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Recent questions tagged gate2015-ec-1
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41
GATE ECE 2015 Set 1 | Question: 30
The damping ratio of a series RLC circuit can be expressed as $\frac{R^2C}{2L} \\$ $\frac{2L}{R^2C} \\$ $\frac{R}{2} \sqrt{\frac{C}{L}} \\$ $\frac{2}{R} \sqrt{\frac{L}{C}}$
The damping ratio of a series RLC circuit can be expressed as$\frac{R^2C}{2L} \\$$\frac{2L}{R^2C} \\$$\frac{R}{2} \sqrt{\frac{C}{L}} \\$$\frac{2}{R} \sqrt{\frac{L}{C}}$
Milicevic3306
16.0k
points
123
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Milicevic3306
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Mar 27, 2018
Network Solution Methods
gate2015-ec-1
network-solution-methods
rlc-circuits
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–
0
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0
answers
42
GATE ECE 2015 Set 1 | Question: 32
In the given circuit, the maximum power (in Watts) that can be transferred to the load $R_L$ is ________.
In the given circuit, the maximum power (in Watts) that can be transferred to the load $R_L$ is ________.
Milicevic3306
16.0k
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157
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Milicevic3306
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Mar 27, 2018
Network Solution Methods
gate2015-ec-1
numerical-answers
network-solution-methods
maximum-power-transfer
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–
0
votes
0
answers
43
GATE ECE 2015 Set 1 | Question: 33
The built-in potential of an abrupt p-n junction is $0.75$ V. If its junction capacitance $(C_J)$ at a reverse bias $(V_R)$ of $1.25 \: V$ is $5$ pF, the value of $C_J$ (in pF) when $V_R = 7.25 \: V$ is ________.
The built-in potential of an abrupt p-n junction is $0.75$ V. If its junction capacitance $(C_J)$ at a reverse bias $(V_R)$ of $1.25 \: V$ is $5$ pF, the value of $C_J$ (...
Milicevic3306
16.0k
points
77
views
Milicevic3306
asked
Mar 27, 2018
Electronic Devices
gate2015-ec-1
numerical-answers
electronic-devices
p-n-junction
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–
0
votes
0
answers
44
GATE ECE 2015 Set 1 | Question: 34
A MOSFET in saturation has a drain current of $1$ mA for $V_{DS} =0.5 \: V$. If the channel length modulation coefficient is $0.05 \: V^{-1}$, the output resistance (in $k \Omega$) of the MOSFET is ___________.
A MOSFET in saturation has a drain current of $1$ mA for $V_{DS} =0.5 \: V$. If the channel length modulation coefficient is $0.05 \: V^{-1}$, the output resistance (in $...
Milicevic3306
16.0k
points
78
views
Milicevic3306
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Mar 27, 2018
Analog Circuits
gate2015-ec-1
numerical-answers
analog-circuits
mosfet
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–
0
votes
0
answers
45
GATE ECE 2015 Set 1 | Question: 35
For a silicon diode with long P and N regions, the accepter and donor impurity concentrations are $1 \times 10^{17} \:cm^{-3}$ and $1 \times 10^{15} \: cm^{-3}$, respectively. The lifetimes of electrons in P region and holes in N ... $nA/cm^2$) injected from P region to N region is __________.
For a silicon diode with long P and N regions, the accepter and donor impurity concentrations are $1 \times 10^{17} \:cm^{-3}$ and $1 \times 10^{15} \: cm^{-3}$, respecti...
Milicevic3306
16.0k
points
84
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Milicevic3306
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Mar 27, 2018
Electronic Devices
gate2015-ec-1
numerical-answers
electronic-devices
+
–
1
votes
0
answers
46
GATE ECE 2015 Set 1 | Question: 36
The Boolean expression $F(X,Y,Z) = \overline{X} \: Y \: \overline{Z}+ X \: \overline{Y} \: \overline{Z}+ X \: Y \: \overline{Z} + X \: Y \: Z$ ... $(X+\overline{Y}+\overline{Z})(\overline{X}+Y+Z)(\overline{X}+\overline{Y}+Z)(X + Y + Z)$
The Boolean expression $F(X,Y,Z) = \overline{X} \: Y \: \overline{Z}+ X \: \overline{Y} \: \overline{Z}+ X \: Y \: \overline{Z} + X \: Y \: Z$ converted into the canonica...
Milicevic3306
16.0k
points
94
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Mar 27, 2018
Digital Circuits
gate2015-ec-1
boolean-algebra
digital-circuits
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–
0
votes
0
answers
47
GATE ECE 2015 Set 1 | Question: 37
All the logic gates shown in the figure have a propagation delay of $20$ ns. Let $A=C=0$ and $B=1$ until time $t=0$. At $t=0$, all the inputs flip (i.e., $A=C=1$ and $B=0$) and remain in that state. For $t>0$, output $Z=1$ for a duration (in ns) of ________.
All the logic gates shown in the figure have a propagation delay of $20$ ns. Let $A=C=0$ and $B=1$ until time $t=0$. At $t=0$, all the inputs flip (i.e., $A=C=1$ and $B=0...
Milicevic3306
16.0k
points
172
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Milicevic3306
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Mar 27, 2018
Electromagnetics
gate2015-ec-1
numerical-answers
electromagnetics
propagation
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–
1
votes
1
answer
48
GATE ECE 2015 Set 1 | Question: 38
A $3$-input majority gate is defined by the logic function $M(a,b,c)=ab+bc+ca$. Which one of the following gates is represented by the function $M(\overline{M(a,b,c)}, M(a,b,\overline{c}),c)$? $3$-input NAND gate $3$-input XOR gate $3$-input NOR gate $3$-input XNOR gate
A $3$-input majority gate is defined by the logic function $M(a,b,c)=ab+bc+ca$. Which one of the following gates is represented by the function $M(\overline{M(a,b,c)}, M(...
Milicevic3306
16.0k
points
400
views
Milicevic3306
asked
Mar 27, 2018
Digital Circuits
gate2015-ec-1
digital-circuits
logic-gates
+
–
0
votes
0
answers
49
GATE ECE 2015 Set 1 | Question: 39
For the NMOSFET in the circuit shown, the threshold voltage is $V_{th}$, where $V_{th}>0$. The source voltage $V_{SS}$ is varied from $0$ to $V_{DD}$. Neglecting the channel length modulation, the drain current $I_D$ as a function of $V_{SS}$ is represented by
For the NMOSFET in the circuit shown, the threshold voltage is $V_{th}$, where $V_{th}>0$. The source voltage $V_{SS}$ is varied from $0$ to $V_{DD}$. Neglecting the chan...
Milicevic3306
16.0k
points
69
views
Milicevic3306
asked
Mar 27, 2018
Analog Circuits
gate2015-ec-1
analog-circuits
mosfet
+
–
0
votes
0
answers
50
GATE ECE 2015 Set 1 | Question: 40
In the circuit shown, assume that the opamp is ideal. The bridge output voltage $V_0$ (in mV) for $\delta=0.05$ is __________
In the circuit shown, assume that the opamp is ideal. The bridge output voltage $V_0$ (in mV) for $\delta=0.05$ is __________
Milicevic3306
16.0k
points
67
views
Milicevic3306
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Mar 27, 2018
Analog Circuits
gate2015-ec-1
numerical-answers
analog-circuits
op-amps
+
–
0
votes
0
answers
51
GATE ECE 2015 Set 1 | Question: 41
The circuit shown in the figure has an ideal opamp. The oscillation frequency and the condition to sustain the oscillations, respectively, are $\frac{1}{CR}$ and $R_1=R_2 \\ $ $\frac{1}{CR}$ and $R_1=4R_2 \\ $ $\frac{1}{2CR}$ and $R_1=R_2 \\ $ $\frac{1}{2CR}$ and $R_1=4R_2 $
The circuit shown in the figure has an ideal opamp. The oscillation frequency and the condition to sustain the oscillations, respectively, are$\frac{1}{CR}$ and $R_1=R_2 ...
Milicevic3306
16.0k
points
158
views
Milicevic3306
asked
Mar 27, 2018
Analog Circuits
gate2015-ec-1
analog-circuits
op-amps
+
–
0
votes
0
answers
52
GATE ECE 2015 Set 1 | Question: 42
In the circuit shown, $I_1=80$ mA and $I_2=4$ mA. Transistors $T_1$ and $T_2$ are identical. Assume that the thermal voltage $V_T$ is $26$ mV at $27^{\circ}C$. At $50^{\circ}C$, the value of the voltage $V_{12}=V_1 - V_2$ (in mV) is _______.
In the circuit shown, $I_1=80$ mA and $I_2=4$ mA. Transistors $T_1$ and $T_2$ are identical. Assume that the thermal voltage $V_T$ is $26$ mV at $27^{\circ}C$. At $50^{\c...
Milicevic3306
16.0k
points
135
views
Milicevic3306
asked
Mar 27, 2018
Diode Circuits
gate2015-ec-1
numerical-answers
+
–
0
votes
0
answers
53
GATE ECE 2015 Set 1 | Question: 43
Two sequences $\begin{bmatrix}a, & b, & c \end{bmatrix}$ and $\begin{bmatrix}A, & B, & C \end{bmatrix}$ ... $\begin{bmatrix}p, & q, & r \end{bmatrix} = \begin{bmatrix} c, & b, & a \end{bmatrix}$
Two sequences $\begin{bmatrix}a, & b, & c \end{bmatrix}$ and $\begin{bmatrix}A, & B, & C \end{bmatrix}$ are related as,$$\begin{bmatrix}A \\ B \\ C \end{bmatrix} = \be...
Milicevic3306
16.0k
points
87
views
Milicevic3306
asked
Mar 27, 2018
Linear Algebra
gate2015-ec-1
linear-algebra
matrices
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–
0
votes
0
answers
54
GATE ECE 2015 Set 1 | Question: 44
For the discrete-time system shown in the figure, the poles of the system transfer function are located at $2,3 \\$ $\frac{1}{2},3 \\$ $\frac{1}{2}, \frac{1}{3} \\$ $2, \frac{1}{3}$
For the discrete-time system shown in the figure, the poles of the system transfer function are located at$2,3 \\$$\frac{1}{2},3 \\$$\frac{1}{2}, \frac{1}{3} \\$$2, \frac...
Milicevic3306
16.0k
points
92
views
Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2015-ec-1
network-solution-methods
transfer-function
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–
0
votes
0
answers
55
GATE ECE 2015 Set 1 | Question: 45
The pole-zero diagram of a casual and stable discrete-time system is shown in the figure. The zero at the origin has multiplicity $4$. The impulse response of the system is $h[n]$. If $h[0]=1$, we can conclude $h[n]$ is real for all $n$ $h[n]$ is purely imaginary for all $n$ $h[n]$ is real for only even $n$ $h[n]$ is purely imaginary for only odd $n$
The pole-zero diagram of a casual and stable discrete-time system is shown in the figure. The zero at the origin has multiplicity $4$. The impulse response of the system ...
Milicevic3306
16.0k
points
126
views
Milicevic3306
asked
Mar 27, 2018
Continuous-time Signals
gate2015-ec-1
continuous-time-signals
poles-and-zeros
+
–
0
votes
0
answers
56
GATE ECE 2015 Set 1 | Question: 46
The open-loop transfer function of a plant in a unity feedback configuration is given as $G(s) = \frac{K(s+4)}{(s+8)(s^2-9)}$. The value of the gain $K(>0)$ for which $-1+j2$ lies on the root locus is _________.
The open-loop transfer function of a plant in a unity feedback configuration is given as $G(s) = \frac{K(s+4)}{(s+8)(s^2-9)}$. The value of the gain $K(>0)$ for which $-1...
Milicevic3306
16.0k
points
78
views
Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2015-ec-1
numerical-answers
network-solution-methods
diodes
transfer-function
+
–
0
votes
0
answers
57
GATE ECE 2015 Set 1 | Question: 47
A lead compensator network includes a parallel combination of $R$ and $C$ in the feed-forward path. If the transfer function of the compensator is $G_c(s)=\frac{s+2}{s+4}$, the value of $RC$ is ___________.
A lead compensator network includes a parallel combination of $R$ and $C$ in the feed-forward path. If the transfer function of the compensator is $G_c(s)=\frac{s+2}{s+4}...
Milicevic3306
16.0k
points
90
views
Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2015-ec-1
numerical-answers
network-solution-methods
transfer-function
+
–
0
votes
0
answers
58
GATE ECE 2015 Set 1 | Question: 48
A plant transfer function is given as $G(s)= \bigg( K_p+ \frac{K_1}{s} \bigg) \frac{1}{s(s+2)}$. When the plant operates in a unity feedback configuration, the condition for the stability of the closed loop system is $K_p>\frac{K_1}{2}>0 \\$ $2K_1>K_p>0 \\$ $2K_1<K_p \\$ $2K_1>K_p$
A plant transfer function is given as $G(s)= \bigg( K_p+ \frac{K_1}{s} \bigg) \frac{1}{s(s+2)}$. When the plant operates in a unity feedback configuration, the condition ...
Milicevic3306
16.0k
points
111
views
Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2015-ec-1
network-solution-methods
transfer-function
+
–
0
votes
0
answers
59
GATE ECE 2015 Set 1 | Question: 49
The input $X$ to the Binary Symmetric Channel (BSC) shown in the figure is $’1’$ with probability $0.8$. The cross-over probability is $1/7$. If the received bit $Y=0$, the conditional probability that $’1’$ was transmitted is ____________
The input $X$ to the Binary Symmetric Channel (BSC) shown in the figure is $’1’$ with probability $0.8$. The cross-over probability is $1/7$. If the received bit $Y=0...
Milicevic3306
16.0k
points
184
views
Milicevic3306
asked
Mar 27, 2018
Probability and Statistics
gate2015-ec-1
numerical-answers
probability-and-statistics
probability
+
–
0
votes
0
answers
60
GATE ECE 2015 Set 1 | Question: 50
The transmitted signal in a GSM system is of $200$ kHz bandwidth and $8$ users share a common bandwidth using TDMA. If at a given time $12$ users are talking in a cell, the total bandwidth of the signal received by the base station of the cell will be at least (in kHz) ___________.
The transmitted signal in a GSM system is of $200$ kHz bandwidth and $8$ users share a common bandwidth using TDMA. If at a given time $12$ users are talking in a cell, t...
Milicevic3306
16.0k
points
139
views
Milicevic3306
asked
Mar 27, 2018
Communications
gate2015-ec-1
numerical-answers
communications
time-divison-multiple-accessamplifiers
+
–
0
votes
0
answers
61
GATE ECE 2015 Set 1 | Question: 51
In the system shown in Figure (a), $m(t)$ is a low-pass signal with bandwidth $W$ Hz. The frequency response of the band-pass filter $H(f)$ is shown in Figure (b). If it is desired that the output signal $z(t)=10x(t)$, the maximum value of $W$ (in Hz) should be strictly less than _____________.
In the system shown in Figure (a), $m(t)$ is a low-pass signal with bandwidth $W$ Hz. The frequency response of the band-pass filter $H(f)$ is shown in Figure (b). If it ...
Milicevic3306
16.0k
points
120
views
Milicevic3306
asked
Mar 27, 2018
Continuous-time Signals
gate2015-ec-1
numerical-answers
signals-and-systems
continuous-time-signals
+
–
0
votes
0
answers
62
GATE ECE 2015 Set 1 | Question: 52
A source emits bit $0$ with probability $\frac{1}{3}$ and bit $1$ with probability $\frac{2}{3}$. The emitted bits are communicated to the receiver. The receiver decides for either $0$ or $1$ based on the received value $R$. It is given that the ... $0$ $1/12$ $1/9$ $1/6$
A source emits bit $0$ with probability $\frac{1}{3}$ and bit $1$ with probability $\frac{2}{3}$. The emitted bits are communicated to the receiver. The receiver decides ...
Milicevic3306
16.0k
points
148
views
Milicevic3306
asked
Mar 27, 2018
Probability and Statistics
gate2015-ec-1
probability-and-statistics
probability
probability-density-function
+
–
0
votes
0
answers
63
GATE ECE 2015 Set 1 | Question: 53
The longitudinal component of the magnetic field inside an air-filled rectangular waveguide made of a perfect electric conductor is given by the following expression ... and $b=0.033 \: m$. The mode of propagation inside the waveguide is $TM_{12}$ $TM_{21}$ $TE_{21}$ $TE_{12}$
The longitudinal component of the magnetic field inside an air-filled rectangular waveguide made of a perfect electric conductor is given by the following expression $$H_...
Milicevic3306
16.0k
points
111
views
Milicevic3306
asked
Mar 27, 2018
Electromagnetics
gate2015-ec-1
electromagnetics
propagation
+
–
0
votes
0
answers
64
GATE ECE 2015 Set 1 | Question: 54
The electric field intensity of a plane wave traveling in free space is given by the following expression $\textbf{E}(x,t)=\textbf{a}_y \: 24 \: \pi \: \: \cos(\omega t - k_0 x) \: \: (V/m)$ ... $x+y=1$. The total time-averaged power (in mW) passing through the square area is _____________.
The electric field intensity of a plane wave traveling in free space is given by the following expression $$\textbf{E}(x,t)=\textbf{a}_y \: 24 \: \pi \: \: \cos(\omega t ...
Milicevic3306
16.0k
points
84
views
Milicevic3306
asked
Mar 27, 2018
Vector Analysis
gate2015-ec-1
numerical-answers
vector-analysis
+
–
0
votes
0
answers
65
GATE ECE 2015 Set 1 | Question: 55
Consider a uniform plane wave with amplitude $(E_0)$ of $10 \: V/m$ and $1.1$ GHz frequency travelling in air, and incident normally on a dielectric medium with complex relative permittivity $(\varepsilon _r)$ ... electric field component (in V/m) after it has travelled a distance of $10$ cm inside the dielectric region is ____________.
Consider a uniform plane wave with amplitude $(E_0)$ of $10 \: V/m$ and $1.1$ GHz frequency travelling in air, and incident normally on a dielectric medium with complex r...
Milicevic3306
16.0k
points
103
views
Milicevic3306
asked
Mar 27, 2018
Vector Analysis
gate2015-ec-1
numerical-answers
vector-analysis
+
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