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201
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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202
GATE Electrical 2023 | Question: 41
For the circuit shown, if $ i=\sin 1000 t,$ the instantaneous value of the Thevenin's equivalent voltage (in Volts) across the terminals $a-b$ at time $t=5 \mathrm{~ms}$ is__________(Round off to $2$ decimal places).
For the circuit shown, if $ i=\sin 1000 t,$ the instantaneous value of the Thevenin's equivalent voltage (in Volts) across the terminals $a-b$ at time $t=5 \mathrm{~ms}$...
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203
GATE Electrical 2023 | Question: 42
The admittance parameters of the passive resistive two-port network shown in the figure are $y_{11}=5 S, y_{22}=1 S, y_{12}=y_{21}=-2.5 S$ The power delivered to the load resistor $ R_{L}$ in Watt is _______(Round off to $2$ decimal places).
The admittance parameters of the passive resistive two-port network shown in the figure are$$y_{11}=5 S, y_{22}=1 S, y_{12}=y_{21}=-2.5 S$$The power delivered to the load...
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207
GATE Electrical 2023 | Question: 46
Neglecting the delays due to the logic gates in the circuit shown in figure, the decimal equivalent of the binary sequence $\text{[ABCD]}$ of initial logic states, which will not change with clock, is_______.
Neglecting the delays due to the logic gates in the circuit shown in figure, the decimal equivalent of the binary sequence $\text{[ABCD]}$ of initial logic states, which ...
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208
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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213
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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216
GATE Electrical 2023 | Question: 55
A quadratic function of two variables is given as $ f\left(x_{1}, x_{2}\right)=x_{1}^{2}+2 x_{2}^{2}+3 x_{1}+3 x_{2}+x_{1} x_{2}+1$ The magnitude of the maximum rate of change of the function at the point $(1,1)$ is__________(Round off to the nearest integer). }
A quadratic function of two variables is given as $$ f\left(x_{1}, x_{2}\right)=x_{1}^{2}+2 x_{2}^{2}+3 x_{1}+3 x_{2}+x_{1} x_{2}+1$$The magnitude of the maximum rate of...
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218
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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219
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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220
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.
1 votes
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221
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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222
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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223
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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226
GATE Electrical 2022 | Question: 9
The open loop transfer function of a unity gain negative feedback system is given by $G\left ( s \right ) = \dfrac{k}{s^{2}+4s-5}$. The range of $k$ for which the system is stable, is $k> 3$ $k< 3$ $k> 5$ $k< 5$
The open loop transfer function of a unity gain negative feedback system is given by $G\left ( s \right ) = \dfrac{k}{s^{2}+4s-5}$. The range of $k$ for which the system ...
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227
GATE Electrical 2022 | Question: 10
Consider a $3\times 3$ matrix $A$ whose $(i,j)$-th element, $a_{i,j} = \left ( i- j \right )^{3}$. Then the matrix $A$ will be symmetric skew-symmetric unitary null
Consider a $3\times 3$ matrix $A$ whose $(i,j)$-th element, $a_{i,j} = \left ( i- j \right )^{3}$. Then the matrix $A$ will besymmetricskew-symmetricunitarynull
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229
GATE Electrical 2022 | Question: 12
A charger supplies $100\:W$ at $20\:V$ for charging the battery of a laptop. The power devices, used in the converter inside the charger, operate at a switching frequency of $200$ $\text{kHz}$. Which power device is best suited for this purpose? $\text{IGBT}$ Thyristor $\text{MOSFET}$ $\text{BJT}$
A charger supplies $100\:W$ at $20\:V$ for charging the battery of a laptop. The power devices, used in the converter inside the charger, operate at a switching frequency...
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231
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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232
GATE Electrical 2022 | Question: 15
For the circuit shown below with ideal diodes, the output will be $V_{\text{out}} = V _{\text{in}}$ for $V_{\text{in}}> 0$ $V_{\text{out}} = V_{\text{in}}$ for $V_{\text{in}}< 0$ $V_{\text{out}} = -V_{\text{in}}$ for $V_{\text{in}}> 0$ $V_{\text{out}} = -V_{\text{in}}$ for $V_{\text{in}}< 0$
For the circuit shown below with ideal diodes, the output will be$V_{\text{out}} = V _{\text{in}}$ for $V_{\text{in}} 0$$V_{\text{out}} = V_{\text{in}}$ for $V_{\text{in...
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233
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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234
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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235
GATE Electrical 2022 | Question: 19
The maximum clock frequency in $\text{MHz}$ of a $4$ – stage ripple counter, utilizing flip-flops, with each flip-flop having a propagation delay of $20\:ns$, is _______________. (round off to one decimal place)
The maximum clock frequency in $\text{MHz}$ of a $4$ – stage ripple counter, utilizing flip-flops, with each flip-flop having a propagation delay of $20\:ns$, is ______...
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236
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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237
GATE Electrical 2022 | Question: 21
In the circuit shown below, the switch $S$ is closed at $t = 0$. The magnitude of the steady state voltage, in volts, across the $6 \Omega$ resistor is ________________. (round off to two decimal places)
In the circuit shown below, the switch $S$ is closed at $t = 0$. The magnitude of the steady state voltage, in volts, across the $6 \Omega$ resistor is ________________. ...
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238
GATE Electrical 2022 | Question: 22
A single-phase full-bridge diode rectifier feeds a resistive load of $50\; \Omega$ from a $200\:V$, $50\:Hz$ single phase $\text{AC}$ supply. If the diodes are ideal, then the active power, in watts, drawn by the load is __________________. (round off to nearest integer)
A single-phase full-bridge diode rectifier feeds a resistive load of $50\; \Omega$ from a $200\:V$, $50\:Hz$ single phase $\text{AC}$ supply. If the diodes are ideal, the...
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239
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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