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401
GATE Electrical 2017 Set 2 | Question: 54
A $3$-phase, $2$-pole, $50$Hz, synchronous generator has a rating of $250$ MVA, $0.8$ pf lagging. The kinetic energy of the machine at synchronous speed is $1000$MJ. The machine is running steadily at synchronous speed ... assuming the acceleration is constant for $10$ cycles, the value of the power angle after $5$ cycles is __________ electrical degrees.
A $3$-phase, $2$-pole, $50$Hz, synchronous generator has a rating of $250$ MVA, $0.8$ pf lagging. The kinetic energy of the machine at synchronous speed is $1000$MJ. The ...
Arjun
15.9k
points
Arjun
asked
Feb 26, 2017
new
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numerical-answers
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402
GATE Electrical 2017 Set 2 | Question: 42
A $120$ V DC shunt motor takes $2$A at no load. It takes $7$A on full load while running at $1200$ rpm. The armature resistance is $0.8 \Omega$, and the shunt field resistance is $240 \Omega$. The no load speed, in rpm, is _________.
A $120$ V DC shunt motor takes $2$A at no load. It takes $7$A on full load while running at $1200$ rpm. The armature resistance is $0.8 \Omega$, and the shunt field resis...
Arjun
15.9k
points
Arjun
asked
Feb 26, 2017
new
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numerical-answers
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403
GATE Electrical 2017 Set 2 | Question: 15
The figure shows the per-phase representation of a phase-shifting transformer connected between buses $1$ and $2$, where $\alpha$ is a complex number with non-zero real and imaginary parts. For the given circuit, $Y_{bus}$ and $Z_{bus}$ are bus ... . $Y_{bus}$ is unsymmetric and $Z_{bus}$ is symmetric. Both $Y_{bus}$ and $Z_{bus}$ are unsymmetric.
The figure shows the per-phase representation of a phase-shifting transformer connected between buses $1$ and $2$, where $\alpha$ is a complex number with non-zero real a...
Arjun
15.9k
points
Arjun
asked
Feb 26, 2017
new
gate2017-ee-2
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404
GATE Electrical 2017 Set 1 | Question: 41
The switch in the figure below was closed for a long time. It is opened at $t=0$. The current in the inductor of $2$H for $t \geq 0$, is $2.5e^{-4t}$ $5e^{-4t}$ $2.5e^{-0.25t}$ $5e^{-0.25t}$
The switch in the figure below was closed for a long time. It is opened at $t=0$. The current in the inductor of $2$H for $t \geq 0$, is $2.5e^{-4t}$$5e^{-4t}$$2.5e^{-0.2...
Arjun
15.9k
points
Arjun
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Feb 26, 2017
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405
GATE Electrical 2017 Set 1 | Question: 12
The slope and level detector circuit in a $CRO$ has a delay of $100$ns. The start - stop sweep generator has a response time of $50$ns. In order to display correctly, a delay line of $150$ns has to be inserted into the $y$-channel $150$ns has ... $x$ and $y$-channels $100$ns has to be inserted into both $x$ and $y$-channels
The slope and level detector circuit in a $CRO$ has a delay of $100$ns. The start - stop sweep generator has a response time of $50$ns. In order to display correctly, a d...
Arjun
15.9k
points
Arjun
asked
Feb 26, 2017
Others
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406
GATE Electrical 2015 Set 2 | Question: 50
A $220$ V, $3$-phase, $4$-pole, $50$ Hz inductor motor of wound rotor type is supplied at rated voltage and frequency. The stator resistance, magnetizing reactance, and core loss are negligible. The maximum torque produced by the rotor ... resistance (in Ohm) which must be inserted in a rotor phase if the maximum torque is to occur at start is _________.
A $220$ V, $3$-phase, $4$-pole, $50$ Hz inductor motor of wound rotor type is supplied at rated voltage and frequency. The stator resistance, magnetizing reactance, and c...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
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407
GATE Electrical 2022 | Question: 34
The current gain $( I_{\text{out}}/I_{\text{in}})$ in the circuit with an ideal current amplifier given below is $\dfrac{C_{f}}{C_{c}}$ $\dfrac{-C_{f}}{C_{c}}$ $\dfrac{C_{c}}{C_{f}}$ $\dfrac{-C_{c}}{C_{f}}$
The current gain $( I_{\text{out}}/I_{\text{in}})$ in the circuit with an ideal current amplifier given below is$\dfrac{C_{f}}{C_{c}}$$\dfrac{-C_{f}}{C_{c}}$$\dfrac{C_{c}...
Arjun
15.9k
points
Arjun
asked
Feb 15, 2022
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gate2022-ee
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408
GATE Electrical 2021 | Question: 49
The state space representation of a first-order system is given as $\overset{\bullet }{x}=-x+u$ $y=x$ where,$x$ is the state variable, $u$ is the control input and $y$ is the controlled output. Let $u=-Kx$ be the control law, where $K$ is the controller gain. To place a closed-loop pole at $-2$, the value of $K$ is ___________________.
The state space representation of a first-order system is given as $\overset{\bullet }{x}=-x+u$$y=x$where,$x$ is the state variable, $u$ is the control input and $y$ is t...
Arjun
15.9k
points
Arjun
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Feb 19, 2021
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numerical-answers
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409
GATE Electrical 2020 | Question: 48
Windings $\text{ A','B'}$ and $\text{ C'}$ have $20$ turns each and are wound on the same iron core as shown, along with winding $\text{ X'}$ which has $2$ turns. The figure shows the sense (clockwise/anti-clockwise) of each of the windings ... $\text{RMS}$ voltage (in $\text{V}$, rounded off to $2$ decimal places) across winding $\text{ X'}$ is _______________.
Windings $\text{‘A’,’B’}$ and $\text{‘C’}$ have $20$ turns each and are wound on the same iron core as shown, along with winding $\text{‘X’}$ which has $2...
go_editor
1.9k
points
go_editor
asked
Feb 28, 2020
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410
GATE Electrical 2019 | Question: 47
A delta-connected, $3.7$ kW, $400$ V(line), three-phase, $4$-pole, $50$-Hz squirrel-cage induction moor has the following equivalent circuit parameters per phase referred to the stator: $R_1=5.39 \: \Omega$, $R_2=5.72 \: \Omega$ ... (round off to two decimal places) when it is connected to a $100$ V(line), $10$ Hz, three-phase AC source is _______
A delta-connected, $3.7$ kW, $400$ V(line), three-phase, $4$-pole, $50$-Hz squirrel-cage induction moor has the following equivalent circuit parameters per phase referred...
Arjun
15.9k
points
Arjun
asked
Feb 12, 2019
new
gate2019-ee
numerical-answers
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411
GATE Electrical 2017 Set 1 | Question: 50
For a system having transfer function $G(s)=\frac{-s+1}{s+1}$, a unit step input is applied at time $t=0$. The value of the response of the system at $t=1.5 sec$ (rounded off to three decimal places) is ________.
For a system having transfer function $G(s)=\frac{-s+1}{s+1}$, a unit step input is applied at time $t=0$. The value of the response of the system at $t=1.5 sec$ (rounded...
Arjun
15.9k
points
Arjun
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Feb 26, 2017
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numerical-answers
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412
GATE Electrical 2022 | Question: 36
Let a casual $\text{LTI}$ system be governed by the following differential equation $y\left ( t \right ) + \dfrac{1}{4}\dfrac{dy}{dt} = 2x\left ( t \right )$, where $x(t)$ and $y(t)$ ... $8e^{-\frac{1}{4}t}u\left ( t \right )$ $8e^{-4t}u\left ( t \right )$
Let a casual $\text{LTI}$ system be governed by the following differential equation $y\left ( t \right ) + \dfrac{1}{4}\dfrac{dy}{dt} = 2x\left ( t \right )$, where $x(t)...
Arjun
15.9k
points
Arjun
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Feb 15, 2022
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413
GATE Electrical 2021 | Question: 31
The casual signal with $z$-transformer $Z^{2}\left ( Z-a \right )^{-2}$ is ($u[n]$ is the unit step signal) $a^{2n}u\left [ n \right ]$ $\left ( n+1 \right )a^{n}u\left [ n \right ]$ $n^{-1}a^{n}u\left [ n \right ]$ $n^{2}a^{n}u\left [ n \right ]$
The casual signal with $z$-transformer $Z^{2}\left ( Z-a \right )^{-2}$ is ($u[n]$ is the unit step signal)$a^{2n}u\left [ n \right ]$$\left ( n+1 \right )a^{n}u\left [ n...
Arjun
15.9k
points
Arjun
asked
Feb 19, 2021
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414
GATE Electrical 2012 | Question: 13
The bridge method commonly used for finding mutual inductance is Heaviside Campbell bridge Schering bridge De Sauty bridge Wien bridge
The bridge method commonly used for finding mutual inductance isHeaviside Campbell bridgeSchering bridgeDe Sauty bridgeWien bridge
Andrijana3306
1.4k
points
Andrijana3306
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Mar 23, 2018
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415
GATE Electrical 2012 | Question: 5
The impedance looking into nodes $1$ and $2$ in the given circuit is $50 \: \Omega$ $100 \: \Omega$ $5 \: \Omega$ $10.1 \: \Omega$
The impedance looking into nodes $1$ and $2$ in the given circuit is$50 \: \Omega$$100 \: \Omega$$5 \: \Omega$$10.1 \: \Omega$
Andrijana3306
1.4k
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Andrijana3306
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Mar 23, 2018
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416
GATE Electrical 2017 Set 1 | Question: 18
The power supplied by the $25$V source in the figure shown below is __________ $W$.
The power supplied by the $25$V source in the figure shown below is __________ $W$.
Arjun
15.9k
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Arjun
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Feb 26, 2017
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417
GATE Electrical 2016 Set 1 | Question: 43
A single-phase thyristor-bridge rectifier is fed from a $230 V, 50 Hz$, single-phase $AC$ mains. If it is delivering a constant $DC$ current of $10 A$, at firing angle of $30^\circ$, then value of the power factor at $AC$ mains is $0.87$ $0.9$ $0.78$ $0.45$
A single-phase thyristor-bridge rectifier is fed from a $230 V, 50 Hz$, single-phase $AC$ mains. If it is delivering a constant $DC$ current of $10 A$, at firing angle of...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
new
gate2016-ee-1
ac-to-dc-conversion
magnitude-control
phase-control
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418
GATE Electrical 2017 Set 2 | Question: 5
If a synchronous motor is running at a leading power factor, its excitation induced voltage $(E_{f})$ is Equal to terminal voltage $V_{t}$ Higher than the terminal voltage $V_{t}$ Less than terminal voltage $V_{t}$ Dependent upon supply voltage $V_{t}$
If a synchronous motor is running at a leading power factor, its excitation induced voltage $(E_{f})$ isEqual to terminal voltage $V_{t}$Higher than the terminal voltage ...
Arjun
15.9k
points
Arjun
asked
Feb 26, 2017
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419
GATE Electrical 2017 Set 1 | Question: 43
In the circuit shown below, the maximum power transferred to the resistor $R$ is ______ W.
In the circuit shown below, the maximum power transferred to the resistor $R$ is ______ W.
Arjun
15.9k
points
Arjun
asked
Feb 26, 2017
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420
GATE Electrical 2017 Set 1 | Question: 48
A three-phase, three winding $\Delta / \Delta / Y (1.1kV/6.6kV/400V)$ transformer is energized from $AC$ mains at the $1.1kV$ side. It supplies $900kVA$ load at $0.8$ power factor lag from the $6.6kV$ winding and $300kVA$ load ... $1.1kV$ winding from the mains is ________. (Give the answer up to one decimal place.)
A three-phase, three winding $\Delta / \Delta / Y (1.1kV/6.6kV/400V)$ transformer is energized from $AC$ mains at the $1.1kV$ side. It supplies $900kVA$ load at $0.8$ pow...
Arjun
15.9k
points
Arjun
asked
Feb 26, 2017
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421
GATE Electrical 2023 | Question: 34
All the elements in the circuit shown in the following figure are ideal. Which of the following statements is/are true? When switch $\text{S}$ is $\mathrm{ON}$, both $D_{1}$ and $D_{2}$ conducts and $D_{3}$ is reverse biased When switch $\text{S}$ ... conduct When switch $\text{S}$ is $\mathrm{OFF}, D_{1}$ conducts, $D_{2}$ is reverse biased and $D_{3}$ conducts
All the elements in the circuit shown in the following figure are ideal. Which of the following statements is/are true? When switch $\text{S}$ is $\mathrm{ON}$, both $D_{...
admin
1.7k
points
admin
asked
May 20, 2023
new
gate2023-ee
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422
GATE Electrical 2023 | Question: 54
A balanced delta connected load consisting of the series connection of one resistor $(R=15 \; \Omega)$ and a capacitor $(C=212.21 \; \mu \mathrm{F})$ in each phase is connected to threephase, $50 \mathrm{~Hz}, 415 \mathrm{~V}$ supply ... to be negligible, the magnitude of the voltage across the terminals $V_{A B}$ in Volts is (Round off to the nearest integer).
A balanced delta connected load consisting of the series connection of one resistor $(R=15 \; \Omega)$ and a capacitor $(C=212.21 \; \mu \mathrm{F})$ in each phase is con...
admin
1.7k
points
admin
asked
May 20, 2023
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423
GATE Electrical 2017 Set 2 | Question: 35
The range of $K$ for which all the roots of the equation $s^{3}+3s^{2}+2s+K=0$ are in the left half of the complex $s$-plane is $0 < K < 6$ $0 < K < 16$ $6 < K < 36$ $6 < K < 16$
The range of $K$ for which all the roots of the equation $s^{3}+3s^{2}+2s+K=0$ are in the left half of the complex $s$-plane is$0 < K < 6$$0 < K < 16$$6 < K < 36$$6 < K <...
Arjun
15.9k
points
Arjun
asked
Feb 26, 2017
new
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424
GATE Electrical 2021 | Question: 36
Suppose $I_{A},\:I_{B}$ and $I_{C}$ are a set of unbalanced current phasors in a three-phase system. The phase-$B$ zero-sequence current $I_{B0}=0.1\angle 0^{\circ}$ $p.u$. If phase-$A$ current $I_{A}=1.1\angle 0^{\circ}$ $p.u$ and phase-$C$ ... $1.1\angle -120^{\circ}+0.1\angle 0^{\circ}$ $1\angle -120^{\circ}+0.1\angle 0^{\circ}$
Suppose $I_{A},\:I_{B}$ and $I_{C}$ are a set of unbalanced current phasors in a three-phase system. The phase-$B$ zero-sequence current $I_{B0}=0.1\angle 0^{\circ}$ $p.u...
Arjun
15.9k
points
Arjun
asked
Feb 19, 2021
new
gateee-2021
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425
GATE Electrical 2012 | Question: 4
In the circuit shown below, the current through the inductor is $\dfrac{2}{1+j} A\\ $ $\dfrac{-1}{1+j} A\\$ $\dfrac{1}{1+j} A \\$ $0 A$
In the circuit shown below, the current through the inductor is$\dfrac{2}{1+j} A\\ $$\dfrac{-1}{1+j} A\\$$\dfrac{1}{1+j} A \\$$0 A$
Andrijana3306
1.4k
points
Andrijana3306
asked
Mar 23, 2018
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426
GATE Electrical 2018 | Question: 15
The op-amp shown in the figure is ideal. The input impedance $\frac{v_{\text{in}}}{i_{\text{in}}}$ is given by $Z \frac{R_1}{R_2}$ $ – Z \frac{R_2}{R_1}$ $Z$ $ – Z \frac{R_1}{R_1 + R_2}$
The op-amp shown in the figure is ideal. The input impedance $\frac{v_{\text{in}}}{i_{\text{in}}}$ is given by$Z \frac{R_1}{R_2}$$ – Z \frac{R_2}{R_1}$$Z$$ – Z \frac{...
Arjun
15.9k
points
Arjun
asked
Feb 19, 2018
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427
GATE Electrical 2017 Set 2 | Question: 8
Two resistors with nominal resistance values $R_{1}$ and $R_{2}$ have additive uncertainties $\bigtriangleup R_{1}$ and $\bigtriangleup R_{2}$, respectively. When these resistances are connected in parallel, the standard deviation of the error in the equivalent ...
Two resistors with nominal resistance values $R_{1}$ and $R_{2}$ have additive uncertainties $\bigtriangleup R_{1}$ and $\bigtriangleup R_{2}$, respectively. When these r...
Arjun
15.9k
points
Arjun
asked
Feb 26, 2017
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428
GATE Electrical 2017 Set 2 | Question: 9
A stationary closed Lissajous pattern on an oscilloscope has $3$ horizontal tangencies and $2$ vertical tangencies for a horizontal input with frequency $3$kHz. The frequency of the vertical input is $1.5$kHz $2$kHz $3$kHz $4.5$kHz
A stationary closed Lissajous pattern on an oscilloscope has $3$ horizontal tangencies and $2$ vertical tangencies for a horizontal input with frequency $3$kHz. The frequ...
Arjun
15.9k
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Arjun
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Feb 26, 2017
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429
GATE Electrical 2017 Set 1 | Question: 53
The figure below shows an uncontrolled diode bridge rectifier supplied from a $220$V, $50$Hz, $I$-phase ac source. The load draws a constant current $I_{0}=14A$. The conduction angle of the diode $D_{1}$ in degrees (rounded off to two decimal places) is _______.
The figure below shows an uncontrolled diode bridge rectifier supplied from a $220$V, $50$Hz, $I$-phase ac source. The load draws a constant current $I_{0}=14A$. The cond...
Arjun
15.9k
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Arjun
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Feb 26, 2017
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430
GATE Electrical 2017 Set 1 | Question: 24
In the converter circuit shown below, the switches are controlled such that the load voltage $v_{0}(t)$ is a $400$ Hz square wave. The RMS value of the fundamental component of $v_{0}(t)$ in volts is ________.
In the converter circuit shown below, the switches are controlled such that the load voltage $v_{0}(t)$ is a $400$ Hz square wave.The RMS value of the fundamental compone...
Arjun
15.9k
points
Arjun
asked
Feb 26, 2017
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numerical-answers
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431
GATE Electrical 2015 Set 2 | Question: 43
A balanced (positive sequence) three-phase $AC$ voltage source is connected to a balanced, star connected load through a star-delta transformer as shown in the figure. The line-to-line voltage rating is $230$ V on the star side, and $115$ V on the delta ... Ampere? $50\angle 30^\circ$ $50\angle- 30^\circ$ $50\sqrt{3}\angle 30^\circ$ $200\angle 30^\circ$
A balanced (positive sequence) three-phase $AC$ voltage source is connected to a balanced, star connected load through a star-delta transformer as shown in the figure. Th...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
new
gate2015-ee-2
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432
GATE Electrical 2022 | Question: 47
A $20$ $\text{MVA}$, $11.2$ $\text{kV}$, $4$-pole, $50$ $\text{Hz}$ alternator has an inertia constant of $15$ $\text{MJ/MVA}$. If the input and output powers of the alternator are $15$ $\text{MW}$ and $10$ $\text{MW}$, respectively, the angular acceleration in mechanical degree/$s^{2}$ is _____________.(round off to nearest integer)
A $20$ $\text{MVA}$, $11.2$ $\text{kV}$, $4$-pole, $50$ $\text{Hz}$ alternator has an inertia constant of $15$ $\text{MJ/MVA}$. If the input and output powers of the alte...
Arjun
15.9k
points
Arjun
asked
Feb 15, 2022
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numerical-answers
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433
GATE Electrical 2019 | Question: 42
The current $I$ flowing in the circuit shown in amperes is ____________
The current $I$ flowing in the circuit shown in amperes is ____________
Arjun
15.9k
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Arjun
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Feb 12, 2019
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434
GATE Electrical 2017 Set 2 | Question: 11
A phase-controlled, single-phase, full-bridge converter is supplying a highly inductive $DC$ load. The converter is fed from a $230$ V, $50$ Hz, AC source. The fundamental frequency in Hz of the voltage ripple on the $DC$ side is $25$ $50$ $100$ $300$
A phase-controlled, single-phase, full-bridge converter is supplying a highly inductive $DC$ load. The converter is fed from a $230$ V, $50$ Hz, AC source. The fundamenta...
Arjun
15.9k
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Arjun
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Feb 26, 2017
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435
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...
admin
1.7k
points
admin
asked
May 20, 2023
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gate2023-ee
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436
GATE Electrical 2022 | Question: 35
If the magnetic field intensity $(H)$ in a conducting region is given by the expression. $H = x^{2} \hat{i} + x^{2}y^{2}\hat{j} + x^{2}y^{2}z^{2}k$ $\text{A/m}$. The magnitude of the current density, in $A/m^{2}$, at $x = 1\;m, y = 2\; m$ and $z = 1\; m$, is $8$ $12$ $16$ $20$
If the magnetic field intensity $(H)$ in a conducting region is given by the expression. $H = x^{2} \hat{i} + x^{2}y^{2}\hat{j} + x^{2}y^{2}z^{2}k$ $\text{A/m}$. The magn...
Arjun
15.9k
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Arjun
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Feb 15, 2022
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437
GATE Electrical 2022 | Question: 51
The steady state current flowing through the inductor of a $\text{DC – DC}$ buck boost converter is given in the figure below. If the peak-to-peak ripple in the output voltage of the converter is $1 V$, then the value of the output capacitor, in $\mu F$, is ________________. (round off to nearest integer)
The steady state current flowing through the inductor of a $\text{DC – DC}$ buck boost converter is given in the figure below. If the peak-to-peak ripple in the output ...
Arjun
15.9k
points
Arjun
asked
Feb 15, 2022
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gate2022-ee
numerical-answers
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438
GATE Electrical 2019 | Question: 50
A $30$ kV, $50$ Hz, $50$ MVA generator has the positive, negative, and zero sequence reactances of $0.25$ pu, $0.15$ pu, and $0.05$ pu, respectively. The neutral of the generator is grounded with a reactance so that ... three-phase fault at the generator terminal are equal. The value of grounding reactance in ohms (round off to one decimal place) is ___________
A $30$ kV, $50$ Hz, $50$ MVA generator has the positive, negative, and zero sequence reactances of $0.25$ pu, $0.15$ pu, and $0.05$ pu, respectively. The neutral of the g...
Arjun
15.9k
points
Arjun
asked
Feb 12, 2019
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numerical-answers
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439
GATE Electrical 2017 Set 2 | Question: 32
A cascade system having the impulse responses $h_{1}(n)= \{ \underset{\uparrow}{1}-1 \}$ and $h_{2}(n)= \{ \underset{\uparrow}{1}-1, 1 \}$ is shown in the figure below, where symbol $\uparrow$ denotes the time origin. The input sequence $x(n)$ for which the ... $x(n)= \{\underset{\uparrow}{1}-1, 2, 2, 1 \}$
A cascade system having the impulse responses $h_{1}(n)= \{ \underset{\uparrow}{1}-1 \}$ and $h_{2}(n)= \{ \underset{\uparrow}{1}-1, 1 \}$ is shown in the figure below, ...
Arjun
15.9k
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Arjun
asked
Feb 26, 2017
new
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GATE Electrical 2022 | Question: 52
A $280 \;V$, separately excited $\text{DC}$ motor with armature resistance of $1\:\Omega$ and constant field excitation drives a load. The load torque is proportional to the speed. The motor draws a current of $30 A$ when ... additional resistance of value $10\:\Omega$ is connected in series with the armature, is _____________. (round off to nearest integer)
A $280 \;V$, separately excited $\text{DC}$ motor with armature resistance of $1\:\Omega$ and constant field excitation drives a load. The load torque is proportional to ...
Arjun
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Arjun
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Feb 15, 2022
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