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Recent questions tagged gate2016-ec-3
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41
GATE ECE 2016 Set 3 | Question: 30
A signal $2 \cos(\frac{2\pi}{3}t)-\cos(\pi t)$ is the input to an LTI system with the transfer function $H(s)=e^s+e^{-s}.$ If $C_k$ denotes the $k^{th}$ coefficient in the exponential Fourier series of the output signal, then $C_3$ is equal to $0$ $1$ $2$ $3$
A signal $2 \cos(\frac{2\pi}{3}t)-\cos(\pi t)$ is the input to an LTI system with the transfer function$$H(s)=e^s+e^{-s}.$$If $C_k$ denotes the $k^{th}$ coefficient in th...
Milicevic3306
16.0k
points
132
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Milicevic3306
asked
Mar 27, 2018
Continuous-time Signals
gate2016-ec-3
continuous-time-signals
linear-time-invariant-systems
transfer-function
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0
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0
answers
42
GATE ECE 2016 Set 3 | Question: 32
Assume that the circuit in the figure has reached the steady state before time $t = 0$ when the $3\;\Omega$ resistor suddenly burns out, resulting in an open circuit. The current $i(t)$ (in ampere) at $t=0^+$ is _______
Assume that the circuit in the figure has reached the steady state before time $t = 0$ when the $3\;\Omega$ resistor suddenly burns out, resulting in an open circuit. The...
Milicevic3306
16.0k
points
215
views
Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2016-ec-3
numerical-answers
network-solution-methods
steady-state
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0
votes
0
answers
43
GATE ECE 2016 Set 3 | Question: 33
In the figure shown, the current $i$ (in ampere) is _________
In the figure shown, the current $i$ (in ampere) is _________
Milicevic3306
16.0k
points
193
views
Milicevic3306
asked
Mar 27, 2018
Electronic Devices
gate2016-ec-3
numerical-answers
electronic-devices
carrier-transport
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0
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0
answers
44
GATE ECE 2016 Set 3 | Question: 34
The $z$-parameter matrix $\begin{bmatrix} z_{11} &z_{12}\\ z_{21} &z_{22} \end{bmatrix}$ for the two-port network shown is $\begin{bmatrix} 2 &-2\\-2 &2 \end{bmatrix} \\$ $\begin{bmatrix} 2 &2\\2 &2 \end{bmatrix} \\$ $\begin{bmatrix} 9 &-3\\6 &9 \end{bmatrix} \\$ $\begin{bmatrix} 9 &3\\6 &9 \end{bmatrix}$
The $z$-parameter matrix $\begin{bmatrix} z_{11} &z_{12}\\ z_{21} &z_{22} \end{bmatrix}$ for the two-port network shown is $\begin{bmatrix} 2 &-2\\-2 &2 \end{bmatrix} \\$...
Milicevic3306
16.0k
points
140
views
Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2016-ec-3
network-solution-methods
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0
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0
answers
45
GATE ECE 2016 Set 3 | Question: 35
A continuous-time speech signal $x_a(t)$ is sampled at a rate of $8\:kHz$ and the samples are subsequently grouped in blocks, each of size $N$. The DFT of each block is to be computed in real time using the radix-$2$ decimation-in- ... by $1$ and $-1$) and the time required for addition/subtraction is negligible, then the maximum value of $N$ is _________
A continuous-time speech signal $x_a(t)$ is sampled at a rate of $8\:kHz$ and the samples are subsequently grouped in blocks, each of size $N$. The DFT of each block is t...
Milicevic3306
16.0k
points
248
views
Milicevic3306
asked
Mar 27, 2018
Continuous-time Signals
gate2016-ec-3
numerical-answers
continuous-time-signals
discrete-fourier-transform
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–
0
votes
0
answers
46
GATE ECE 2016 Set 3 | Question: 36
The direct form structure of an FIR (finite impulse response) filter is shown in the figure. The filter can be used to approximate a low-pass filter high-pass filter band-pass filter band-stop filter
The direct form structure of an FIR (finite impulse response) filter is shown in the figure.The filter can be used to approximate alow-pass filterhigh-pass filterband-pas...
Milicevic3306
16.0k
points
150
views
Milicevic3306
asked
Mar 27, 2018
Continuous-time Signals
gate2016-ec-3
continuous-time-signals
impulse-response
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–
1
votes
0
answers
47
GATE ECE 2016 Set 3 | Question: 37
The injected excess electron concentration profile in the base region of an $npn$ BJT, biased in the active region, is linear, as shown in the figure. If the area of the emitter-base junction is $0.001\:cm^2 ,\mu_n=800cm^2/(V-s)$ in the ... is _________ (Given: thermal voltage $V_T=26 \: mV$ at room temperature, electronic charge $ q=1.6\times10^{-19}C$)
The injected excess electron concentration profile in the base region of an $npn$ BJT, biased in the active region, is linear, as shown in the figure. If the area of the ...
Milicevic3306
16.0k
points
240
views
Milicevic3306
asked
Mar 27, 2018
Analog Circuits
gate2016-ec-3
numerical-answers
analog-circuits
bipolar-junction-transistor
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–
0
votes
0
answers
48
GATE ECE 2016 Set 3 | Question: 38
Figures I and II show two MOS capacitors of unit area. The capacitor in Figure I has insulator materials $X$ (of thickness $t_1 = 1$ nm and dielectric constant $\varepsilon_1=4$) and $Y$ (of thickness $t_2 = 3$ ... of thickness $t_{Eq}$. If the capacitors are of equal capacitance, then the value of $t_{Eq}$ (in nm) is _________
Figures I and II show two MOS capacitors of unit area. The capacitor in Figure I has insulator materials $X$ (of thickness $t_1 = 1$ nm and dielectric constant $\varepsil...
Milicevic3306
16.0k
points
106
views
Milicevic3306
asked
Mar 27, 2018
Electronic Devices
gate2016-ec-3
numerical-answers
electronic-devices
mos-capacitor
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–
0
votes
0
answers
49
GATE ECE 2016 Set 3 | Question: 39
The $I-V$ characteristics of the zener diodes $D1\:\text{and}\:D2$ are shown in Figure I. These diodes are used in the circuit given in Figure II. If the supply voltage is varied from $0$ to $100$ V,then breakdown occurs in $D1$ only $D2$ only both $D1$ and $D2$ none of $D1$ and $D2$
The $I-V$ characteristics of the zener diodes $D1\:\text{and}\:D2$ are shown in Figure I. These diodes are used in the circuit given in Figure II. If the supply voltage i...
Milicevic3306
16.0k
points
105
views
Milicevic3306
asked
Mar 27, 2018
Electronic Devices
gate2016-ec-3
electronic-devices
zener-diode
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–
0
votes
0
answers
50
GATE ECE 2016 Set 3 | Question: 40
For the circuit shown in the figure, $R_1=R_2=R_3=1\;\Omega,\;L=1\:\mu H$ and $C=1\:\mu F$. If the input $V_{in}=\cos(10^6t)$, then the overall voltage gain $(V_{out}/V_{in})$ of the circuit is _________
For the circuit shown in the figure, $R_1=R_2=R_3=1\;\Omega,\;L=1\:\mu H$ and $C=1\:\mu F$. If the input $V_{in}=\cos(10^6t)$, then the overall voltage gain $(V_{out}/V_{...
Milicevic3306
16.0k
points
82
views
Milicevic3306
asked
Mar 27, 2018
Electronic Devices
gate2016-ec-3
numerical-answers
electronic-devices
+
–
0
votes
0
answers
51
GATE ECE 2016 Set 3 | Question: 41
In the circuit shown in the figure , the channel length modulation of all transistors is non-zero $(\lambda\neq0)$. Also, all transistors operate in saturation and have negligible body effect .The ac small signal voltage gain ($V_o/V_{in}$ ... $-g_{m1}(r_{o1}\mid\mid \left (\frac{1}{gm3}\mid\mid r_{o3})\mid\mid r_{o2} \right )$
In the circuit shown in the figure , the channel length modulation of all transistors is non-zero $(\lambda\neq0)$. Also, all transistors operate in saturation and have n...
Milicevic3306
16.0k
points
225
views
Milicevic3306
asked
Mar 27, 2018
Analog Circuits
gate2016-ec-3
analog-circuits
transistor
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–
1
votes
0
answers
52
GATE ECE 2016 Set 3 | Question: 42
In the circuit shown in the figure, transistor $M1$ is in saturation and has transconductance $g_m = 0.01$ siemens. Ignoring internal parasitic capacitances and assuming the channel length modulation $\lambda$ to be zero,the small signal input pole frequency (in $kHz$) is _________
In the circuit shown in the figure, transistor $M1$ is in saturation and has transconductance $g_m = 0.01$ siemens. Ignoring internal parasitic capacitances and assuming ...
Milicevic3306
16.0k
points
148
views
Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2016-ec-3
numerical-answers
network-solution-methods
+
–
2
votes
1
answer
53
GATE ECE 2016 Set 3 | Question: 43
Following is the K-map of a Boolean function of five variables $P,Q,R,S$ and $X$ ... $\overline{Q}\:S\:X+\;Q\:\overline{S}\:\overline{X}$ $\overline{Q}\:S+\;Q\overline{S}$
Following is the K-map of a Boolean function of five variables $P,Q,R,S$ and $X$. The minimum sum-of-product (SOP) expression for the function is$\overline{P}\:\overline{...
Milicevic3306
16.0k
points
390
views
Milicevic3306
asked
Mar 27, 2018
Digital Circuits
gate2016-ec-3
digital-circuits
k-map
min-sum-of-products-form
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–
0
votes
0
answers
54
GATE ECE 2016 Set 3 | Question: 44
For the circuit shown in the figure, the delays of NOR gates, multiplexers and inverters are $2$ ns, $1.5$ ns and $1$ ns, respectively. If all the inputs $P, Q, R, S$ and $T$ are applied at the same time instant, the maximum propagation delay (in ns) of the circuit is _________
For the circuit shown in the figure, the delays of NOR gates, multiplexers and inverters are $2$ ns, $1.5$ ns and $1$ ns, respectively. If all the inputs $P, Q, R, S$ and...
Milicevic3306
16.0k
points
225
views
Milicevic3306
asked
Mar 27, 2018
Number Representations
gate2016-ec-3
numerical-answers
digital-circuits
combinational-circuits
logic-gates
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–
0
votes
0
answers
55
GATE ECE 2016 Set 3 | Question: 45
For the circuit shown in the figure, the delay of the bubbled NAND gate is $2\:ns$ and that of the counter is assumed to be zero. If the clock (Clk) frequency is $1\:GHz$, then the counter behaves as a $\text{mod}-5\:\text{counter}$ $\text{mod}-6\:\text{counter}$ $\text{mod}-7\:\text{counter}$ $\text{mod}-8\:\text{counter}$
For the circuit shown in the figure, the delay of the bubbled NAND gate is $2\:ns$ and that of the counter is assumed to be zero. If the clock (Clk) frequency is $1\:GHz$...
Milicevic3306
16.0k
points
216
views
Milicevic3306
asked
Mar 27, 2018
Number Representations
gate2016-ec-3
digital-circuits
sequential-circuit
counters
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–
0
votes
0
answers
56
GATE ECE 2016 Set 3 | Question: 46
The first two rows in the Routh table for the characteristic equation of a certain closed-loop control system are given as $\begin{array}{|c|cc} \hline s^3 & 1 &(2K+3) \\ s^2 & 2K & 4 \end{array}$ The range of $K$ for which the system is stable is $-2.0<K<0.5$ $0<K<0.5$ $0<K<\infty$ $0.5<K<\infty$
The first two rows in the Routh table for the characteristic equation of a certain closed-loop control system are given as$$\begin{array}{|c|cc} \hline s^3 & 1 &(2K+3) \\...
Milicevic3306
16.0k
points
130
views
Milicevic3306
asked
Mar 27, 2018
Control Systems
gate2016-ec-3
control-systems
routh-hurwitz
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–
0
votes
0
answers
57
GATE ECE 2016 Set 3 | Question: 47
A second-order linear time-invariant system is described by the following state equations $\frac{d}{dt}x_1(t)+2x_1(t)=3u(t)$ $\frac{d}{dt}x_2(t)+x_2(t)=u(t)$ where $x_1(t)$ and $x_2(t)$ are the two ... , then the system is controllable but not observable observable but not controllable both controllable and observable neither controllable nor observable
A second-order linear time-invariant system is described by the following state equations$$\frac{d}{dt}x_1(t)+2x_1(t)=3u(t)$$$$\frac{d}{dt}x_2(t)+x_2(t)=u(t)$$where $x_1(...
Milicevic3306
16.0k
points
170
views
Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2016-ec-3
network-solution-methods
state-equations
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–
0
votes
0
answers
58
GATE ECE 2016 Set 3 | Question: 48
The forward-path transfer function and the feedback-path transfer function of a single loop negative feedback control system are given as $G(s)=\frac{K(s+2)}{s^2+2s+2}\;\text{and}\hspace{0.3cm}H(s)=1,$ respectively. If the variable parameter $K$ is real positive, then the location of the breakaway point on the root locus diagram of the system is _________
The forward-path transfer function and the feedback-path transfer function of a single loop negative feedback control system are given as$$G(s)=\frac{K(s+2)}{s^2+2s+2}\;\...
Milicevic3306
16.0k
points
139
views
Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2016-ec-3
numerical-answers
network-solution-methods
transfer-function
bode-and-root-locus-plots
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–
0
votes
0
answers
59
GATE ECE 2016 Set 3 | Question: 49
A wide sense stationary random process $X(t)$ passes through the LTI system shown in the figure. If the autocorrelation function of $X(t)$ is $R_X(\tau)$, then the autocorrelation function $R_Y(\tau)$ of the output $Y(t)$ ... $2R_X(\tau)-R_X(\tau-T_0)-R_X(\tau+T_0)$ $2R_X(\tau)+2R_X(\tau- 2T_0)$ $2R_X(\tau)-2R_X(\tau- 2T_0)$
A wide sense stationary random process $X(t)$ passes through the LTI system shown in the figure. If the autocorrelation function of $X(t)$ is $R_X(\tau)$, then the autoco...
Milicevic3306
16.0k
points
139
views
Milicevic3306
asked
Mar 27, 2018
Continuous-time Signals
gate2016-ec-3
continuous-time-signals
signals-and-systems
linear-time-invariant-systems
+
–
0
votes
0
answers
60
GATE ECE 2016 Set 3 | Question: 50
A voice-grade AWGN (additive white Gaussian noise) telephone channel has a bandwidth of $4.0\:kHz$ and two-sided noise power spectral density ${\large\frac{\eta}{2}}=2.5\times10^{-5}Watt\:per\:Hz$. If information at the rate ... transmitted over this channel with arbitrarily small bit error rate, then the minimum bit-energy $E_b$ (in mJ/bit) necessary is _______
A voice-grade AWGN (additive white Gaussian noise) telephone channel has a bandwidth of $4.0\:kHz$ and two-sided noise power spectral density ${\large\frac{\eta}{2}}=2.5\...
Milicevic3306
16.0k
points
123
views
Milicevic3306
asked
Mar 27, 2018
Vector Analysis
gate2016-ec-3
numerical-answers
vector-analysis
gauss's-theorem
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–
0
votes
0
answers
61
GATE ECE 2016 Set 3 | Question: 51
The bit error probability of a memoryless binary symmetric channel is $10^{-5}$. If $10^5$ bits are sent over this channel, then the probability that not more than one bit will be in error is _______
The bit error probability of a memoryless binary symmetric channel is $10^{-5}$. If $10^5$ bits are sent over this channel, then the probability that not more than one bi...
Milicevic3306
16.0k
points
209
views
Milicevic3306
asked
Mar 27, 2018
Probability and Statistics
gate2016-ec-3
numerical-answers
probability-and-statistics
probability
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–
0
votes
0
answers
62
GATE ECE 2016 Set 3 | Question: 52
Consider an air-filled rectangular waveguide with dimensions $a=2.286\:cm$ and $b=1.016\:cm$. At $10 \:GHz$ operating frequency, the value of the propagation constant (per meter) of the corresponding propagation mode is _______
Consider an air-filled rectangular waveguide with dimensions $a=2.286\:cm$ and $b=1.016\:cm$. At $10 \:GHz$ operating frequency, the value of the propagation constant (pe...
Milicevic3306
16.0k
points
92
views
Milicevic3306
asked
Mar 27, 2018
Electromagnetics
gate2016-ec-3
numerical-answers
electromagnetics
waveguides
+
–
0
votes
0
answers
63
GATE ECE 2016 Set 3 | Question: 53
Consider an air-filled rectangular waveguide with dimensions $a=2.286\:cm$ and $b=1.016\:cm$. The increasing order of the cut-off frequencies for different modes is $TE_{01}<TE_{10}<TE_{11}<TE_{20}$ $TE_{20}<TE_{11}<TE_{10}<TE_{01}$ $TE_{10}<TE_{20}<TE_{01}<TE_{11}$ $TE_{10}<TE_{11}<TE_{20}<TE_{01}$
Consider an air-filled rectangular waveguide with dimensions $a=2.286\:cm$ and $b=1.016\:cm$. The increasing order of the cut-off frequencies for different modes is $TE_{...
Milicevic3306
16.0k
points
62
views
Milicevic3306
asked
Mar 27, 2018
Electromagnetics
gate2016-ec-3
electromagnetics
waveguides
+
–
0
votes
0
answers
64
GATE ECE 2016 Set 3 | Question: 54
A radar operating at $5\:GHz$ uses a common antenna for transmission and reception. The antenna has a gain of $150$ and is aligned for maximum directional radiation and reception to a target $1\:km$ away having radar cross-section of $3\:m^2$. If it transmits $100\:kW$, then the received power (in $\mu W)$ is _______
A radar operating at $5\:GHz$ uses a common antenna for transmission and reception. The antenna has a gain of $150$ and is aligned for maximum directional radiation and r...
Milicevic3306
16.0k
points
83
views
Milicevic3306
asked
Mar 27, 2018
Electromagnetics
gate2016-ec-3
numerical-answers
electromagnetics
antennas
+
–
0
votes
0
answers
65
GATE ECE 2016 Set 3 | Question: 55
Consider the charge profile shown in the figure. The resultant potential distribution is best described by
Consider the charge profile shown in the figure. The resultant potential distribution is best described by
Milicevic3306
16.0k
points
141
views
Milicevic3306
asked
Mar 27, 2018
Electromagnetics
gate2016-ec-3
electromagnetics
+
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