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123
GATE Electrical 2023 | Question: 40
The discrete-time Fourier transform of a signal $ x[n]$ is $X (\Omega)=(1+\cos \Omega) e^{-j \Omega}$ Consider that $ x_{p}[n]$ is a periodic signal of period $ \mathrm{N}=5$ ... $a_{3}$ is_____________ (Round off to $3$ decimal places).
The discrete-time Fourier transform of a signal $ x[n]$ is $X (\Omega)=(1+\cos \Omega) e^{-j \Omega}$ Consider that $ x_{p}[n]$ is a periodic signal of period $ \mathrm{N...
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126
GATE Electrical 2023 | Question: 39
The period of the discrete-time signal $ x[n]$ described by the equation below is $N=$________ (Round off to the nearest integer). $x[n]=1+3 \sin \left(\frac{15 \pi}{8} n+\frac{3 \pi}{4}\right)-5 \sin \left(\frac{\pi}{3} n-\frac{\pi}{4}\right)$
The period of the discrete-time signal $ x[n]$ described by the equation below is $N=$________ (Round off to the nearest integer).$$x[n]=1+3 \sin \left(\frac{15 \pi}{8} n...
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127
GATE Electrical 2023 | Question: 47
In a given $8$-bit general purpose micro-controller there are following flags. $\text{C-Carry, A-Auxiliary Carry, O-Overflow flag, P-Parity}$ ($0$ for even, $1$ for odd) $\text{R0}$ and $\text{R1}$ are the two general purpose registers of the micro-controller. After execution ...
In a given $8$-bit general purpose micro-controller there are following flags. $\text{C-Carry, A-Auxiliary Carry, O-Overflow flag, P-Parity}$ ($0$ for even, $1$ for odd) ...
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129
GATE Electrical 2023 | Question: 52
The closed curve shown in the figure is described by $r=1+\cos \theta,$ where $r=\sqrt{x^{2}+y^{2}} ; x=r \cos \theta, y=r \sin \theta$ The magnitude of the line integral of the vector field $ F=-y \hat{\imath}+x \hat{\jmath}$ around the closed curve is __________(Round off to $2$ decimal places).
The closed curve shown in the figure is described by $r=1+\cos \theta,$ where $r=\sqrt{x^{2}+y^{2}} ; x=r \cos \theta, y=r \sin \theta$ The magnitude of the line integra...
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133
GATE Electrical 2021 | Question: 38
Let $A$ be a $10\times10$ matrix such that $A^{5}$ is a null matrix, and let $I$ be the $10\times10$ identity matrix. The determinant of $\text{A+I}$ is ___________________.
Let $A$ be a $10\times10$ matrix such that $A^{5}$ is a null matrix, and let $I$ be the $10\times10$ identity matrix. The determinant of $\text{A+I}$ is _________________...
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1 answer
134
GATE Electrical 2022 | Question: 16
A $\text{MOD 2}$ and a $\text{MOD 5}$ up-counter when cascade together results in a $\text{MOD}$ _________________ counter. (in integer)
A $\text{MOD 2}$ and a $\text{MOD 5}$ up-counter when cascade together results in a $\text{MOD}$ _________________ counter. (in integer)
1 votes
1 answer
143
GATE Electrical 2022 | GA Question: 1
As you grow older, an injury to your ______________ may take longer to ____________. heel / heel heal / heel heal / heal heel / heal
As you grow older, an injury to your ______________ may take longer to ____________.heel / heelheal / heelheal / healheel / heal
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1 answer
144
GATE Electrical 2022 | GA Question: 2
In a $500\;m$ race, $P$ and $Q$ have speeds in the ratio of $3 : 4$. $Q$ starts the race when $P$ has already covered $140\; m$. What is the distance between $P$ and $Q$ (in $m$) when $P$ wins the race? $20$ $40$ $60$ $140$
In a $500\;m$ race, $P$ and $Q$ have speeds in the ratio of $3 : 4$. $Q$ starts the race when $P$ has already covered $140\; m$.What is the distance between $P$ and $Q$ (...
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145
GATE Electrical 2022 | Question: 14
The type of single-phase induction motor, expected to have the maximum power factor during steady state running condition, is split phase (resistance start). shaded pole. capacitor start. capacitor start, capacitor run.
The type of single-phase induction motor, expected to have the maximum power factor during steady state running condition, issplit phase (resistance start).shaded pole.ca...
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146
GATE Electrical 2022 | Question: 3
The most commonly used relay, for the protection of an alternator against loss of excitation, is offset Mho relay. over current relay. differential relay. Buchholz relay.
The most commonly used relay, for the protection of an alternator against loss of excitation, isoffset Mho relay.over current relay.differential relay.Buchholz relay.
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148
GATE Electrical 2022 | Question: 4
The geometric mean radius of a conductor, having four equal strands with each strand of radius $’r’$, as shown in the figure below, is $4\:r$ $1.414\:r$ $2\:r$ $1.723\:r$
The geometric mean radius of a conductor, having four equal strands with each strand of radius $’r’$, as shown in the figure below, is $4\:r$$1.414\:r$$2\:r$$1.723\:r...
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149
GATE Electrical 2022 | Question: 2
For an ideal $\text{MOSFET}$ biased in saturation, the magnitude of the small signal current gain for a common drain amplifier is $0$ $1$ $100$ infinite
For an ideal $\text{MOSFET}$ biased in saturation, the magnitude of the small signal current gain for a common drain amplifier is$0$$1$$100$infinite
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150
GATE Electrical 2022 | Question: 5
The valid positive, negative and zero sequence impedances (in p.u), respectively, for a $220$ $\text{kV}$, fully transposed three-phase transmission line, from the given choices are $1.1, \: 0.15$ and $0.08$ $0.15, \: 0.15$ and $0.35$ $0.2, \: 0.2$ and $0.2$ $0.1, \: 0.3$ and $0.1$
The valid positive, negative and zero sequence impedances (in p.u), respectively, for a $220$ $\text{kV}$, fully transposed three-phase transmission line, from the given ...
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151
GATE Electrical 2022 | Question: 1
The transfer function of a real system, $H(s)$, is given as: $H\left ( s \right ) = \dfrac{As + B}{S^{2} + Cs + D}$ where $\text{A, B, C}$ and $D$ are positive constants. This system cannot operate as low pass filter. high pass filter. band pass filter. an integrator.
The transfer function of a real system, $H(s)$, is given as:$H\left ( s \right ) = \dfrac{As + B}{S^{2} + Cs + D}$where $\text{A, B, C}$ and $D$ are positive constants. T...
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153
GATE Electrical 2022 | Question: 17
An inductor having a $Q$ – factor of $60$ is connected in series with a capacitor having a $Q$ – factor of $240$. The overall $Q$ -factor of the circuit is _______________. (round off to nearest integer)
An inductor having a $Q$ – factor of $60$ is connected in series with a capacitor having a $Q$ – factor of $240$. The overall $Q$ -factor of the circuit is __________...
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154
GATE Electrical 2022 | Question: 20
If only $5\%$ of the supplied power to a cable reaches the output terminal, the power loss in the cable, in decibels, is ________________. (round off to nearest integer)
If only $5\%$ of the supplied power to a cable reaches the output terminal, the power loss in the cable, in decibels, is ________________. (round off to nearest integer)
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156
GATE Electrical 2022 | Question: 6
The steady state output ($V_{\text{out}}$), of the circuit shown below, will saturate to $+V_{DD}$ saturate to $-V_{EE}$ become equal to $0.1\:V$ become equal to $-0.1\:V$
The steady state output ($V_{\text{out}}$), of the circuit shown below, willsaturate to $+V_{DD}$saturate to $-V_{EE}$become equal to $0.1\:V$become equal to $-0.1\:V$
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157
GATE Electrical 2022 | Question: 23
The voltage at the input of an $\text{AC-DC}$ rectifier is given by $v\left ( t \right ) = 230 \sqrt{2} \sin \omega t$ where $\omega = 2\pi \times 50$ ... . The input power factor, (rounded off to two decimal places), is, _______________________ lag.
The voltage at the input of an $\text{AC-DC}$ rectifier is given by $v\left ( t \right ) = 230 \sqrt{2} \sin \omega t$ where $\omega = 2\pi \times 50$ rad/s. The input cu...
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158
GATE Electrical 2022 | Question: 26
The output impedance of a non-ideal operational amplifier is denoted by $Z_{out}$. The variation in the magnitude of $Z_{out}$ with increasing frequency, $f$, in the circuit shown below, is best represented by A. B. C. D.
The output impedance of a non-ideal operational amplifier is denoted by $Z_{out}$. The variation in the magnitude of $Z_{out}$ with increasing frequency, $f$, in the circ...
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159
GATE Electrical 2022 | Question: 25
The frequencies of the stator and rotor currents flowing in a three-phase $8$-pole induction motor are $40\:Hz$ and $1\:Hz$, respectively. The motor speed, in $\text{rpm}$, is ________________. (round off to nearest integer)
The frequencies of the stator and rotor currents flowing in a three-phase $8$-pole induction motor are $40\:Hz$ and $1\:Hz$, respectively. The motor speed, in $\text{rpm}...
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160
GATE Electrical 2022 | Question: 18
The network shown below has a resonant frequency of $150$ $\text{kHz}$ and a bandwidth of $600$ $\text{Hz}$. The $Q$ –factor of the network is ______________. (round off to nearest integer)
The network shown below has a resonant frequency of $150$ $\text{kHz}$ and a bandwidth of $600$ $\text{Hz}$. The $Q$ –factor of the network is ______________. (round of...
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