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1
GATE2014223
The sinusoidal ac source in the figure has an rms value of $\frac{20}{\sqrt{2}}V$ . Considering all possible values of $R_L$, the minimum value of $R_S$ in $\Omega$ to avoid burnout of the Zener diode is _________.
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Feb 12, 2017
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makhdoom ghaya
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gate2014ee2
zenerdiode
reversesaturationcurrent
numericalanswers
0
votes
0
answers
2
GATE2014137
A $15\: kW, 230\: V\:dc$ shunt motor has armature circuit resistance of $0.4\: Ω$ and field circuit resistance of $230\: Ω.$ At no load and rated voltage, the motor runs at $1400$ rpm and the line current drawn by the motor is $5\: A$. At full load, the motor draws a line current of $70\: A.$ Neglect armature reaction. The full load speed of the motor in rpm is _________.
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Feb 12, 2017
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makhdoom ghaya
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gate2014ee1
armaturewinding
revolutionperminute
numericalanswers
0
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0
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3
GATE2015255
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 $3(s+1)/(s^{2}2s+2)$ $3(2s+1)/(s^{2}2s+1)$ $(s+1)/(s^{2}2s+1)$ $3(2s+1)/(s^{2}2s+2)$
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Feb 12, 2017
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makhdoom ghaya
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gate2015ee2
0
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4
GATE2015251
Two threephase transformers are realized using singlephase transformers as shown in the figure. The phase difference (in degree) between voltages $V_{1}$ and $V_{2}$ is _______.
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Feb 12, 2017
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makhdoom ghaya
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gate2015ee2
numericalanswers
0
votes
0
answers
5
GATE2015252
The following discretetime equations result from the numerical integration of the differential equations of an undamped simple harmonic oscillator with state variables $x$ and $y$. The integration time step is $h$. $\frac{x_{k+1}x_{k}}{h}=y_{k}$ ... stable for $0 < h <\frac{1}{2\pi}$ The system is stable for $\frac{1}{2\pi}<h<\frac{1}{\pi}$
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Feb 12, 2017
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gate2015ee2
0
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0
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6
GATE2015253
The unit step response of a system with the transfer function $G(s)=\frac{12s}{1+s}$ is given by which one of the following waveforms?
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Feb 12, 2017
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gate2015ee2
0
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7
GATE2015254
An open loop transfer function $G(s)$ of a system is $G(s)=\frac{k}{s(s+1)(s+2)}$ 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
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Feb 12, 2017
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gate2015ee2
0
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0
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8
GATE2015239
The saturation voltage of the ideal opamp shown below is $\pm 10$ V. The output voltage $v_{0}$ of the following circuit in the steadystate 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
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Feb 12, 2017
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gate2015ee2
0
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9
GATE2015240
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 $\frac{dC_{1}}{dP_{1}}=0.2P_{1}+50$ $\frac{dC_{2}}{dP_{2}}=0.24P_{2}+40$ ... Rs/MWh and $dC_{2}/dP_{2} = 68.8$ Rs/MWh. If the generations are rescheduled to minimize the total cost, then $P_{2}$ is ________.
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Feb 12, 2017
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makhdoom ghaya
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9.3k
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gate2015ee2
numericalanswers
0
votes
0
answers
10
GATE2015241
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 __________.
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Feb 12, 2017
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makhdoom ghaya
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9.3k
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gate2015ee2
numericalanswers
0
votes
0
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11
GATE2015242
A 3phase 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 $300$ A as shown in figure. $i_{1}=1\sqrt{3}A, i_{2}=0A$ $i_{1}=0A, i_{2}=0A$ $i_{1}=0A, i_{2}=1\sqrt{3}A$ $i_{1}=1\sqrt{3}A, i_{2}=1\sqrt{3}A$
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Feb 12, 2017
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gate2015ee2
0
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0
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12
GATE2015243
A balanced (positive sequence) threephase $AC$ voltage source is connected to a balanced, star connected load through a stardelta transformer as shown in the figure. The linetoline voltage rating is $230$ V on the star side, and $115$ V on the delta side. If the magnetizing current is ... $50\angle 30$° $50\angle 30$° $50\sqrt{3}\angle 30$° $200\angle 30$°
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Feb 12, 2017
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gate2015ee2
0
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13
GATE2015244
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 $173.2\angle 60^{\circ}$ $173.2\angle 120^{\circ}$ $100.0\angle 60^{\circ}$ $100.0\angle 120^{\circ}$
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Feb 12, 2017
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gate2015ee2
0
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14
GATE2015245
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 ______.
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Feb 12, 2017
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makhdoom ghaya
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9.3k
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gate2015ee2
numericalanswers
0
votes
0
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15
GATE2015246
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 ________.
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Feb 12, 2017
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gate2015ee2
numericalanswers
0
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0
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16
GATE2015247
A threewinding 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 the magnetizing current is neglected, and the currents in two windings are $\bar{I}_{2}=2\angle 30^{\circ}$ ... $1\angle 90^{\circ}$ $1\angle 270^{\circ}$ $4\angle 90^{\circ}$ $4\angle 270^{\circ}$
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gate2015ee2
0
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17
GATE2015248
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 torque of the ... speed. Neglecting rotational losses, the value of the armature voltage (in Volt) which will reduce the rotor speed to $500$ rpm is _________.
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Feb 12, 2017
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gate2015ee2
numericalanswers
0
votes
0
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18
GATE2015249
A threephase, $11$ 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 motor has a ... the load torque is increased so that the stator current is $120$ A, then the load angle (in degrees) at this load is __________.
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Feb 12, 2017
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gate2015ee2
numericalanswers
0
votes
0
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19
GATE2015250
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 is $225$ % of ... of external resistance (in Ohm) which must be inserted in a rotor phase if the maximum torque is to occur at start is _________.
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Feb 12, 2017
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gate2015ee2
numericalanswers
0
votes
0
answers
20
GATE2015236
Two semiinfinite 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 $\frac{Q^{2}}{4\pi \in_{0}} \frac{Q}{d^{2}}$, where $K$ is given by $0$ ... $\frac{12\sqrt{2}}{8\sqrt{2}} \hat{t}+\frac{12\sqrt{2}}{8\sqrt{2}} \hat{j}$
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Feb 12, 2017
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9.3k
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gate2015ee2
0
votes
0
answers
21
GATE2015237
In the following sequential circuit, the initial state (before the first clock pulse) of the circuit is $Q_{1}Q_{0}=00$. The state $(Q_{1}Q_{0})$, immediately after the $333^{rd}$ clock pulse is $00$ $01$ $10$ $11$
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Feb 12, 2017
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9.3k
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gate2015ee2
0
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0
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22
GATE2015238
A Boolean function $f(A, B, C, D) = \prod (1,5,12,15)$ is to be implemented using an $8 \times 1$ multiplexer ($A$ is $MSB$). The inputs $ABC$ are connected to the select inputs $S_{2} S_{1} S_{0}$ ... $D, 1, D, 1, 1, 1, \bar{D}, D$ $\bar{D}, 0, \bar{D}, 0, 0, 0,D, \bar{D}$
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Feb 12, 2017
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gate2015ee2
0
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23
GATE201529
Two semiinfinite 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 $1$ has uniform electric field $\vec{E}=3\hat{a}_{x}+4\hat{a}_{y}+2\hat{a}_{z}$ ... $1.2\hat{a}_{x}+4\hat{a}_{y}+0.8\hat{a}_{z}$ $3\hat{a}_{x}+10\hat{a}_{y}+0.8\hat{a}_{z}$
asked
Feb 12, 2017
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makhdoom ghaya
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9.3k
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gate2015ee2
electricfield
dielectricconstant
0
votes
0
answers
24
GATE2015154
Find the transfer function $\frac{Y(s)}{X(s)}$ of the system given below $\frac{G_{1}}{1HG_{1}} + \frac{G_{2}}{1HG_{2}}$ $\frac{G_{1}}{1+HG_{1}} + \frac{G_{2}}{1+HG_{2}}$ $\frac{G_{1}+G_{2}}{1+H (G_{1}+G_{2})}$ $\frac{G_{1}+G_{2}}{1H (G_{1}+G_{2})}$
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Feb 12, 2017
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gate2015ee1
transferfunction
feedbacksystem
0
votes
0
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25
GATE2015150
A $200/400$ V, $50$ Hz, twowinding transformer is rated at $20$ kVA. Its windings are connected as an autotransformer of rating $200/600$ V. A resistive load of $12 \Omega$ is connected to the high voltage ($600$ V) side of the autotransformer. The value of equivalent load resistance (in Ohm) as seen from low voltage side is _________.
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Feb 12, 2017
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9.3k
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gate2015ee1
twowinding
transformer
autotransformer
numericalanswers
0
votes
0
answers
26
GATE2016143
A singlephase thyristorbridge rectifier is fed from a $230 V, 50 Hz$, singlephase $AC$ mains. If it is delivering a constant $DC$ current of $10 A$, at firing angle of $30$°, then value of the power factor at $AC$ mains is $0.87$ $0.9$ $0.78$ $0.45$
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Jan 30, 2017
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makhdoom ghaya
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9.3k
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gate2016ee1
actodcconversion
magnitudecontrol
phasecontrol
0
votes
0
answers
27
GATE2016110
A temperature in the range of $−40$° C to $55$° C is to be measured with a resolution of $0.1$° C. The minimum number of $ADC$ bits required to get a matching dynamic range of the temperature sensor is $8$ $10$ $12$ $14$
asked
Jan 30, 2017
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gate2016ee1
analogtodigitalconverter
sampling
microcontroller
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