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281
GATE Electrical 2023 | Question: 24
In the following differential equation, the numerically obtained value of $y(t),$ at $t=1,$ is ___________ (Round off to $2$ decimal places). $\frac{d y}{d t}=\frac{e^{-\alpha t}}{2+\alpha t}, \quad \alpha=0.01$ and $y(0)=0$
In the following differential equation, the numerically obtained value of $y(t),$ at $t=1,$ is ___________ (Round off to $2$ decimal places). $\frac{d y}{d t}=\frac{e^{-...
admin
1.7k
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admin
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May 20, 2023
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282
GATE Electrical 2020 | Question: 50
In the $\text{dc-dc}$ converter circuit shown, switch $\text{Q}$ is switched at a frequency of $10 \: kHz$ with a duty ratio of $0.6$. All components of the circuit are ideal, and the initial current in the inductor is zero. Energy stored in the inductor in $\text{mJ}$ (rounded off to $2$ decimal places) at the end of $10$ complete switching cycles is _________.
In the $\text{dc-dc}$ converter circuit shown, switch $\text{Q}$ is switched at a frequency of $10 \: kHz$ with a duty ratio of $0.6$. All components of the circuit are i...
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1.9k
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go_editor
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Feb 28, 2020
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283
GATE Electrical 2012 | Question: 54
The transfer function of a compensator is given as $G_c(s) = \frac{s+a}{s+b}$ $G_c(s)$ is a lead compensator if $a=1, \: b=2$ $a=3, \: b=2$ $a=-3, \: b=-1$ $a=3, \: b=1$
The transfer function of a compensator is given as $$G_c(s) = \frac{s+a}{s+b}$$$G_c(s)$ is a lead compensator if$a=1, \: b=2$$a=3, \: b=2$$a=-3, \: b=-1$$a=3, \: b=1$
Andrijana3306
1.4k
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Andrijana3306
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Mar 23, 2018
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284
GATE Electrical 2021 | Question: 54
Consider the buck-boost converter shown. Switch $Q$ is operating at $\text{25 kHz}$ and $0.75$ duty-cycle. Assume diode and switch to be ideal. Under steady-state condition, the average current flowing through the indicator is ____________$A$.
Consider the buck-boost converter shown. Switch $Q$ is operating at $\text{25 kHz}$ and $0.75$ duty-cycle. Assume diode and switch to be ideal. Under steady-state conditi...
Arjun
15.9k
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Arjun
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Feb 19, 2021
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285
GATE Electrical 2017 Set 2 | Question: 36
Which of the following systems has maximum peak overshoot due to a unit step input? $\frac{100}{s^{2}+10s+100} \\$ $\frac{100}{s^{2}+15s+100} \\ $ $\frac{100}{s^{2}+5s+100} \\$ $\frac{100}{s^{2}+20s+100}$
Which of the following systems has maximum peak overshoot due to a unit step input?$\frac{100}{s^{2}+10s+100} \\$$\frac{100}{s^{2}+15s+100} \\ $$\frac{100}{s^{2}+5s+100} ...
Arjun
15.9k
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Arjun
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Feb 26, 2017
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286
GATE Electrical 2022 | Question: 31
Let $f\left ( x \right ) = \int_{0}^{x} e^{t}\left ( t-1 \right )\left ( t-2 \right )dt$. Then $f\left ( x \right )$ decreases in the interval $x \in \left ( 1,2 \right )$ $x \in \left ( 2,3 \right )$ $x \in \left ( 0, 1 \right )$ $x \in \left ( 0.5, 1 \right )$
Let $f\left ( x \right ) = \int_{0}^{x} e^{t}\left ( t-1 \right )\left ( t-2 \right )dt$. Then $f\left ( x \right )$ decreases in the interval$x \in \left ( 1,2 \right )$...
Arjun
15.9k
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Arjun
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Feb 15, 2022
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287
GATE Electrical 2022 | Question: 55
A $3$-phase, $415\; V$, $4$-pole, $50\:Hz$ induction motor draws $5$ times the rated current at rated voltage at starting. It is required to bring down the starting current from the supply to $2$ times of ... of the autotransformer is neglected, then the transformation ratio of the autotransformer is given by ________________. (round off to two decimal places).
A $3$-phase, $415\; V$, $4$-pole, $50\:Hz$ induction motor draws $5$ times the rated current at rated voltage at starting. It is required to bring down the starting curre...
Arjun
15.9k
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Arjun
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Feb 15, 2022
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288
GATE Electrical 2021 | Question: 12
Inductance is measured by Schering bridge Maxwell bridge Kelvin bridge Wien bridge
Inductance is measured bySchering bridgeMaxwell bridgeKelvin bridgeWien bridge
Arjun
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Arjun
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Feb 19, 2021
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289
GATE Electrical 2017 Set 1 | Question: 45
A $375$W, $230$V, $50$Hz, capacitor start single-phase induction motor has the following constants for the main and auxiliary windings (at starting): $Z_{m}=(12.50+j15.75) \Omega$ ... of the capacitance (in $\mu F$) to be added in series with the auxiliary winding to obtain maximum torque at starting is ________.
A $375$W, $230$V, $50$Hz, capacitor start single-phase induction motor has the following constants for the main and auxiliary windings (at starting): $Z_{m}=(12.50+j15.75...
Arjun
15.9k
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Arjun
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Feb 26, 2017
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290
GATE Electrical 2019 | Question: 53
In a DC-DC boost converter, the duty ratio is controlled to regulate the output voltage at $48$ V. The input DC voltage is $24$ V. The output power is $120$ W. The switching frequency is $50$ kHz. Assume ideal components ... operates at the boundary between continuous and discontinuous conduction modes. The value of the boost inductor (in $\mu H$) is ________
In a DC-DC boost converter, the duty ratio is controlled to regulate the output voltage at $48$ V. The input DC voltage is $24$ V. The output power is $120$ W. The switch...
Arjun
15.9k
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Arjun
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Feb 12, 2019
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291
GATE Electrical 2012 | Question: 49
In the $3$-phase inverter circuit shown, the load is balanced and the gating scheme is $180^{\circ}$-conduction mode. All the switching devices are ideal. If the dc bus voltage $V_d=300$ V, the power consumed by $3$-phase load is $1.5$ kW $2.0$ kW $2.5$ kW $3.0$ kW
In the $3$-phase inverter circuit shown, the load is balanced and the gating scheme is $180^{\circ}$-conduction mode. All the switching devices are ideal.If the dc bus vo...
Andrijana3306
1.4k
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Andrijana3306
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Mar 23, 2018
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292
GATE Electrical 2017 Set 1 | Question: 37
The logical gate implemented using the circuit shown below where $V_{1}$ and $V_{2}$ are inputs (with $0$V as digital $0$ and $5$V as digital $1$) and $V_{out}$ is the output, is NOT NOR NAND XOR
The logical gate implemented using the circuit shown below where $V_{1}$ and $V_{2}$ are inputs (with $0$V as digital $0$ and $5$V as digital $1$) and $V_{out}$ is the ou...
Arjun
15.9k
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Arjun
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Feb 26, 2017
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293
GATE Electrical 2015 Set 2 | Question: 46
Two identical coils each having inductance $L$ are placed together on the same core. If an overall inductance of $\alpha L$ is obtained by interconnecting these two coils, the minimum value of $\alpha$ is ________.
Two identical coils each having inductance $L$ are placed together on the same core. If an overall inductance of $\alpha L$ is obtained by interconnecting these two coils...
makhdoom ghaya
9.4k
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makhdoom ghaya
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Feb 11, 2017
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294
GATE Electrical 2020 | Question: 31
A non-ideal diode is biased with a voltage of $-0.03 \: V$, and a diode current of $I_{1}$ is measured. The thermal voltage is $26 \: mV$ and the ideality factor for the diode is $15/13$. The voltage, in $V$, at which the measured current increases to $1.5 \: I_{1}$ is closest to: $-0.02$ $-0.09$ $-1.50$ $-4.50$
A non-ideal diode is biased with a voltage of $-0.03 \: V$, and a diode current of $I_{1}$ is measured. The thermal voltage is $26 \: mV$ and the ideality factor for the ...
go_editor
1.9k
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go_editor
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Feb 28, 2020
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295
GATE Electrical 2012 | Question: 31
Let $y[n]$ denote the convolution of $h[n]$ and $g[n]$, where $h[n]=(1/2)^n u[n]$ and $g[n]$ is a casual sequence. If $y[0]=1$ and $y[1]=1/2$, then $g[1]$ equals $0$ $1/2$ $1$ $3.2$
Let $y[n]$ denote the convolution of $h[n]$ and $g[n]$, where $h[n]=(1/2)^n u[n]$ and $g[n]$ is a casual sequence. If $y[0]=1$ and $y =1/2$, then $g $ equals$0$$1/2$$1$$3...
Andrijana3306
1.4k
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Andrijana3306
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Mar 23, 2018
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296
GATE Electrical 2018 | Question: 39
The signal energy of he continuous-time signal $x(t)=[(t-1)u(t-1)]-[(t-2)u(t-2)]-[(t-3)u(t-3)]+[(t-4)u(t-4)]$ is $11/3$ $7/3$ $1/3$ $5/3$
The signal energy of he continuous-time signal $x(t)=[(t-1)u(t-1)]-[(t-2)u(t-2)]-[(t-3)u(t-3)]+[(t-4)u(t-4)]$ is$11/3$$7/3$$1/3$$5/3$
Arjun
15.9k
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Arjun
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Feb 19, 2018
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297
GATE Electrical 2018 | Question: 25
Consider a unity feedback system with forward transfer function given by $G(s) = \frac{1}{(s+1)(s+2)}$ The steady-state error in the output of the system for a unit-step input is _______ (up to $2$ decimal places).
Consider a unity feedback system with forward transfer function given by $$G(s) = \frac{1}{(s+1)(s+2)}$$ The steady-state error in the output of the system for a unit-ste...
Arjun
15.9k
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Arjun
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Feb 19, 2018
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GATE Electrical 2018 | Question: 20
The series impedance matrix of a short three-phase transmission line in phase coordinates is $\begin{bmatrix} Z_s & Z_m & Z_m \\ Z_m & Z_s & Z_m \\ Z_m & Z_m & Z_s \end{bmatrix}$ ... $Z_m$ (in $\Omega$) is ___________ (up to $2$ decimal places).
The series impedance matrix of a short three-phase transmission line in phase coordinates is $\begin{bmatrix} Z_s & Z_m & Z_m \\ Z_m & Z_s & Z_m \\ Z_m & Z_m & Z_s \end{b...
Arjun
15.9k
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Arjun
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Feb 19, 2018
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299
GATE Electrical 2017 Set 2 | Question: 39
The figure below shows a half-bridge voltage source inverter supplying an RL-load with $R=40 \Omega$ and $L=(\frac{0.3}{\pi})H$. The desired fundamental frequency of the load voltage is $50$Hz. The switch control signals of the converter are generated using ... $DC$ source voltage $V_{DC}$ in volts is. $300\sqrt{2}$ $500$ $500\sqrt{2}$ $1000\sqrt{2}$
The figure below shows a half-bridge voltage source inverter supplying an RL-load with $R=40 \Omega$ and $L=(\frac{0.3}{\pi})H$. The desired fundamental frequency of the ...
Arjun
15.9k
points
Arjun
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Feb 26, 2017
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300
GATE Electrical 2023 | Question: 16
A semiconductor switch needs to block voltage $\text{V}$ of only one polarity $\text{(V>0)}$ during OFF state as shown in figure (i) and carry current in both directions during $\text{ON}$ state as shown in figure (ii). Which of the following switch combination(s) will realize the same?
A semiconductor switch needs to block voltage $\text{V}$ of only one polarity $\text{(V>0)}$ duringOFF state as shown in figure (i) and carry current in both directions d...
admin
1.7k
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admin
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May 20, 2023
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301
GATE Electrical 2023 | Question: 30
An $8$-bit $\text{ADC}$ converts analog voltage in the range of $0$ to $+5 \mathrm{~V}$ to the corresponding digital code as per the conversion characteristics shown in figure. For $V_{\text {in }}=1.9922 \mathrm{~V}$, which of the following digital output, given in hex, is true? $64 \mathrm{H}$ $65 \mathrm{H}$ $66 \mathrm{H}$ $67 \mathrm{H}$
An $8$-bit $\text{ADC}$ converts analog voltage in the range of $0$ to $+5 \mathrm{~V}$ to the corresponding digital code as per the conversion characteristics shown in f...
admin
1.7k
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admin
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May 20, 2023
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302
GATE Electrical 2020 | Question: 41
A stable real linear time-invariant system with single pole at $\text{p}$, has a transfer function $H\left ( s \right )=\dfrac{s^{2}+100}{s-p}$ with a $\text{dc}$ gain of $5$. The smallest positive frequency, in $\text{rad/s}$, at unity gain is closest to: $8.84$ $11.08$ $78.13$ $122.87$
A stable real linear time-invariant system with single pole at $\text{p}$, has a transfer function $H\left ( s \right )=\dfrac{s^{2}+100}{s-p}$ with a $\text{dc}$ gain of...
go_editor
1.9k
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go_editor
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Feb 28, 2020
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303
GATE Electrical 2023 | Question: 36
Consider the state-space description of an $\text{LTI}$ ... for which the steady-state output of the system will be zero, is ________(Round off to the nearest integer).
Consider the state-space description of an $\text{LTI}$ system with matrices$\qquad A=\left[\begin{array}{cc}0 & 1 \\-1 & -2\end{array}\right], B=\left[\begin{array}{l}0 ...
admin
1.7k
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admin
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May 20, 2023
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304
GATE Electrical 2022 | Question: 54
A star-connected $3$-phase, $400\; V$, $50$ $\text{ kVA}$, $50\; Hz$ synchronous motor has a synchronous reactance of $1$ $\text{ohm}$ per phase with negligible armature resistance. The shaft load on the motor is $10$ $\text{kW}$ ... $2\:kW$. The magnitude of the per phase excitation emf of the motor, in volts, is ______________. (round off to nearest integer).
A star-connected $3$-phase, $400\; V$, $50$ $\text{ kVA}$, $50\; Hz$ synchronous motor has a synchronous reactance of $1$ $\text{ohm}$ per phase with negligible armature ...
Arjun
15.9k
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Arjun
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Feb 15, 2022
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305
GATE Electrical 2019 | Question: 38
The line currents of a three-phase four wire system are square waves with amplitude of $100$ A. These three currents are phase shifted by $120^{\circ}$ with respect to each other. The rms value of neutral current is $0$ A $\frac{100}{\sqrt{3}}$ A $100$ A $300$ A
The line currents of a three-phase four wire system are square waves with amplitude of $100$ A. These three currents are phase shifted by $120^{\circ}$ with respect to ea...
Arjun
15.9k
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Arjun
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Feb 12, 2019
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306
GATE Electrical 2012 | Question: 36
A $220$ V, $15$ kW, $1000$ rpm shunt motor with armature resistance of $0.25 \: \Omega$, has a rated line current of $68$ A and a rated field current of $2.2$ A. The change on field flux required to obtain a speed of $1600$ rpm while drawing a line ... a field current of $1.8$ A is $18.18 \%$ increase $18.18 \%$ decrease $36.36 \%$ increase $36.36 \%$ decrease
A $220$ V, $15$ kW, $1000$ rpm shunt motor with armature resistance of $0.25 \: \Omega$, has a rated line current of $68$ A and a rated field current of $2.2$ A. The chan...
Andrijana3306
1.4k
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Andrijana3306
asked
Mar 23, 2018
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307
GATE Electrical 2018 | Question: 29
Consider the two bus power system network with given loads as shown in the figure. All the values shown in the figure are in per unit. The reactive power supplied by generator $G_1$ and $G_2$ are $Q_{G1}$ and $Q_{G2}$ respectively. The per unit values of $Q_{G1}$, $Q_{G2}$, and line ... $6.34, \: 11.34, \: 2.68$ $5.00, \: 11.34, \: 1.34$
Consider the two bus power system network with given loads as shown in the figure. All the values shown in the figure are in per unit. The reactive power supplied by gene...
Arjun
15.9k
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Arjun
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Feb 19, 2018
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308
GATE Electrical 2021 | Question: 29
In the circuit, switch '$S$' is in the closed position for a very long time. If the switch is opened at time $t = 0$, then in $i_{L} (t)$ amperes, for $t\geq0$ is $8e^{-10t}$ $10$ $8+2e^{-10t}$ $10\left ( 1-e^{-2t} \right )$
In the circuit, switch '$S$' is in the closed position for a very long time. If the switch is opened at time $t = 0$, then in $i_{L} (t)$ amperes, for $t\geq0$ is$8e^{-10...
Arjun
15.9k
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Arjun
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Feb 19, 2021
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309
GATE Electrical 2017 Set 2 | Question: 48
In the circuit shown in the figure, the diode used is ideal. The input power factor is ________. (Give the answer up to two decimal places).
In the circuit shown in the figure, the diode used is ideal. The input power factor is ________. (Give the answer up to two decimal places).
Arjun
15.9k
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Arjun
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Feb 26, 2017
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310
GATE Electrical 2018 | Question: 53
A dc to dc converter shown in the figure is charging a battery bank, $B2$ whose voltage is constant at $150 \: V$. $B1$ is another battery bank whose voltage is constant at $50 \: V$. The value of the inductor, $L$ is $5$ mH and the ... assuming the diode D to be ideal, the power transferred from $B1$ to $B2$ (in Watt) is ___________ (up to $2$ decimal places)
A dc to dc converter shown in the figure is charging a battery bank, $B2$ whose voltage is constant at $150 \: V$. $B1$ is another battery bank whose voltage is constant ...
Arjun
15.9k
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Arjun
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Feb 19, 2018
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311
GATE Electrical 2017 Set 2 | Question: 45
If the primary line voltage rating is $3.3$kV (Y side) of a $25$kVA, $Y-\Delta$ transformer (the per phase turns ratio is $5:1$), then the line current rating of the secondary side (in Ampere) is _______.
If the primary line voltage rating is $3.3$kV (Y side) of a $25$kVA, $Y-\Delta$ transformer (the per phase turns ratio is $5:1$), then the line current rating of the seco...
Arjun
15.9k
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Arjun
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Feb 26, 2017
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312
GATE Electrical 2015 Set 2 | Question: 51
Two three-phase transformers are realized using single-phase transformers as shown in the figure. The phase difference (in degree) between voltages $V_{1}$ and $V_{2}$ is _______.
Two three-phase transformers are realized using single-phase transformers as shown in the figure.The phase difference (in degree) between voltages $V_{1}$ and $V_{2}$ is ...
makhdoom ghaya
9.4k
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makhdoom ghaya
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Feb 11, 2017
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313
GATE Electrical 2015 Set 2 | Question: 44
In the given network $V_{1}=100\angle 0^{\circ}V, V_{2}=100\angle -120^{\circ}V, V_{3}=100\angle +120^{\circ}V$. The phasor current $i$ (in Ampere) is $173.2\angle -60^{\circ}$ $173.2\angle 120^{\circ}$ $100.0\angle -60^{\circ}$ $100.0\angle 120^{\circ}$
In the given network $V_{1}=100\angle 0^{\circ}V, V_{2}=100\angle -120^{\circ}V, V_{3}=100\angle +120^{\circ}V$. The phasor current $i$ (in Ampere) is$173.2\angle -60^{\c...
makhdoom ghaya
9.4k
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makhdoom ghaya
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Feb 11, 2017
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314
GATE Electrical 2012 | Question: 32
The circuit shown is a low pass filter with $f_{3dB} = \dfrac{1}{(R_1+R_2)C} \text{ rad/s} \\$ high pass filter with $f_{3dB} = \dfrac{1}{R_1C}\text{ rad/s} \\$ low pass filter with $f_{3dB} = \dfrac{1}{R_1C}\text{ rad/s} \\$ high pass filter with $f_{3dB} = \dfrac{1}{(R_1+R_2)C}\text{ rad/s} \\$
The circuit shown is alow pass filter with $f_{3dB} = \dfrac{1}{(R_1+R_2)C} \text{ rad/s} \\$high pass filter with $f_{3dB} = \dfrac{1}{R_1C}\text{ rad/s} \\$low pass f...
Andrijana3306
1.4k
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Andrijana3306
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Mar 23, 2018
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315
GATE Electrical 2018 | Question: 48
The voltage across the circuit in the figure, and the current through it, are given by the following expressions: $v(t)=5-10 \cos (\omega t+ 60^{\circ}) \: V$ $i(t)=5 + X \cos (\omega t) \: A$ where $\omega =100 \: \pi \text{ radian}/s$. If the average power delivered to the circuit is zero, then the value of $X$ (in Ampere) is _______ (up to $2$ decimal places)
The voltage across the circuit in the figure, and the current through it, are given by the following expressions:$v(t)=5-10 \cos (\omega t+ 60^{\circ}) \: V$$i(t)=5 + X \...
Arjun
15.9k
points
Arjun
asked
Feb 19, 2018
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316
GATE Electrical 2018 | Question: 28
The positive, negative and zero sequence impedances of a three phase generator are $Z_1, Z_2$ and $Z_0$ respectively. For a line-to-line fault with fault impedance $Z_f$, the fault current is $I_{f1}= kI_f$, where $I_f$ is the fault current with zero fault impedance. The relation ... $Z_f=\frac{(Z_1+Z_2)k}{1-k} \\$ $Z_f=\frac{(Z_1+Z_2)k}{1+k}$
The positive, negative and zero sequence impedances of a three phase generator are $Z_1, Z_2$ and $Z_0$ respectively. For a line-to-line fault with fault impedance $Z_f$,...
Arjun
15.9k
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Arjun
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Feb 19, 2018
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317
GATE Electrical 2017 Set 2 | Question: 46
Consider the system described by the following state space representation ... $y(t)$ at $t=1$ sec (rounded off to three decimal places) is ___________.
Consider the system described by the following state space representation$\begin{bmatrix}\dot{x}_{1}(t)\\\dot{x}_{2}(t)\end{bmatrix}=\begin{bmatrix}0 &1 \\0 & -2\end{bmat...
Arjun
15.9k
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Arjun
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Feb 26, 2017
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318
GATE Electrical 2022 | Question: 38
Consider the system as shown below Where $y(t)=x(e^t).$ The system is linear and casual linear and non-casual non-linear and casual non-linear and non-casual
Consider the system as shown belowWhere $y(t)=x(e^t).$ The system is linear and casuallinear and non-casualnon-linear and casualnon-linear and non-casual
Arjun
15.9k
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Arjun
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Feb 15, 2022
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319
GATE Electrical 2019 | Question: 16
Given, $V_{gs}$ is the gate-source voltage, $V_{ds}$ is the drain source voltage, and $V_{th}$ is the threshold voltage of an enhancement type NMOS transistor, the conditions for transistor to be biased in saturation are $V_{gs}<V_{th};V_{ds}\geq V_{gs}-V_{th}$ ... $V_{gs}>V_{th};V_{ds}\leq V_{gs}-V_{th}$ $V_{gs}<V_{th};V_{ds}\leq V_{gs}-V_{th}$
Given, $V_{gs}$ is the gate-source voltage, $V_{ds}$ is the drain source voltage, and $V_{th}$ is the threshold voltage of an enhancement type NMOS transistor, the condit...
Arjun
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Arjun
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Feb 12, 2019
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320
GATE Electrical 2019 | Question: 55
A single-phase fully-controlled thyristor converter is used to obtain an average voltage of $180$ V with $10$ A constant current to feed a DC load. It is fed from single-phase AC supply of $230$ V, $50$ Hz. Neglect the source impedance. The power factor (round off to two decimal places) of AC mains is _________
A single-phase fully-controlled thyristor converter is used to obtain an average voltage of $180$ V with $10$ A constant current to feed a DC load. It is fed from single-...
Arjun
15.9k
points
Arjun
asked
Feb 12, 2019
new
gate2019-ee
numerical-answers
+
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