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Recent questions tagged numerical-answers
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361
GATE ECE 2014 Set 2 | Question: 55
For a rectangular waveguide of internal dimension $a\times b \: (a> b)$, the cut-off frequency for the $TE_{11}$ mode is the arithmetic mean of the cut-off frequencies for $TE_{10}$ mode and $TE_{20}$ mode. If $a= \sqrt{5}$ cm, the value of $b$ (in cm) is ______.
For a rectangular waveguide of internal dimension $a\times b \: (a b)$, the cut-off frequency for the $TE_{11}$ mode is the arithmetic mean of the cut-off frequencies for...
Milicevic3306
16.0k
points
77
views
Milicevic3306
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Mar 26, 2018
Electromagnetics
gate2014-ec-2
numerical-answers
electromagnetics
waveguides
+
–
0
votes
0
answers
362
GATE ECE 2014 Set 1 | GA Question: 5
What is the next number in the series? $12$ $35$ $81$ $173$ $357$ ________,
What is the next number in the series?$12$ $35$ $81$ $173$ $357$ ________,
Milicevic3306
16.0k
points
86
views
Milicevic3306
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Mar 25, 2018
Quantitative Aptitude
gate2014-ec-1
numerical-ability
sequence-series
numerical-answers
+
–
0
votes
0
answers
363
GATE ECE 2014 Set 1 | GA Question: 8
A train that is $280$ meters long, traveling at a uniform speed, crosses a platform in $60$ seconds and passes a man standing on the platform in $20$ seconds. What is the length of the platform in meters?
A train that is $280$ meters long, traveling at a uniform speed, crosses a platform in $60$ seconds and passes a man standing on the platform in $20$ seconds. What is the...
Milicevic3306
16.0k
points
79
views
Milicevic3306
asked
Mar 25, 2018
Quantitative Aptitude
gate2014-ec-1
numerical-ability
speed-time-distance
numerical-answers
+
–
1
votes
1
answer
364
GATE ECE 2014 Set 1 | Question: 2
In a housing society, half of the families have a single child per family, while the remaining half have two children per family. The probability that a child picked at random, has a sibling is ________.
In a housing society, half of the families have a single child per family, while the remaining half have two children per family. The probability that a child picked at r...
Milicevic3306
16.0k
points
707
views
Milicevic3306
asked
Mar 25, 2018
Probability and Statistics
gate2014-ec-1
numerical-answers
probability-and-statistics
probability
+
–
0
votes
0
answers
365
GATE ECE 2014 Set 1 | Question: 4
A real $(4 \times 4)$ matrix $A$ satisfies the equation $A^{2} = I$, where $I$ is the $(4 \times 4)$ identity matrix. The positive eigen value of $A$ is ______.
A real $(4 \times 4)$ matrix $A$ satisfies the equation $A^{2} = I$, where $I$ is the $(4 \times 4)$ identity matrix. The positive eigen value of $A$ is ______.
Milicevic3306
16.0k
points
144
views
Milicevic3306
asked
Mar 25, 2018
Linear Algebra
gate2014-ec-1
linear-algebra
matrices
eigen-values
numerical-answers
+
–
0
votes
0
answers
366
GATE ECE 2014 Set 1 | Question: 5
Let $X_{1},X_{2},$ and $X_{3}$ be independent and identically distributed random variables with the uniform distribution on $[0,1].$ The probability $P\{X_{1}\: \text{is the largest}\}$ 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\{X_{1}\: \text{is ...
Milicevic3306
16.0k
points
99
views
Milicevic3306
asked
Mar 25, 2018
Probability and Statistics
gate2014-ec-1
numerical-answers
probability-and-statistics
probability
uniform-distribution
+
–
0
votes
0
answers
367
GATE ECE 2014 Set 1 | Question: 8
When the optical power incident on a photodiode is $10\:\mu W$ and the responsivity is $0.8\: A/ W,$ the photocurrent generated $(\text{in} \:\mu A)$ is_______.
When the optical power incident on a photodiode is $10\:\mu W$ and the responsivity is $0.8\: A/ W,$ the photocurrent generated $(\text{in} \:\mu A)$ is_______.
Milicevic3306
16.0k
points
94
views
Milicevic3306
asked
Mar 25, 2018
Electronic Devices
gate2014-ec-1
numerical-answers
electronic-devices
+
–
0
votes
0
answers
368
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
118
views
Milicevic3306
asked
Mar 25, 2018
Analog Circuits
gate2014-ec-1
numerical-answers
analog-circuits
low-pass-filters
+
–
0
votes
0
answers
369
GATE ECE 2014 Set 1 | Question: 16
Five JK flip-flops are cascaded to form the circuit shown in Figure. Clock pulses at a frequency of $1\: MHz$ are applied as shown. The frequency $(\text{in}\:kHz)$ of the waveform at $Q3$ is ________.
Five JK flip-flops are cascaded to form the circuit shown in Figure. Clock pulses at a frequency of $1\: MHz$ are applied as shown. The frequency $(\text{in}\:kHz)$ of th...
Milicevic3306
16.0k
points
221
views
Milicevic3306
asked
Mar 25, 2018
Number Representations
gate2014-ec-1
numerical-answers
flip-flops
digital-circuits
+
–
0
votes
0
answers
370
GATE ECE 2014 Set 1 | Question: 18
Consider two real valued signals, $x(t)$ band-limited to $[-500\:Hz,500\:Hz]$ and $y(t)$ band-limited to $[-1\:kHz,1\:kHz].$ For $z(t) = x(t)\cdot y(t),$ the Nyquist sampling frequency (in $kHz$) is _______.
Consider two real valued signals, $x(t)$ band-limited to $[-500\:Hz,500\:Hz]$ and $y(t)$ band-limited to $[-1\:kHz,1\:kHz].$ For $z(t) = x(t)\cdot y(t),$ the Nyquist samp...
Milicevic3306
16.0k
points
115
views
Milicevic3306
asked
Mar 25, 2018
Control Systems
gate2014-ec-1
numerical-answers
nyquist
control-systems
+
–
0
votes
0
answers
371
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 $$h(t) = \begin{cases}3 & \text{for } 0 \leq t \leq 3 \\ 0 & \text{otherwise} \end{...
Milicevic3306
16.0k
points
114
views
Milicevic3306
asked
Mar 25, 2018
Network Solution Methods
gate2014-ec-1
numerical-answers
steady-state
network-solution-methods
+
–
0
votes
0
answers
372
GATE ECE 2014 Set 1 | Question: 20
The forward path transfer function of a unity negative feedback system is given by $G(s) = \frac{K}{(s+2)(s-1)}$. The value of $K$ which will place both the poles of the closed-loop system at the same location, is _______.
The forward path transfer function of a unity negative feedback system is given by $$G(s) = \frac{K}{(s+2)(s-1)}$$. The value of $K$ which will place both the poles of th...
Milicevic3306
16.0k
points
89
views
Milicevic3306
asked
Mar 25, 2018
Network Solution Methods
gate2014-ec-1
numerical-answers
transfer-function
network-solution-methods
+
–
0
votes
0
answers
373
GATE ECE 2014 Set 1 | Question: 22
In a code-division multiple access $(\text{CDMA})$ system with $N = 8$ chips, the maximum number of users who can be assigned mutually orthogonal signature sequences is ________.
In a code-division multiple access $(\text{CDMA})$ system with $N = 8$ chips, the maximum number of users who can be assigned mutually orthogonal signature sequences is _...
Milicevic3306
16.0k
points
120
views
Milicevic3306
asked
Mar 25, 2018
Communications
gate2014-ec-1
numerical-answers
code-division-multiple-access
communications
+
–
0
votes
0
answers
374
GATE ECE 2014 Set 1 | Question: 23
The capacity of a Binary Symmetric Channel $\text{(BSC)}$ with cross-over probability $0.5$ is ________.
The capacity of a Binary Symmetric Channel $\text{(BSC)}$ with cross-over probability $0.5$ is ________.
Milicevic3306
16.0k
points
85
views
Milicevic3306
asked
Mar 25, 2018
Others
gate2014-ec-1
numerical-answers
+
–
0
votes
0
answers
375
GATE ECE 2014 Set 1 | Question: 28
The volume under the surface $z(x,y) = x + y$ and above the triangle in the $x – y$ plane defined by $\{0 \leq y \leq x \: \text{and} \: 0 \leq x \leq 12\}$ is _______.
The volume under the surface $z(x,y) = x + y$ and above the triangle in the $x – y$ plane defined by $\{0 \leq y \leq x \: \text{and} \: 0 \leq x \leq 12\}$ is _______....
Milicevic3306
16.0k
points
108
views
Milicevic3306
asked
Mar 25, 2018
Vector Analysis
gate2014-ec-1
numerical-answers
vector-analysis
+
–
0
votes
0
answers
376
GATE ECE 2014 Set 1 | Question: 29
Consider the matrix ... $\alpha$ is a non-negative real number. The value of $\alpha$ for which $\text{det(P)} = 0$ is _______.
Consider the matrix $$J_{6} = \begin{bmatrix} 0&0 &0 &0 &0 &1 \\ 0& 0& 0& 0& 1&0 \\ 0& 0& 0& 1& 0&0 \\ 0&0 & 1& 0&0 &0 \\0 &1 &0 &0 &0 &0 \\1 &0 &0 &0 & 0& 0\end{bmatrix}...
Milicevic3306
16.0k
points
213
views
Milicevic3306
asked
Mar 25, 2018
Linear Algebra
gate2014-ec-1
numerical-answers
linear-algebra
matrices
determinant
+
–
0
votes
0
answers
377
GATE ECE 2014 Set 1 | Question: 30
A $Y$-network has resistances of $10\Omega$ each in two of its arms, while the third arm has a resistance of $11\Omega.$ In the equivalent $\Delta$ – network, the lowest value (in $\Omega)$ among the three resistances is ______.
A $Y$-network has resistances of $10\Omega$ each in two of its arms, while the third arm has a resistance of $11\Omega.$ In the equivalent $\Delta$ – network, the lowe...
Milicevic3306
16.0k
points
105
views
Milicevic3306
asked
Mar 25, 2018
Network Solution Methods
gate2014-ec-1
numerical-answers
network-solution-methods
+
–
0
votes
0
answers
378
GATE ECE 2014 Set 1 | Question: 32
A periodic variable $x$ is shown in the figure as a function of time. The root-mean-square (rms) value of $x$ is _______.
A periodic variable $x$ is shown in the figure as a function of time. The root-mean-square (rms) value of $x$ is _______.
Milicevic3306
16.0k
points
78
views
Milicevic3306
asked
Mar 25, 2018
Analog Circuits
gate2014-ec-1
numerical-answers
analog-circuits
rms
+
–
0
votes
0
answers
379
GATE ECE 2014 Set 1 | Question: 33
In the circuit shown in the figure, the value of capacitor $C\:(\text{in}\: mF)$ needed to have critically damped response $i(t)$ is ____.
In the circuit shown in the figure, the value of capacitor $C\:(\text{in}\: mF)$ needed to have critically damped response $i(t)$ is ____.
Milicevic3306
16.0k
points
70
views
Milicevic3306
asked
Mar 25, 2018
Electronic Devices
gate2014-ec-1
numerical-answers
electronic-devices
+
–
0
votes
0
answers
380
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
131
views
Milicevic3306
asked
Mar 25, 2018
Analog Circuits
gate2014-ec-1
numerical-answers
bipolar-junction-transistor
analog-circuits
+
–
0
votes
0
answers
381
GATE ECE 2014 Set 1 | Question: 36
A depletion type $N$-channel MOSFET is biased in its linear region for use as a voltage controlled resistor. Assume threshold voltage $V_{TH} = -0.5\:V,V_{GS} = 2.0\:V,V_{DS} = 5\:V,\:W/L = 100,C_{ox} = 10^{-8}\:F/cm^{2}$ and $\mu_{n} = 800\:cm^{2}/V$-$s.$ The value of the resistance of the voltage controlled resistor (in $\Omega)$ is _______.
A depletion type $N$-channel MOSFET is biased in its linear region for use as a voltage controlled resistor. Assume threshold voltage $V_{TH} = -0.5\:V,V_{GS} = 2.0\:V,V_...
Milicevic3306
16.0k
points
63
views
Milicevic3306
asked
Mar 25, 2018
Analog Circuits
gate2014-ec-1
numerical-answers
analog-circuits
mosfet
+
–
0
votes
0
answers
382
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
130
views
Milicevic3306
asked
Mar 25, 2018
Analog Circuits
gate2014-ec-1
numerical-answers
analog-circuits
op-amps
bipolar-junction-transistor
+
–
0
votes
0
answers
383
GATE ECE 2014 Set 1 | Question: 39
For the amplifier shown in the figure, the BJT parameters are $V_{BE} = 0.7\:V, \beta = 200,$ and thermal voltage $V_{T} = 25\:mV.$ The voltage gain $(v_{0}/v_{i})$ of the amplifier is ______.
For the amplifier shown in the figure, the BJT parameters are $V_{BE} = 0.7\:V, \beta = 200,$ and thermal voltage $V_{T} = 25\:mV.$ The voltage gain $(v_{0}/v_{i})$ of th...
Milicevic3306
16.0k
points
106
views
Milicevic3306
asked
Mar 25, 2018
Analog Circuits
gate2014-ec-1
numerical-answers
analog-circuits
bjt-and-mosfet-amplifiers
+
–
0
votes
0
answers
384
GATE ECE 2014 Set 1 | Question: 44
Consider a discrete time periodic signal $x[n] = \sin(\frac{\pi n}{s}).$ Let $a_{k}$ be the complex Fourier series coefficients of $x[n].$ The coefficients $\{a_{k}\}$ are non-zero when $k = Bm\: \pm 1,$ where $m$ is any integer. The value of $B$ is ______.
Consider a discrete time periodic signal $x[n] = \sin(\frac{\pi n}{s}).$ Let $a_{k}$ be the complex Fourier series coefficients of $x[n].$ The coefficients $\{a_{k}\}$ ar...
Milicevic3306
16.0k
points
78
views
Milicevic3306
asked
Mar 25, 2018
Continuous-time Signals
gate2014-ec-1
numerical-answers
discrete-time-signals
continuous-time-signals
+
–
0
votes
0
answers
385
GATE ECE 2014 Set 1 | Question: 47
The phase margin in degrees of $G(s) = \dfrac{10}{(s+0.1)(s+1)(s+10)}$ calculated using the asymptotic Bode plot is ______.
The phase margin in degrees of $G(s) = \dfrac{10}{(s+0.1)(s+1)(s+10)}$ calculated using the asymptotic Bode plot is ______.
Milicevic3306
16.0k
points
95
views
Milicevic3306
asked
Mar 25, 2018
Control Systems
gate2014-ec-1
numerical-answers
bode-and-root-locus-plots
control-systems
+
–
0
votes
0
answers
386
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
135
views
Milicevic3306
asked
Mar 25, 2018
Communications
gate2014-ec-1
numerical-answers
communications
digital-modulation
basic-electrical-rhythm
+
–
0
votes
0
answers
387
GATE ECE 2014 Set 1 | Question: 52
A fair coin is tossed repeatedly until a ‘Head’ appears for the first time. Let $L$ be the number of tosses to get this first ‘Head’. The entropy $H(L)$ in bits is _____.
A fair coin is tossed repeatedly until a ‘Head’ appears for the first time. Let $L$ be the number of tosses to get this first ‘Head’. The entropy $H(L)$ in bits i...
Milicevic3306
16.0k
points
104
views
Milicevic3306
asked
Mar 25, 2018
Communications
gate2014-ec-1
numerical-answers
entropy
communications
+
–
0
votes
0
answers
388
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
123
views
Milicevic3306
asked
Mar 25, 2018
Vector Analysis
gate2014-ec-1
numerical-answers
vector-analysis
+
–
0
votes
0
answers
389
GATE ECE 2014 Set 1 | Question: 55
The input impedance of a $\dfrac{\lambda}{8}$ section of a lossless transmission line of characteristic impedance $50\: \Omega$ is found to be real when the other end is terminated by a load $Z_{L} (=R + jX)\Omega.$ If $X$ is $30\:\Omega ,$ the value of $R ( \text{in} \:\Omega )$ is _______.
The input impedance of a $\dfrac{\lambda}{8}$ section of a lossless transmission line of characteristic impedance $50\: \Omega$ is found to be real when the other end is...
Milicevic3306
16.0k
points
82
views
Milicevic3306
asked
Mar 25, 2018
Electromagnetics
gate2014-ec-1
numerical-answers
electromagnetics
impedance
+
–
0
votes
0
answers
390
GATE ECE 2018 | Question: 55
Let $X\left[ k \right ] = k + 1,0\leq k\leq 7$ be $8$-point $\:\text{DFT}\:$ of a sequence $x[n]$. where $X\left [ k \right ]=\sum_{n=0}^{N-1}x \left [ n \right ]e^{-j2\pi nk/N}$. The value (correct to two decimal places) of $\sum_{n=0}^{3}x \left [ 2n \right ]$ is ________.
Let $X\left[ k \right ] = k + 1,0\leq k\leq 7$ be $8$-point $\:\text{DFT}\:$ of a sequence $x[n]$.where $X\left [ k \right ]=\sum_{n=0}^{N-1}x \left [ n \right ]e^{-j2\pi...
gatecse
1.6k
points
108
views
gatecse
asked
Feb 19, 2018
Calculus
gate2018-ec
numerical-answers
calculus
+
–
0
votes
0
answers
391
GATE ECE 2018 | Question: 47
The logic gates shown in the digital circuit below use strong pull-down $\text{nMOS}$ transistors for LOW logic level at the outputs. When the pull-downs are off, high-value resistors set the output logic levels to HIGH (i.e. the pull-ups are weak). Note that some nodes ... values of $X_{3}X_{2}X_{1}X_{0}$ (out of the $16$ possible values) that give $Y=1$ is ________.
The logic gates shown in the digital circuit below use strong pull-down $\text{nMOS}$ transistors for LOW logic level at the outputs. When the pull-downs are off, high-va...
gatecse
1.6k
points
235
views
gatecse
asked
Feb 19, 2018
Number Representations
gate2018-ec
numerical-answers
digital-circuits
combinational-circuits
logic-gates
+
–
0
votes
0
answers
392
GATE ECE 2018 | Question: 46
In the circuit shown below, a positive edge-triggered $D$ Flip-Flop is used for sampling input data $D_{in}$ using clock $CK$. The XOR gate output $3.3$ volts for logic HIGH and $0$ volts for logic LOW levels. The data bit and clock periods are ... period is $0.3$, the average value (in volts, accurate to two decimal places) of the voltage at node $X$, is _________.
In the circuit shown below, a positive edge-triggered $D$ Flip-Flop is used for sampling input data $D_{in}$ using clock $CK$. The XOR gate output $3.3$ volts for logic H...
gatecse
1.6k
points
214
views
gatecse
asked
Feb 19, 2018
Number Representations
gate2018-ec
numerical-answers
digital-circuits
sequential-circuit
flip-flops
+
–
0
votes
0
answers
393
GATE ECE 2018 | Question: 52
Let $r=x^{2}+y-z$ and $z^{3}-xy+yz+y^{3}=1.$ Assume that $x$ and $y$ are independent variables. At $\left( x,y,z \right)=\left ( 2,-1,1 \right ),$ the value (correct to two decimal places) of $\dfrac{\partial r}{\partial x}$ is _________ .
Let $r=x^{2}+y-z$ and $z^{3}-xy+yz+y^{3}=1.$ Assume that $x$ and $y$ are independent variables. At $\left( x,y,z \right)=\left ( 2,-1,1 \right ),$ the value (correct to t...
gatecse
1.6k
points
108
views
gatecse
asked
Feb 19, 2018
Calculus
gate2018-ec
numerical-answers
calculus
partial-derivatives
+
–
0
votes
0
answers
394
GATE ECE 2018 | Question: 51
The contour $C$ given below is on the complex plane $z=x+j y,$ where $j=\sqrt{-1}.$ The value of the integral $\displaystyle{}\dfrac{1}{\pi j}\oint _{C}\dfrac{dz}{z^{2}-1}$ is _______.
The contour $C$ given below is on the complex plane $z=x+j y,$ where $j=\sqrt{-1}.$ The value of the integral $\disp...
gatecse
1.6k
points
396
views
gatecse
asked
Feb 19, 2018
Complex Analysis
gate2018-ec
numerical-answers
complex-analysis
+
–
0
votes
0
answers
395
GATE ECE 2018 | Question: 50
The position of a particle $y\left ( t \right )$ is described by the differential equation: $\frac{d^{2}y}{dt^{2}}=-\frac{dy}{dt}-\frac{5y}{4}.$ The initial conditions are $y\left ( 0 \right )=1$ and $\frac{dy}{dt}\mid_{t=0}=0$. The position (accurate to two decimal places) of the particle at $t=\pi$ is _________.
The position of a particle $y\left ( t \right )$ is described by the differential equation:$$\frac{d^{2}y}{dt^{2}}=-\frac{dy}{dt}-\frac{5y}{4}.$$The initial conditions ar...
gatecse
1.6k
points
111
views
gatecse
asked
Feb 19, 2018
Differential Equations
gate2018-ec
numerical-answers
differential-equations
second-order-differential-equation
+
–
0
votes
1
answer
396
GATE ECE 2018 | Question: 48
The cutoff frequency of $TE_{01}$ mode of an air filled rectangular waveguide having inner dimensions $a\:\text{cm} \: \times \: b\: \text{cm}\:\left ( a> b \right )$ is twice that of the dominant $TE_{10}$ mode. When the waveguide is operated ... the guide wavelength is found to be $4\:\text{cm}$. The value of $b$ (in cm, correct to two decimal places) is ________.
The cutoff frequency of $TE_{01}$ mode of an air filled rectangular waveguide having inner dimensions $a\:\text{cm} \: \times \: b\: \text{cm}\:\left ( a b \right )$ is t...
gatecse
1.6k
points
160
views
gatecse
asked
Feb 19, 2018
Electromagnetics
gate2018-ec
numerical-answers
electromagnetics
waveguides
+
–
0
votes
0
answers
397
GATE ECE 2018 | Question: 49
A uniform plane wave traveling in free space and having the electric field ... ) as shown in the figure and there is no reflected wave. The relative permittivity (correct to two decimal places) of the dielectric medium is __________.
A uniform plane wave traveling in free space and having the electric field$$\overrightarrow{E} =\left ( \sqrt{2}\:\hat{a}_{x} -\hat{a}_{z}\right )cos\left [ 6\sqrt{3}\: \...
gatecse
1.6k
points
159
views
gatecse
asked
Feb 19, 2018
Electromagnetics
gate2018-ec
numerical-answers
electromagnetics
plane-waves-and-properties
+
–
0
votes
0
answers
398
GATE ECE 2018 | Question: 53
Consider the network shown below with $R_{1}=1\:\Omega,R_{2}=2\:\Omega$ and $R_{3}=3\:\Omega.$ The network is connected to a constant voltage source of $11\:V$. The magnitude of the current (in amperes, accurate to two decimal places ) through the source is _________.
Consider the network shown below with $R_{1}=1\:\Omega,R_{2}=2\:\Omega$ and $R_{3}=3\:\Omega.$ The network is connected to a constant voltage source of $11\:V$. ...
gatecse
1.6k
points
144
views
gatecse
asked
Feb 19, 2018
Network Solution Methods
gate2018-ec
numerical-answers
network-solution-methods
+
–
0
votes
0
answers
399
GATE ECE 2018 | Question: 54
A band limited low-pass signal $x(t)$ of bandwidth $5\:kHz$ is sampled at a sampling rate $f_{s}$.The signal $x(t)$ is reconstructed using the reconstruction filter $H(f)$ whose magnitude response is shown below: The minimum sampling rate $f_{s}(\text{in}\: kHz)$ for perfect reconstruction of $x(t)$ is ________.
A band limited low-pass signal $x(t)$ of bandwidth $5\:kHz$ is sampled at a sampling rate $f_{s}$.The signal $x(t)$ is reconstructed using the reconstruction filter $H(f)...
gatecse
1.6k
points
91
views
gatecse
asked
Feb 19, 2018
Continuous-time Signals
gate2018-ec
numerical-answers
continuous-time-signals
signals-and-systems
sampling-theorem
+
–
0
votes
0
answers
400
GATE ECE 2018 | Question: 40
A random variable $X$ takes values $-0.5$ and $0.5$ with probabilities $\dfrac{1}{4}$ and $\dfrac{3}{4}$, respectively. The noisy observation of $X\:\text{is}\:Y=X+Z,$ where $Z$ ... $\alpha$ (accurate to two decimal places) is ________.
A random variable $X$ takes values $-0.5$ and $0.5$ with probabilities $\dfrac{1}{4}$ and $\dfrac{3}{4}$, respectively. The noisy observation of $X\:\text{is}\:Y=X+Z,$ wh...
gatecse
1.6k
points
189
views
gatecse
asked
Feb 19, 2018
Probability and Statistics
gate2018-ec
numerical-answers
probability-and-statistics
propability
random-variable
+
–
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