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Recent questions tagged gate2014-ec-2
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GATE ECE 2014 Set 2 | GA Question: 1
Choose the most appropriate word from the options given below to complete the following sentence. Communication and interpersonal skills are__________ important in their own ways. each both all either
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Verbal Ability
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gate2014-ec-2
verbal-ability
most-appropriate-word
0
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1
answer
2
GATE ECE 2014 Set 2 | GA Question: 2
Which of the options given below best completes the following sentence? She will feel much better if she ________________. will get some rest gets some rest will be getting some rest is getting some rest
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Verbal Ability
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gate2014-ec-2
verbal-ability
most-appropriate-word
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1
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3
GATE ECE 2014 Set 2 | GA Question: 3
Choose the most appropriate pair of words from the options given below to complete the following sentence. She could not _________ the thought of _________ the election to her bitter rival. bear, loosing bare, loosing bear, losing bare, losing
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Verbal Ability
Mar 26, 2018
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41
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gate2014-ec-2
verbal-ability
most-appropriate-word
0
votes
0
answers
4
GATE ECE 2014 Set 2 | GA Question: 4
A regular die has six sides with numbers $1$ to $6$ marked on its sides. If a very large number of throws show the following frequencies of occurrence: $1 \rightarrow 0.167$; $2 \rightarrow 0.167$; $3 \rightarrow 0.152$; $4 \rightarrow 0.166$; $5 \rightarrow 0.168$; $6 \rightarrow 0.180$. We call this die irregular biased Gaussian insufficient
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Numerical Ability
Mar 26, 2018
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points
32
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gate2014-ec-2
numerical-ability
probability
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0
answers
5
GATE ECE 2014 Set 2 | GA Question: 5
Fill in the missing number in the series. $2$ $3$ $6$ $15$ __________ $157.5$ $630$
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Analytical Aptitude
Mar 26, 2018
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Milicevic3306
15.8k
points
27
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gate2014-ec-2
analytical-aptitude
logical-reasoning
sequence-series
0
votes
0
answers
6
GATE ECE 2014 Set 2 | GA Question: 6
Find the odd one in the following group $Q,W,Z,B \qquad B,H,K,M \qquad W,C,G,J \qquad M,S,V,X$ $Q, W, Z, B$ $B,H,K,M$ $W,C,G,J$ $M,S,V,X$
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Analytical Aptitude
Mar 26, 2018
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Milicevic3306
15.8k
points
34
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gate2014-ec-2
analytical-aptitude
logical-reasoning
odd-one
0
votes
0
answers
7
GATE ECE 2014 Set 2 | GA Question: 7
Lights of four colors (red, blue, green, yellow) are hung on a ladder. On every step of the ladder, there are two lights. If one of the lights is red, the other light on that step will always be blue. If one of the lights on a step is ... the sum of the yellow and blue lights The sum of the red and blue lights is equal to the sum of the green and yellow lights
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Verbal Ability
Mar 26, 2018
by
Milicevic3306
15.8k
points
29
views
gate2014-ec-2
verbal-ability
verbal-reasoning
passage-reading
0
votes
0
answers
8
GATE ECE 2014 Set 2 | GA Question: 8
The sum of eight consecutive odd numbers is $656$. The average of four consecutive even numbers is $87$. What is the sum of the smallest odd number and second largest even number?
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Numerical Ability
Mar 26, 2018
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Milicevic3306
15.8k
points
30
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gate2014-ec-2
numerical-ability
number-system
numerical-answers
0
votes
0
answers
9
GATE ECE 2014 Set 2 | GA Question: 9
The total exports and revenues from the exports of a country are given in the two charts shown below. The pie chart for exports shows the quantity of each item exported as a percentage of the total quantity of exports. The pie chart for the revenues shows ... item among the following has generated the maximum revenue per $kg$? Item $2$ Item $3$ Item $6$ Item $5$
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Numerical Ability
Mar 26, 2018
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Milicevic3306
15.8k
points
25
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gate2014-ec-2
numerical-ability
data-interpretation
pie-chart
0
votes
0
answers
10
GATE ECE 2014 Set 2 | GA Question: 10
It takes $30$ minutes to empty a half-full tank by draining it at a constant rate. It is decided to simultaneously pump water into the half-full tank while draining it. What is the rate at which water has to be pumped in so that it gets fully ... ? $4$ times the draining rate $3$ times the draining rate $2.5$ times the draining rate $2$ times the draining rate
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Numerical Ability
Mar 26, 2018
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Milicevic3306
15.8k
points
23
views
gate2014-ec-2
numerical-ability
pipe-cisterns
0
votes
0
answers
11
GATE ECE 2014 Set 2 | Question: 1
The determinant of matrix $A$ is $5$ and the determinant of matrix B is $40$. The determinant of matrix $AB$ is ________
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Linear Algebra
Mar 26, 2018
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Milicevic3306
15.8k
points
41
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gate2014-ec-2
numerical-answers
linear-algebra
matrices
determinant
0
votes
0
answers
12
GATE ECE 2014 Set 2 | Question: 2
Let $X$ be a random variable which is uniformly chosen from the set of positive odd numbers less than $100$. The expectation, $E[X]$, is ________.
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Probability and Statistics
Mar 26, 2018
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15.8k
points
37
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gate2014-ec-2
probability-and-statistics
probability
uniform-distribution
random-variable
numerical-answers
0
votes
0
answers
13
GATE ECE 2014 Set 2 | Question: 3
For $0 \leq t < \infty ,$ the maximum value of the function $f(t)= e^{-t}-2e^{-2t}$ occurs at $t= log_{e}4$ $t= log_{e}2$ $t= 0$ $t= log_{e}8$
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Calculus
Mar 26, 2018
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15.8k
points
33
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gate2014-ec-2
calculus
maxima-minima
0
votes
0
answers
14
GATE ECE 2014 Set 2 | Question: 4
The value of $\lim_{x\rightarrow \infty }(1 +\tfrac{1}{x})^{x}$ is $\text{ln }2$ $1.0$ $e$ $\infty$
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Calculus
Mar 26, 2018
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Milicevic3306
15.8k
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28
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gate2014-ec-2
calculus
limits
0
votes
0
answers
15
GATE ECE 2014 Set 2 | Question: 5
If the characteristic equation of the differential equation $\frac{\mathrm{d}^2 y}{\mathrm{dx}^2}+2\alpha \frac{\mathrm{d}y}{\mathrm{d} x}+y= 0$ has two equal roots, then the value of $\alpha$ are $\pm 1$ $0,0$ $\pm j$ $\pm 1/2$
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Differential Equations
Mar 26, 2018
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34
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gate2014-ec-2
differential-equations
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votes
0
answers
16
GATE ECE 2014 Set 2 | Question: 6
Norton’s theorem states that a complex network connected to a load can be replaced with an equivalent impedance in series with a current source in parallel with a voltage source in series with a voltage source in parallel with a current source
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Network Solution Methods
Mar 26, 2018
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51
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gate2014-ec-2
network-solution-methods
nortons
0
votes
0
answers
17
GATE ECE 2014 Set 2 | Question: 7
In the figure shown, the ideal switch has been open for a long time. If it is closed at t = 0, then the magnitude of the current (in mA) through the $4k \Omega$ resistor at $t= 0^{+}$ is ________.
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Electronic Devices
Mar 26, 2018
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Milicevic3306
15.8k
points
32
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gate2014-ec-2
numerical-answers
electronic-devices
0
votes
0
answers
18
GATE ECE 2014 Set 2 | Question: 8
A silicon bar is doped with donor impurities $N_{D}= 2.25 \times 10^{15} \text{atoms} / cm^{3}$. Given the intrinsic carrier concentration of silicon at $T = 300 \: K$ is $n_{i}= 1.5 \times 10^{10} cm^{-3}.$ Assuming complete impurity ionization, the equilibrium electron and ... $n_{0}=2.25\times 10^{15}cm^{-3}, \: p_{0}= 1\times 10^{5}cm^{-3}$
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Electronic Devices
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34
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gate2014-ec-2
electronic-devices
intrinsic-and-extrinsic-silicon
0
votes
0
answers
19
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 $g_{m}$
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Analog Circuits
Mar 26, 2018
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points
61
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gate2014-ec-2
analog-circuits
bipolar-junction-transistor
0
votes
0
answers
20
GATE ECE 2014 Set 2 | Question: 10
In CMOS technology, shallow P-well or N-well regions can be formed using low pressure chemical vapour deposition low energy sputtering low temperature dry oxidation low energy ion-implantation
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Electronic Devices
Mar 26, 2018
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Milicevic3306
15.8k
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34
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gate2014-ec-2
electronic-devices
cmos
0
votes
0
answers
21
GATE ECE 2014 Set 2 | Question: 11
The feedback topology in the amplifier circuit ( the base bias circuit is not shown for simplicity) in the figure is voltage shunt feedback current series feedback current shunt feedback voltage series feedback
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Analog Circuits
Mar 26, 2018
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Milicevic3306
15.8k
points
34
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gate2014-ec-2
analog-circuits
control-systems
0
votes
0
answers
22
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
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Analog Circuits
Mar 26, 2018
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Milicevic3306
15.8k
points
42
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gate2014-ec-2
analog-circuits
amplifier
0
votes
0
answers
23
GATE ECE 2014 Set 2 | Question: 13
A cascade connection of two voltage amplifier $A1$ and $A2$ is shown in the figure. The open-loop gain $A_{V0}$, input resistance $R_{in}$, and output resistance $R_{o}$ ... $V_{out}/V_{in}$ is __________.
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Electromagnetics
Mar 26, 2018
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73
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gate2014-ec-2
numerical-answers
electromagnetics
0
votes
0
answers
24
GATE ECE 2014 Set 2 | Question: 14
For an $n$-variable Boolean function, the maximum number of prime implicants is $2(n-1)$ $n/2$ $2^{n}$ $2^{n-1}$
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Digital Circuits
Mar 26, 2018
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15.8k
points
56
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gate2014-ec-2
boolean-algebra
digital-circuits
0
votes
0
answers
25
GATE ECE 2014 Set 2 | Question: 15
The number of bytes required to represent the decimal number $1856357$ in packed BCD (Binary Coded Decimal) form is ___________.
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Digital Circuits
Mar 26, 2018
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15.8k
points
55
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gate2014-ec-2
digital-circuits
number-system
number-representation
0
votes
0
answers
26
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 $M = X \oplus Y, \: \: \: N = XY$ $M = XY, \: \: \:N = X \oplus Y$ $M = \overline{ X}Y, \: \: \: N =X \oplus Y$ $M = X \overline{ Y}, \: \: \: N = \overline{X \oplus Y}$
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Digital Circuits
Mar 26, 2018
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Milicevic3306
15.8k
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37
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gate2014-ec-2
digital-circuits
combinational-circuits
half-subtractor-circuit
0
votes
0
answers
27
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
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Digital Circuits
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45
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gate2014-ec-2
digital-circuits
0
votes
0
answers
28
GATE ECE 2014 Set 2 | Question: 18
Let $x[n] = x[-n]$. Let $X(z)$ be the $z$-transform of $x[n]$. If $0.5 + j 0.25$ is a zero of $X(z)$, which one of the following must also be a zero of $x(z)$ $0.5 – j 0.25$ $1/(0.5 + j 0.25)$ $1/(0.5 – j 0.25)$ $2+j 4$
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Continuous-time Signals
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29
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gate2014-ec-2
continuous-time-signals
z-transform
0
votes
0
answers
29
GATE ECE 2014 Set 2 | Question: 19
Consider the periodic square wave in the figure shown. The ratio of the power in the $7^{th}$ harmonic to the power in the $5^{th}$ harmonic for this waveform is closest in value to ________.
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Electromagnetics
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points
43
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gate2014-ec-2
numerical-answers
electronics
electromagnetics
0
votes
0
answers
30
GATE ECE 2014 Set 2 | Question: 20
The natural frequency of an undamped second-order system is $40$ rad/s. If the system is damped with a damping ratio $0.3$, the damped natural frequency in $rad/s$ is ___________.
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Control Systems
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54
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gate2014-ec-2
numerical-answers
control-systems
damped-natural-frequency
0
votes
0
answers
31
GATE ECE 2014 Set 2 | Question: 21
For the following system, when $X_{1} (s) = 0$, the transfer function $\frac{Y(s)}{X_{2}(s)}$ is $\frac{s+1}{s^{2}}\\ $ $\frac{1}{s+1} \\$ $\frac{s+2}{s(s+1)} \\$ $\frac{s+1}{s(s+2)}$
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Network Solution Methods
Mar 26, 2018
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Milicevic3306
15.8k
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35
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gate2014-ec-2
network-solution-methods
transfer-function
0
votes
0
answers
32
GATE ECE 2014 Set 2 | Question: 22
The capacity of a band-limited additive white Gaussian noise (AWGN) channel is given by $C = W \log_{2}\left ( 1+\frac{p} {\sigma ^{2}w} \right )$ bits per second (bps), where $W$ is the channel bandwidth, $P$ is the average power received ... channel capacity (in kbps) with infinite bandwidth $(W\rightarrow \infty )$ is approximately $1.44$ $1.08$ $0.72$ $0.36$
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Vector Analysis
Mar 26, 2018
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15.8k
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70
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gate2014-ec-2
vector-analysis
gauss's-theorem
0
votes
0
answers
33
GATE ECE 2014 Set 2 | Question: 23
Consider sinusoidal modulation in an AM system. Assuming no overmodulation, the modulation index ($\mu$) when the maximum and minimum values of the envelope, respectively, are $3$ V and $1$ V, is ___________.
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Communications
Mar 26, 2018
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15.8k
points
66
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gate2014-ec-2
numerical-answers
communications
amplitude-modulation
0
votes
0
answers
34
GATE ECE 2014 Set 2 | Question: 24
To maximum power transfer, a lossless transmission line is to be matched to a resistive load impedance via a $\lambda/4$ transformer as shown. The characteristic impedance (in $\Omega$) of the $\lambda$/4 transformer is ___________.
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Electromagnetics
Mar 26, 2018
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15.8k
points
36
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gate2014-ec-2
numerical-answers
electromagnetics
impedance
0
votes
0
answers
35
GATE ECE 2014 Set 2 | Question: 25
Which one of the following field patterns represents a TEM wave travelling in the position $x$ direction? $E= +8\hat{y,} \: H = -4\hat{z}$ $E= -2\hat{y,} H = -3\hat{z}$ $E= +2\hat{y,} H = +2\hat{y}$ $E= -3\hat{y,} H = +4\hat{z}$
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Electromagnetics
Mar 26, 2018
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Milicevic3306
15.8k
points
35
views
gate2014-ec-2
electromagnetics
0
votes
0
answers
36
GATE ECE 2014 Set 2 | Question: 26
The system of linear equations $\begin{pmatrix} 2 & 1 & 3\\ 3&0 &1 \\ 1& 2 &5 \end{pmatrix} \begin{pmatrix} a\\ b\\ c \end{pmatrix} = \begin{pmatrix} 5\\ -4\\ 14 \end{pmatrix}$ has a unique solution infinitely many solutions no solution exactly two solutions
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Linear Algebra
Mar 26, 2018
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Milicevic3306
15.8k
points
32
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gate2014-ec-2
linear-algebra
matrices
system-of-equations
0
votes
0
answers
37
GATE ECE 2014 Set 2 | Question: 27
The real part of an analytic function $f(z)$ where $z = x + jy$ is given by $e^{-y} \cos(x)$. The imaginary part of $f(z)$ is $e^{y} \cos( x )$ $e^{-y} \sin( x )$ $-e^{y} \sin ( x )$ $-e^{-y} \sin (x )$
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Complex Analysis
Mar 26, 2018
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Milicevic3306
15.8k
points
80
views
gate2014-ec-2
analytic-functions
complex-analysis
0
votes
0
answers
38
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 __________.
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Linear Algebra
Mar 26, 2018
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Milicevic3306
15.8k
points
40
views
gate2014-ec-2
numerical-answers
linear-algebra
matrices
determinant
0
votes
0
answers
39
GATE ECE 2014 Set 2 | Question: 29
If $\overrightarrow {r}= x\hat{a_{x}}+y\hat{a_{y}}+z\hat{a_{z}}$ and $\mid \overrightarrow{r} \mid= r$ , then $\text{div} ( r^{2} \nabla ( \text{ln }r ) )$ = _______ .
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Vector Analysis
Mar 26, 2018
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Milicevic3306
15.8k
points
39
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gate2014-ec-2
vector-analysis
numerical-answers
0
votes
0
answers
40
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 _________.
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Control Systems
Mar 26, 2018
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Milicevic3306
15.8k
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49
views
gate2014-ec-2
numerical-answers
control-systems
frequency-response
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