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161
GATE Electrical 2018 | Question: 54
The equivalent circuit of a single phase induction motor is shown in the figure, where the parameters are $R_1 =R_2=X_{l1}=X_{l2} = 12 \Omega$, $X_M=240 \: \Omega$ and $S$ is the slip. At no-load, the motor speed can be approximated to the synchronous speed. The no-load lagging power factor of the motor is __________ (up to $3$ decimal places).
The equivalent circuit of a single phase induction motor is shown in the figure, where the parameters are $R_1 =R_2=X_{l1}=X_{l2} = 12 \Omega$, $X_M=240 \: \Omega$ and $S...
Arjun
15.9k
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Arjun
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Feb 19, 2018
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162
GATE Electrical 2021 | Question: 6
If the input $x(t)$ and output $y(t)$ of a system are related as $y\left ( t \right )=\text{max}\left ( 0,x\left ( t \right ) \right ),$ then the system is linear and time-variant linear and time-invariant non-linear and time-variant non-linear and time-invariant
If the input $x(t)$ and output $y(t)$ of a system are related as $y\left ( t \right )=\text{max}\left ( 0,x\left ( t \right ) \right ),$ then the system islinear and time...
Arjun
15.9k
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Arjun
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Feb 19, 2021
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163
GATE Electrical 2023 | Question: 20
A separately excited $\text{DC}$ motor rated $400 \mathrm{~V}, 15 \mathrm{~A}, 1500\mathrm{~ RPM}$ drives a constant torqueload at rated speed operating from $400 \mathrm{~V}$ $\text{DC}$ supply drawing rated current. The armature ... field current unaltered then the resultant speed of the motor in $\mathrm{~ RPM}$ is_________ (Round off to the nearest integer).
A separately excited $\text{DC}$ motor rated $400 \mathrm{~V}, 15 \mathrm{~A}, 1500\mathrm{~ RPM}$ drives a constant torqueload at rated speed operating from $400 \mathrm...
admin
1.7k
points
admin
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May 20, 2023
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164
GATE Electrical 2021 | Question: 30
The input impedance, $Z_{in}\left ( s \right )$ for the network shown is $\frac{23s^{2}+46s+20}{4s+5}$ $6s+4$ $7s+4$ $\frac{25s^{2}+46s+20}{4s+5}$
The input impedance, $Z_{in}\left ( s \right )$ for the network shown is$\frac{23s^{2}+46s+20}{4s+5}$$6s+4$$7s+4$$\frac{25s^{2}+46s+20}{4s+5}$
Arjun
15.9k
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Arjun
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Feb 19, 2021
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165
GATE Electrical 2022 | Question: 19
The maximum clock frequency in $\text{MHz}$ of a $4$ – stage ripple counter, utilizing flip-flops, with each flip-flop having a propagation delay of $20\:ns$, is _______________. (round off to one decimal place)
The maximum clock frequency in $\text{MHz}$ of a $4$ – stage ripple counter, utilizing flip-flops, with each flip-flop having a propagation delay of $20\:ns$, is ______...
Arjun
15.9k
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Arjun
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Feb 15, 2022
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166
GATE Electrical 2023 | Question: 7
A continuous-time system that is initially at rest is described by $ \frac{d y(t)}{d t}+3 y(t)=2 x(t),$ where$x(t)$ is the input voltage and $y(t)$ is the output voltage. The impulse response of the system is $3 e^{-2 t}$ $\frac{1}{3} e^{-2 t} u(t)$ $2 e^{-3 t} u(t)$ $2 e^{-3 t}$
A continuous-time system that is initially at rest is described by $$ \frac{d y(t)}{d t}+3 y(t)=2 x(t),$$ where$x(t)$ is the input voltage and $y(t)$ is the output voltag...
admin
1.7k
points
admin
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May 20, 2023
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167
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 ...
Arjun
15.9k
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Arjun
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Feb 15, 2022
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168
GATE Electrical 2019 | Question: 29
The asymptotic Bode magnitude plot of a minimum phase transfer function $G(s)$ is shown below. Consider the following two statements. Statement I: Transfer function $G(s)$ has three poles and one zero. Statement II: At very high frequency ... II is false Statement I is false and statement II is true Both the statements are true Both the statements are false
The asymptotic Bode magnitude plot of a minimum phase transfer function $G(s)$ is shown below.Consider the following two statements.Statement I: Transfer function $G(s)$ ...
Arjun
15.9k
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Arjun
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Feb 12, 2019
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169
GATE Electrical 2015 Set 2 | Question: 53
The unit step response of a system with the transfer function $G(s)=\dfrac{1-2s}{1+s}$ is given by which one of the following waveforms?
The unit step response of a system with the transfer function $G(s)=\dfrac{1-2s}{1+s}$ is given by which one of the following waveforms?
makhdoom ghaya
9.4k
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makhdoom ghaya
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Feb 11, 2017
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170
GATE Electrical 2023 | Question: 4
Consider a unity-gain negative feedback system consisting of the plant $G(s)$ (given below) and a proportional-integral controller. Let the proportional gain and integral gain be $3$ and $1,$ respectively. For a unit step reference input, the final values of the controller output and ... respectively, are $G(s)=\frac{1}{s-1}$ $\infty, \infty$ $1,0$ $1,-1$ $-1,1$
Consider a unity-gain negative feedback system consisting of the plant $G(s)$ (given below) and a proportional-integral controller. Let the proportional gain and integral...
admin
1.7k
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admin
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May 20, 2023
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171
GATE Electrical 2021 | Question: 20
The Bode magnitude plot for the transfer function $\frac{V_{o}\left ( s \right )}{V_{i}\left ( s \right )}$ of the circuit is as shown. The value of $R$ is _____________$\Omega$. (Round off to $2$ decimal places.)
The Bode magnitude plot for the transfer function $\frac{V_{o}\left ( s \right )}{V_{i}\left ( s \right )}$ of the circuit is as shown. The value of $R$ is _____________$...
Arjun
15.9k
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Arjun
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Feb 19, 2021
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172
GATE Electrical 2022 | Question: 13
A long conducing cylinder having a radius $'b'$ is placed along the $z$ axis. The current density is $J = J_{a} \:r^{3}\:\hat{z}$ for the region $r< b$ where $r$ is the distance in the radial direction. The magnetic field intensity $\text{(H)}$ for the region inside the conductor ... $\dfrac{J_{a}}{3}\:r^{3}$ $\dfrac{J_{a}}{5}\:r^{4}$ $J_{a}\:r^{3}$
A long conducing cylinder having a radius $’b’$ is placed along the $z$ axis. The current density is $J = J_{a} \:r^{3}\:\hat{z}$ for the region $r< b$ where $r$ is t...
Arjun
15.9k
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Arjun
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Feb 15, 2022
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173
GATE Electrical 2022 | Question: 27
An $\text{LTI}$ system is shown in the figure where $G \left ( s \right ) = \dfrac{100}{s^{2}+0.1s+100}$ The steady state output of the system, to the input $r(t)$, is given as $y \left ( t \right ) = a +b\:\sin\left ( 10t + \theta \right )$ The values of $’a’$ and $’b’$ will be $a = 1, b=10$ $a = 10, b=1$ $a = 1, b=100$ $a = 100, b=1$
An $\text{LTI}$ system is shown in the figure where $$G \left ( s \right ) = \dfrac{100}{s^{2}+0.1s+100}$$ The steady state output of the system, to the input $r(t)$, is ...
Arjun
15.9k
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Arjun
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Feb 15, 2022
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174
GATE Electrical 2021 | Question: 7
Two discrete-time linear time-invariant systems with impulse responses $h_{1}\left [ n \right ]=\delta \left [ n-1 \right ]+\delta \left [ n+1 \right ]$ and $h_{2}\left [ n \right ]=\delta \left [ n\right ]+\delta \left [ n-1 \right ]$ are connected in ... $\delta \left [ n\right ]\delta \left [ n-1\right ]+\delta \left [ n-2\right ]\delta \left [ n+1 \right ]$
Two discrete-time linear time-invariant systems with impulse responses $h_{1}\left [ n \right ]=\delta \left [ n-1 \right ]+\delta \left [ n+1 \right ]$ and $h_{2}\left [...
Arjun
15.9k
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Arjun
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Feb 19, 2021
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175
GATE Electrical 2018 | Question: 23
The waveform of the current drawn by a semi-converter from a sinusoidal AC voltage source is shown in the figure. If $I_0=20$ A, the rms value of fundamental component of the current is ________ A (up to $2$ decimal places).
The waveform of the current drawn by a semi-converter from a sinusoidal AC voltage source is shown in the figure. If $I_0=20$ A, the rms value of fundamental component of...
Arjun
15.9k
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Arjun
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Feb 19, 2018
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176
GATE Electrical 2017 Set 1 | Question: 4
A solid iron cylinder is placed in a region containing a uniform magnetic field such that the cylinder axis is parallel to the magnetic field direction. The magnetic field lines inside the cylinder will Bend closer to the cylinder axis Bend farther away from the axis Remain uniform as before Cease to exist inside the cylinder
A solid iron cylinder is placed in a region containing a uniform magnetic field such that the cylinder axis is parallel to the magnetic field direction. The magnetic fiel...
Arjun
15.9k
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Arjun
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Feb 26, 2017
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177
GATE Electrical 2020 | Question: 19
The Thevenin equivalent voltage, $V_{TH}$, in $\text{V}$ (rounded off to $2$ decimal places) of the network shown below, is _______
The Thevenin equivalent voltage, $V_{TH}$, in $\text{V}$ (rounded off to $2$ decimal places) of the network shown below, is _______
go_editor
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go_editor
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Feb 28, 2020
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178
GATE Electrical 2019 | Question: 40
The probability of a resistor being deflective is $0.02$. There are $50$ such resistors in a circuit. The probability of two or more defective resistors in the circuit (round off to two decimal places) is _______________
The probability of a resistor being deflective is $0.02$. There are $50$ such resistors in a circuit. The probability of two or more defective resistors in the circuit (r...
Arjun
15.9k
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Arjun
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Feb 12, 2019
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179
GATE Electrical 2023 | Question: 17
Which of the following statement(s) is/are true? If an $\text{LTI}$ system is causal, it is stable A discrete time $\text{LTI}$ system is causal if and only if its response to a step input $u[n]$ is $0$ for $n<0$ ... the system is stable If the impulse response $0<|h[n]|<1$ for all $n$, then the $\text{LTI}$ system is stable.
Which of the following statement(s) is/are true? If an $\text{LTI}$ system is causal, it is stableA discrete time $\text{LTI}$ system is causal if and only if its respons...
admin
1.7k
points
admin
asked
May 20, 2023
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180
GATE Electrical 2022 | Question: 53
A $4$-pole induction motor with inertia of $0.1\; kg-m^{2}$ drives a constant load torque of $2\; Nm$. The speed of the motor is increased linearly from $1000$ $\text{rpm}$ to $1500$ $\text{rpm}$ in $4$ ... Neglect losses in the motor. The energy, in joules, consumed by the motor during the speed change is ____________________. (round off to nearest integer)
A $4$-pole induction motor with inertia of $0.1\; kg-m^{2}$ drives a constant load torque of $2\; Nm$. The speed of the motor is increased linearly from $1000$ $\text{rpm...
Arjun
15.9k
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Arjun
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Feb 15, 2022
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181
GATE Electrical 2020 | Question: 17
A three-phase, $\text{50 Hz}$, $4$-pole induction motor runs at no-load with a slip of $1\%$. With full load, the slip increases to $5 \%$. The $\%$ speed regulation of the motor (rounded off to $2$ decimal places) is _____________________.
A three-phase, $\text{50 Hz}$, $4$-pole induction motor runs at no-load with a slip of $1\%$. With full load, the slip increases to $5 \%$. The $\%$ speed regulation of t...
go_editor
1.9k
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go_editor
asked
Feb 28, 2020
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182
GATE Electrical 2020 | Question: 52
A non-ideal $\text{Si}$-based $\text{pn}$ junction diode is tested by sweeping the bias applied across its terminals from $-5\:V$ to $5\:V$. The effective thermal voltage, $V_{T}$ ... percentage uncertainty (rounded off to $2$ decimal places) in the measured current at a bias voltage of $\text{0.02 V}$ is ____________.
A non-ideal $\text{Si}$-based $\text{pn}$ junction diode is tested by sweeping the bias applied across its terminals from $-5\:V$ to $5\:V$. The effective thermal voltage...
go_editor
1.9k
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go_editor
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Feb 28, 2020
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183
GATE Electrical 2019 | Question: 10
The parameter of an equivalent circuit of a three-phase induction motor affected by reducing the rms value of the supply voltage at the rated frequency is rotor resistance rotor leakage reactance magnetizing reactance stator resistance
The parameter of an equivalent circuit of a three-phase induction motor affected by reducing the rms value of the supply voltage at the rated frequency isrotor resistance...
Arjun
15.9k
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Arjun
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Feb 12, 2019
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184
GATE Electrical 2017 Set 2 | Question: 37
For the circuit shown in the figure below, it is given that $V_{CE}=\frac{V_{CC}}{2}$. The transistor has $\beta=29$ and $V_{BE}=0.7 V$ when the $B-E$ junction is forward biased. For this circuit, the value of $\frac{R_{B}}{R}$ is $43$ $92$ $121$ $129$
For the circuit shown in the figure below, it is given that $V_{CE}=\frac{V_{CC}}{2}$. The transistor has $\beta=29$ and $V_{BE}=0.7 V$ when the $B-E$ junction is forward...
Arjun
15.9k
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Arjun
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Feb 26, 2017
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185
GATE Electrical 2012 | Question: 52
In the circuit shown, the three voltmeter readings are $V_1 =220$ V, $V_2=122$ V, $V_3=136$ V. The power factor of the load is $0.45$ $0.50$ $0.55$ $0.60$
In the circuit shown, the three voltmeter readings are $V_1 =220$ V, $V_2=122$ V, $V_3=136$ V.The power factor of the load is$0.45$$0.50$$0.55$$0.60$
Andrijana3306
1.4k
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Andrijana3306
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Mar 23, 2018
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186
GATE Electrical 2018 | Question: 4
Four power semiconductor devices are shown in the figure along with their relevant terminals. The device(s) that can carry dc current continuously in the direction shown when gated appropriately is (are) Triac only Triac and MOSFET Triac and GTO Thyristor and Triac
Four power semiconductor devices are shown in the figure along with their relevant terminals. The device(s) that can carry dc current continuously in the direction shown ...
Arjun
15.9k
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Arjun
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Feb 19, 2018
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187
GATE Electrical 2021 | Question: 14
In the given circuit, the value of capacitor $C$ that makes current $I=0$ is ________________ $\mu F$.
In the given circuit, the value of capacitor $C$ that makes current $I=0$ is ________________ $\mu F$.
Arjun
15.9k
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Arjun
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Feb 19, 2021
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188
GATE Electrical 2019 | Question: 44
The magnetic circuit shown below has uniform cross-sectional area and air gap of $0.2$ cm. The mean path length of the core is $40$ cm. Assume that leakage and fringing fluxes are negligible. When the core relative permeability is assumed to be ... $1000$ (linear), the flux density in tesla (round off to three decimal places) calculated in the air gap is _______
The magnetic circuit shown below has uniform cross-sectional area and air gap of $0.2$ cm. The mean path length of the core is $40$ cm. Assume that leakage and fringing f...
Arjun
15.9k
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Arjun
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Feb 12, 2019
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189
GATE Electrical 2019 | Question: 17
A current controlled current source (CCCS) has an input impedance of $10 \: \Omega$ and output impedance of $100 \: k\Omega$. When this CCCS is used in a negative feedback closed loop with a loop gain of $9$, the closed loop output impedance is $10 \: \Omega$ $100 \: \Omega$ $100 \: k \Omega$ $1000 \: k \Omega$
A current controlled current source (CCCS) has an input impedance of $10 \: \Omega$ and output impedance of $100 \: k\Omega$. When this CCCS is used in a negative feedbac...
Arjun
15.9k
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Arjun
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Feb 12, 2019
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190
GATE Electrical 2021 | Question: 21
A signal generator having a source resistance of $50\:\Omega$ is set to generate a $\text{1 kHz}$ sinewave. Open circuit terminal voltage is $\text{10 V}$ peak-to-peak. Connecting a capacitor across the terminals reduces the voltage to $\text{8 V}$ peak-to-peak. The value of this capacitor is _____________$\mu F$. (Round off to $2$ decimal places.)
A signal generator having a source resistance of $50\:\Omega$ is set to generate a $\text{1 kHz}$ sinewave. Open circuit terminal voltage is $\text{10 V}$ peak-to-peak. C...
Arjun
15.9k
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Arjun
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Feb 19, 2021
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191
GATE Electrical 2020 | Question: 6
$x_{R}$ and $x_{A}$ are, respectively, the rms and average values of $x\left ( t \right )=x\left ( t-T \right ),$ and similarly, $y_{R}$ and $y_{A}$ are, respectively, the rms and average values of $y\left ( t \right )=kx\left ( t \right ).\:k,T$ are independent of ... $y_{A}\neq kx_{A} ;\:y_{R}= kx_{R}$ $y_{A}\neq kx_{A} ;\:y_{R}\neq kx_{R}$
$x_{R}$ and $x_{A}$ are, respectively, the rms and average values of $x\left ( t \right )=x\left ( t-T \right ),$ and similarly, $y_{R}$ and $y_{A}$ are, respectively, th...
go_editor
1.9k
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go_editor
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Feb 28, 2020
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192
GATE Electrical 2017 Set 1 | Question: 31
Let the signal $x(t)=\sum_{k=-\infty }^{+\infty } (-1)^{k} \delta (t-\frac{k}{2000})$ be passed through an LTI system with frequency response $H(\omega )$ ... $2000+2000\cos (2000 \pi t)+2000\cos (4000 \pi t)$ $4000\cos (2000 \pi t)$ $2000\cos (2000 \pi t)$
Let the signal$x(t)=\sum_{k=-\infty }^{+\infty } (-1)^{k} \delta (t-\frac{k}{2000})$be passed through an LTI system with frequency response $H(\omega )$, as given in the ...
Arjun
15.9k
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Arjun
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Feb 26, 2017
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193
GATE Electrical 2020 | Question: 15
A sequence detector is designed to detect precisely $3$ digital inputs, with overlapping sequences detectable. For the sequence $\text{(1,0,1)}$ and input data $(1,1,0,1,0,0,1,1,0,1,0,1,1,0)$, what is the output of this detector? $1,1,0,0,0,0,1,1,0,1,0,0$ $0,1,0,0,0,0,0,1,0,1,0,0$ $0,1,0,0,0,0,0,1,0,1,1,0$ $0,1,0,0,0,0,0,0,1,0,0,0$
A sequence detector is designed to detect precisely $3$ digital inputs, with overlapping sequences detectable. For the sequence $\text{(1,0,1)}$ and input data $(1,1,0,1,...
go_editor
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go_editor
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Feb 28, 2020
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194
GATE Electrical 2019 | Question: 15
The characteristic equation of a linear time-invariant (LTI) system is given by $\Delta(s)=s^{4}+3s^{3}+3s^{2}+s+k=0$ The system is BIBO stable if $0<K<\frac{12}{9}$ $k>3$ $0<k<\frac{8}{9}$ $k>6$
The characteristic equation of a linear time-invariant (LTI) system is given by$$\Delta(s)=s^{4}+3s^{3}+3s^{2}+s+k=0$$The system is BIBO stable if$0<K<\frac{12}{9}$$k>3$$...
Arjun
15.9k
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Arjun
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Feb 12, 2019
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195
GATE Electrical 2018 | Question: 52
A $200$ V DC series motor, when operating from rated voltage while driving a certain load, draws $10$ A current and runs at $1000$ r.p.m. The total series resistance is $1 \: \Omega$. The magnetic circuit is assumed to be linear. At the ... the load torque is increased by $44 \%$. The speed of the motor in r.p.m (rounded to the nearest integer) is _____________
A $200$ V DC series motor, when operating from rated voltage while driving a certain load, draws $10$ A current and runs at $1000$ r.p.m. The total series resistance is $...
Arjun
15.9k
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Arjun
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Feb 19, 2018
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196
GATE Electrical 2020 | Question: 4
Consider a signal $x\left [ n \right ]=\left ( \dfrac{1}{2} \right )^{n}1\left [ n \right ],$ where $1\left [ n \right ]=0$ if $n< 0$, and $1\left [ n \right ]= 1$ if $n \geq 0.$ The z-transform of $x\left [ n-k \right ],\:k> 0$ is ... of convergence being $\mid z \mid< 2$ $\mid z \mid> 2$ $\mid z \mid < \dfrac{1}{2}$ $\mid z \mid > \dfrac{1}{2}$
Consider a signal $x\left [ n \right ]=\left ( \dfrac{1}{2} \right )^{n}1\left [ n \right ],$ where $1\left [ n \right ]=0$ if $n< 0$, and $1\left [ n \right ]= 1$ if $n ...
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1.9k
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go_editor
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Feb 28, 2020
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197
GATE Electrical 2019 | Question: 9
A six-pulse thyristor bridge rectifier is connected to a balanced three-phase, $50Hz$ AC source. Assuming that the DC output current of the rectifier is constant, the lowest harmonic component in the AC input current is $100 Hz$ $150 Hz$ $250 Hz$ $300 Hz$
A six-pulse thyristor bridge rectifier is connected to a balanced three-phase, $50Hz$ AC source. Assuming that the DC output current of the rectifier is constant, the low...
Arjun
15.9k
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Arjun
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Feb 12, 2019
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198
GATE Electrical 2019 | Question: 7
The symbols, $a$ and $T,$ represent positive quantities, and $u(t)$ is the unit step function. Which one of the following impulse responses is NOT the output of a causal linear time-invariant system? $e^{+at}u(t)$ $e^{-a(t+T)}u(t)$ $1+e^{-at}u(t)$ $e^{-a(t-T)}u(t)$
The symbols, $a$ and $T,$ represent positive quantities, and $u(t)$ is the unit step function. Which one of the following impulse responses is NOT the output of a causal ...
Arjun
15.9k
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Arjun
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Feb 12, 2019
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199
GATE Electrical 2019 | Question: 52
In a $132$ kV system, the series inductance up to the point of circuit breaker location is $50$ mH. The shunt capacitance at the circuit breaker terminal is $0.05 \: \mu F$. The critical value of resistance in ohms required to be connected across the circuit breaker contacts which will give no transient oscillation is ______
In a $132$ kV system, the series inductance up to the point of circuit breaker location is $50$ mH. The shunt capacitance at the circuit breaker terminal is $0.05 \: \mu ...
Arjun
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Arjun
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Feb 12, 2019
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GATE Electrical 2017 Set 1 | Question: 46
Two parallel connected, three-phase, $50$Hz, $11$kV, star-connected synchronous machines $A$ and $B$, are operating as synchronous condensers. They together supply $50$MVAR to a $11$kV grid. Current supplied by both the machines are equal. ... excitation current of machine $A$ to that of machine $B$ is _______. (Give the answer up to two decimal places.)
Two parallel connected, three-phase, $50$Hz, $11$kV, star-connected synchronous machines $A$ and $B$, are operating as synchronous condensers. They together supply $50$MV...
Arjun
15.9k
points
Arjun
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Feb 26, 2017
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