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Recent questions tagged gate2015-ec-3
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41
GATE ECE 2015 Set 3 | Question: 30
In the circuit shown, the current $I$ flowing through the $50\;\Omega$ resistor will be zero if the value of capacitor $C (\text{in}\: \mu F)$ is ______.
In the circuit shown, the current $I$ flowing through the $50\;\Omega$ resistor will be zero if the value of capacitor $C (\text{in}\: \mu F)$ is ______.
Milicevic3306
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83
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Mar 27, 2018
Electronic Devices
gate2015-ec-3
numerical-answers
electronic-devices
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0
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42
GATE ECE 2015 Set 3 | Question: 32
A network is described by the state model as $\dot{x_{1}}=2x_{1}-x_{2}+3u \\ \dot{x_{2}}=-4x_{2}-u \\ y=3x_{1}-2x_{2}$ The transfer function $H(s)\left(=\dfrac{Y(s)}{U(s)}\right)$ is $\dfrac{11s+35}{(s-2)(s+4)} \\$ $\dfrac{11s-35}{(s-2)(s+4)} \\$ $\dfrac{11s+38}{(s-2)(s+4)} \\$ $\dfrac{11s-38}{(s-2)(s+4)}$
A network is described by the state model as $$\dot{x_{1}}=2x_{1}-x_{2}+3u \\ \dot{x_{2}}=-4x_{2}-u \\ y=3x_{1}-2x_{2}$$ The transfer function $H(s)\left(=\dfrac{Y(s)}{...
Milicevic3306
16.0k
points
95
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Mar 27, 2018
Network Solution Methods
gate2015-ec-3
transfer-function
network-solution-methods
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–
0
votes
0
answers
43
GATE ECE 2015 Set 3 | Question: 33
The electric field profile in the depletion region of a p-n junction in equilibrium is shown in the figure. Which one of the following statements is NOT TRUE? The left side of the junction is n-type and the right side is p-type Both the n-type and p-type depletion ... $10^{16}\: cm^{-3}$
The electric field profile in the depletion region of a p-n junction in equilibrium is shown in the figure. Which one of the following statements is NOT TRUE?The left sid...
Milicevic3306
16.0k
points
117
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Milicevic3306
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Mar 27, 2018
Electronic Devices
gate2015-ec-3
electronic-devices
p-n-junction
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–
1
votes
0
answers
44
GATE ECE 2015 Set 3 | Question: 34
The current in an enhancement mode NMOS transistor biased in saturation mode was measured to be $1\: mA$ at a drain-source voltage of $5\: V.$ When the drain-source voltage was increased to $6\: V$ while keeping gate-source voltage same, the ... the applied drain-source voltage. The channel length modulation parameter $\lambda\:(\text{in}\: V^{-1})$ is _______.
The current in an enhancement mode NMOS transistor biased in saturation mode was measured to be $1\: mA$ at a drain-source voltage of $5\: V.$ When the drain-source volta...
Milicevic3306
16.0k
points
118
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Milicevic3306
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Mar 27, 2018
Analog Circuits
gate2015-ec-3
analog-circuits
nmos-transistor
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–
0
votes
0
answers
45
GATE ECE 2015 Set 3 | Question: 35
An npn BJT having reverse saturation current $I_{S} = 10^{-15}\:A$ is biased in the forward active region with $V_{BE} = 700\: mV.$ The thermal voltage $(V_{T})$ is $25\: mV$ and the current gain $(β)$ may vary from $50$ to $150$ due to manufacturing variations. The maximum emitter current $(\text{in}\: \mu A)$ is ________.
An npn BJT having reverse saturation current $I_{S} = 10^{-15}\:A$ is biased in the forward active region with $V_{BE} = 700\: mV.$ The thermal voltage $(V_{T})$ is $25\:...
Milicevic3306
16.0k
points
193
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Milicevic3306
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Mar 27, 2018
Analog Circuits
gate2015-ec-3
numerical-answers
bipolar-junction-transistor
analog-circuits
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–
0
votes
0
answers
46
GATE ECE 2015 Set 3 | Question: 36
A three bit pseudo random number generator is shown. Initially the value of output $Y\equiv Y_{2} Y_{1} Y_{0}$ is set to $111.$ The value of output $Y$ after three clock cycles is $000$ $001$ $010$ $100$
A three bit pseudo random number generator is shown. Initially the value of output $Y\equiv Y_{2} Y_{1} Y_{0}$ is set to $111.$ The value of output $Y$ after three clock ...
Milicevic3306
16.0k
points
307
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Milicevic3306
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Mar 27, 2018
Communications
gate2015-ec-3
communications
pseudo-random-number
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–
2
votes
1
answer
47
GATE ECE 2015 Set 3 | Question: 37
A universal logic gate can implement any Boolean function by connecting sufficient number of them appropriately. Three gates are shown. Which one of the following statements is TRUE? Gate $1$ is a universal gate Gate $2$ is a universal gate Gate $3$ is a universal gate None of the gates shown is a universal gate
A universal logic gate can implement any Boolean function by connecting sufficient number of them appropriately. Three gates are shown.Which one of the following statemen...
Milicevic3306
16.0k
points
519
views
Milicevic3306
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Mar 27, 2018
Number Representations
gate2015-ec-3
digital-circuits
combinational-circuits
logic-gates
functional-completeness
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0
votes
0
answers
48
GATE ECE 2015 Set 3 | Question: 38
An SR latch is implemented using TTL gates as shown in the figure. The set and reset pulse inputs are provided using the push-button switches. It is observed that the circuit fails to work as desired. The SR latch can be made functional by changing NOR gates to NAND gates inverters to buffers NOR gates to NAND gates and inverters to buffers $5\: V$ to ground
An SR latch is implemented using TTL gates as shown in the figure. The set and reset pulse inputs are provided using the push-button switches. It is observed that the cir...
Milicevic3306
16.0k
points
189
views
Milicevic3306
asked
Mar 27, 2018
Number Representations
gate2015-ec-3
digital-circuits
sequential-circuit
flip-flops
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–
0
votes
0
answers
49
GATE ECE 2015 Set 3 | Question: 39
In the circuit shown, assume that the opamp is ideal. If the gain $(v_{0} / v_{in})$ is $–12,$ the value of $R\: (\text{in}\: k\Omega)$ is _____.
In the circuit shown, assume that the opamp is ideal. If the gain $(v_{0} / v_{in})$ is $–12,$ the value of $R\: (\text{in}\: k\Omega)$ is _____.
Milicevic3306
16.0k
points
87
views
Milicevic3306
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Mar 27, 2018
Analog Circuits
gate2015-ec-3
analog-circuits
op-amps
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–
1
votes
0
answers
50
GATE ECE 2015 Set 3 | Question: 40
In the circuit shown, both the enhancement mode NMOS transistors have the following characteristics:$k_{n} ݇ = \mu _{n}C_{ox}(W/L) = 1\:mA/V^{2};V_{TN} = 1V.$ Assume that the channel length modulation parameter $\lambda$ is zero ... supply voltage ܸ$V_{DD}$ (in volts) needed to ensure that transistor $M_{1}$ operates in saturation mode of operation is _______.
In the circuit shown, both the enhancement mode NMOS transistors have the following characteristics:$k_{n} ݇ = \mu _{n}C_{ox}(W/L) = 1\:mA/V^{2};V_{TN} = 1V.$ Assume tha...
Milicevic3306
16.0k
points
104
views
Milicevic3306
asked
Mar 27, 2018
Analog Circuits
gate2015-ec-3
numerical-answers
analog-circuits
nmos-transistor
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–
0
votes
0
answers
51
GATE ECE 2015 Set 3 | Question: 41
In the circuit shown, assume that the diodes $D1$ and $D2$ are ideal. The average value of voltage $V_{ab}\: (\text{in Volts}),$ across terminals $‘a’$ and $‘b’$ is _________.
In the circuit shown, assume that the diodes $D1$ and $D2$ are ideal. The average value of voltage $V_{ab}\: (\text{in Volts}),$ across terminals $‘a’$ and $‘b’$ ...
Milicevic3306
16.0k
points
72
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Milicevic3306
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Mar 27, 2018
Analog Circuits
gate2015-ec-3
numerical-answers
analog-circuits
diodes
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–
0
votes
0
answers
52
GATE ECE 2015 Set 3 | Question: 42
Suppose $x[n]$ is an absolutely summable discrete-time signal. Its $z$-transform is a rational function with two poles and two zeroes. The poles are at $z = \pm 2j.$ Which one of the following statements is TRUE for the signal $x[n]$? It is a finite duration signal It is a causal signal It is a non-causal signal It is a periodic signal.
Suppose $x[n]$ is an absolutely summable discrete-time signal. Its $z$-transform is a rational function with two poles and two zeroes. The poles are at $z = \pm 2j.$ Whic...
Milicevic3306
16.0k
points
167
views
Milicevic3306
asked
Mar 27, 2018
Continuous-time Signals
gate2015-ec-3
continuous-time-signals
signals-and-systems
fourier-transform
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–
0
votes
0
answers
53
GATE ECE 2015 Set 3 | Question: 43
A realization of a stable discrete time system is shown in the figure. If the system is excited by a unit step sequence input $x[n ],$ the response $y[n ]$ is $4\left(-\dfrac{1}{3}\right)^{n}\:u[n]-5\left(-\dfrac{2}{3}\right)^{n}\:u[n]$ ... $5\left(\dfrac{2}{3}\right)^{n}\:u[n]-5\left(\dfrac{1}{3}\right)^{n}\:u[n]$
A realization of a stable discrete time system is shown in the figure. If the system is excited by a unit step sequence input $x[n ],$ the response $y[n ]$ is$4\left(-\df...
Milicevic3306
16.0k
points
135
views
Milicevic3306
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Mar 27, 2018
Continuous-time Signals
gate2015-ec-3
continuous-time-signals
discrete-time-signals
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–
0
votes
0
answers
54
GATE ECE 2015 Set 3 | Question: 44
Let $\widetilde{x}[n] = 1 + \cos\left(\dfrac{\pi n}{8}\right)$ be a periodic signal with period $16.$ Its DFS coefficients are defined by $a_{k} = \displaystyle{}\dfrac{1}{16}\sum_{n=0}^{15}\widetilde{x}[n] \text{exp}\big(-j\dfrac{\pi}{8} kn\big)$ for all $k .$ The value of the coefficient ܽ$a_{31}$ is _______.
Let $\widetilde{x}[n] = 1 + \cos\left(\dfrac{\pi n}{8}\right)$ be a periodic signal with period $16.$ Its DFS coefficients are defined by $a_{k} = \displaystyle{}\dfrac{1...
Milicevic3306
16.0k
points
83
views
Milicevic3306
asked
Mar 27, 2018
Continuous-time Signals
gate2015-ec-3
numerical-answers
continuous-time-signals
signals-and-systems
fourier-transform
periodic-signals
+
–
0
votes
0
answers
55
GATE ECE 2015 Set 3 | Question: 45
Consider a continuous-time signal defined as $x(t)=\left(\dfrac{\sin(\pi t/2)}{(\pi t /2)}\right)\ast \sum _{n=-\infty}^{\infty}\delta(t-10n)$ where $’\ast’$ denotes the convolution operation and $t$ is in seconds. The Nyquist sampling rate $\text{(in samples/sec)}$ for $x(t)$ is _______.
Consider a continuous-time signal defined as$$x(t)=\left(\dfrac{\sin(\pi t/2)}{(\pi t /2)}\right)\ast \sum _{n=-\infty}^{\infty}\delta(t-10n)$$where $’\ast’$ denotes ...
Milicevic3306
16.0k
points
144
views
Milicevic3306
asked
Mar 27, 2018
Continuous-time Signals
gate2015-ec-3
numerical-answers
continuous-time-signals
convolution
nyquist
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–
0
votes
0
answers
56
GATE ECE 2015 Set 3 | Question: 46
The position control of a DC servo-motor is given in the figure. The values of the parameters are $K_{T}=1 \: N-m/A, R_{a}=1\Omega, L_{a} = 0.1H,J=5kg-m^{2},B=1N-m/(rad/sec)$ and $K_{b} = 1V/(rad/sec) .$ The steady-state position response (in radians) due to unit impulse disturbance torque $T_{d}$ is _______.
The position control of a DC servo-motor is given in the figure. The values of the parameters are $K_{T}=1 \: N-m/A, R_{a}=1\Omega, L_{a} = 0.1H,J=5kg-m^{2},B=1N-m/(rad/s...
Milicevic3306
16.0k
points
231
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Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2015-ec-3
numerical-answers
network-solution-methods
steady-state
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–
0
votes
0
answers
57
GATE ECE 2015 Set 3 | Question: 47
For the system shown in the figure, $s=-2.75$ lies on the root locus if $K$ is _______.
For the system shown in the figure, $s=-2.75$ lies on the root locus if $K$ is _______.
Milicevic3306
16.0k
points
114
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Milicevic3306
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Mar 27, 2018
Control Systems
gate2015-ec-3
numerical-answers
bode-and-root-locus-plots
control-systems
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–
0
votes
0
answers
58
GATE ECE 2015 Set 3 | Question: 48
The characteristic equation of an LTI system is given by $F(s) = s^{5} + 2s^{4} + 3s^{3} + 6s^{2} – 4s – 8 = 0.$ The number of roots that lie strictly in the left half $s$-plane is _________.
The characteristic equation of an LTI system is given by $F(s) = s^{5} + 2s^{4} + 3s^{3} + 6s^{2} – 4s – 8 = 0.$ The number of roots that lie strictly in the left hal...
Milicevic3306
16.0k
points
103
views
Milicevic3306
asked
Mar 27, 2018
Continuous-time Signals
gate2015-ec-3
numerical-answers
continuous-time-signals
signals-and-systems
linear-time-invariant-systems
+
–
0
votes
0
answers
59
GATE ECE 2015 Set 3 | Question: 49
Two sequences $x_{1}[n]$ and $x_{2}[n]$ have the same energy. Suppose $x_{1}[n]=\alpha\: 0.5 ^{n}\:u[n],$ where $\alpha$ is a positive real number and $u[n]$is the unit step sequence. Assume ݊$x_{2}[n]= \begin{cases} \sqrt{1.5}& \text{for } n = 0,1 \\ 0 &\text{otherwise.} \end{cases}$ Then the value of $\alpha$ is _________.
Two sequences $x_{1}[n]$ and $x_{2}[n]$ have the same energy. Suppose $x_{1}[n]=\alpha\: 0.5 ^{n}\:u[n],$ where $\alpha$ is a positive real number and $u[n]$is the unit s...
Milicevic3306
16.0k
points
79
views
Milicevic3306
asked
Mar 27, 2018
Digital Circuits
gate2015-ec-3
numerical-answers
digital-circuits
+
–
0
votes
0
answers
60
GATE ECE 2015 Set 3 | Question: 50
The variance of the random variable $X$ with probability density function $f(x)=\dfrac{1}{2}\mid x \mid e^{- \mid x \mid}$ is __________.
The variance of the random variable $X$ with probability density function $f(x)=\dfrac{1}{2}\mid x \mid e^{- \mid x \mid}$ is __________.
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16.0k
points
172
views
Milicevic3306
asked
Mar 27, 2018
Probability and Statistics
gate2015-ec-3
numerical-answers
probability-and-statistics
propability
random-variable
variance
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–
0
votes
0
answers
61
GATE ECE 2015 Set 3 | Question: 51
The complex envelope of the bandpass signal $x(t)=-\sqrt{2}\left(\dfrac{\sin (\pi t/5)}{\pi t/5}\right)\sin (\pi t - \dfrac{\pi}{4}),$ centered about $f=\dfrac{1}{2}\:Hz,$ is $\left(\dfrac{\sin (\pi t/5)}{\pi t/5}\right)e^{j\dfrac{\pi}{4}}$ ... $\sqrt{2} \left(\dfrac{\sin (\pi t/5)}{\pi t/5}\right)e^{-j\dfrac{\pi}{4}}$
The complex envelope of the bandpass signal $x(t)=-\sqrt{2}\left(\dfrac{\sin (\pi t/5)}{\pi t/5}\right)\sin (\pi t – \dfrac{\pi}{4}),$ centered about $f=\dfrac{1}{2}\:H...
Milicevic3306
16.0k
points
87
views
Milicevic3306
asked
Mar 27, 2018
Complex Analysis
gate2015-ec-3
complex-analysis
+
–
0
votes
0
answers
62
GATE ECE 2015 Set 3 | Question: 52
A random binary wave $y(t)$ is given by $y(t) = \sum_{n = -\infty}^{\infty}X_{n}\:p(t-nT-\phi)$ where $p(t)=u(t)-u(t-T),u(t)$ is the unit step function and $\phi$ is an independent random variable with uniform distribution in $[0,T].$ ... $R_{yy}\left(\dfrac{3T}{4}\right) \underset{=}{\Delta} E\left[y(t)y\left(t-\dfrac{3T}{4}\right)\right]$ equals _________.
A random binary wave $y(t)$ is given by$$y(t) = \sum_{n = -\infty}^{\infty}X_{n}\:p(t-nT-\phi)$$where $p(t)=u(t)-u(t-T),u(t)$ is the unit step function and $\phi$ is an i...
Milicevic3306
16.0k
points
133
views
Milicevic3306
asked
Mar 27, 2018
Probability and Statistics
gate2015-ec-3
numerical-answers
probability-and-statistics
probability
random-variable
uniform-distribution
+
–
0
votes
0
answers
63
GATE ECE 2015 Set 3 | Question: 53
Consider the $3\:m$ long lossless air-filled transmission line shown in the figure. It has a characteristic impedance of $120\pi\: \Omega,$ is terminated by a short circuit, and is excited with a frequency of $37.5\: MHz.$ What is the nature of the input impedance $(Z_{in})?$ Open Short Inductive Capacitive
Consider the $3\:m$ long lossless air-filled transmission line shown in the figure. It has a characteristic impedance of $120\pi\: \Omega,$ is terminated by a short circu...
Milicevic3306
16.0k
points
101
views
Milicevic3306
asked
Mar 27, 2018
Electromagnetics
gate2015-ec-3
electromagnetics
impedance
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–
0
votes
0
answers
64
GATE ECE 2015 Set 3 | Question: 54
A $200\: m$ long transmission line having parameters shown in the figure is terminated into a load ܴ$R_{L}$. The line is connected to a $400\: V$ source having source resistance $R_{S}$ through a switch, which is closed at $t = 0.$ The transient response of the ... line $(z = 0)$ is also drawn in the figure. The value of $R_{L}\: \text{(in}\: \Omega)$ is ________.
A $200\: m$ long transmission line having parameters shown in the figure is terminated into a load ܴ$R_{L}$. The line is connected to a $400\: V$ source having source re...
Milicevic3306
16.0k
points
142
views
Milicevic3306
asked
Mar 27, 2018
Control Systems
gate2015-ec-3
numerical-answers
control-systems
transient-response
+
–
0
votes
0
answers
65
GATE ECE 2015 Set 3 | Question: 55
A coaxial capacitor of inner radius $1\: mm$ and outer radius $5\: mm$ has a capacitance per unit length of $172\: pF/m.$ If the ratio of outer radius to inner radius is doubled, the capacitance per unit length $\text{(in}\: pF/m)$ is ________.
A coaxial capacitor of inner radius $1\: mm$ and outer radius $5\: mm$ has a capacitance per unit length of $172\: pF/m.$ If the ratio of outer radius to inner radius is ...
Milicevic3306
16.0k
points
71
views
Milicevic3306
asked
Mar 27, 2018
Electronic Devices
gate2015-ec-3
numerical-answers
electronic-devices
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