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Recent questions tagged gate2015-ec-3
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GATE ECE 2015 Set 3 | GA Question: 1
Choose the most appropriate word from the options given below to complete the following sentence. If the athlete had wanted to come first in the race, he ________________ several hours every day. should practise should have practised practised should be practising
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Verbal Aptitude
Mar 28, 2018
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gate2015-ec-3
verbal-ability
most-appropriate-word
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2
GATE ECE 2015 Set 3 | GA Question: 2
Choose the most suitable one word substitute for the following expression: Connotation of a road or way Pertinacious Viaticum Clandestine Ravenous
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Verbal Aptitude
Mar 28, 2018
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Milicevic3306
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75
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gate2015-ec-3
verbal-ability
most-appropriate-word
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3
GATE ECE 2015 Set 3 | GA Question: 3
Choose the correct verb to fill in the blank below: Let us __________ introvert alternate atheist altruist
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Verbal Aptitude
Mar 28, 2018
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Milicevic3306
15.8k
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48
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gate2015-ec-3
verbal-ability
english-grammar
0
votes
0
answers
4
GATE ECE 2015 Set 3 | GA Question: 4
Find the missing sequence in the letter series below: $A, CD, GHI,?, UVWXY$ $LMN$ $MNO$ $MNOP$ $NOPQ$
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Analytical Aptitude
Mar 28, 2018
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Milicevic3306
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59
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gate2015-ec-3
analytical-aptitude
logical-reasoning
sequence-series
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0
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5
GATE ECE 2015 Set 3 | GA Question: 5
If $x>y>1,$ which of the following must be true? $\text{ln } x > \text{ln }y$ $e^{x}>e^{y}$ $y^{x}>x^{y}$ $\cos x> \cos y$ $(i)$ and $(ii)$ $(i)$ and $(iii)$ $(iii)$ and $(iv)$ $(ii)$ and $(iv)$
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Quantitative Aptitude
Mar 28, 2018
by
Milicevic3306
15.8k
points
49
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gate2015-ec-3
numerical-ability
inequality
0
votes
0
answers
6
GATE ECE 2015 Set 3 | GA Question: 6
Ran and Shyam shared a secret and promised to each other that it would remain between them. Ram expressed himself in one of the following ways as given in the choices below. Identify the correct way as per standard English. It would remain between you and me. It would remain between I and you. It would remain between you and I. It would remain with me.
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Verbal Aptitude
Mar 28, 2018
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Milicevic3306
15.8k
points
59
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gate2015-ec-3
verbal-ability
verbal-reasoning
0
votes
0
answers
7
GATE ECE 2015 Set 3 | GA Question: 7
In the following question, the first and the last sentence of the passage are in order and numbered $1$ and $6.$ The rest of the passage is split into $4$ parts and numbered as $2,3,4,$ and $5.$ These $4$ parts are not arranged in proper order. Read the sentences ... . Houses look so pretty with lighted lamps all around. $2,5,3,4$ $5,2,4,3$ $3,5,4,2$ $4,5,2,3$
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Verbal Aptitude
Mar 28, 2018
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Milicevic3306
15.8k
points
54
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gate2015-ec-3
verbal-ability
verbal-reasoning
0
votes
0
answers
8
GATE ECE 2015 Set 3 | GA Question: 8
From a circular sheet of paper of radius $30$ cm, a sector of $10\%$ area is removed. If the remaining part is used to make a conical surface, then the ratio of the radius and height of the cone is ________.
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Quantitative Aptitude
Mar 28, 2018
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Milicevic3306
15.8k
points
54
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gate2015-ec-3
numerical-answers
numerical-ability
geometry
0
votes
0
answers
9
GATE ECE 2015 Set 3 | GA Question: 9
$\log \tan1^{\circ}+ \log \tan2^{\circ}+ \dots + \log \tan89^{\circ}$ is $1$ $\frac{1}{\sqrt{2}}$ $0$ $-1$
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Quantitative Aptitude
Mar 28, 2018
by
Milicevic3306
15.8k
points
48
views
gate2015-ec-3
numerical-ability
logarithms
0
votes
0
answers
10
GATE ECE 2015 Set 3 | GA Question: 10
Ms. $X$ will be in Bagdogra from $01/05/2014$ to $20/05/2014$ and from $22/05/2014$ to $31/05/2014.$ On the morning of $21/05/2014,$ she will reach Kochi via Mumbai. Which one of the statements below is logically valid and can be inferred from the above ... May. Ms. $X$ will be only in Kochi for one day in May. Only Ms. $X$ will be in Kochi for one day in May.
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Analytical Aptitude
Mar 28, 2018
by
Milicevic3306
15.8k
points
305
views
gate2015-ec-3
analytical-aptitude
logical-reasoning
statements-follow
1
vote
0
answers
11
GATE ECE 2015 Set 3 | Question: 1
For $A = \begin{bmatrix} 1 &\tan x \\ -\tan x &1 \end{bmatrix},$ the determinant of $A^{T}A^{-1}$ is $\sec^{2}x$ $\cos 4x$ $1$ $0$
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Linear Algebra
Mar 28, 2018
by
Milicevic3306
15.8k
points
46
views
gate2015-ec-3
linear-algebra
matrices
determinant
0
votes
0
answers
12
GATE ECE 2015 Set 3 | Question: 2
The contour on the $x-y$ plane, where the partial derivative of $x^{2} + y^{2}$ with respect to $y$ is equal to the partial derivative of $6y+4x$ with respect to $x$, is $y=2$ $x=2$ $x+y=4$ $x-y=0$
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Calculus
Mar 28, 2018
by
Milicevic3306
15.8k
points
69
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gate2015-ec-3
calculus
derivatives
partial-derivatives
0
votes
0
answers
13
GATE ECE 2015 Set 3 | Question: 3
If $C$ is a circle of radius $r$ with centre $z_{0},$ in the complex $z$-plane and if $n$ is a non-zero integer, then $\oint _{C}\frac{dz}{(z-z_{0})^{n+1}}$ equals $2\pi n j$ $0$ $\frac{nj}{2\pi}$ $2\pi n$
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Complex Analysis
Mar 28, 2018
by
Milicevic3306
15.8k
points
67
views
gate2015-ec-3
vector-analysis
0
votes
0
answers
14
GATE ECE 2015 Set 3 | Question: 4
Consider the function $g(t) = e^{-t}\sin(2\pi t)u(t)$ where $u(t)$ is the unit step function. The area under $g(t)$ is ______.
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Vector Analysis
Mar 28, 2018
by
Milicevic3306
15.8k
points
141
views
gate2015-ec-3
numerical-answers
vector-analysis
0
votes
0
answers
15
GATE ECE 2015 Set 3 | Question: 5
The value of $\displaystyle{}\sum_{n=0}^{\infty} n \left(\dfrac{1}{2}\right)^{n}$ is ________.
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Calculus
Mar 28, 2018
by
Milicevic3306
15.8k
points
52
views
gate2015-ec-3
numerical-answers
calculus
taylor-series
0
votes
0
answers
16
GATE ECE 2015 Set 3 | Question: 6
For the circuit shown in the figure, the Thevenin equivalent voltage (in Volts) across terminals $a-b$ is _______.
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Network Solution Methods
Mar 28, 2018
by
Milicevic3306
15.8k
points
98
views
gate2015-ec-3
numerical-answers
network-solution-methods
thevenin-theorem
0
votes
0
answers
17
GATE ECE 2015 Set 3 | Question: 9
In the circuit shown, the voltage $V_{X}$ (in Volts) is ________.
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Analog Circuits
Mar 28, 2018
by
Milicevic3306
15.8k
points
55
views
gate2015-ec-3
analog-circuits
0
votes
0
answers
18
GATE ECE 2015 Set 3 | Question: 8
At very high frequencies, the peak output voltage $V_{0}$ (in Volts) is _______.
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Analog Circuits
Mar 28, 2018
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Milicevic3306
15.8k
points
41
views
gate2015-ec-3
numerical-answers
analog-circuits
0
votes
0
answers
19
GATE ECE 2015 Set 3 | Question: 9
Which one of the following processes is preferred to form the gate dielectric $(SiO_{2})$ of MOSFETs ? Sputtering Molecular beam epitaxy Wet oxidation Dry oxidation
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Analog Circuits
Mar 28, 2018
by
Milicevic3306
15.8k
points
63
views
gate2015-ec-3
analog-circuits
mosfet
0
votes
0
answers
20
GATE ECE 2015 Set 3 | Question: 10
If the base width in a bipolar junction transistor is doubled, which one of the following statements will be TRUE? Current gain will increase Unity gain frequency will increase Emitter-base junction capacitance will increase Early Voltage will increase
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Analog Circuits
Mar 28, 2018
by
Milicevic3306
15.8k
points
70
views
gate2015-ec-3
analog-circuits
transistor
0
votes
0
answers
21
GATE ECE 2015 Set 3 | Question: 11
In the circuit shown in the figure, the BJT has a current gain $(\beta)$ of $50.$ For an emitter-base voltage ܸ $V_{EB} = 600\: mV,$ the emitter-collector voltage $V_{EC}$ (in Volts) is _______.
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Analog Circuits
Mar 28, 2018
by
Milicevic3306
15.8k
points
48
views
gate2015-ec-3
numerical-answers
analog-circuits
bipolar-junction-transistor
0
votes
0
answers
22
GATE ECE 2015 Set 3 | Question: 12
In the circuit shown using an ideal opamp, the $3$-dB cut-off frequency (in Hz) is _______.
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Analog Circuits
Mar 28, 2018
by
Milicevic3306
15.8k
points
67
views
gate2015-ec-3
numerical-answers
analog-circuits
op-amps
0
votes
0
answers
23
GATE ECE 2015 Set 3 | Question: 13
In the circuit shown, assume that diodes $D_{1}$ and $D_{2}$ are ideal. In the steady state condition, the average voltage $V_{ab}$ (in Volts) across the $0.5\: \mu F$ capacitor is ______.
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Analog Circuits
Mar 28, 2018
by
Milicevic3306
15.8k
points
47
views
gate2015-ec-3
numerical-answers
analog-circuits
0
votes
0
answers
24
GATE ECE 2015 Set 3 | Question: 14
The circuit shown consists of J-K flip-flops, each with an active low asynchronous reset $(\overline{R_{d}}\:\text{input}).$ The counter corresponding to this circuit is a modulo-$5$ binary up counter a modulo-$6$ binary down counter a modulo-$5$ binary down counter a modulo-$6$ binary up counter
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Network Solution Methods
Mar 28, 2018
by
Milicevic3306
15.8k
points
103
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gate2015-ec-3
network-solution-methods
flip-flops
0
votes
0
answers
25
GATE ECE 2015 Set 3 | Question: 15
In the circuit shown, diodes $D_{1}, D_{2}$ and $D_{3}$ are ideal, and the inputs $E_{1} , E_{2}$ and $E_{3}$ are $“0\: V”$ for logic $‘0’$ and $“10\: V”$ for logic $‘1’$. What logic gate does the circuit represent? $3$-input OR gate $3$-input NOR gate $3$-input AND gate $3$-input XOR gate
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Number Representations
Mar 28, 2018
by
Milicevic3306
15.8k
points
91
views
gate2015-ec-3
digital-circuits
combinational-circuits
logic-gates
0
votes
0
answers
26
GATE ECE 2015 Set 3 | Question: 16
Which one of the following $8085$ microprocessor programs correctly calculates the product of two $8$-bit numbers stored in registers $B$ and $C?$ ...
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Digital Circuits
Mar 28, 2018
by
Milicevic3306
15.8k
points
67
views
gate2015-ec-3
digital-circuits
microprocessor-8085
0
votes
0
answers
27
GATE ECE 2015 Set 3 | Question: 17
The impulse response of an LTI system can be obtained by differentiating the unit ramp response differentiating the unit step response integrating the unit ramp response integrating the unit step response
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Continuous-time Signals
Mar 28, 2018
by
Milicevic3306
15.8k
points
68
views
gate2015-ec-3
continuous-time-signals
impulse-response
linear-time-invariant-systems
0
votes
0
answers
28
GATE ECE 2015 Set 3 | Question: 18
Consider a four-point moving average filter defined by the equation $y[n] = \displaystyle{}\sum _{i=0}^{3}\alpha_{i}\:x[n-i].$ ... $\alpha_{1} = \alpha_{2} = 0;\:\alpha_{0} = \alpha_{3}$
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Analog Circuits
Mar 28, 2018
by
Milicevic3306
15.8k
points
55
views
gate2015-ec-3
analog-circuits
filters
0
votes
0
answers
29
GATE ECE 2015 Set 3 | Question: 19
Consider the Bode plot shown in the figure. Assume that all the poles and zeros are real-valued. The value of $f_{H}\: – f_{L}\:( \text{in}\: Hz)$ is ___________.
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Control Systems
Mar 28, 2018
by
Milicevic3306
15.8k
points
113
views
gate2015-ec-3
numerical-answers
control-systems
bode-and-root-locus-plots
0
votes
0
answers
30
GATE ECE 2015 Set 3 | Question: 20
The phase margin (in degrees) of the system $G(s) = \dfrac{10}{s(s+10)}$ is _______.
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Continuous-time Signals
Mar 28, 2018
by
Milicevic3306
15.8k
points
73
views
gate2015-ec-3
numerical-answers
continuous-time-signals
phase-delay
0
votes
0
answers
31
GATE ECE 2015 Set 3 | Question: 21
The transfer function of a first-order controller is given as $G_{C}(s) = \dfrac{K(s+a)}{s+b}$where $K,a$ and ܾ$b$ are positive real numbers. The condition for this controller to act as a phase lead compensator is $a<b$ $a>b$ $K<ab$ $K>ab$
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Network Solution Methods
Mar 28, 2018
by
Milicevic3306
15.8k
points
74
views
gate2015-ec-3
network-solution-methods
transfer-function
0
votes
0
answers
32
GATE ECE 2015 Set 3 | Question: 22
The modulation scheme commonly used for transmission from GSM mobile terminals is $4$-QAM $16$-PSK Walsh-Hadamard orthogonal codes Gaussian Minimum Shift Keying (GMSK)
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Communications
Mar 28, 2018
by
Milicevic3306
15.8k
points
102
views
gate2015-ec-3
communications
gaussian-minimum-shift-keying
0
votes
0
answers
33
GATE ECE 2015 Set 3 | Question: 23
A message signal $m(t) = A_{m} \sin(2πf_{m}t)$ is used to modulate the phase of a carrier $A_{c} \cos(2πf_{c}t)$ to get the modulated signal $y(t) = A_{c} \cos(2πf_{c}t + m(t)).$ The bandwidth of $y(t)$ depends on $A_{m}$ but not on $f_{m}$ depends on $f_{m}$ but not on $A_{m}$ depends on both $A_{m}$ and $f_{m}$ does not depend on $A_{m}$ or $f_{m}$
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in
Continuous-time Signals
Mar 28, 2018
by
Milicevic3306
15.8k
points
52
views
gate2015-ec-3
communications
calculation-of-bandwidth
0
votes
0
answers
34
GATE ECE 2015 Set 3 | Question: 24
The directivity of an antenna array can be increased by adding more antenna elements, as a larger number of elements improves the radiation efficiency increases the effective area of the antenna results in a better impedance matching allows more power to be transmitted by the antenna
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Electromagnetics
Mar 28, 2018
by
Milicevic3306
15.8k
points
45
views
gate2015-ec-3
electromagnetics
antennas
0
votes
0
answers
35
GATE ECE 2015 Set 3 | Question: 25
A coaxial cable is made of two brass conductors. The spacing between the conductors is filled with Teflon $(\varepsilon_{r} = 2.1, \tan \delta = 0).$ Which one of the following circuits can represent the lumped element model of a small piece of this cable having length $\Delta z$?
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Electromagnetics
Mar 28, 2018
by
Milicevic3306
15.8k
points
42
views
gate2015-ec-3
electromagnetics
0
votes
0
answers
36
GATE ECE 2015 Set 3 | Question: 26
The Newton-Raphson method is used to solve the equation $f(x) = x^{3} – 5x^{2} + 6x – 8 = 0.$ Taking the initial guess as $x = 5,$ the solution obtained at the end of the first iteration is __________.
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Numerical Methods
Mar 28, 2018
by
Milicevic3306
15.8k
points
40
views
gate2015-ec-3
numerical-answers
numerical-methods
0
votes
0
answers
37
GATE ECE 2015 Set 3 | Question: 27
A fair die with faces $\{1, 2, 3, 4, 5, 6\}$ is thrown repeatedly till $’3’$ is observed for the first time. Let $X$ denote the number of times the die is thrown. The expected value of $X$ is _______.
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Probability and Statistics
Mar 28, 2018
by
Milicevic3306
15.8k
points
47
views
gate2015-ec-3
numerical-answers
probability-and-statistics
probability
expectation
0
votes
0
answers
38
GATE ECE 2015 Set 3 | Question: 28
Consider the differential equation $\dfrac{\mathrm{d^{2}}x(t) }{\mathrm{d} t^{2}} +3\frac{\mathrm{d}x(t)}{\mathrm{d} t} + 2x(t) = 0. $ Given $x(0) = 20$ and $x(1) = 10/e,$ where $e = 2.718,$ the value of $x(2)$ is ________.
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Differential Equations
Mar 28, 2018
by
Milicevic3306
15.8k
points
156
views
gate2015-ec-3
numerical-answers
differential-equations
0
votes
0
answers
39
GATE ECE 2015 Set 3 | Question: 29
A vector field $\textbf{D} = 2\rho^{2}\:\textbf{a}_{\rho} + z\: \textbf{a}_{z}$ exists inside a cylindrical region enclosed by the surfaces $\rho =1,z = 0$ and $z = 5.$ Let $S$ be the surface bounding this cylindrical region. The surface integral of this field on $S(∯_{S} \textbf{D.ds})$ is _______.
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Vector Analysis
Mar 28, 2018
by
Milicevic3306
15.8k
points
85
views
gate2015-ec-3
numerical-answers
vector-analysis
1
vote
0
answers
40
GATE ECE 2015 Set 3 | Question: 31
The $ABCD$ parameters of the following $2$-port network are $\begin{bmatrix}3.5 + j2 & 20.5 \\ 20.5 & 3.5-j2 \end{bmatrix} \\$ $\begin{bmatrix}3.5 +j2 & 30.5 \\ 0.5&3.5-j2 \end{bmatrix} \\$ $\begin{bmatrix}10 &2+j0 \\2+j0 &10 \end{bmatrix} \\$ $\begin{bmatrix}7+j4 &0.5 \\ 30.5&7-j4 \end{bmatrix} $
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asked
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Network Solution Methods
Mar 28, 2018
by
Milicevic3306
15.8k
points
67
views
gate2015-ec-3
two-port-network
network-solution-methods
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