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2601
GATE ECE 2014 Set 1 | Question: 51
Let $Q(\sqrt{\gamma})$ be the BER of a BPSK system over an AWGN channel with two-sided noise power spectral density $N_{0}/2.$ The parameter $\gamma$ is a function of bit energy and noise power spectral density. A system with two independent and identical ... both the channels. If the BER of this system is $Q( b \sqrt{\gamma})$ then the value of $b$ is _____.
Let $Q(\sqrt{\gamma})$ be the BER of a BPSK system over an AWGN channel with two-sided noise power spectral density $N_{0}/2.$ The parameter $\gamma$ is a function of bit...
Milicevic3306
16.0k
points
146
views
Milicevic3306
asked
Mar 25, 2018
Communications
gate2014-ec-1
numerical-answers
communications
digital-modulation
basic-electrical-rhythm
+
–
0
votes
0
answers
2602
GATE ECE 2014 Set 2 | Question: 16
In a half-subtractor circuit with $X$ and $Y$ as inputs, the Borrow $(M)$ and Difference $(N = X – Y)$ are given by $M = X \oplus Y, \: \: \: N = XY$ $M = XY, \: \: \:N = X \oplus Y$ $M = \overline{ X}Y, \: \: \: N =X \oplus Y$ $M = X \overline{ Y}, \: \: \: N = \overline{X \oplus Y}$
In a half-subtractor circuit with $X$ and $Y$ as inputs, the Borrow $(M)$ and Difference $(N = X – Y)$ are given by$M = X \oplus Y, \: \: \: N = XY$$M = XY, \: \: \:N ...
Milicevic3306
16.0k
points
145
views
Milicevic3306
asked
Mar 26, 2018
Digital Circuits
gate2014-ec-2
digital-circuits
combinational-circuits
half-subtractor-circuit
+
–
0
votes
0
answers
2603
GATE ECE 2014 Set 1 | Question: 37
In the voltage regulator circuit shown in the figure, the op-amp is ideal. The BJT has $V_{BE} = 0.7\:V$ and $\beta = 100,$ and the zener voltage is $4.7\:V.$ For a regulated output of $9\:V,$ the value of $R$ (in $\Omega)$ is ______.
In the voltage regulator circuit shown in the figure, the op-amp is ideal. The BJT has $V_{BE} = 0.7\:V$ and $\beta = 100,$ and the zener voltage is $4.7\:V.$ For a regul...
Milicevic3306
16.0k
points
145
views
Milicevic3306
asked
Mar 25, 2018
Analog Circuits
gate2014-ec-1
numerical-answers
analog-circuits
op-amps
bipolar-junction-transistor
+
–
0
votes
0
answers
2604
GATE ECE 2014 Set 4 | Question: 19
The sequence $x[n] = 0.5^n \: u[n]$, where $u[n]$ is the unit step sequence, is convolved with itself to obtain $y[n]$. Then $\Sigma_{n= -\infty}^{+ \infty} y[n]$ is _________.
The sequence $x[n] = 0.5^n \: u[n]$, where $u[n]$ is the unit step sequence, is convolved with itself to obtain $y[n]$. Then $\Sigma_{n= -\infty}^{+ \infty} y[n]$ is ____...
Milicevic3306
16.0k
points
142
views
Milicevic3306
asked
Mar 26, 2018
Continuous-time Signals
gate2014-ec-4
numerical-answers
continuous-time-signals
to-be-tagged
+
–
0
votes
0
answers
2605
GATE ECE 2014 Set 3 | Question: 51
In a $PCM$ system, the signal $m(t)=\left \{\sin(100\pi t)+\cos(100\pi t) \right \}V$ is sampled at the Nyquist rate. The samples are processed by a uniform quantizer with step size $0.75$ $V$. The minimum data rate of the $PCM$ system in bits per second is ______.
In a $PCM$ system, the signal $m(t)=\left \{\sin(100\pi t)+\cos(100\pi t) \right \}V$ is sampled at the Nyquist rate. The samples are processed by a uniform quantizer wit...
Milicevic3306
16.0k
points
142
views
Milicevic3306
asked
Mar 26, 2018
Communications
gate2014-ec-3
numerical-answers
digital-communications
pulse-code-modulation-systems
communications
+
–
0
votes
0
answers
2606
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
2607
GATE ECE 2014 Set 4 | Question: 16
The output $(Y)$ of the circuit shown in the figure is $\overline{A} + \overline{B} +C$ $A + \overline{B} \cdot \overline{C} + A \cdot \overline{C}$ $\overline{A} +B+\overline{C}$ $A \cdot B \cdot \overline{C}$
The output $(Y)$ of the circuit shown in the figure is$\overline{A} + \overline{B} +C$$A + \overline{B} \cdot \overline{C} + A \cdot \overline{C}$$\overline{A} +B+\overli...
Milicevic3306
16.0k
points
141
views
Milicevic3306
asked
Mar 26, 2018
Digital Circuits
gate2014-ec-4
digital-circuits
+
–
0
votes
0
answers
2608
GATE ECE 2014 Set 1 | Question: 31
A $230\: V$ rms source supplies power to two loads connected in parallel. The first load draws $10 \: kW$ at $0.8$ leading power factor and the second one draws $10\: kVA$ at $0.8$ lagging power factor. The complex power delivered by the source is $(18 + j\:1.5)\:kVA$ $(18 – j\:1.5)\:kVA$ ‘$(20 + j\:1.5)\:kVA$ $(20 – j\:1.5)\:kVA$
A $230\: V$ rms source supplies power to two loads connected in parallel. The first load draws $10 \: kW$ at $0.8$ leading power factor and the second one draws $10\: kVA...
Milicevic3306
16.0k
points
142
views
Milicevic3306
asked
Mar 25, 2018
Continuous-time Signals
gate2014-ec-1
continuous-time-signals
maximum-power-transfer
+
–
0
votes
0
answers
2609
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
views
Milicevic3306
asked
Mar 26, 2018
Network Solution Methods
gate2014-ec-4
numerical-answers
network-solution-methods
transfer-function
+
–
0
votes
0
answers
2610
GATE ECE 2014 Set 2 | Question: 12
In the differential amplifier shown in the figure, the magnitude of the common-mode and differential-mode gains are $A_{CM}$ and $A_{d},$ respectively. If the resistance $R_{E}$ is increased, then $A_{cm}$ increases common-mode rejection ratio increases $A_{d}$ increases common-mode rejection ratio decreases
In the differential amplifier shown in the figure, the magnitude of the common-mode and differential-mode gains are $A_{CM}$ and $A_{d},$ respectively. If the resistance ...
Milicevic3306
16.0k
points
140
views
Milicevic3306
asked
Mar 26, 2018
Analog Circuits
gate2014-ec-2
analog-circuits
amplifier
+
–
0
votes
0
answers
2611
GATE ECE 2014 Set 1 | Question: 34
A BJT is biased in forward active mode. Assume $V_{EE} = 0.7\:V, \: kT/q = 25\:mV$ and reverse saturation current $I_{S} = 10^{-13}\:A.$ The transconductance of the BJT (in $mA/V$) is __________
A BJT is biased in forward active mode. Assume $V_{EE} = 0.7\:V, \: kT/q = 25\:mV$ and reverse saturation current $I_{S} = 10^{-13}\:A.$ The transconductance of the BJT ...
Milicevic3306
16.0k
points
140
views
Milicevic3306
asked
Mar 25, 2018
Analog Circuits
gate2014-ec-1
numerical-answers
bipolar-junction-transistor
analog-circuits
+
–
0
votes
0
answers
2612
GATE ECE 2013 | Question: 11
Consider a delta connection of resistors and its equivalent star connection as shown below. If all elements of the delta connection are scaled by a factor $k, \: k> 0,$ the elements of the corresponding star equivalent will be scaled by a factor of $k^{2}$ $k$ $1/k$ $\sqrt{k}$
Consider a delta connection of resistors and its equivalent star connection as shown below. If all elements of the delta connection are scaled by a factor $k, \: k 0,$ th...
Milicevic3306
16.0k
points
145
views
Milicevic3306
asked
Mar 25, 2018
Network Solution Methods
gate2013-ec
network-solution-methods
to-be-tagged
+
–
0
votes
0
answers
2613
GATE ECE 2014 Set 2 | Question: 9
An increase in the base recombination of a BJT will increase the common emitter dc current gain $\beta$ the breakdown voltage $BV_{CEO}$ the unity-gain cut-off frequency $f_{T}$ the transconductance $g_{m}$
An increase in the base recombination of a BJT will increasethe common emitter dc current gain $\beta$the breakdown voltage $BV_{CEO}$the unity-gain cut-off frequency $f_...
Milicevic3306
16.0k
points
139
views
Milicevic3306
asked
Mar 26, 2018
Analog Circuits
gate2014-ec-2
analog-circuits
bipolar-junction-transistor
+
–
0
votes
0
answers
2614
GATE ECE 2013 | Question: 42
In the circuit shown below, $Q_{1}$ has negligible collector-to-emitter saturation voltage and the diode drops negligible voltage across it under forward bias. If $V_{cc}$ is $+5 V, X$ and $Y$ are digital signals with $0\: V$ as logic $0$ and $V_{cc}$ as logic $1,$ then the Boolean expression for $Z$ is $XY$ $\overline{X}Y$ $X\overline{Y}$ $\overline{XY}$
In the circuit shown below, $Q_{1}$ has negligible collector-to-emitter saturation voltage and the diode drops negligible voltage across it under forward bias. If $V_{cc}...
Milicevic3306
16.0k
points
143
views
Milicevic3306
asked
Mar 25, 2018
Analog Circuits
gate2013-ec
analog-circuits
diodes
+
–
0
votes
0
answers
2615
GATE ECE 2014 Set 3 | Question: 32
In the circuit shown in the figure, the angular frequency $\omega$ (in rad/s), at which the Norton equivalent impedance as seen from terminals $b-b'$ is purely resistive, is ________.
In the circuit shown in the figure, the angular frequency $\omega$ (in rad/s), at which the Norton equivalent impedance as seen from terminals $b-b'$ is purely resistive,...
Milicevic3306
16.0k
points
137
views
Milicevic3306
asked
Mar 26, 2018
Electromagnetics
gate2014-ec-3
numerical-answers
electromagnetics
impedance
+
–
0
votes
0
answers
2616
GATE ECE 2014 Set 4 | Question: 35
Consider two BJTs biased at the same collector current with area $A_1=0.2 \mu m \times 0.2 \mu m$ and $A_2 = 300 \mu m \times 300 \mu m$. Assuming that all other device parameters are identical, $kT/q=26 \: mV$, the intrinsic carrier concentration ... $V_{BE1}-V_{BE2})$ is ________.
Consider two BJTs biased at the same collector current with area $A_1=0.2 \mu m \times 0.2 \mu m$ and $A_2 = 300 \mu m \times 300 \mu m$. Assuming that all other device p...
Milicevic3306
16.0k
points
135
views
Milicevic3306
asked
Mar 26, 2018
Analog Circuits
gate2014-ec-4
numerical-answers
analog-circuits
bipolar-junction-transistor
+
–
0
votes
0
answers
2617
GATE ECE 2014 Set 3 | Question: 40
If WL is the Word Line and BL the Bit Line, an SRAM cell is shown in
If WL is the Word Line and BL the Bit Line, an SRAM cell is shown in
Milicevic3306
16.0k
points
135
views
Milicevic3306
asked
Mar 26, 2018
Digital Circuits
gate2014-ec-3
digital-circuits
sram
+
–
0
votes
0
answers
2618
GATE ECE 2014 Set 1 | Question: 13
In the low-pass filter shown in the figure, for a cut-off frequency of $5\:kHz,$ the value of $R_{2}\:(\text{in}\:k\Omega)$ is ______.
In the low-pass filter shown in the figure, for a cut-off frequency of $5\:kHz,$ the value of $R_{2}\:(\text{in}\:k\Omega)$ is ______.
Milicevic3306
16.0k
points
135
views
Milicevic3306
asked
Mar 25, 2018
Analog Circuits
gate2014-ec-1
numerical-answers
analog-circuits
low-pass-filters
+
–
0
votes
0
answers
2619
GATE ECE 2014 Set 2 | Question: 30
A series LCR circuit is operated at a frequency different from its resonant frequency. The operating frequency is such that the current leads the supply voltage. The magnitude of current is half the value at resonance. If the values of L, C and R are $1$ H, $1$ F and $1 \Omega$, respectively, the operating angular frequency (in rad/s) is _________.
A series LCR circuit is operated at a frequency different from its resonant frequency. The operating frequency is such that the current leads the supply voltage. The magn...
Milicevic3306
16.0k
points
134
views
Milicevic3306
asked
Mar 26, 2018
Control Systems
gate2014-ec-2
numerical-answers
control-systems
frequency-response
+
–
0
votes
0
answers
2620
GATE ECE 2013 | Question: 14
For a periodic signal $v(t) = 30\sin100\:t + 10\cos300\:t + 6\sin(500\:t+\pi/4),$ the fundamental frequency in $rad/s$ is $100$ $300$ $500$ $1500$
For a periodic signal $v(t) = 30\sin100\:t + 10\cos300\:t + 6\sin(500\:t+\pi/4),$ the fundamental frequency in $rad/s$ is$100$$300$$500$$1500$
Milicevic3306
16.0k
points
139
views
Milicevic3306
asked
Mar 25, 2018
Continuous-time Signals
gate2013-ec
signals-and-systems
continuous-time-signals
+
–
0
votes
0
answers
2621
GATE ECE 2014 Set 3 | Question: 29
Let $X_{1},X_{2},$ and $X_{3}$ be independent and identically distributed random variables with the uniform distribution on $[0,1]$. The probability $P\left \{ X_{1}+X_{2}\leq X_{3}\right \}$ is _________.
Let $X_{1},X_{2},$ and $X_{3}$ be independent and identically distributed random variables with the uniform distribution on $[0,1]$. The probability $P\left \{ X_{1}+X_{2...
Milicevic3306
16.0k
points
133
views
Milicevic3306
asked
Mar 26, 2018
Probability and Statistics
gate2014-ec-3
probability-and-statistics
probability
independent-events
random-variable
uniform-distribution
numerical-answers
+
–
0
votes
0
answers
2622
GATE ECE 2013 | Question: 49
Bits $1$ and $0$ are transmitted with equal probability. At the receiver, the pdf of the respective received signals for both bits are as shown below. The optimum threshold to achieve minimum bit error rate $(BER)$ is $\frac{1}{2} \\$ $\frac{4}{5} \\$ $1\\$ $\frac{3}{2} $
Bits $1$ and $0$ are transmitted with equal probability. At the receiver, the pdf of the respective received signals for both bits are as shown below.The optimum threshol...
Milicevic3306
16.0k
points
138
views
Milicevic3306
asked
Mar 25, 2018
Communications
gate2013-ec
communications
digital-modulation
basic-electrical-rhythm
+
–
0
votes
0
answers
2623
GATE ECE 2014 Set 1 | Question: 22
In a code-division multiple access $(\text{CDMA})$ system with $N = 8$ chips, the maximum number of users who can be assigned mutually orthogonal signature sequences is ________.
In a code-division multiple access $(\text{CDMA})$ system with $N = 8$ chips, the maximum number of users who can be assigned mutually orthogonal signature sequences is _...
Milicevic3306
16.0k
points
133
views
Milicevic3306
asked
Mar 25, 2018
Communications
gate2014-ec-1
numerical-answers
code-division-multiple-access
communications
+
–
0
votes
0
answers
2624
GATE ECE 2013 | Question: 20
A polynomial $f(x) = a_{4}x^{4} + a_{3}x^{3} + a_{2}x^{2} + a_{1}x - a_{0}$ with all coefficients positive has no real roots no negative real root odd number of real roots at least one positive and one negative real root
A polynomial $f(x) = a_{4}x^{4} + a_{3}x^{3} + a_{2}x^{2} + a_{1}x - a_{0}$ with all coefficients positive hasno real rootsno negative real rootodd number of real roots a...
Milicevic3306
16.0k
points
137
views
Milicevic3306
asked
Mar 25, 2018
Calculus
gate2013-ec
calculus
polynomials
+
–
0
votes
0
answers
2625
GATE ECE 2014 Set 3 | Question: 47
The state equation of a second-order linear system is given by $\dot{x}(t)=Ax(t), \:\:\:\:\:\:\:\:x(0)=x_{0}$ For $x_{0}= \begin{bmatrix} 1\\ -1 \end{bmatrix},$ $x(t)= \begin{bmatrix} e^{-t}\\ -e^{-t} \end{bmatrix},$ ... $\begin{bmatrix} 5e^{-t}-3e^{-2t}\\ -5e^{-t}+6e^{-2t} \end{bmatrix}$
The state equation of a second-order linear system is given by$$\dot{x}(t)=Ax(t), \:\:\:\:\:\:\:\:x(0)=x_{0}$$For $x_{0}= \begin{bmatrix} 1\\ -1 \end{bmatrix},$ $x(t)...
Milicevic3306
16.0k
points
131
views
Milicevic3306
asked
Mar 26, 2018
Linear Algebra
gate2014-ec-3
linear-algebra
matrices
+
–
0
votes
0
answers
2626
GATE ECE 2014 Set 4 | Question: 24
For an antenna radiating in free space, the electric field at a distance of $1$ km is found to be $12 \: mV/m$. Given that intrinsic impedance of the free space is $120 \pi \: \Omega$, the magnitude of average power density due to this antenna at a distance of $2$ km from the antenna (in $nW/m^2$) is _________.
For an antenna radiating in free space, the electric field at a distance of $1$ km is found to be $12 \: mV/m$. Given that intrinsic impedance of the free space is $120 \...
Milicevic3306
16.0k
points
130
views
Milicevic3306
asked
Mar 26, 2018
Electromagnetics
gate2014-ec-4
numerical-answers
electromagnetics
impedance
+
–
0
votes
0
answers
2627
GATE ECE 2013 | Question: 26
Let $U$ and $V$ be two independent zero mean Gaussian random variables of variances $\dfrac{1}{4}$ and $\dfrac{1}{9}$ respectively. The probability $P(3V\geq 2U)$ is $4/9$ $1/2$ $2/3$ $5/9$
Let $U$ and $V$ be two independent zero mean Gaussian random variables of variances $\dfrac{1}{4}$ and $\dfrac{1}{9}$ respectively. The probability $P(3V\geq 2U)$ is$4/9$...
Milicevic3306
16.0k
points
136
views
Milicevic3306
asked
Mar 25, 2018
Probability and Statistics
gate2013-ec
probability-and-statistics
probability
random-variable
independent-events
+
–
0
votes
0
answers
2628
GATE ECE 2013 | Question: 52
A monochromatic plane wave of wavelength $\lambda = 600 \mu m$ is propagating in the direction as shown in the figure below. $\vec{E_{i}},\vec{E_{r}},$ and $\vec{E_{t}}$ ...
A monochromatic plane wave of wavelength $\lambda = 600 \mu m$ is propagating in the direction as shown in the figure below. $\vec{E_{i}},\vec{E_{r}},$ and $\vec{E_{t}}$ ...
Milicevic3306
16.0k
points
136
views
Milicevic3306
asked
Mar 25, 2018
Vector Analysis
gate2013-ec
vector-analysis
+
–
0
votes
0
answers
2629
GATE ECE 2014 Set 3 | Question: 52
A binary random variable $X$ takes the value of $1$ with probability $1/3$. $X$ is input to a cascade of $2$ independent identical binary symmetric channels (BSCs) each with crossover probability $1/2$. The output of BSCs are the random variables $Y_{1}$ and $Y_{2}$ as shown in the figure. The value of $H( Y_{1} )+H( Y_{2} )$ in bits is ______.
A binary random variable $X$ takes the value of $1$ with probability $1/3$. $X$ is input to a cascade of $2$ independent identical binary symmetric channels (BSCs) each w...
Milicevic3306
16.0k
points
130
views
Milicevic3306
asked
Mar 26, 2018
Probability and Statistics
gate2014-ec-3
probability-and-statistics
probability
numerical-answers
+
–
0
votes
0
answers
2630
GATE ECE 2013 | Question: 28
In the circuit shown below, if the source voltage $V_S = 100\angle 53.13^{\circ}\: V$ then the Thevenin’s equivalent voltage in Volts as seen by the load resistance $R_{L}$ is $100\angle 90^{\circ}$ $800\angle 0^{\circ}$ $800\angle 90^{\circ}$ $100\angle 60^{\circ}$
In the circuit shown below, if the source voltage $V_S = 100\angle 53.13^{\circ}\: V$ then the Thevenin’s equivalentvoltage in Volts as seen by the load resistance $R_{...
Milicevic3306
16.0k
points
135
views
Milicevic3306
asked
Mar 25, 2018
Network Solution Methods
gate2013-ec
thevenin-theorem
network-solution-methods
+
–
0
votes
0
answers
2631
GATE ECE 2014 Set 1 | Question: 19
A continuous, linear time-invariant filter has an impulse response $h(t)$ described by $h(t) = \begin{cases}3 & \text{for } 0 \leq t \leq 3 \\ 0 & \text{otherwise} \end{cases}$ When a constant input of value $5$ is applied to this filter, the steady state output is ________.
A continuous, linear time-invariant filter has an impulse response $h(t)$ described by $$h(t) = \begin{cases}3 & \text{for } 0 \leq t \leq 3 \\ 0 & \text{otherwise} \end{...
Milicevic3306
16.0k
points
129
views
Milicevic3306
asked
Mar 25, 2018
Network Solution Methods
gate2014-ec-1
numerical-answers
steady-state
network-solution-methods
+
–
0
votes
0
answers
2632
GATE ECE 2012 | Question: 5
The electric field of a uniform plane electromagnetic wave in free space, along the positive $x$ direction, is given by $\overrightarrow{E}=10(\hat{a}_y+j\hat{a}_z)e^{-j\:25x}$. The frequency and polarization of the wave, respectively, are $1.2\:GHz$ and left circular $4\:Hz$ and left circular $1.2\:GHz$ and right circular $4\:Hz$ and right circular
The electric field of a uniform plane electromagnetic wave in free space, along the positive $x$ direction, is given by $\overrightarrow{E}=10(\hat{a}_y+j\hat{a}_z)e^{-j\...
Milicevic3306
16.0k
points
153
views
Milicevic3306
asked
Mar 25, 2018
Electromagnetics
gate2012-ec
electromagnetics
+
–
0
votes
0
answers
2633
GATE ECE 2013 | Question: 43
A voltage $1000 \sin\omega t\:\: \text{Volts}$ is applied across $YZ.$ Assuming ideal diodes, the voltage measured across $WX$ in $\text{Volts},$ is $\sin \omega t$ $(\sin \omega t \:+ \mid \sin \omega t \mid)/2$ $(\sin \omega t \: - \mid \sin \omega t \mid)/2$ $0$ for all $t$
A voltage $1000 \sin\omega t\:\: \text{Volts}$ is applied across $YZ.$ Assuming ideal diodes, the voltage measured across $WX$ in $\text{Volts},$ is $\sin \omega t$$(\sin...
Milicevic3306
16.0k
points
133
views
Milicevic3306
asked
Mar 25, 2018
Analog Circuits
gate2013-ec
analog-circuits
diodes
+
–
0
votes
0
answers
2634
GATE ECE 2014 Set 1 | Question: 53
In spherical coordinates, let $\hat{a_{\theta}},\hat{a_{\phi}}$ denote unit vectors along the $\theta,\phi$ directions. $\textbf{E} = \dfrac{100}{r}\sin\theta \cos (\omega t - \beta r)\hat{a_{\theta}}\: V/m$ ... free space. The average power $(W)$ crossing the hemispherical shell located at $r = 1\:km,0\leq \theta \leq \pi/2$ is ______.
In spherical coordinates, let $\hat{a_{\theta}},\hat{a_{\phi}}$ denote unit vectors along the $\theta,\phi$ directions.$$\textbf{E} = \dfrac{100}{r}\sin\theta \cos (\omeg...
Milicevic3306
16.0k
points
127
views
Milicevic3306
asked
Mar 25, 2018
Vector Analysis
gate2014-ec-1
numerical-answers
vector-analysis
+
–
0
votes
0
answers
2635
GATE ECE 2014 Set 1 | Question: 35
The doping concentrations on the $p$-side and $n$-side of a silicon diode are $1\times 10^{16}\:cm^{-3}$ and $1\times 10^{17}\:cm^{-3},$ respectively. A forward bias of $0.3\:V$ is applied to the diode. At $T = 300\:K,$ ... $1\times 10^{16}\:cm^{-3}$ $1\times 10^{17}\:cm^{-3}$ $2.25\times 10^{6}\:cm^{-3}$
The doping concentrations on the $p$-side and $n$-side of a silicon diode are $1\times 10^{16}\:cm^{-3}$ and $1\times 10^{17}\:cm^{-3},$ respectively. A forward bias of $...
Milicevic3306
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Electronic Devices
gate2014-ec-1
electronic-devices
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2636
GATE ECE 2014 Set 3 | Question: 53
Given the vector $\textbf{A}= ( \cos x ) ( \sin y )\hat{a_{x}}+( \sin x )( \cos y )\hat{a_{y}},$ where $\hat{a_{x}},$ $\hat{a_{y}}$ denote unit vectors along $x$, $y$ directions, respectively. The magnitude of curl of $\textbf{A}$ is __________
Given the vector $\textbf{A}= ( \cos x ) ( \sin y )\hat{a_{x}}+( \sin x )( \cos y )\hat{a_{y}},$ where $\hat{a_{x}},$ $\hat{a_{y}}$ denote unit vectors along $x$, $y$ di...
Milicevic3306
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Mar 26, 2018
Vector Analysis
gate2014-ec-3
numerical-answers
vector-analysis
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0
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0
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2637
GATE ECE 2014 Set 2 | Question: 28
The maximum value of the determinant among all $2 \times 2$ real symmetric matrices with trace $14$ is __________.
The maximum value of the determinant among all $2 \times 2$ real symmetric matrices with trace $14$ is __________.
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Mar 26, 2018
Linear Algebra
gate2014-ec-2
numerical-answers
linear-algebra
matrices
determinant
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0
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2638
GATE ECE 2013 | Question: 41
In the circuit shown below the $\text{op-amps}$ are ideal. Then $V_{\text{out}}$ in $\text{Volts}$ is $4$ $6$ $8$ $10$
In the circuit shown below the $\text{op-amps}$ are ideal. Then $V_{\text{out}}$ in $\text{Volts}$ is$4$$6$$8$$10$
Milicevic3306
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Analog Circuits
gate2013-ec
analog-circuits
electronic-devices
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0
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0
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2639
GATE ECE 2014 Set 2 | Question: 17
As FIR system is described by the system function $ H(z) = 1 + \frac{7}{2} z^{-1} + \frac{3}{2}z^{-2}$. The system is maximum phase minimum phase mixed phase zero phase
As FIR system is described by the system function $$ H(z) = 1 + \frac{7}{2} z^{-1} + \frac{3}{2}z^{-2}$$. The system ismaximum phaseminimum phasemixed phasezero phase
Milicevic3306
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Digital Circuits
gate2014-ec-2
digital-circuits
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2640
GATE ECE 2014 Set 4 | Question: 27
Parcels from sender S to receiver R pass sequentially through two-post offices. Each post-office has a probability $\frac{1}{5}$ of losing an incoming parcel, independently of all other parcels. Given that a parcel is lost, the probability that it was lost by the second post office is _________
Parcels from sender S to receiver R pass sequentially through two-post offices. Each post-office has a probability $\frac{1}{5}$ of losing an incoming parcel, independent...
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16.0k
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124
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Mar 26, 2018
Probability and Statistics
gate2014-ec-4
numerical-answers
probability-and-statistics
probability
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