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Recent questions tagged gate2015-ee-2
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1
GATE2015-2-55
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 $3(s+1)/(s^{2}-2s+2)$ $3(2s+1)/(s^{2}-2s+1)$ $(s+1)/(s^{2}-2s+1)$ $3(2s+1)/(s^{2}-2s+2)$
asked
Feb 12, 2017
in
new
by
makhdoom ghaya
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9.3k
points)
gate2015-ee-2
0
votes
0
answers
2
GATE2015-2-51
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 _______.
asked
Feb 12, 2017
in
new
by
makhdoom ghaya
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9.3k
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gate2015-ee-2
numerical-answers
0
votes
0
answers
3
GATE2015-2-54
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
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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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gate2015-ee-2
0
votes
0
answers
4
GATE2015-2-53
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?
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Feb 12, 2017
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makhdoom ghaya
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9.3k
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gate2015-ee-2
0
votes
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5
GATE2015-2-52
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 $h$. $\dfrac{x_{k+1}-x_{k}}{h}=y_{k}$ ... $0 < h <\dfrac{1}{2\pi} \\$ The system is stable for $\dfrac{1}{2\pi}<h<\dfrac{1}{\pi}$
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Feb 12, 2017
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new
by
makhdoom ghaya
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9.3k
points)
gate2015-ee-2
0
votes
0
answers
6
GATE2015-2-48
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 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 _________.
asked
Feb 12, 2017
in
new
by
makhdoom ghaya
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9.3k
points)
gate2015-ee-2
numerical-answers
0
votes
0
answers
7
GATE2015-2-39
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
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Feb 12, 2017
in
new
by
makhdoom ghaya
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9.3k
points)
gate2015-ee-2
0
votes
0
answers
8
GATE2015-2-50
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 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 _________.
asked
Feb 12, 2017
in
new
by
makhdoom ghaya
(
9.3k
points)
gate2015-ee-2
numerical-answers
0
votes
0
answers
9
GATE2015-2-47
A three-winding transformer is connected to an $AC$ voltage source as shown in the figure. The number of turns are as follows: $N_{1} = 100, N_{2} = 50, N_{3} = 50$ ... $1\angle 90^{\circ}$ $1\angle 270^{\circ}$ $4\angle 90^{\circ}$ $4\angle 270^{\circ}$
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Feb 12, 2017
in
new
by
makhdoom ghaya
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9.3k
points)
gate2015-ee-2
0
votes
0
answers
10
GATE2015-2-40
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 $\dfrac{dC_{1}}{dP_{1}}=0.2P_{1}+50$ $\dfrac{dC_{2}}{dP_{2}}=0.24P_{2}+40$ ... 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 ________.
asked
Feb 12, 2017
in
new
by
makhdoom ghaya
(
9.3k
points)
gate2015-ee-2
numerical-answers
0
votes
0
answers
11
GATE2015-2-45
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 ______.
asked
Feb 12, 2017
in
new
by
makhdoom ghaya
(
9.3k
points)
gate2015-ee-2
numerical-answers
0
votes
0
answers
12
GATE2015-2-43
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 side. If the magnetizing ... $50\angle 30^\circ$ $50\angle- 30^\circ$ $50\sqrt{3}\angle 30^\circ$ $200\angle 30^\circ$
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Feb 12, 2017
in
new
by
makhdoom ghaya
(
9.3k
points)
gate2015-ee-2
0
votes
0
answers
13
GATE2015-2-49
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 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 __________.
asked
Feb 12, 2017
in
new
by
makhdoom ghaya
(
9.3k
points)
gate2015-ee-2
numerical-answers
0
votes
0
answers
14
GATE2015-2-46
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 ________.
asked
Feb 12, 2017
in
new
by
makhdoom ghaya
(
9.3k
points)
gate2015-ee-2
numerical-answers
0
votes
0
answers
15
GATE2015-2-42
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 $300$ A as shown in figure. $i_{1}=1\sqrt{3}A, i_{2}=0A$ $i_{1}=0A, i_{2}=0A$ $i_{1}=0A, i_{2}=1\sqrt{3}A$ $i_{1}=1\sqrt{3}A, i_{2}=1\sqrt{3}A$
asked
Feb 12, 2017
in
new
by
makhdoom ghaya
(
9.3k
points)
gate2015-ee-2
0
votes
0
answers
16
GATE2015-2-41
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 __________.
asked
Feb 12, 2017
in
new
by
makhdoom ghaya
(
9.3k
points)
gate2015-ee-2
numerical-answers
0
votes
0
answers
17
GATE2015-2-44
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 $173.2\angle -60^{\circ}$ $173.2\angle 120^{\circ}$ $100.0\angle -60^{\circ}$ $100.0\angle 120^{\circ}$
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Feb 12, 2017
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new
by
makhdoom ghaya
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9.3k
points)
gate2015-ee-2
0
votes
0
answers
18
GATE2015-2-34
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
asked
Feb 12, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.3k
points)
gate2015-ee-2
impulse-response
unit-step-response
0
votes
0
answers
19
GATE2015-2-35
The $z$-Transform of a sequence $x[n]$ is given as $X(z)=2z+4-4/z+3/z^{2}$. If $y[n]$ is the first difference of $x[n]$, then $Y(z)$ is given by $2z+2-8/z+7/z^{2}-3/z^{3}$ $-2z+2-6/z+1/z^{2}-3/z^{3}$ $-2z-2+8/z-7/z^{2}+3/z^{3}$ $4z-2-8/z-1/z^{2}+3/z^{3}$
asked
Feb 12, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.3k
points)
gate2015-ee-2
sequence
complex-frequency-domain-representation
0
votes
0
answers
20
GATE2015-2-37
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 $00$ $01$ $10$ $11$
asked
Feb 12, 2017
in
new
by
makhdoom ghaya
(
9.3k
points)
gate2015-ee-2
0
votes
0
answers
21
GATE2015-2-30
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)
gate2015-ee-2
power-measurement
coils
power-factor
numerical-answers
0
votes
0
answers
22
GATE2015-2-32
For the switching converter shown in the following figure, assume steady-state 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)
gate2015-ee-2
steady-state-operation
reverse-current
numerical-answers
0
votes
0
answers
23
GATE2015-2-29
Consider a signal defined by $x(t)= \begin{cases} e^{j10 t} & \text{for } \mid t \mid \leq 1 \\ 0& \text{for } \mid t \mid > 1\end{cases}$ Its Fourier Transform is $\dfrac{2 \sin (\omega -10)}{\omega - 10}\\$ $2e^{j10}\dfrac{ \sin (\omega -10)}{\omega - 10} \\$ $\dfrac{2 \sin \omega}{\omega - 10} \\$ $e^{j10 \omega }\dfrac{2 \sin\omega }{\omega }$
asked
Feb 12, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.3k
points)
gate2015-ee-2
fourier-analysis
causal-system
0
votes
0
answers
24
GATE2015-2-28
A differential equation $\dfrac{di}{dt}-0.2i=0$ 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)
gate2015-ee-2
non-linear-equation
eulers-equation
numerical-answers
0
votes
0
answers
25
GATE2015-2-27
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)
gate2015-ee-2
events
sample-space
0
votes
0
answers
26
GATE2015-2-33
In the given rectifier, the delay angle of the thyristor $T_{1}$ measured from the positive going zero crossing of $V_{s}$ is $30^\circ$. If the input voltage $V_{s}$ is $100 \sin(100 \pi t) V$, the average voltage across $R$ (in Volt) under steady-state is _________.
asked
Feb 12, 2017
in
Analog and Digital Electronics
by
makhdoom ghaya
(
9.3k
points)
gate2015-ee-2
bridge-rectifier
diodes
thyrister
numerical-answers
0
votes
0
answers
27
GATE2015-2-36
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 given by $0 \\$ ... $\dfrac{1-2\sqrt{2}}{8\sqrt{2}} \hat{t}+\dfrac{1-2\sqrt{2}}{8\sqrt{2}} \hat{j}$
asked
Feb 12, 2017
in
new
by
makhdoom ghaya
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9.3k
points)
gate2015-ee-2
0
votes
0
answers
28
GATE2015-2-31
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 $V_{o}$ is $36$ V. Assume that all the components are ideal, and that the output voltage is ripple-free. 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)
gate2015-ee-2
step-down-converter
ripple-voltages
numerical-answers
0
votes
0
answers
29
GATE2015-2-38
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 $S_{2} S_{1} S_{0}$ of the multiplexer respectively. Which one of the following options gives the correct ... $D, 1, D, 1, 1, 1, \overline{D}, D$ $\overline{D}, 0, \overline{D}, 0, 0, 0,D, \overline{D}$
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Feb 12, 2017
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new
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9.3k
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gate2015-ee-2
0
votes
0
answers
30
GATE2015-2-24
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 ________.
asked
Feb 12, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
points)
gate2015-ee-2
open-loop-system
independant-system
numerical-answers
0
votes
0
answers
31
GATE2015-2-18
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 $\dfrac{d^{2}i}{dt^{2}}$ at $t=0^{+}$ is $\dfrac{V}{L} \\$ $\dfrac{-V}{R} \\$ $0 \\$ $\dfrac{-RV}{L^{2}}$
asked
Feb 12, 2017
in
Electrical Circuits
by
makhdoom ghaya
(
9.3k
points)
gate2015-ee-2
switching
rl-circuit
zero-initial-condition
0
votes
0
answers
32
GATE2015-2-17
A $3$-bus 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)
gate2015-ee-2
bus-admittance-matrix
self-admittance
mutual
admittance
0
votes
0
answers
33
GATE2015-2-26
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)
gate2015-ee-2
line-equations
3d-system
numerical-answers
0
votes
0
answers
34
GATE2015-2-22
The figure shows the per-phase equivalent circuit of a two-pole three-phase induction motor operating at $50$ Hz. The “air-gap” 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 _________.
asked
Feb 12, 2017
in
Electrical Machines
by
makhdoom ghaya
(
9.3k
points)
gate2015-ee-2
slip-speed
motor
winding
numerical-answers
0
votes
0
answers
35
GATE2015-2-21
A shunt-connected $DC$ motor operates at its rated terminal voltage. Its no-load 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 steady-state 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)
gate2015-ee-2
no-load-speed
rotational-losses
numerical-answers
0
votes
0
answers
36
GATE2015-2-19
The current $i$ (in Ampere) in the $2 \Omega$ resistor of the given network is ________.
asked
Feb 12, 2017
in
Electrical Circuits
by
makhdoom ghaya
(
9.3k
points)
gate2015-ee-2
electric-circuit-reduction
nodal-analysis
numerical-answers
0
votes
0
answers
37
GATE2015-2-15
When a bipolar junction transistor is operating in the saturation mode, which one of the following statements is TRUE about the state of its collector-base $(CB)$ and the base-emitter $(BE)$ 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)
gate2015-ee-2
bjt-as-switch
common-emitter
0
votes
0
answers
38
GATE2015-2-16
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?
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.3k
points)
gate2015-ee-2
power-system-protection
source-of-reactive-power
0
votes
0
answers
39
GATE2015-2-20
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)
gate2015-ee-2
turn-ratio
transformer-core
eddy-current
0
votes
0
answers
40
GATE2015-2-23
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)
gate2015-ee-2
lap-winding
armature-core
revolution-per-minute
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