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481
GATE Electrical 2017 Set 1 | Question: 9
A source is supplying a load through a $2$-phase, $3$-wire transmission system as shown in figure below. The instantaneous voltage and current in phase-a are $v_{an}=220 \sin (100 \pi t) V$ and $i_{a}=10 \sin (100 \pi t) A$, respectively. Similarly for phase-b, the ... $2200$W $2200 \sin^{2} (100 \pi t) W$ $4400$W $2200 \sin (100 \pi t) \cos (100 \pi t) W$
A source is supplying a load through a $2$-phase, $3$-wire transmission system as shown in figure below. The instantaneous voltage and current in phase-a are $v_{an}=220 ...
Arjun
15.9k
points
Arjun
asked
Feb 26, 2017
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482
GATE Electrical 2017 Set 1 | Question: 10
A $3$-bus power system is shown in the figure below, where the diagonal elements of $Y$-bus matrix are: $Y_{11}= -j12$ pu, $Y_{22}= -j15$ pu, $\text{and}$ $Y_{33} = -j7$ pu. The per unit values of the line reactances $p, q$ and $r$ shown in the figure are $p= -0.2, q= -0.1, r= -0.5$ $p= 0.2, q= 0.1, r= 0.5$ $p= -5, q= -10, r= -2$ $p= 5, q= 10, r= 2$
A $3$-bus power system is shown in the figure below, where the diagonal elements of $Y$-bus matrix are: $Y_{11}= -j12$ pu, $Y_{22}= -j15$ pu, $\text{and}$ $Y_{33} = -j7$ ...
Arjun
15.9k
points
Arjun
asked
Feb 26, 2017
new
gate2017-ee-1
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483
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
points
makhdoom ghaya
asked
Feb 11, 2017
new
gate2015-ee-2
numerical-answers
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484
GATE Electrical 2015 Set 2 | Question: 52
The following discrete-time equations result from the numerical integration of the differential equations of an un-damped simple harmonic oscillator with state variables $x$ and $y$. The integration time step is $h$. $\dfrac{x_{k+1}-x_{k}}{h}=y_{k}$ ... $\dfrac{1}{2\pi}<h<\dfrac{1}{\pi}$
The following discrete-time equations result from the numerical integration of the differential equations of an un-damped simple harmonic oscillator with state variables ...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
new
gate2015-ee-2
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485
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
points
makhdoom ghaya
asked
Feb 11, 2017
new
gate2015-ee-2
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486
GATE Electrical 2015 Set 2 | Question: 54
An open loop transfer function $G(s)$ of a system is $G(s)=\dfrac{k}{s(s+1)(s+2)}$ For a unity feedback system, the breakaway point of the root loci on the real axis occurs at, $−0.42$ $−1.58$ $−0.42$ and $−1.58$ None of the above
An open loop transfer function $G(s)$ of a system is$G(s)=\dfrac{k}{s(s+1)(s+2)}$For a unity feedback system, the breakaway point of the root loci on the real axis occurs...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
new
gate2015-ee-2
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487
GATE Electrical 2015 Set 2 | Question: 55
For the system governed by the set of equations: $dx_{1}/dt=2x_{1}+x_{2}+u$ $dx_{2}/dt=-2x_{1}+u$ $y=3 x_{1}$ the transfer function $Y(s)/U(s)$ is given by $3(s+1)/(s^{2}-2s+2)$ $3(2s+1)/(s^{2}-2s+1)$ $(s+1)/(s^{2}-2s+1)$ $3(2s+1)/(s^{2}-2s+2)$
For the system governed by the set of equations:$dx_{1}/dt=2x_{1}+x_{2}+u$$dx_{2}/dt=-2x_{1}+u$$y=3 x_{1}$the transfer function $Y(s)/U(s)$ is given by$3(s+1)/(s^{2}-2s+2...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
new
gate2015-ee-2
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488
GATE Electrical 2015 Set 2 | Question: 39
The saturation voltage of the ideal op-amp shown below is $\pm 10$ V. The output voltage $v_{o}$ of the following circuit in the steady-state is Square wave of period $0.55$ ms. Triangular wave of period $0.55$ ms. square Square wave of period $0.25$ ms. Triangular wave of period $0.25$ ms
The saturation voltage of the ideal op-amp shown below is $\pm 10$ V. The output voltage $v_{o}$ of the following circuit in the steady-state isSquare wave of period $0.5...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
new
gate2015-ee-2
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489
GATE Electrical 2015 Set 2 | Question: 40
The incremental costs (in Rupees/MWh) of operating two generating units are functions of their respective powers $P_{1}$ and $P_{2}$ in $MW$, and are given by $\dfrac{dC_{1}}{dP_{1}}=0.2P_{1}+50$ ... $dC_{2}/dP_{2} = 68.8$ Rs/MWh. If the generations are rescheduled to minimize the total cost, then $P_{2}$ is ________.
The incremental costs (in Rupees/MWh) of operating two generating units are functions of their respective powers $P_{1}$ and $P_{2}$ in $MW$, and are given by$\dfrac{dC_{...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
new
gate2015-ee-2
numerical-answers
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490
GATE Electrical 2015 Set 2 | Question: 41
A composite conductor consists of three conductors of radius $R$ each. The conductors are arranged as shown below. The geometric mean radius $(GMR)$ (in cm) of the composite conductor is $kR$. The value of $k$ is __________.
A composite conductor consists of three conductors of radius $R$ each. The conductors are arranged as shown below. The geometric mean radius $(GMR)$ (in cm) of the compos...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
new
gate2015-ee-2
numerical-answers
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491
GATE Electrical 2015 Set 2 | Question: 42
A 3-phase transformer rated for $33 kV/11 kV$ is connected in delta/star as shown in figure. The current transformers ($CTs$) on low and high voltage sides have a ratio of $500/5$. Find the currents $i_{1}$ and $i_{2}$, if the fault current is $300$ ... $i_{1}=0A, i_{2}=1\sqrt{3}A$ $i_{1}=1\sqrt{3}A, i_{2}=1\sqrt{3}A$
A 3-phase transformer rated for $33 kV/11 kV$ is connected in delta/star as shown in figure. The current transformers ($CTs$) on low and high voltage sides have a ratio o...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
new
gate2015-ee-2
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492
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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493
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
points
makhdoom ghaya
asked
Feb 11, 2017
new
gate2015-ee-2
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494
GATE Electrical 2015 Set 2 | Question: 45
A symmetrical square wave of $50\%$ duty cycle has amplitude of $\pm15$ V and time period of $0.4\pi$ ms. This square wave is applied across a series $RLC$ circuit with $R = 5 \Omega$, $L = 10$ mH, and $C = 4 \mu F$. The amplitude of the $5000$ rad/s component of the capacitor voltage (in Volt) is ______.
A symmetrical square wave of $50\%$ duty cycle has amplitude of $\pm15$ V and time period of $0.4\pi$ ms. This square wave is applied across a series $RLC$ circuit with $...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
new
gate2015-ee-2
numerical-answers
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0
votes
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495
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
points
makhdoom ghaya
asked
Feb 11, 2017
new
gate2015-ee-2
numerical-answers
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496
GATE Electrical 2015 Set 2 | Question: 47
A three-winding transformer is connected to an $AC$ voltage source as shown in the figure. The number of turns are as follows: $N_{1} = 100, N_{2} = 50, N_{3} = 50$ ... in Ampere? $1\angle 90^{\circ}$ $1\angle 270^{\circ}$ $4\angle 90^{\circ}$ $4\angle 270^{\circ}$
A three-winding transformer is connected to an $AC$ voltage source as shown in the figure. The number of turns are as follows: $N_{1} = 100, N_{2} = 50, N_{3} = 50$. If t...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
new
gate2015-ee-2
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0
votes
0
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497
GATE Electrical 2015 Set 2 | Question: 48
With an armature voltage of $100$ V and rated field winding voltage, the speed of a separately excited $DC$ motor driving a fan is $1000$ rpm, and its armature current is $10$ A. The armature resistance is $1 \Omega$. The load ... rotational losses, the value of the armature voltage (in Volt) which will reduce the rotor speed to $500$ rpm is _________.
With an armature voltage of $100$ V and rated field winding voltage, the speed of a separately excited $DC$ motor driving a fan is $1000$ rpm, and its armature current is...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
new
gate2015-ee-2
numerical-answers
+
–
0
votes
0
answers
498
GATE Electrical 2015 Set 2 | Question: 49
A three-phase, $11$ kV, $50$ Hz, $2$ pole, star connected, cylindrical rotor synchronous motor is connected to an $11$ kV, $50$ Hz source. Its synchronous reactance is $50 \Omega$ per phase, and its stator resistance is negligible. The ... torque is increased so that the stator current is $120$ A, then the load angle (in degrees) at this load is __________.
A three-phase, $11$ kV, $50$ Hz, $2$ pole, star connected, cylindrical rotor synchronous motor is connected to an $11$ kV, $50$ Hz source. Its synchronous reactance is $5...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
new
gate2015-ee-2
numerical-answers
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0
votes
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answers
499
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
new
gate2015-ee-2
numerical-answers
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0
votes
0
answers
500
GATE Electrical 2015 Set 2 | Question: 36
Two semi-infinite conducting sheets are placed at right angles to each other as shown in the figure. A point charge of $+Q$ is placed at a distance of $d$ from both sheets. The net force on the charge is $\dfrac{Q^{2}}{4\pi \in_{0}} \frac{Q}{d^{2}}$, where $K$ is ... $\dfrac{1-2\sqrt{2}}{8\sqrt{2}} \hat{t}+\dfrac{1-2\sqrt{2}}{8\sqrt{2}} \hat{j}$
Two semi-infinite conducting sheets are placed at right angles to each other as shown in the figure. A point charge of $+Q$ is placed at a distance of $d$ from both sheet...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
new
gate2015-ee-2
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0
votes
0
answers
501
GATE Electrical 2015 Set 2 | Question: 9
Two semi-infinite dielectric regions are separated by a plane boundary at $y = 0$. The dielectric constants of region $1 (y < 0)$ and region $2 (y > 0)$ are $2$ and $5$, respectively. Region $1$ ... $3\hat{a}_{x}+10\hat{a}_{y}+0.8\hat{a}_{z}$
Two semi-infinite dielectric regions are separated by a plane boundary at $y = 0$. The dielectric constants of region $1 (y < 0)$ and region $2 (y 0)$ are $2$ and $5$, r...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
new
gate2015-ee-2
electric-field
dielectric-constant
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502
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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0
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503
GATE Electrical 2016 Set 1 | Question: 10
A temperature in the range of $−40 ^\circ C$ to $55^\circ C$ is to be measured with a resolution of $0.1^\circ C$. The minimum number of $ADC$ bits required to get a matching dynamic range of the temperature sensor is $8$ $10$ $12$ $14$
A temperature in the range of $−40 ^\circ C$ to $55^\circ C$ is to be measured with a resolution of $0.1^\circ C$. The minimum number of $ADC$ bits required to get a ma...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
new
gate2016-ee-1
analog-to-digital-converter
sampling
micro-controller
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