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Recent questions tagged gate2016-ec-1
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41
GATE ECE 2016 Set 1 | Question: 30
The Laplace transform of the casual periodic square wave of period $T$ shown in the figure below is $F(S) = \frac{1}{1+e^{-sT/2}} \\$ $F(S) =\frac{1}{s(1+e^{-sT/2})} \\$ $F(S) = \frac{1}{s(1-e^{-sT})} \\$ $F(S) = \frac{1}{1-e^{-sT}}$
The Laplace transform of the casual periodic square wave of period $T$ shown in the figure below is$F(S) = \frac{1}{1+e^{-sT/2}} \\$$F(S) =\frac{1}{s(1+e^{-sT/2})} \\$$F(...
Milicevic3306
16.0k
points
155
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Milicevic3306
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Mar 27, 2018
Network Solution Methods
gate2016-ec-1
network-solution-methods
laplace-transform
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–
0
votes
0
answers
42
GATE ECE 2016 Set 1 | Question: 32
A first-order low-pass filter of time constant $T$ is excited with different input signals (with zero initial conditions up to $t = 0$). Match the excitation signals $X, Y, Z$ with the corresponding time responses for $t \geq 0 $ ... $X \to R, \: Y\to P, \: Z \to Q$ $X \to P, \: Y\to R, \: Z \to Q$
A first-order low-pass filter of time constant $T$ is excited with different input signals (with zero initial conditions up to $t = 0$). Match the excitation signals $X, ...
Milicevic3306
16.0k
points
83
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Milicevic3306
asked
Mar 27, 2018
Continuous-time Signals
gate2016-ec-1
signals-and-systems
low-pass-filters
continuous-time-signals
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–
0
votes
0
answers
43
GATE ECE 2016 Set 1 | Question: 33
An AC voltage source $V = 10 \sin(t)$ volts is applied to the following network. Assume that $R_1 = 3 k\Omega$, $R_2 = 6 k\Omega$ and $R_3 = 9k\Omega$, and that the diode is ideal. RMS current $I_{rms}$(in mA) through the diode is _______
An AC voltage source $V = 10 \sin(t)$ volts is applied to the following network. Assume that $R_1 = 3 k\Omega$, $R_2 = 6 k\Omega$ and $R_3 = 9k\Omega$, and that the diode...
Milicevic3306
16.0k
points
106
views
Milicevic3306
asked
Mar 27, 2018
Analog Circuits
gate2016-ec-1
numerical-answers
analog-circuits
+
–
0
votes
0
answers
44
GATE ECE 2016 Set 1 | Question: 34
In the circuit shown in the figure, the maximum power (in watt) delivered to the resistor $R$ is _______
In the circuit shown in the figure, the maximum power (in watt) delivered to the resistor $R$ is _______
Milicevic3306
16.0k
points
176
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Milicevic3306
asked
Mar 27, 2018
Analog Circuits
gate2016-ec-1
numerical-answers
analog-circuits
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–
0
votes
0
answers
45
GATE ECE 2016 Set 1 | Question: 35
Consider the signal $x[n] = 6 \delta[n + 2] + 3 \delta[n + 1] + 8 \delta[n] + 7 \delta[n - 1] + 4 \delta[n - 2]$ If $X(e^{jw})$ is the discrete-time Fourier transform of $x[n]$, then $\frac{1}{\pi} \int\limits_{-\pi}^{\pi} X(e^{jw}) \sin^2(2\omega) d\omega$ is equal to _______
Consider the signal $$x[n] = 6 \delta[n + 2] + 3 \delta[n + 1] + 8 \delta[n] + 7 \delta[n - 1] + 4 \delta[n - 2]$$ If $X(e^{jw})$ is the discrete-time Fourier transform o...
Milicevic3306
16.0k
points
103
views
Milicevic3306
asked
Mar 27, 2018
Continuous-time Signals
gate2016-ec-1
numerical-answers
continuous-time-signals
signals-and-systems
fourier-transform
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–
0
votes
0
answers
46
GATE ECE 2016 Set 1 | Question: 36
Consider a silicon $p-n$ junction with a uniform acceptor doping concentration of $10^{17} cm^{-3}$ on the $p$-side and a uniform donor doping concentration of $10^{16}cm^{-3}$ on the $n$ ... $nC \: cm^{-2}$) in the depletion region on the $p$-side is _________
Consider a silicon $p-n$ junction with a uniform acceptor doping concentration of $10^{17} cm^{-3}$ on the $p$-side and a uniform donor doping concentration of $10^{16}cm...
Milicevic3306
16.0k
points
104
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Milicevic3306
asked
Mar 27, 2018
Electronic Devices
gate2016-ec-1
numerical-answers
electronic-devices
p-n-junction
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–
0
votes
0
answers
47
GATE ECE 2016 Set 1 | Question: 37
Consider an $n$-channel metal oxide semiconductor field effect transistor (MOSFET) with a gate-to-source voltage of $1.8$ V. Assume that $\frac{W}{L}=4$, $\mu_NC_{ox}= 70 \times 10^{-6} AV^{-2}$ ... channel length modulation parameter is $0.09 \: V^{-1}$. In the saturation region, the drain conductance (in micro siemens) is _________
Consider an $n$-channel metal oxide semiconductor field effect transistor (MOSFET) with a gate-to-source voltage of $1.8$ V. Assume that $\frac{W}{L}=4$, $\mu_NC_{ox}= 70...
Milicevic3306
16.0k
points
89
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Milicevic3306
asked
Mar 27, 2018
Electronic Devices
gate2016-ec-1
numerical-answers
electronic-devices
mosfet
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–
0
votes
0
answers
48
GATE ECE 2016 Set 1 | Question: 38
The figure below shows the doping distribution in a $p$-type semiconductor in log scale. The magnitude of the electric field (in $kV/cm$) in the semiconductor due to non uniform doping is _________
The figure below shows the doping distribution in a $p$-type semiconductor in log scale.The magnitude of the electric field (in $kV/cm$) in the semiconductor due to non u...
Milicevic3306
16.0k
points
253
views
Milicevic3306
asked
Mar 27, 2018
Electronic Devices
gate2016-ec-1
numerical-answers
digital-circuits
semiconductor
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–
0
votes
0
answers
49
GATE ECE 2016 Set 1 | Question: 39
Consider a silicon sample at $T = 300 \: K$, with a uniform donor density $N_d = 5 \times 10 ^{16} cm^{-3}$ , illuminated uniformly such that the optical generation rate is $G_{opt}=1.5 \times 10^{20} cm^{-3}s^{-1}$ throughout the sample. The incident radiation is turned ... $3.73 \times 10^{11}cm^{-3}$ $7.5 \times 10^{13}cm^{-3}$ and $4.12 \times 10^{11}cm^{-3}$
Consider a silicon sample at $T = 300 \: K$, with a uniform donor density $N_d = 5 \times 10 ^{16} cm^{-3}$ , illuminated uniformly such that the optical generation rate ...
Milicevic3306
16.0k
points
96
views
Milicevic3306
asked
Mar 27, 2018
Electronic Devices
gate2016-ec-1
electronic-devices
intrinsic-and-extrinsic-silicon
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–
0
votes
0
answers
50
GATE ECE 2016 Set 1 | Question: 40
An ideal opamp has voltage sources $V_1, V_3, V_5, \dots, V_{N-1}$ connected to the non-inverting input and $V_2, V_4, V_6, \dots, V_N$ connected to the inverting input as shown in the figure below $(+V_{CC}= 15$ volt, $ - V_{CC} = - 15$ volt ... $N$ approaches infinity, the output voltage (in volt) is _________
An ideal opamp has voltage sources $V_1, V_3, V_5, \dots, V_{N-1}$ connected to the non-inverting input and $V_2, V_4, V_6, \dots, V_N$ connected to the inverting input a...
Milicevic3306
16.0k
points
85
views
Milicevic3306
asked
Mar 27, 2018
Analog Circuits
gate2016-ec-1
numerical-answers
analog-circuits
op-amps
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–
0
votes
0
answers
51
GATE ECE 2016 Set 1 | Question: 41
A $p-i-n$ photodiode of responsivity $0.8 \: A/W$ is connected to the inverting input of an ideal opamp as shown in the figure, $+V_{CC}= 15 V, \: – V_{CC} = – 15 V$, Load resistor $R_L=10k\Omega$. If $10 \mu W$ of power is incident on the photodiode, then the value of the photocurrent(in $\mu A$) through the load is _________
A $p-i-n$ photodiode of responsivity $0.8 \: A/W$ is connected to the inverting input of an ideal opamp as shown in the figure, $+V_{CC}= 15 V, \: – V_{CC} = – 15 V$...
Milicevic3306
16.0k
points
78
views
Milicevic3306
asked
Mar 27, 2018
Electronic Devices
gate2016-ec-1
numerical-answers
electronic-devices
photo-diode
+
–
0
votes
0
answers
52
GATE ECE 2016 Set 1 | Question: 42
Identify the circuit below. Binary to Gray code converter Binary to XS3 converter Gray to Binary converter XS3 to Binary converter
Identify the circuit below.Binary to Gray code converterBinary to XS3 converterGray to Binary converterXS3 to Binary converter
Milicevic3306
16.0k
points
145
views
Milicevic3306
asked
Mar 27, 2018
Electronic Devices
gate2016-ec-1
electronic-devices
+
–
0
votes
0
answers
53
GATE ECE 2016 Set 1 | Question: 43
The functionality implemented by the circuit below is $2$-to-$1$ multiplexer $4$-to-$1$ multiplexer $7$-to-$1$ multiplexer $6$-to-$1$ multiplexer
The functionality implemented by the circuit below is$2$-to-$1$ multiplexer $4$-to-$1$ multiplexer$7$-to-$1$ multiplexer$6$-to-$1$ multiplexer
Milicevic3306
16.0k
points
252
views
Milicevic3306
asked
Mar 27, 2018
Number Representations
gate2016-ec-1
digital-circuits
combinational-circuits
multiplexers
decoders
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–
0
votes
0
answers
54
GATE ECE 2016 Set 1 | Question: 44
In an $8085$ system, a PUSH operation requires more clock cycles than a POP operation. Which one of the following options is the correct reason for this? For POP, the data transceivers remain in the same direction as for instruction fetch ... in the stack pointer. Order of registers has to be interchanged for a PUSH operation, whereas POP uses their natural order.
In an $8085$ system, a PUSH operation requires more clock cycles than a POP operation. Which one of the following options is the correct reason for this?For POP, the data...
Milicevic3306
16.0k
points
100
views
Milicevic3306
asked
Mar 27, 2018
Digital Circuits
gate2016-ec-1
digital-circuits
microprocessor-8085
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–
0
votes
0
answers
55
GATE ECE 2016 Set 1 | Question: 45
The open-loop transfer function of a unity-feedback control system is $G(s)= \frac{K}{s^2+5s+5}$. The value of $K$ at the breakaway point of the feedback contol system’s root-locus plot is _________
The open-loop transfer function of a unity-feedback control system is $$G(s)= \frac{K}{s^2+5s+5}$$. The value of $K$ at the breakaway point of the feedback contol system�...
Milicevic3306
16.0k
points
117
views
Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2016-ec-1
numerical-answers
network-solution-methods
transfer-function
bode-and-root-locus-plots
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–
0
votes
0
answers
56
GATE ECE 2016 Set 1 | Question: 46
The open-loop transfer function of a unity feedback control system is given by $G(s)= \frac{K}{s(s+2)}$. For the peak overshoot of the closed-loop system to a unit step input to be $10 \%$, the value of $K$ is _________
The open-loop transfer function of a unity feedback control system is given by $$G(s)= \frac{K}{s(s+2)}$$. For the peak overshoot of the closed-loop system to a unit step...
Milicevic3306
16.0k
points
157
views
Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2016-ec-1
numerical-answers
network-solution-methods
transfer-function
+
–
0
votes
0
answers
57
GATE ECE 2016 Set 1 | Question: 47
The transfer function of a linear time invariant system is given by $H(s) = 2s^4 – 5s^3 + 5s -2$. The number of zeroes in the right half of the $s$-plane is _________
The transfer function of a linear time invariant system is given by $H(s) = 2s^4 – 5s^3 + 5s -2$. The number of zeroes in the right half of the $s$-plane is _________
Milicevic3306
16.0k
points
116
views
Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2016-ec-1
numerical-answers
network-solution-methods
transfer-function
+
–
0
votes
0
answers
58
GATE ECE 2016 Set 1 | Question: 48
Consider a discrete memoryless source with alphabet $S = \{s_0,s_1,s_2,s_3,s_4, \dots \}$ and respective probabilities of occurence $P = \bigg\{ \frac{1}{2}, \frac{1}{4}, \frac{1}{8}, \frac{1}{16}, \frac{1}{32}, \dots \bigg\}$. The entropy of the source (in bits) is _________
Consider a discrete memoryless source with alphabet $S = \{s_0,s_1,s_2,s_3,s_4, \dots \}$ and respective probabilities of occurence $P = \bigg\{ \frac{1}{2}, \frac{1}{4},...
Milicevic3306
16.0k
points
141
views
Milicevic3306
asked
Mar 27, 2018
Probability and Statistics
gate2016-ec-1
numerical-answers
probability-and-statistics
probability
+
–
0
votes
0
answers
59
GATE ECE 2016 Set 1 | Question: 49
A digital communication system uses a repetition code for channel encoding/decoding. During transmission, each bit is repeated three times ($0$ is transmitted as $000$, and $1$ is transmitted as $111$). It is assumed that the source puts ... a $1$. Assuming a binary symmetric channel with crossover probability $p=0.1$, the average probability of error is _________
A digital communication system uses a repetition code for channel encoding/decoding. During transmission, each bit is repeated three times ($0$ is transmitted as $000$, a...
Milicevic3306
16.0k
points
421
views
Milicevic3306
asked
Mar 27, 2018
Communications
gate2016-ec-1
numerical-answers
digital-communications
communications
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–
0
votes
0
answers
60
GATE ECE 2016 Set 1 | Question: 50
An analog pulse $s(t)$ is transmitted over an additive white Gaussian noise (AWGN) channel. The received signal is $r(t) = s(t) + n(t)$, where $n(t)$ is additive white Gaussian noise with power spectral density $\frac{N_0}{2}$. The received signal is passed ... $E_s > E_h$ ; $SNR_{max}>\frac{2E_s}{N_0} \\ $ $E_s < E_h$ ; $SNR_{max}=\frac{2E_h}{N_0}$
An analog pulse $s(t)$ is transmitted over an additive white Gaussian noise (AWGN) channel. The received signal is $r(t) = s(t) + n(t)$, where $n(t)$ is additive white Ga...
Milicevic3306
16.0k
points
160
views
Milicevic3306
asked
Mar 27, 2018
Vector Analysis
gate2016-ec-1
vector-analysis
gauss's-theorem
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–
0
votes
0
answers
61
GATE ECE 2016 Set 1 | Question: 51
The current density in a medium is given by ${\overrightarrow J= \frac{400 \sin\theta}{2\pi(r^2+4)} \hat {a}_r \: Am^{-2}}$ The total current and the average current density flowing through the portion of a spherical surface $r = 0.8 \: m$ ... $18.73 A, \: 13.65 Am^{-2}$ $12.86 A, \: 9.23 Am^{-2}$ $10.28 A, \: 7.56 Am^{-2}$
The current density in a medium is given by $${\overrightarrow J= \frac{400 \sin\theta}{2\pi(r^2+4)} \hat {a}_r \: Am^{-2}}$$The total current and the average current den...
Milicevic3306
16.0k
points
72
views
Milicevic3306
asked
Mar 27, 2018
Electronic Devices
gate2016-ec-1
electronic-devices
+
–
0
votes
0
answers
62
GATE ECE 2016 Set 1 | Question: 52
An antenna pointing in a certain direction has a noise temperature of $50 \: K$. The ambient temperature is $290 \: K$. The antenna is connected to a pre-amplifier that has a noise figure of $2$ dB and an available gain of $40$ dB over an effective bandwidth of $12$ MHz. ... $T_e = 160.62\thinspace K$ and $P_{a0} = 4.6\times 10^{-10}W$
An antenna pointing in a certain direction has a noise temperature of $50 \: K$. The ambient temperature is $290 \: K$. The antenna is connected to a pre-amplifier that h...
Milicevic3306
16.0k
points
97
views
Milicevic3306
asked
Mar 27, 2018
Electromagnetics
gate2016-ec-1
electromagnetics
antennas
+
–
0
votes
0
answers
63
GATE ECE 2016 Set 1 | Question: 53
Two lossless X-band horn antennas are separated by a distance of $200 \lambda$. The amplitude reflection coefficients at the terminals of the transmitting and receiving antennas are $0.15$ and $0.18$,respectively. The maximum directives of ... are perfectly aligned and polarization matched, the power ( in mW) delivered to the load at the receiver is _________
Two lossless X-band horn antennas are separated by a distance of $200 \lambda$. The amplitude reflection coefficients at the terminals of the transmitting and receiving a...
Milicevic3306
16.0k
points
136
views
Milicevic3306
asked
Mar 27, 2018
Electromagnetics
gate2016-ec-1
numerical-answers
electromagnetics
antennas
+
–
0
votes
0
answers
64
GATE ECE 2016 Set 1 | Question: 54
The electric field of a uniform plane wave traveling along the negative $z$ direction is given by the following equation: ${\overrightarrow {E}^i_w= ( \hat {a}_x+ j\hat {a}_y)E_0e^{jkz}}$ This wave is incident upon a receiving antenna placed ... $-5$dB Circular(clockwise), Linear, $-3$dB Circular(anti clockwise), Linear, $-3$dB
The electric field of a uniform plane wave traveling along the negative $z$ direction is given by the following equation:$${\overrightarrow {E}^i_w= ( \hat {a}_x+ j\hat {...
Milicevic3306
16.0k
points
106
views
Milicevic3306
asked
Mar 27, 2018
Electromagnetics
gate2016-ec-1
plane-waves-and-properties
electromagnetics
+
–
0
votes
0
answers
65
GATE ECE 2016 Set 1 | Question: 55
The far-zone power density radiated by a helical antenna is approximated as: ${\overrightarrow W_{rad}= \overrightarrow W_{average} \approx \hat {a_r}C_0\frac{1}{r^2}\cos^4\theta}$ The radiated power density is symmetrical with respect to $\phi$ ... maximum directivity of the antenna, respectively, are $1.5C_0,10dB$ $1.256C_0,10dB$ $1.256C_0,12dB$ $1.5C_0,12dB$
The far-zone power density radiated by a helical antenna is approximated as:$${\overrightarrow W_{rad}= \overrightarrow W_{average} \approx \hat {a_r}C_0\frac{1}{r^2}\cos...
Milicevic3306
16.0k
points
102
views
Milicevic3306
asked
Mar 27, 2018
Electromagnetics
gate2016-ec-1
electromagnetics
antennas
+
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