Recent activity - GO Electronics

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1

GATE2014-1-15
The Boolean expression $(X+Y)(X+\overline{Y}) + \overline{(X\;\overline{Y}) + \overline{X}}$ simplifies to $X$ $Y$ $XY$ $X+Y$

answered Jan 5 in Digital Circuits by Hira Thakur (240 points)

+1 vote

1 answer

2

GATE2018-31
A four-variable Boolean function is realized using $4\times 1$ multiplexers as shown in the figure. The minimized expression for $\text{F(U,V,W,X)}$ is $\left ( UV+\overline{U}\:\overline{V}\right )\overline{W}$ ... $\left ( U\:\overline{V}+\overline{U}\:V\right )\left (\overline{W}\: \overline{X}+\overline{W}\:X\right )$

answered Jan 5 in Digital Circuits by Hira Thakur (240 points)

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3

GATE2020-EC: 10
The figure below shows a multiplexer where $S_{1}$ and $S{2}$ are the select lines, $I_{0}$ to $I_{3}$ are the input data lines, $\text{EN}$ is the enable line, and $\text{F(P, Q, R)}$ is the output. $\text{F}$ is $PQ+\overline{Q}R.$ $PQ+Q\overline{R}.$ $P\overline{Q}R+\overline{P}Q.$ $\overline{Q}+PR.$

answered Jan 5 in Digital Circuits by Hira Thakur (240 points)

+1 vote

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4

GATE2017 EC-1: 27
A three dimensional region $R$ of finite volume is described by $x^2 + y^2 \leq z^3; \: \: 0 \leq z \leq 1,$ where $x,y,z$ are real. The volume of $R$ (up to two decimal places) is _________

recategorized Jan 5 in Vector Analysis by gatecse (1.5k points)

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5

GATE2020-EC: 9
In the circuit shown below, the Thevenin voltage $V_{TH}$is $2.4\:V$ $2.8\:V$ $3.6\:V$ $4.5\:V$

retagged Nov 18, 2020 in Network Solution Methods by soujanyareddy13 (100 points)

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6

GATE2017 EC-2: 32
Consider the circuit shown in the figure. The Thevenin equivalent resistance (in Ω) across P-Q is _____________

retagged Nov 18, 2020 in Network Solution Methods by soujanyareddy13 (100 points)

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7

GATE2020-EC: 55
Consider the following closed loop control system where $G\left ( s \right )=\dfrac{1}{s\left ( s+1 \right )}$ and $C\left ( s \right )=K\dfrac{s+1}{s+3}$. If the steady state error for a unit ramp input is $0.1$, then the value of $K$ is ______________.

retagged Nov 18, 2020 in Network Solution Methods by soujanyareddy13 (100 points)

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8

GATE2015-2-22
A sinusoidal signal of amplitude $A$ is quantized by a uniform quantizer. Assume that the signal utilizes all the representation levels of the quantizer. If the signal to quantization noise ratio is $31.8\: dB,$ the number of levels in the quantizer is __________.

retagged Nov 18, 2020 in Network Solution Methods by soujanyareddy13 (100 points)

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9

GATE2015-1-6
In the circuit shown, at resonance, the amplitude of the sinusoidal voltage (in Volts) across the capacitor is ____________.

retagged Nov 18, 2020 in Network Solution Methods by soujanyareddy13 (100 points)

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10

GATE2017 EC-2: 6
A connection is made consisting of resistance A in series with a parallel combination of resistances $B$ and $C$. Three resistors of value $10 Ω, 5 Ω, 2 Ω$ are provided. Consider all possible permutations of the given resistors into the ... minimum possible overall resistance. The ratio of maximum to minimum values of the resistances (up to second decimal place) is ___________.

retagged Nov 18, 2020 in Network Solution Methods by soujanyareddy13 (100 points)

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11

GATE2017 EC-2: 31
The switch in the circuit, shown in the figure, was open for a long time and is closed at $t=0$. The current $i(t)$ (in ampere) at $t=0.5$ seconds is ____________

recategorized Nov 18, 2020 in Electronic Devices by soujanyareddy13 (100 points)

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12

GATE2013-29
The open-loop transfer function of a dc motor is given as $\dfrac{\omega(s)}{V_{a}(s)} = \dfrac{10}{1+10s}.$ When connected in feedback as shown below, the approximate value of $K_{a}$ that will reduce the time constant of the closed loop system by one hundred times as compared to that of the open-loop system is $1$ $5$ $10$ $100$

retagged Nov 18, 2020 in Network Solution Methods by soujanyareddy13 (100 points)

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13

GATE2013-28
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 $100\angle 90^{\circ}$ $800\angle 0^{\circ}$ $800\angle 90^{\circ}$ $100\angle 60^{\circ}$

retagged Nov 18, 2020 in Network Solution Methods by soujanyareddy13 (100 points)

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14

GATE2012-53
An infinitely long uniform solid wire of radius $a$ carries a uniform dc current of density $\overrightarrow{j}$. A hole of radius $b$ (b < a) ia now drilled along the length of the wire at a distance $d$ from the center of the wire as shown below. The ... hole is uniform and depends only on $d$ uniform and depends only on $b$ uniform and depends only on both $b$ and $d$ non uniform

recategorized Nov 18, 2020 in Electronic Devices by soujanyareddy13 (100 points)

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15

GATE2016-1-31
A network consisting of a finite number of linear resistor (R), inductor (L), and capacitor (C) elements, connected all in series or all in parallel, is excited with a source of the form $\sum_{k=1}^{3} a_k\cos(k\omega_0t) ,\text{where } \thinspace a_k\neq 0, \omega_0\neq0$ The ... $\sum_{k=1}^{3} a_k\cos(k\omega_0t+\phi_k) \\$ $\sum_{k=1}^{2} a_k\cos(k\omega_0t+\phi_k)$

recategorized Nov 18, 2020 in Analog Circuits by soujanyareddy13 (100 points)

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16

GATE2014-2-6
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

edited Nov 18, 2020 in Network Solution Methods by soujanyareddy13 (100 points)

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17

GATE2014-4-21
For the second order closed-loop system shown in the figure, the natural frequency (in rad/s) is $16$ $4$ $2$ $1$

retagged Nov 18, 2020 in Network Solution Methods by soujanyareddy13 (100 points)

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18

GATE2016-1-4
Which one of the following is a property of the solutions to the Laplace equation: $\nabla^2f = 0$? The solutions have neither maxima nor minima anywhere except at the boundaries. The solutions are not separable in the coordinates. The solutions are not continuous. The solutions are not dependent on the boundary conditions.

retagged Nov 18, 2020 in Network Solution Methods by soujanyareddy13 (100 points)

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19

GATE2013-11
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 $k^{2}$ $k$ $1/k$ $\sqrt{k}$

edited Nov 18, 2020 in Network Solution Methods by soujanyareddy13 (100 points)

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20

GATE2019 EC: 22
The baseband signal $m(t)$ shown in the figure is phase-modulated to generate the $PM$ signal $\varphi(t)=\cos(2\pi f_{c}t+ k\:\: m(t)).$ The time $t$ on the $x-$ axis in the figure is in milliseconds. If the carrier ... the ratio of the minimum instantaneous frequency (in kHz) to the maximum instantaneous frequency (in kHz) is _________ (rounded off to $2$ decimal places).

retagged Nov 18, 2020 in Continuous-time Signals by soujanyareddy13 (100 points)

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21

GATE2014-3-30
Consider the building block called ‘Network N’ shown in the figure. Let $C= 100\mu F$ and $R= 10 k \Omega.$ Two such blocks are connected in cascade, as shown in the figure. The transfer function $\frac{V_{3}(s)}{V_{1}(s)}$ of the cascaded network is $\frac{s}{1+s} \\$ $\frac{s^{2}}{1+3s+s^{2}} \\$ $\left ( \frac{s}{1+s} \right )^{2} \\$ $\frac{s}{2+s}$

retagged Nov 18, 2020 in Network Solution Methods by soujanyareddy13 (100 points)

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22

GATE2014-4-45
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 $N=4$, which ... $x = \begin{bmatrix} 1 & 3 & 2 & 2 \end{bmatrix}$ $x = \begin{bmatrix} 1 & 2 & 2 & 3 \end{bmatrix}$

edited Nov 18, 2020 in Continuous-time Signals by soujanyareddy13 (100 points)

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23

GATE2016-2-33
The Discrete Fourier Transform (DFT) of the $4$-point sequence $x\left [ n \right ]=\left \{ x\left [ 0 \right ],x\left [ 1 \right ], x\left [ 2 \right ], x\left [ 3 \right ] \right \}= \left \{ 3,2,3,4 \right \}$ ... $\left | \frac{X_{1}\left [ 8 \right ]}{X_{1}\left [ 11 \right ]} \right |$ is _________

retagged Nov 18, 2020 in Continuous-time Signals by soujanyareddy13 (100 points)

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24

GATE2018-13
A discrete-time all-pass system has two of its poles at $0.25\angle 0^{\circ}$ and $2\angle 30^{\circ}$. Which one of the following statements about the system is TRUE? It has two more poles at $0.5\angle 30^{\circ}$ ... the impulse response is two-sided. It has constant phase response over all frequencies. It has constant phase response over the entire $\text{z-plane}$.

edited Nov 18, 2020 in Continuous-time Signals by soujanyareddy13 (100 points)

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25

GATE2019 EC: 44
Let $h[n]$ be a length - $7$ discrete-time finite impulse response filter, given by $h[0]=4, \quad h[1]=3,\quad h[2]=2,\quad h[3]=1,$ $\quad h[-1]=-3, \quad h[-2]=-2, \quad h[-3]=-1,$ and $h[n]$ is zero for $|n|\geq4.$ ... $g[n],$ respectively. For the filter that minimizes $E(h,g),$ the value of $10g[-1]+g[1],$ rounded off to $2$ decimal places, is __________.

retagged Nov 18, 2020 in Continuous-time Signals by soujanyareddy13 (100 points)

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26

GATE2017 EC-1: 33
Let $h[n]$ ... in radians. Given that $H(\omega_{0})=0$ and $0< \omega_{0} < \pi$, the value of $\omega_{0}$ (in radians) is equal to__________.

retagged Nov 18, 2020 in Continuous-time Signals by soujanyareddy13 (100 points)

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27

GATE2016-3-36
The direct form structure of an FIR (finite impulse response) filter is shown in the figure. The filter can be used to approximate a low-pass filter high-pass filter band-pass filter band-stop filter

edited Nov 18, 2020 in Continuous-time Signals by soujanyareddy13 (100 points)

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28

GATE2017 EC-1: 52
A continuous time signal $x(t)=4 \cos(200\pi t)+8 \cos(400\pi t)$, where $t$ is in seconds, is the input to a linear time invariant (LTI) filter with the impulse response $h(t)=\begin{cases} \frac{2 \sin (300\pi t)}{\pi t},& t\neq 0 \\ 600, & t=0. \end{cases}$ Let $y(t)$ be the output of this filter. The maximum value of $ \mid y(t) \mid $ is _________.

retagged Nov 18, 2020 in Continuous-time Signals by soujanyareddy13 (100 points)

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29

GATE2015-3-20
The phase margin (in degrees) of the system $G(s) = \dfrac{10}{s(s+10)}$ is _______.

retagged Nov 18, 2020 in Continuous-time Signals by soujanyareddy13 (100 points)

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30

GATE2020-EC: 11
The pole-zero map of a rational function $G(s)$ is shown below. When the closed contour $\Gamma$ is mapped into the $G(s)$-plane, then the mapping encircles the origin of the $G(s)$-plane once in the counter-clockwise direction. the origin of the $G(s)$- ... $-1 + j0$ of the $G(s)$-plane once in the clockwise direction.

retagged Nov 18, 2020 in Continuous-time Signals by soujanyareddy13 (100 points)

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31

GATE2015-1-45
The pole-zero diagram of a casual and stable discrete-time system is shown in the figure. The zero at the origin has multiplicity $4$. The impulse response of the system is $h[n]$. If $h[0]=1$, we can conclude $h[n]$ is real for all $n$ $h[n]$ is purely imaginary for all $n$ $h[n]$ is real for only even $n$ $h[n]$ is purely imaginary for only odd $n$

edited Nov 18, 2020 in Continuous-time Signals by soujanyareddy13 (100 points)

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32

GATE2014-1-31
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 $(18 + j\:1.5)\:kVA$ $(18 – j\:1.5)\:kVA$ ‘$(20 + j\:1.5)\:kVA$ $(20 – j\:1.5)\:kVA$

retagged Nov 18, 2020 in Continuous-time Signals by soujanyareddy13 (100 points)

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33

GATE2014-3-14
An analog voltage in the range $0$ to $8$ V is divided in $16$ equal intervals for conversion to $4$-bit digital output. The maximum quantization error (in V) is __________

recategorized Nov 18, 2020 in Analog Circuits by soujanyareddy13 (100 points)

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34

GATE2014-4-18
A real-valued signal $x(t)$ limited to the frequency band $\mid f \mid \leq \frac{W}{2}$ is passed through a linear time invariant system whose frequency response is $H(f) = \begin{cases} e^{-j 4 \pi f}, & \mid f \mid \leq \frac{W}{2} \\ 0, & \mid f \mid > \frac{W}{2} \end{cases}.$ The output of the system is $x(t+4)$ $x(t-4)$ $x(t+2)$ $x(t-2)$

edited Nov 18, 2020 in Continuous-time Signals by soujanyareddy13 (100 points)

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35

GATE2015-2-23
The signal $\cos \left(10\pi t + \dfrac{\pi}{4}\right)$ is ideally sampled at a sampling frequency of $15 Hz.$ The sampled signal is passed through a filter with impulse response $\left(\dfrac{\sin (\pi t)}{\pi t}\right)\cos\left(40\pi t - \dfrac{\pi}{2}\right)$ The filter ... $\dfrac{15}{2}\left(\dfrac{\sin (\pi t)}{\pi t}\right)\cos\left(40\pi t - \dfrac{\pi}{2}\right)$

retagged Nov 18, 2020 in Continuous-time Signals by soujanyareddy13 (100 points)

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36

GATE2019 EC: 21
Consider the signal $f(t)=1+2 \cos(\pi t)+3 \sin \left(\dfrac{2\pi}{3}t\right)+4 \cos \left(\dfrac{\pi}{2}t+\dfrac{\pi}{4}\right)$, where $t$ is in seconds. Its fundamental time period, in seconds, is __________.

retagged Nov 18, 2020 in Continuous-time Signals by soujanyareddy13 (100 points)

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37

GATE2018-15
Consider the following amplitude modulated signal: $s\left ( t \right )=\cos\left ( 2000\:\pi t \right )+4\cos\left ( 2400\:\pi t \right )+ \cos\left ( 2800\:\pi t \right ).$The ratio (accurate to three decimal places) of the power of the message signal to the power of the carrier signal is _________.

recategorized Nov 18, 2020 in Communications by soujanyareddy13 (100 points)

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38

GATE2016-3-35
A continuous-time speech signal $x_a(t)$ is sampled at a rate of $8\:kHz$ and the samples are subsequently grouped in blocks, each of size $N$. The DFT of each block is to be computed in real time using the radix-$2$ decimation-in-frequency FFT ... multiplications by $1$ and $-1$) and the time required for addition/subtraction is negligible, then the maximum value of $N$ is _________

retagged Nov 18, 2020 in Continuous-time Signals by soujanyareddy13 (100 points)

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39

GATE2016-2-10
The energy of the signal $x(t)= \frac{\sin(4\pi t)}{4\pi t}$ is ________

retagged Nov 18, 2020 in Continuous-time Signals by soujanyareddy13 (100 points)

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40

GATE2016-1-7
A continuous-time function $x(t)$ is periodic with period $T$. The function is sampled uniformly with a sampling period $T_s$. In which one of the following cases is the sampled signal periodic? $T =\sqrt2 \: T_s$ $T = 1.2 \: T_s$ Always Never

edited Nov 18, 2020 in Continuous-time Signals by soujanyareddy13 (100 points)