Solution Methods
gate2014-ec-1
two-port-network
network-solution-methods
+
–
0
votes
0
answers
2774
GATE ECE 2014 Set 1 | Question: 25
The force on a point charge $+q$ kept at a distance $d$ from the surface of an infinite grounded metal plate in a medium of permittivity $\epsilon\:$ is $0$ $\dfrac{q^{2}}{16\pi \epsilon d^{2}}$ away from the plate $\dfrac{q^{2}}{16\pi \epsilon d^{2}}$ towards the plate $\dfrac{q^{2}}{4\pi \epsilon d^{2}}$ towards the plate
The force on a point charge $+q$ kept at a distance $d$ from the surface of an infinite grounded metal plate in a medium of permittivity $\epsilon\:$ is$0$$\dfrac{q^{2}}...
Milicevic3306
16.0k
points
101
views
Milicevic3306
asked
Mar 25, 2018
Others
gate2014-ec-1
+
–
0
votes
0
answers
2775
GATE ECE 2014 Set 1 | Question: 26
The Taylor series expansion of $3\sin x + 2 \cos x$ is $2 + 3x-x^{2} – \frac{x^{3}}{2} + \dots$ $2 – 3x + x^{2} – \frac{x^{3}}{2} + \dots$ $2 + 3x + x^{2} + \frac{x^{3}}{2} + \dots$ $2 – 3x – x^{2} + \frac{x^{3}}{2} + \dots$
The Taylor series expansion of $3\sin x + 2 \cos x$ is$2 + 3x-x^{2} – \frac{x^{3}}{2} + \dots$$2 – 3x + x^{2} – \frac{x^{3}}{2} + \dots$$2 + 3x + x^{2} + \frac...
Milicevic3306
16.0k
points
92
views
Milicevic3306
asked
Mar 25, 2018
Calculus
gate2014-ec-1
calculus
taylor-series
+
–
0
votes
0
answers
2776
GATE ECE 2014 Set 1 | Question: 27
For a function $g(t),$ it is given that $\int_{- \infty}^{ + \infty} g(t)e^{-j\omega t}\:dt = \omega e^{-2\omega^{2}}$ for any real value $\omega.$ If $y(t) = \int_{- \infty}^{t}\:g(\tau)\:d\tau,$ then $\int_{- \infty}^{ + \infty}y(t)dt$ is $0$ $-j$ $-\frac{j}{2}$ $\frac{j}{2}$
For a function $g(t),$ it is given that $\int_{- \infty}^{ + \infty} g(t)e^{-j\omega t}\:dt = \omega e^{-2\omega^{2}}$ for any real value $\omega.$ If $y(t) = \int_{- \in...
Milicevic3306
16.0k
points
89
views
Milicevic3306
asked
Mar 25, 2018
Complex Analysis
gate2014-ec-1
complex-analysis
+
–
0
votes
0
answers
2777
GATE ECE 2014 Set 1 | Question: 28
The volume under the surface $z(x,y) = x + y$ and above the triangle in the $x – y$ plane defined by $\{0 \leq y \leq x \: \text{and} \: 0 \leq x \leq 12\}$ is _______.
The volume under the surface $z(x,y) = x + y$ and above the triangle in the $x – y$ plane defined by $\{0 \leq y \leq x \: \text{and} \: 0 \leq x \leq 12\}$ is _______....
Milicevic3306
16.0k
points
116
views
Milicevic3306
asked
Mar 25, 2018
Vector Analysis
gate2014-ec-1
numerical-answers
vector-analysis
+
–
0
votes
0
answers
2778
GATE ECE 2014 Set 1 | Question: 29
Consider the matrix ... $\alpha$ is a non-negative real number. The value of $\alpha$ for which $\text{det(P)} = 0$ is _______.
Consider the matrix $$J_{6} = \begin{bmatrix} 0&0 &0 &0 &0 &1 \\ 0& 0& 0& 0& 1&0 \\ 0& 0& 0& 1& 0&0 \\ 0&0 & 1& 0&0 &0 \\0 &1 &0 &0 &0 &0 \\1 &0 &0 &0 & 0& 0\end{bmatrix}...
Milicevic3306
16.0k
points
231
views
Milicevic3306
asked
Mar 25, 2018
Linear Algebra
gate2014-ec-1
numerical-answers
linear-algebra
matrices
determinant
+
–
0
votes
0
answers
2779
GATE ECE 2014 Set 1 | Question: 30
A $Y$-network has resistances of $10\Omega$ each in two of its arms, while the third arm has a resistance of $11\Omega.$ In the equivalent $\Delta$ – network, the lowest value (in $\Omega)$ among the three resistances is ______.
A $Y$-network has resistances of $10\Omega$ each in two of its arms, while the third arm has a resistance of $11\Omega.$ In the equivalent $\Delta$ – network, the lowe...
Milicevic3306
16.0k
points
111
views
Milicevic3306
asked
Mar 25, 2018
Network Solution Methods
gate2014-ec-1
numerical-answers
network-solution-methods
+
–
0
votes
0
answers
2780
GATE ECE 2014 Set 1 | Question: 31
A $230\: V$ rms source supplies power to two loads connected in parallel. The first load draws $10 \: kW$ at $0.8$ leading power factor and the second one draws $10\: kVA$ at $0.8$ lagging power factor. The complex power delivered by the source is $(18 + j\:1.5)\:kVA$ $(18 – j\:1.5)\:kVA$ ‘$(20 + j\:1.5)\:kVA$ $(20 – j\:1.5)\:kVA$
A $230\: V$ rms source supplies power to two loads connected in parallel. The first load draws $10 \: kW$ at $0.8$ leading power factor and the second one draws $10\: kVA...
Milicevic3306
16.0k
points
150
views
Milicevic3306
asked
Mar 25, 2018
Continuous-time Signals
gate2014-ec-1
continuous-time-signals
maximum-power-transfer
+
–
0
votes
0
answers
2781
GATE ECE 2014 Set 1 | Question: 32
A periodic variable $x$ is shown in the figure as a function of time. The root-mean-square (rms) value of $x$ is _______.
A periodic variable $x$ is shown in the figure as a function of time. The root-mean-square (rms) value of $x$ is _______.
Milicevic3306
16.0k
points
96
views
Milicevic3306
asked
Mar 25, 2018
Analog Circuits
gate2014-ec-1
numerical-answers
analog-circuits
rms
+
–
0
votes
0
answers
2782
GATE ECE 2014 Set 1 | Question: 33
In the circuit shown in the figure, the value of capacitor $C\:(\text{in}\: mF)$ needed to have critically damped response $i(t)$ is ____.
In the circuit shown in the figure, the value of capacitor $C\:(\text{in}\: mF)$ needed to have critically damped response $i(t)$ is ____.
Milicevic3306
16.0k
points
82
views
Milicevic3306
asked
Mar 25, 2018
Electronic Devices
gate2014-ec-1
numerical-answers
electronic-devices
+
–
0
votes
0
answers
2783
GATE ECE 2014 Set 1 | Question: 34
A BJT is biased in forward active mode. Assume $V_{EE} = 0.7\:V, \: kT/q = 25\:mV$ and reverse saturation current $I_{S} = 10^{-13}\:A.$ The transconductance of the BJT (in $mA/V$) is __________
A BJT is biased in forward active mode. Assume $V_{EE} = 0.7\:V, \: kT/q = 25\:mV$ and reverse saturation current $I_{S} = 10^{-13}\:A.$ The transconductance of the BJT ...
Milicevic3306
16.0k
points
144
views
Milicevic3306
asked
Mar 25, 2018
Analog Circuits
gate2014-ec-1
numerical-answers
bipolar-junction-transistor
analog-circuits
+
–
0
votes
0
answers
2784
GATE ECE 2014 Set 1 | Question: 35
The doping concentrations on the $p$-side and $n$-side of a silicon diode are $1\times 10^{16}\:cm^{-3}$ and $1\times 10^{17}\:cm^{-3},$ respectively. A forward bias of $0.3\:V$ is applied to the diode. At $T = 300\:K,$ ... $1\times 10^{16}\:cm^{-3}$ $1\times 10^{17}\:cm^{-3}$ $2.25\times 10^{6}\:cm^{-3}$
The doping concentrations on the $p$-side and $n$-side of a silicon diode are $1\times 10^{16}\:cm^{-3}$ and $1\times 10^{17}\:cm^{-3},$ respectively. A forward bias of $...
Milicevic3306
16.0k
points
131
views
Milicevic3306
asked
Mar 25, 2018
Electronic Devices
gate2014-ec-1
electronic-devices
+
–
0
votes
0
answers
2785
GATE ECE 2014 Set 1 | Question: 36
A depletion type $N$-channel MOSFET is biased in its linear region for use as a voltage controlled resistor. Assume threshold voltage $V_{TH} = -0.5\:V,V_{GS} = 2.0\:V,V_{DS} = 5\:V,\:W/L = 100,C_{ox} = 10^{-8}\:F/cm^{2}$ and $\mu_{n} = 800\:cm^{2}/V$-$s.$ The value of the resistance of the voltage controlled resistor (in $\Omega)$ is _______.
A depletion type $N$-channel MOSFET is biased in its linear region for use as a voltage controlled resistor. Assume threshold voltage $V_{TH} = -0.5\:V,V_{GS} = 2.0\:V,V_...
Milicevic3306
16.0k
points
70
views
Milicevic3306
asked
Mar 25, 2018
Analog Circuits
gate2014-ec-1
numerical-answers
analog-circuits
mosfet
+
–
0
votes
0
answers
2786
GATE ECE 2014 Set 1 | Question: 37
In the voltage regulator circuit shown in the figure, the op-amp is ideal. The BJT has $V_{BE} = 0.7\:V$ and $\beta = 100,$ and the zener voltage is $4.7\:V.$ For a regulated output of $9\:V,$ the value of $R$ (in $\Omega)$ is ______.
In the voltage regulator circuit shown in the figure, the op-amp is ideal. The BJT has $V_{BE} = 0.7\:V$ and $\beta = 100,$ and the zener voltage is $4.7\:V.$ For a regul...
Milicevic3306
16.0k
points
145
views
Milicevic3306
asked
Mar 25, 2018
Analog Circuits
gate2014-ec-1
numerical-answers
analog-circuits
op-amps
bipolar-junction-transistor
+
–
0
votes
0
answers
2787
GATE ECE 2014 Set 1 | Question: 38
In the circuit shown the op-amp has finite input impedance, infinite voltage gain, and zero input offset voltage. The output voltage $V_{out}$ is $-I_{2}(R_{1} + R_{2})$ $I_{2}R_{2}$ $I_{1}R_{2}$ $-I_{1}(R_{1} + R_{2})$
In the circuit shown the op-amp has finite input impedance, infinite voltage gain, and zero input offset voltage. The output voltage $V_{out}$ is $-I_{2}(R_{1} + R_{2})$$...
Milicevic3306
16.0k
points
110
views
Milicevic3306
asked
Mar 25, 2018
Analog Circuits
gate2014-ec-1
op-amps
analog-circuits
electronic-devices
+
–
0
votes
0
answers
2788
GATE ECE 2014 Set 1 | Question: 39
For the amplifier shown in the figure, the BJT parameters are $V_{BE} = 0.7\:V, \beta = 200,$ and thermal voltage $V_{T} = 25\:mV.$ The voltage gain $(v_{0}/v_{i})$ of the amplifier is ______.
For the amplifier shown in the figure, the BJT parameters are $V_{BE} = 0.7\:V, \beta = 200,$ and thermal voltage $V_{T} = 25\:mV.$ The voltage gain $(v_{0}/v_{i})$ of th...
Milicevic3306
16.0k
points
118
views
Milicevic3306
asked
Mar 25, 2018
Analog Circuits
gate2014-ec-1
numerical-answers
analog-circuits
bjt-and-mosfet-amplifiers
+
–
2
votes
0
answers
2789
GATE ECE 2014 Set 1 | Question: 40
The output $F$ in the digital logic circuit shown in the figure is $F = \overline{X}\:Y\:Z + X\:\overline{Y}\:Z$ $F = \overline{X}\:Y\:\overline{Z} + X\:\overline{Y}\:\overline{Z}$ $F = \overline{X}\:\overline{Y}\:Z + X\:Y\:Z$ $F = \overline{X}\:\overline{Y}\:\overline{Z} + X\:Y\:Z$
The output $F$ in the digital logic circuit shown in the figure is$F = \overline{X}\:Y\:Z + X\:\overline{Y}\:Z$$F = \overline{X}\:Y\:\overline{Z} + X\:\overline{Y}\:\over...
Milicevic3306
16.0k
points
154
views
Milicevic3306
asked
Mar 25, 2018
Combinational Circuits
gate2014-ec-1
digital-circuits
combinational-circuits
logic-gates
+
–
0
votes
0
answers
2790
GATE ECE 2014 Set 1 | Question: 43
Let $x[n] = \bigg( – \dfrac{1}{9}\bigg)^{n}u(n) \:– \bigg( – \dfrac{1}{3}\bigg)^{n}u(-n-1).$ The Region of Convergence (ROC) of the $z$-transform of $x[n]$ is $\mid z \mid > \frac{1}{9} \\$ is $\mid z \mid < \frac{1}{3} \\$ is $\frac{1}{3}>\mid z \mid > \frac{1}{9} \\$ does not exist
Let $x[n] = \bigg( – \dfrac{1}{9}\bigg)^{n}u(n) \:– \bigg( – \dfrac{1}{3}\bigg)^{n}u(-n-1).$ The Region of Convergence (ROC) of the $z$-transform of $x[n]$is $\mid ...
Milicevic3306
16.0k
points
120
views
Milicevic3306
asked
Mar 25, 2018
Numerical Methods
gate2014-ec-1
convergence-criteria
numerical-methods
+
–
0
votes
0
answers
2791
GATE ECE 2014 Set 1 | Question: 44
Consider a discrete time periodic signal $x[n] = \sin(\frac{\pi n}{s}).$ Let $a_{k}$ be the complex Fourier series coefficients of $x[n].$ The coefficients $\{a_{k}\}$ are non-zero when $k = Bm\: \pm 1,$ where $m$ is any integer. The value of $B$ is ______.
Consider a discrete time periodic signal $x[n] = \sin(\frac{\pi n}{s}).$ Let $a_{k}$ be the complex Fourier series coefficients of $x[n].$ The coefficients $\{a_{k}\}$ ar...
Milicevic3306
16.0k
points
89
views
Milicevic3306
asked
Mar 25, 2018
Continuous-time Signals
gate2014-ec-1
numerical-answers
discrete-time-signals
continuous-time-signals
+
–
0
votes
0
answers
2792
GATE ECE 2014 Set 1 | Question: 45
A system is described by the following differential equation, where $u(t)$ is the input to the system and $y(t)$ is the output of the system. $y(t) + 5y(t) = u(t)$ When $y(0) = 1$ and $u(t)$ is a unit step function, $y(t)$ is $0.2 + 0.8e^{-5t}$ $0.2 - 0.2e^{-5t}$ $0.8 + 0.2e^{-5t}$ $0.8 - 0.8e^{-5t}$
A system is described by the following differential equation, where $u(t)$ is the input to the system and $y(t)$ is the output of the system.$$y(t) + 5y(t) = u(t)$$When $...
Milicevic3306
16.0k
points
119
views
Milicevic3306
asked
Mar 25, 2018
Differential Equations
gate2014-ec-1
differential-equations
+
–
0
votes
0
answers
2793
GATE ECE 2014 Set 1 | Question: 46
Consider the state space model of a system, as given below ... The system is controllable and observable uncontrollable and observable uncontrollable and unobservable controllable and unobservable
Consider the state space model of a system, as given below$\begin{bmatrix} x_{1}\\x_{2} \\x_{3} \end{bmatrix} \begin{bmatrix} -1 &1 &0 \\ 0& -1 &0 \\ 0 & 0 & -2 \end{bmat...
Milicevic3306
16.0k
points
110
views
Milicevic3306
asked
Mar 25, 2018
Vector Analysis
gate2014-ec-1
vector-analysis
+
–
0
votes
0
answers
2794
GATE ECE 2014 Set 1 | Question: 47
The phase margin in degrees of $G(s) = \dfrac{10}{(s+0.1)(s+1)(s+10)}$ calculated using the asymptotic Bode plot is ______.
The phase margin in degrees of $G(s) = \dfrac{10}{(s+0.1)(s+1)(s+10)}$ calculated using the asymptotic Bode plot is ______.
Milicevic3306
16.0k
points
104
views
Milicevic3306
asked
Mar 25, 2018
Control Systems
gate2014-ec-1
numerical-answers
bode-and-root-locus-plots
control-systems
+
–
0
votes
0
answers
2795
GATE ECE 2014 Set 1 | Question: 48
For the following feedback system $G(s) = \dfrac{1}{(s+1)(s+2)}.$ The $2\%$-settling time of the step response is required to be less than $2$ seconds. Which one of the following compensators $C(s)$ achieves this? $3\bigg(\dfrac{1}{s+5}\bigg) \\$ $5\bigg(\dfrac{0.03}{s} + 1\bigg) \\$ $2(s+4) \\$ $4\bigg(\dfrac{s+8}{s+3}\bigg)$
For the following feedback system $G(s) = \dfrac{1}{(s+1)(s+2)}.$ The $2\%$-settling time of the step response is required to be less than $2$ seconds.Which one of the fo...
Milicevic3306
16.0k
points
110
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Milicevic3306
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Mar 25, 2018
Differential Equations
gate2014-ec-1
differential-equations
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0
votes
0
answers
2796
GATE ECE 2014 Set 1 | Question: 49
Let $X$ be a real-valued random variable with $E[X]$ and $E[X^{2}]$ denoting the mean values of $X$ and $X^{2},$ respectively. The relation which always holds true is $(E[X])^{2}>E[X^{2}]$ $E[X^{2}]\geq (E[X])^{2}$ $E[X^{2}] = (E[X])^{2}$ $E[X^{2}] > (E[X])^{2}$
Let $X$ be a real-valued random variable with $E[X]$ and $E[X^{2}]$ denoting the mean values of $X$ and $X^{2},$ respectively. The relation which always holds true is$(E[...
Milicevic3306
16.0k
points
82
views
Milicevic3306
asked
Mar 25, 2018
Probability and Statistics
gate2014-ec-1
probability-and-statistics
probability
random-variable
expectation
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–
0
votes
0
answers
2797
GATE ECE 2014 Set 1 | Question: 50
Consider a random process $X(t) = \sqrt{2}\sin(2\pi t + \varphi),$ where the random phase $\varphi$ is uniformly distributed in the interval $[0,2\pi].$ The auto-correlation $E[X(t_{1})X(t_{2})]$ is $\cos(2\pi(t_{1} + t_{2}))$ $\sin(2\pi(t_{1} - t_{2}))$ $\sin(2\pi(t_{1} + t_{2}))$ $\cos(2\pi(t_{1} - t_{2}))$
Consider a random process $X(t) = \sqrt{2}\sin(2\pi t + \varphi),$ where the random phase $\varphi$ is uniformly distributed in the interval $[0,2\pi].$ The auto-correlat...
Milicevic3306
16.0k
points
108
views
Milicevic3306
asked
Mar 25, 2018
Probability and Statistics
gate2014-ec-1
probability-and-statistics
statistics
uniform-distribution
correlation-and-regression-analysis
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–
0
votes
0
answers
2798
GATE ECE 2014 Set 1 | Question: 51
Let $Q(\sqrt{\gamma})$ be the BER of a BPSK system over an AWGN channel with two-sided noise power spectral density $N_{0}/2.$ The parameter $\gamma$ is a function of bit energy and noise power spectral density. A system with two independent and identical ... both the channels. If the BER of this system is $Q( b \sqrt{\gamma})$ then the value of $b$ is _____.
Let $Q(\sqrt{\gamma})$ be the BER of a BPSK system over an AWGN channel with two-sided noise power spectral density $N_{0}/2.$ The parameter $\gamma$ is a function of bit...
Milicevic3306
16.0k
points
148
views
Milicevic3306
asked
Mar 25, 2018
Communications
gate2014-ec-1
numerical-answers
communications
digital-modulation
basic-electrical-rhythm
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–
0
votes
0
answers
2799
GATE ECE 2014 Set 1 | Question: 52
A fair coin is tossed repeatedly until a ‘Head’ appears for the first time. Let $L$ be the number of tosses to get this first ‘Head’. The entropy $H(L)$ in bits is _____.
A fair coin is tossed repeatedly until a ‘Head’ appears for the first time. Let $L$ be the number of tosses to get this first ‘Head’. The entropy $H(L)$ in bits i...
Milicevic3306
16.0k
points
112
views
Milicevic3306
asked
Mar 25, 2018
Communications
gate2014-ec-1
numerical-answers
entropy
communications
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–
0
votes
0
answers
2800
GATE ECE 2014 Set 1 | Question: 53
In spherical coordinates, let $\hat{a_{\theta}},\hat{a_{\phi}}$ denote unit vectors along the $\theta,\phi$ directions. $\textbf{E} = \dfrac{100}{r}\sin\theta \cos (\omega t - \beta r)\hat{a_{\theta}}\: V/m$ ... free space. The average power $(W)$ crossing the hemispherical shell located at $r = 1\:km,0\leq \theta \leq \pi/2$ is ______.
In spherical coordinates, let $\hat{a_{\theta}},\hat{a_{\phi}}$ denote unit vectors along the $\theta,\phi$ directions.$$\textbf{E} = \dfrac{100}{r}\sin\theta \cos (\omeg...
Milicevic3306
16.0k
points
128
views
Milicevic3306
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Mar 25, 2018
Vector Analysis
gate2014-ec-1
numerical-answers
vector-analysis
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