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Recent questions tagged gate2015ee2
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1
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
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2
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
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3
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
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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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gate2015ee2
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5
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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9.3k
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gate2015ee2
0
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6
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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Feb 12, 2017
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9.3k
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gate2015ee2
0
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7
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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makhdoom ghaya
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9.3k
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gate2015ee2
numericalanswers
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votes
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8
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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makhdoom ghaya
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9.3k
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gate2015ee2
numericalanswers
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9
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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new
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makhdoom ghaya
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9.3k
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gate2015ee2
numericalanswers
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votes
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answers
10
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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makhdoom ghaya
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9.3k
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gate2015ee2
numericalanswers
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11
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
points)
gate2015ee2
numericalanswers
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votes
0
answers
12
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
in
new
by
makhdoom ghaya
(
9.3k
points)
gate2015ee2
numericalanswers
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votes
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13
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
in
new
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makhdoom ghaya
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9.3k
points)
gate2015ee2
numericalanswers
0
votes
0
answers
14
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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makhdoom ghaya
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9.3k
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gate2015ee2
0
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15
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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makhdoom ghaya
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9.3k
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gate2015ee2
0
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16
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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makhdoom ghaya
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9.3k
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gate2015ee2
0
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17
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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new
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makhdoom ghaya
(
9.3k
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gate2015ee2
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18
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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makhdoom ghaya
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9.3k
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gate2015ee2
0
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19
GATE2015229
Consider a signal defined by $x(t)= = \begin{cases} e^{j10 t} & \text{for} t\leq 1 \\ 0& \text{for } t > 1 \end{cases}$ Its Fourier Transform is $\frac{2 \sin (\omega 10)}{\omega  10}$ $2e^{j10}\frac{ \sin (\omega 10)}{\omega  10}$ $\frac{2 \sin \omega}{\omega  10}$ $e^{j10 \omega }\frac{2 \sin\omega }{\omega }$
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Feb 12, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.3k
points)
gate2015ee2
fourieranalysis
causalsystem
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20
GATE2015227
Two coins $R$ and $S$ are tossed. The $4$ joint events $H_{R}H_{S}, T_{R}T_{S}, H_{R}T_{S}, T_{R}H_{S}$ have probabilities $0.28, 0.18, 0.30, 0.24$, respectively, where $H$ represents head and $T$ represents tail. Which one of the following is TRUE? The coin tosses are independent. R is fair, S is not. S is fair, R is not. The coin tosses are dependent.
asked
Feb 12, 2017
in
Probability & Statistics
by
makhdoom ghaya
(
9.3k
points)
gate2015ee2
events
samplespace
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GATE2015235
The $z$Transform of a sequence $x[n]$ is given as $X(z)=2z+44/z+3/z^{2}$. If $y[n]$ is the first difference of $x[n]$, then $Y(z)$ is given by $2z+28/z+7/z^{2}3/z^{3}$ $2z+26/z+1/z^{2}3/z^{3}$ $2z2+8/z7/z^{2}+3/z^{3}$ $4z28/z1/z^{2}+3/z^{3}$
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Feb 12, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.3k
points)
gate2015ee2
sequence
complexfrequencydomainrepresentation
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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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new
by
makhdoom ghaya
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9.3k
points)
gate2015ee2
0
votes
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answers
23
GATE2015228
A differential equation $\frac{di}{dt}0.2i=0$ is applicable over $−10 < t < 10$. If $i(4) = 10$, then $i(−5)$ is _________.
asked
Feb 12, 2017
in
Differential Equations
by
makhdoom ghaya
(
9.3k
points)
gate2015ee2
nonlinearequation
eulersequation
numericalanswers
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answers
24
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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new
by
makhdoom ghaya
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9.3k
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gate2015ee2
0
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answers
25
GATE2015231
A buck converter feeding a variable resistive load is shown in the figure. The switching frequency of the switch $S$ is $100$ kHz and the duty ratio is $0.6$. The output voltage $V_{0}$ is $36$ V. Assume that all the components are ideal, and that the output voltage is ripplefree. The value of $R$ (in Ohm) that will make the inductor current ($i_{L}$) just continuous is _________.
asked
Feb 12, 2017
in
Analog and Digital Electronics
by
makhdoom ghaya
(
9.3k
points)
gate2015ee2
stepdownconverter
ripplevoltages
numericalanswers
0
votes
0
answers
26
GATE2015234
For linear time invariant systems, that are Bounded Input Bounded Output stable, which one of the following statements is TRUE? The impulse response will be integrable, but may not be absolutely integrable. The unit impulse response will have finite support. The unit step response will be absolutely integrable. The unit step response will be bounded
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Feb 12, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.3k
points)
gate2015ee2
impulseresponse
unitstepresponse
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27
GATE2015232
For the switching converter shown in the following figure, assume steadystate operation. Also assume that the components are ideal, the inductor current is always positive and continuous and switching period is $T_{s}$. If the voltage $V_{L}$ is as shown, the duty cycle of the switch $S$ is ________.
asked
Feb 12, 2017
in
Analog and Digital Electronics
by
makhdoom ghaya
(
9.3k
points)
gate2015ee2
steadystateoperation
reversecurrent
numericalanswers
0
votes
0
answers
28
GATE2015230
The coils of a wattmeter have resistances $0.01 \Omega$ and $1000 \Omega$; their inductances may be neglected. The wattmeter is connected as shown in the figure, to measure the power consumed by a load, which draws $25 A$ at power factor $0.8$. The voltage across the load terminals is $30 V$. The percentage error on the wattmeter reading is ________.
asked
Feb 12, 2017
in
Electrical Circuits
by
makhdoom ghaya
(
9.3k
points)
gate2015ee2
powermeasurement
coils
powerfactor
numericalanswers
0
votes
0
answers
29
GATE2015233
In the given rectifier, the delay angle of the thyristor $T_{1}$ measured from the positive going zero crossing of $V_{s}$ is $30$°. If the input voltage $V_{s}$ is $100 \sin(100 \pi t) V$, the average voltage across $R$ (in Volt) under steadystate is _________.
asked
Feb 12, 2017
in
Analog and Digital Electronics
by
makhdoom ghaya
(
9.3k
points)
gate2015ee2
bridgerectifier
diodes
thyrister
numericalanswers
0
votes
0
answers
30
GATE2015221
A shuntconnected $DC$ motor operates at its rated terminal voltage. Its noload speed is $200$ radian/second. At its rated torque of $500$ Nm, its speed is $180$ radian/second. The motor is used to directly drive a load whose load torque $T_{L}$ ... . Neglecting rotational losses, the steadystate speed (in radian/second) of the motor, when it drives this load, is _________.
asked
Feb 12, 2017
in
Electrical Machines
by
makhdoom ghaya
(
9.3k
points)
gate2015ee2
noloadspeed
rotationallosses
numericalanswers
0
votes
0
answers
31
GATE2015226
The volume enclosed by the surface $f(x, y) = e^{x}$ over the triangle bounded by the lines $x = y; x = 0; y = 1$ in the $xy$ plane is ________.
asked
Feb 12, 2017
in
Calculus
by
makhdoom ghaya
(
9.3k
points)
gate2015ee2
lineequations
3dsystem
numericalanswers
0
votes
0
answers
32
GATE2015224
An open loop control system results in a response of $e^{2t}(\sin 5t+\cos 5t)$ for a unit impulse input. The $DC$ gain of the control system is ________.
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Feb 12, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
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gate2015ee2
openloopsystem
independantsystem
numericalanswers
0
votes
0
answers
33
GATE2015222
The figure shows the perphase equivalent circuit of a twopole threephase induction motor operating at $50$ Hz. The “airgap” voltage, $V_{g}$ across the magnetizing inductance, is $210$ V rms, and the slip, $s$, is $0.05$. The torque (in Nm) produced by the motor is _________.
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Feb 12, 2017
in
Electrical Machines
by
makhdoom ghaya
(
9.3k
points)
gate2015ee2
slipspeed
motor
winding
numericalanswers
0
votes
0
answers
34
GATE2015219
The current $i$ (in Ampere) in the $2 \Omega$ resistor of the given network is ________.
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Feb 12, 2017
in
Electrical Circuits
by
makhdoom ghaya
(
9.3k
points)
gate2015ee2
electriccircuitreduction
nodalanalysis
numericalanswers
0
votes
0
answers
35
GATE2015215
When a bipolar junction transistor is operating in the saturation mode, which one of the following statements is TRUE about the state of its collectorbase $(CB)$ and the baseemitter $(BE)$ junctions? The $CB$ junction is forward biased and the $BE$ junction ... forward biased. Both the $CB$ and $BE$ junctions are forward biased. Both the $CB$ and $BE$ junctions are reverse biased.
asked
Feb 12, 2017
in
Analog and Digital Electronics
by
makhdoom ghaya
(
9.3k
points)
gate2015ee2
bjtasswitch
commonemitter
0
votes
0
answers
36
GATE2015216
The synchronous generator shown in the figure is supplying active power to an infinite bus via two short, lossless transmission lines, and is initially in steady state. The mechanical power input to the generator and the voltage magnitude $E$ are constant. If one ... transient. Which one of the following waveforms of the rotor angle $\delta$ shows the transient correctly?
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Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.3k
points)
gate2015ee2
powersystemprotection
sourceofreactivepower
0
votes
0
answers
37
GATE2015217
A 3bus power system network consists of 3 transmission lines. The bus admittance matrix of the uncompensated system is $\begin{bmatrix} j6 &j3 &j4 \\ j3&j7 &j5 \\ j4& j5 & j8 \end{bmatrix}$ pu. If the shunt capacitance of all transmission ... $−j7.0$ $−j8.5$ $−j7.5$ $−j9.0$
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.3k
points)
gate2015ee2
busadmittancematrix
selfadmittance
mutual
admittance
0
votes
0
answers
38
GATE2015218
A series $RL$ circuit is excited at $t = 0$ by closing a switch as shown in the figure. Assuming zero initial conditions, the value of $\frac{d^{2}i}{dt^{2}}$ at $t=0^{+}$ is $\frac{V}{L}$ $\frac{V}{R}$ $0$ $\frac{RV}{L^{2}}$
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Feb 12, 2017
in
Electrical Circuits
by
makhdoom ghaya
(
9.3k
points)
gate2015ee2
switching
rlcircuit
zeroinitialcondition
0
votes
0
answers
39
GATE2015220
Find the transformer ratios $a$ and $b$ such that the impedance ($Z_{in}$) is resistive and equals $2.5 \Omega$ when the network is excited with a sine wave voltage of angular frequency of $5000$ rad/s. $a = 0.5, b = 2.0$ $a = 2.0, b = 0.5$ $a = 1.0, b = 1.0$ $a = 4.0, b = 0.5$
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.3k
points)
gate2015ee2
turnratio
transformercore
eddycurrent
0
votes
0
answers
40
GATE2015223
A $4$pole, separately excited, wave wound $DC$ machine with negligible armature resistance is rated for $230$ V and $5$ kW at a speed of $1200$ rpm. If the same armature coils are reconnected to form a lap winding, what is the rated voltage (in volts) and power (in kW) ... if the field circuit is left unchanged ? $230$ and $5$ $115$ and $5$ $115$ and $2.5$ $230$ and $2.5$
asked
Feb 12, 2017
in
Electrical Machines
by
makhdoom ghaya
(
9.3k
points)
gate2015ee2
lapwinding
armaturecore
revolutionperminute
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