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Recent questions tagged gate2014-ec-4
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41
GATE ECE 2014 Set 4 | Question: 30
The steady state output of the circuit shown in the figure is given by $y(t)=A(\omega) \sin (\omega t + \phi ( \omega))$. If the amplitude $\mid A (\omega ) \mid =0.25$, then the frequency $\omega$ is $\frac{1}{\sqrt{3} \: R \: C}$ $\frac{2}{\sqrt{3} \: R \: C}$ $\frac{1}{R \: C}$ $\frac{2}{R \: C}$
The steady state output of the circuit shown in the figure is given by $y(t)=A(\omega) \sin (\omega t + \phi ( \omega))$. If the amplitude $\mid A (\omega ) \mid =0.25$, ...
Milicevic3306
16.0k
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Network Solution Methods
gate2014-ec-4
network-solution-methods
steady-state
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–
0
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0
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42
GATE ECE 2014 Set 4 | Question: 31
In the circuit shown in the figure, the value of $v_0(t)$ (in Volts) for $t \to \infty$ is ___________
In the circuit shown in the figure, the value of $v_0(t)$ (in Volts) for $t \to \infty$ is ___________
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16.0k
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70
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Mar 26, 2018
Network Solution Methods
gate2014-ec-4
numerical-answers
network-solution-methods
+
–
0
votes
0
answers
43
GATE ECE 2014 Set 4 | Question: 32
The equivalent resistance in the infinite ladder network shown in the figure, is $R_e$. The value of $R_e/R$ is __________
The equivalent resistance in the infinite ladder network shown in the figure, is $R_e$.The value of $R_e/R$ is __________
Milicevic3306
16.0k
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83
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Mar 26, 2018
Network Solution Methods
gate2014-ec-4
numerical-answers
network-solution-methods
ladder-network
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–
0
votes
0
answers
44
GATE ECE 2014 Set 4 | Question: 33
For the two-port network shown in the figure, the impedance (Z) matrix (in $\Omega$) is $\begin{bmatrix} 6 & 24 \\ 42 & 9 \end{bmatrix}$ $\begin{bmatrix} 9 & 8 \\ 8 & 24 \end{bmatrix}$ $\begin{bmatrix} 9 & 6 \\ 6 & 24 \end{bmatrix}$ $\begin{bmatrix} 42 & 6 \\ 6 & 60 \end{bmatrix}$
For the two-port network shown in the figure, the impedance (Z) matrix (in $\Omega$) is$\begin{bmatrix} 6 & 24 \\ 42 & 9 \end{bmatrix}$$\begin{bmatrix} 9 & 8 \\ 8 & 24 \e...
Milicevic3306
16.0k
points
83
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Mar 26, 2018
Electromagnetics
gate2014-ec-4
electromagnetics
impedance
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–
0
votes
0
answers
45
GATE ECE 2014 Set 4 | Question: 34
Consider a silicon sample doped with $N_D = 1 \times 10^{15}/cm^3$ donor atoms. Assume that the intrinsic carrier concentration $n_i = 1.5 \times 10^{10}/cm^3$. If the sample is additionally doped with $N_A = 1 \times 10^{18}/cm^3$ acceptor atoms, the approximate number of electrons$/cm^3$ in the sample, at $T=300 \:K$, will be ________.
Consider a silicon sample doped with $N_D = 1 \times 10^{15}/cm^3$ donor atoms. Assume that the intrinsic carrier concentration $n_i = 1.5 \times 10^{10}/cm^3$. If the s...
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16.0k
points
84
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Mar 26, 2018
Electronic Devices
gate2014-ec-4
numerical-answers
electronic-devices
intrinsic-and-extrinsic-silicon
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–
0
votes
0
answers
46
GATE ECE 2014 Set 4 | Question: 36
An N-type semiconductor having uniform doping is biased as shown in the figure. If $E_C$ is the lowest energy level of the conduction band, $E_V$ is the highest energy level of the valance band and $E_F$ is the Fermi level, which one of the following represents the energy band diagram for the biased N-type semiconductor?
An N-type semiconductor having uniform doping is biased as shown in the figure.If $E_C$ is the lowest energy level of the conduction band, $E_V$ is the highest energy lev...
Milicevic3306
16.0k
points
97
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Mar 26, 2018
Number Representations
gate2014-ec-4
digital-circuits
semiconductor
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–
0
votes
0
answers
47
GATE ECE 2014 Set 4 | Question: 37
Consider the common-collector amplifier in the figure (bias circuitry ensures that the transistor operates in forward active region, but has been omitted for simplicity). Let $I_C$ be the collector current, $V_{BE}$ be the base-emitter voltage and $V_T$ be the ... of values of $R_E$? $g_mR_E <<1$ $I_CR_E>>V_T$ $g_mr_o>>1$ $V_{BE}>>V_T$
Consider the common-collector amplifier in the figure (bias circuitry ensures that the transistor operates in forward active region, but has been omitted for simplicity)....
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16.0k
points
174
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Mar 26, 2018
Analog Circuits
gate2014-ec-4
analog-circuits
amplifier
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–
0
votes
0
answers
48
GATE ECE 2014 Set 4 | Question: 38
A BJT in a common-base configuration is used to amplify a signal received by a $50 \Omega$ antenna. Assume $kT/q=25 \: mV$. The value of the collector bias current (in mA) required to match the input impedance of the amplifier to the impedance of the antenna is __________.
A BJT in a common-base configuration is used to amplify a signal received by a $50 \Omega$ antenna. Assume $kT/q=25 \: mV$. The value of the collector bias current (in mA...
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16.0k
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102
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Mar 26, 2018
Analog Circuits
gate2014-ec-4
numerical-answers
bjt-and-mosfet-amplifiers
analog-circuits
+
–
0
votes
0
answers
49
GATE ECE 2014 Set 4 | Question: 39
For the common collector amplifier shown in the figure, the BJT has high $\beta$, negligible $V_{CE(sat)}$, and $V_{BE}=0.7 \: V$. The maximum undistorted peak-to-peak output voltage $v_o$ (in Volts) is __________
For the common collector amplifier shown in the figure, the BJT has high $\beta$, negligible $V_{CE(sat)}$, and $V_{BE}=0.7 \: V$. The maximum undistorted peak-to-peak ou...
Milicevic3306
16.0k
points
166
views
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Mar 26, 2018
Analog Circuits
gate2014-ec-4
numerical-answers
bjt-and-mosfet-amplifiers
analog-circuits
+
–
1
votes
1
answer
50
GATE ECE 2014 Set 4 | Question: 40
An $8$- to $1$ multiplexer is used to implement a logical function $Y$ as shown in the figure. The output $Y$ is given by $Y = A \: \overline{B} \:C+A \: \overline{C} \:D$ $Y = \overline{A} \: B \:C +A \: \overline{B} \: D$ $Y = A \: B \: \overline{C} + \overline{A} \: C \:D$ $Y= \overline{A} \: \overline{B} \: D + A \: \overline{B} \: C$
An $8$- to $1$ multiplexer is used to implement a logical function $Y$ as shown in the figure. The output $Y$ is given by$Y = A \: \overline{B} \:C+A \: \overline{C} \:D...
Milicevic3306
16.0k
points
444
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Mar 26, 2018
Number Representations
gate2014-ec-4
digital-circuits
combinational-circuits
multiplexers
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–
0
votes
0
answers
51
GATE ECE 2014 Set 4 | Question: 41
A $16$ – bit ripple carry adder is realized using $16$ identical full adders (FA) as shown in the figure. The carry-propagation delay of each FA is $12$ ns and the sum-propagation delay of each FA is $15$ ns. The worst case delay (in ns) of this $16$-bit adder will be _______
A $16$ – bit ripple carry adder is realized using $16$ identical full adders (FA) as shown in the figure. The carry-propagation delay of each FA is $12$ ns and the sum-...
Milicevic3306
16.0k
points
69
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Mar 26, 2018
Electromagnetics
gate2014-ec-4
numerical-answers
electromagnetics
propagation-delay
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–
0
votes
0
answers
52
GATE ECE 2014 Set 4 | Question: 42
An $8085$ microprocessor executes $ STA 1234H $ with starting address location $1FFEH$ (STA copies the contents of the Accumulator to the $16$ ... $1FH, FEH, 1FH, FFH, 12H$ $1FH, 1FH, 12H, 12H$ $1FH, 1FH, 12H, 20H, 12H$
An $8085$ microprocessor executes $“STA 1234H”$ with starting address location $1FFEH$ (STA copies the contents of the Accumulator to the $16$- bit address location)....
Milicevic3306
16.0k
points
74
views
Milicevic3306
asked
Mar 26, 2018
Digital Circuits
gate2014-ec-4
digital-circuits
microprocessor-8085
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–
0
votes
0
answers
53
GATE ECE 2014 Set 4 | Question: 43
A stable linear time variant (LTI) system has a transfer function $H(s) = \frac{1}{s^2+s-6}$. To make this system casual it needs to be cascaded with another LTI system having a transfer function $H_1(s)$. A correct choice for $H_1(s)$ among the following options is $s+3$ $s-2$ $s-6$ $s+1$
A stable linear time variant (LTI) system has a transfer function $H(s) = \frac{1}{s^2+s-6}$. To make this system casual it needs to be cascaded with another LTI system ...
Milicevic3306
16.0k
points
95
views
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asked
Mar 26, 2018
Continuous-time Signals
gate2014-ec-4
continuous-time-signals
signals-and-systems
linear-time-invariant-systems
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–
0
votes
0
answers
54
GATE ECE 2014 Set 4 | Question: 44
A casual LTI system has zero initial conditions and impulse response $h(t)$. Its input $x(t)$ and output $y(t)$ are related through the linear constant-coefficient differential equation $\frac{d^2y(t)}{dt^2} + a \frac{dy(t)}{dt}+a^2y(t)=x(t).$ Let another ... $G(s)$ is the Laplace transform of $g(t)$, then the number of poles of $G(s)$ is _________.
A casual LTI system has zero initial conditions and impulse response $h(t)$. Its input $x(t)$ and output $y(t)$ are related through the linear constant-coefficient differ...
Milicevic3306
16.0k
points
86
views
Milicevic3306
asked
Mar 26, 2018
Continuous-time Signals
gate2014-ec-4
numerical-answers
continuous-time-signals
signals-and-systems
linear-time-invariant-systems
+
–
0
votes
0
answers
55
GATE ECE 2014 Set 4 | Question: 45
The $N$-point DFT $X$ of a sequence $x[n]$, $0 \leq n \leq N-1$ is given by $X[k] = \frac{1}{\sqrt{N}} \Sigma_{n=0}^{N-1} x[n] e^{-j \frac{2\pi}{N}nk}, \: \: \: 0 \leq k \leq N-1.$ Denote this relation as $X=DFT(x)$. For ... $x = \begin{bmatrix} 1 & 3 & 2 & 2 \end{bmatrix}$ $x = \begin{bmatrix} 1 & 2 & 2 & 3 \end{bmatrix}$
The $N$-point DFT $X$ of a sequence $x[n]$, $0 \leq n \leq N-1$ is given by $$X[k] = \frac{1}{\sqrt{N}} \Sigma_{n=0}^{N-1} x[n] e^{-j \frac{2\pi}{N}nk}, \: \: \: 0 \leq k...
Milicevic3306
16.0k
points
94
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Milicevic3306
asked
Mar 26, 2018
Continuous-time Signals
gate2014-ec-4
continuous-time-signals
discrete-fourier-transform
+
–
0
votes
0
answers
56
GATE ECE 2014 Set 4 | Question: 46
The state transition matrix $\phi(t)$ of a system $\begin{bmatrix} x_1 \\ x_2 \end{bmatrix} = \begin{bmatrix} 0 & 1 \\ 0 & 0 \end{bmatrix} \begin{bmatrix} x_1 \\ x_2 \end{bmatrix}$ is $\begin{bmatrix} t & 1 \\ 1 & 0 \end{bmatrix} \\$ ... $\begin{bmatrix} 0 & 1 \\ 1 & t \end{bmatrix} \\$ $\begin{bmatrix} 1 & t \\ 0 & 1 \end{bmatrix}$
The state transition matrix $\phi(t)$ of a system $\begin{bmatrix} x_1 \\ x_2 \end{bmatrix} = \begin{bmatrix} 0 & 1 \\ 0 & 0 \end{bmatrix} \begin{bmatrix} x_1 \\ x_2 \...
Milicevic3306
16.0k
points
70
views
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asked
Mar 26, 2018
Linear Algebra
gate2014-ec-4
linear-algebra
matrices
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–
0
votes
0
answers
57
GATE ECE 2014 Set 4 | Question: 47
Consider a transfer function $G_p(s) = \frac{ps^2+3ps-2}{s^2+(3+p)s+(2-p)}$ with $p$ a positive real parameter. The maximum value of $p$ until which $G_p$ remains stable is ___________.
Consider a transfer function $G_p(s) = \frac{ps^2+3ps-2}{s^2+(3+p)s+(2-p)}$ with $p$ a positive real parameter. The maximum value of $p$ until which $G_p$ remains stable...
Milicevic3306
16.0k
points
95
views
Milicevic3306
asked
Mar 26, 2018
Network Solution Methods
gate2014-ec-4
numerical-answers
network-solution-methods
transfer-function
+
–
0
votes
0
answers
58
GATE ECE 2014 Set 4 | Question: 48
The characteristic equation of a unity negative feedback system is $1+KG(s)=0$. The open loop transfer function $G(s)$ has one pole at $0$ and two poles at $-1$. The root locus of the system for varying $K$ is shown in the figure. The constant damping ... point A. The distance from the origin to point A is given as $0.5$. The value of $K$ at point A is ________.
The characteristic equation of a unity negative feedback system is $1+KG(s)=0$. The open loop transfer function $G(s)$ has one pole at $0$ and two poles at $-1$. The root...
Milicevic3306
16.0k
points
140
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Milicevic3306
asked
Mar 26, 2018
Network Solution Methods
gate2014-ec-4
numerical-answers
network-solution-methods
transfer-function
+
–
0
votes
0
answers
59
GATE ECE 2014 Set 4 | Question: 49
Consider a communication scheme where the binary valued signal $X$ satisfies $P\{X=+1\}=0.75$ and $P\{X=-1 \}=0.25$. The received signal $Y=X+Z$, where $Z$ is a Gaussian random variable with zero mean and variance ... $\sigma ^2$
Consider a communication scheme where the binary valued signal $X$ satisfies $P\{X=+1\}=0.75$ and $P\{X=-1 \}=0.25$. The received signal $Y=X+Z$, where $Z$ is a Gaussian ...
Milicevic3306
16.0k
points
110
views
Milicevic3306
asked
Mar 26, 2018
Vector Analysis
gate2014-ec-4
vector-analysis
gauss's-theorem
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–
0
votes
0
answers
60
GATE ECE 2014 Set 4 | Question: 50
Consider the $Z$-channel given in the figure. The input is $0$ or $1$ with equal probability. If the output is $0$, the probability that the input is also $0$ equals ___________
Consider the $Z$-channel given in the figure. The input is $0$ or $1$ with equal probability.If the output is $0$, the probability that the input is also $0$ equals _____...
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16.0k
points
84
views
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Mar 26, 2018
Probability and Statistics
gate2014-ec-4
numerical-answers
probability-and-statistics
probability
+
–
0
votes
0
answers
61
GATE ECE 2014 Set 4 | Question: 51
An M-level PSK modulation scheme is used to transmit independent binary digits over a band-pass channel with bandwidth $100$ kHz. The bit rate is $200$ kbps and the system characteristic is a raised-cosine spectrum with $100 \%$ excess bandwidth. The minimum value of M is __________
An M-level PSK modulation scheme is used to transmit independent binary digits over a band-pass channel with bandwidth $100$ kHz. The bit rate is $200$ kbps and the syste...
Milicevic3306
16.0k
points
116
views
Milicevic3306
asked
Mar 26, 2018
Communications
gate2014-ec-4
numerical-answers
communications
phase-shift-keying
+
–
0
votes
0
answers
62
GATE ECE 2014 Set 4 | Question: 52
Consider a discrete-time channel $Y=X +Z$, where the additive noise $Z$ is signal-dependent. In particular, given the transmitted symbol $ X \in \{-a , +a\}$ at any instant, the noise sample $Z$ is chosen independently from a Gaussian distribution with mean $\beta X$ and unit ... $\beta = -0.3$, the BER is closest to $10^{-7}$ $10^{-6}$ $10^{-4}$ $10^{-2}$
Consider a discrete-time channel $Y=X +Z$, where the additive noise $Z$ is signal-dependent. In particular, given the transmitted symbol $ X \in \{-a , +a\}$ at any insta...
Milicevic3306
16.0k
points
101
views
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asked
Mar 26, 2018
Vector Analysis
gate2014-ec-4
vector-analysis
gausss-theorem
+
–
0
votes
0
answers
63
GATE ECE 2014 Set 4 | Question: 53
The electric field (assumed to be one-dimensional) between two points $A$ and $B$ is shown. Let $\psi _A$ and $\psi _B$ be the electrostatic potentials at $A$ and $B$, respectively. The value of $\psi _B – \psi _A$ in Volts is ____________
The electric field (assumed to be one-dimensional) between two points $A$ and $B$ is shown. Let $\psi _A$ and $\psi _B$ be the electrostatic potentials at $A$ and $B$, re...
Milicevic3306
16.0k
points
78
views
Milicevic3306
asked
Mar 26, 2018
Electromagnetics
gate2014-ec-4
numerical-answers
electrostatics
electromagnetics
+
–
0
votes
0
answers
64
GATE ECE 2014 Set 4 | Question: 54
Gven $\overrightarrow{F} = z \hat{a}_x + x \hat{a}_y + y \hat{a}_z$. If $S$ represents the portion of the sphere $x^2 +y^2+z^2=1$ for $z \geq 0$, then $\int _s \nabla \times \overrightarrow{F} \cdot \overrightarrow{ds}$ is __________.
Gven $\overrightarrow{F} = z \hat{a}_x + x \hat{a}_y + y \hat{a}_z$. If $S$ represents the portion of the sphere $x^2 +y^2+z^2=1$ for $z \geq 0$, then $\int _s \nabla \ti...
Milicevic3306
16.0k
points
224
views
Milicevic3306
asked
Mar 26, 2018
Vector Analysis
gate2014-ec-4
numerical-answers
vector-analysis
+
–
0
votes
0
answers
65
GATE ECE 2014 Set 4 | Question: 55
If $\overrightarrow{E} = -(2y^3 – 3yz^2)\hat{x} – (6xy^2-3xz^2) \hat{y}+(6xyz) \hat{z}$ is the electric field in a source free region, a valid expression for the electrostatic potential is $xy^3 – yz^2$ $2xy^3-xyz^2$ $y^3+xyz^2$ $2xy^3-3xyz^2$
If $\overrightarrow{E} = -(2y^3 – 3yz^2)\hat{x} – (6xy^2-3xz^2) \hat{y}+(6xyz) \hat{z}$ is the electric field in a source free region, a valid expression for the ele...
Milicevic3306
16.0k
points
172
views
Milicevic3306
asked
Mar 26, 2018
Electromagnetics
gate2014-ec-4
electrostatics
electromagnetics
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