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GATE2016155
In the circuit shown below, the node voltage $V_{A}$ is ___________ $V$.
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Electrical Circuits
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100
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gate2016ee1
elctronics
dependentvoltgesource
nodalanalysis
numericalanswers
0
votes
0
answers
2
GATE2016154
The circuit below is excited by a sinusoidal source. The value of $R$, in $\Omega$, for which the admittance of the circuit becomes a pure conductance at all frequencies is _____________.
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Electrical Circuits
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jothee
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100
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gate2016ee1
capacitance
inductance
sinusoidalsource
numericalanswers
0
votes
0
answers
3
GATE2016153
A dc voltage with ripple is given by $v(t)=\left [ 100+10\sin\left ( \omega t \right )5\sin\left ( 3\omega t \right ) \right ]$ volts. Measurements of this voltage $v(t)$ made by movingcoil and movingiron voltmeters, show readings of $V_{1}$ and $V_{2}$ respectively. The value of $V_{2} − V_{1}$, in volts, is ________.
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Electromagnetic Fields
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jothee
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100
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gate2016ee1
faradaylaw
magneticinduction
inducedemf
numericalanswers
0
votes
0
answers
4
GATE2016152
In the circuit shown below, the supply voltage is $10 \sin(1000t)$ volts. The peak value of the steady state current through the $1 \Omega$ resistor, in amperes, is ________.
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Electrical Circuits
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jothee
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100
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gate2016ee1
meshanalysis
nodalanalysis
sinusoidalvoltagesource
numericalanswers
0
votes
0
answers
5
GATE2016151
A singlephase transmission line has two conductors each of $10$ mm radius. These are fixed at a centertocenter distance of $1$ m in a horizontal plane. This is now converted to a threephase transmission line by introducing a third conductor of the same ... $5$% more than that of the inductance per conductor of the singlephase system. The distance $D$, in meters, is _________.
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Power Systems
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jothee
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100
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gate2016ee1
transmissionsystemdesign
transmissionparameters
transposition
numericalanswers
0
votes
0
answers
6
GATE2016148
A threephase, $50 Hz$ salientpole synchronous motor has a perphase directaxis reactance $(X_{d})$ of $0.8$ pu and a perphase quadratureaxis reactance $(X_{q})$ of $0.6$ pu. Resistance of the machine is negligible. It is drawing fullload current at $0.8$ pf(leading). When the terminal voltage is $1$ pu, perphase induced voltage, in pu, is _______.
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Electrical Machines
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jothee
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100
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gate2016ee1
damperwinding
constantdcfieldwinding
reactivepower
numericalanswers
0
votes
0
answers
7
GATE2016147
A $DC$ shunt generator delivers $45 A$ at a terminal voltage of $220 V$. The armature and the shunt field resistances are $0.01 \Omega$ and $44 \Omega$ respectively. The stray losses are $375 W$. The percentage efficiency of the $DC$ generator is _________.
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Electrical Machines
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jothee
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100
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gate2016ee1
efficiency
corelosses
misclosses
numericalanswers
0
votes
0
answers
8
GATE2016146
A singlephase $400 V, 50 Hz$ transformer has an iron loss of $5000 W$ at the rated condition. When operated at $200 V, 25 Hz$, the iron loss is $2000 W$. When operated at $416 V, 52 Hz$, the value of the hysteresis loss divided by the eddy current loss is _______.
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Electrical Machines
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jothee
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100
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gate2016ee1
transformerwinding
transformercore
hysterisisloss
numericalanswers
0
votes
0
answers
9
GATE2016145
The voltage $(v_{s})$ across and the current $(i_{s})$ through a semiconductor switch during a turnON transition are shown in figure. The energy dissipated during the turnON transition, in $mJ$, is _______.
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Electrical Circuits
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jothee
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100
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gate2016ee1
semiconductordevices
bipolarjunction
transistors
turnoncharacteristicsoftransistor
numericalanswers
0
votes
0
answers
10
GATE2016144
The switches $T1$ and $T2$ in Figure (a) are switched in a complementary fashion with sinusoidal pulse width modulation technique. The modulating voltage $v_{m}(t)=0.8\sin (200\pi t) V$ and the triangular carrier voltage $(v_{c})$ are as shown in Figure (b). The ... frequency is $5 kHz$. The peak value of the $100 Hz$ component of the load current $(i_{L})$, in ampere, is ________ .
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Electrical Circuits
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jothee
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100
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gate2016ee1
pulsewidthmodulation
carrierwaves
modulatingtechniques
numericalanswers
0
votes
0
answers
11
GATE2016141
A $30 MVA$, $3$phase, $50 Hz$, $13.8 kV$, starconnected synchronous generator has positive, negative and zero sequence reactances, $15$%, $15$% and $5$% respectively. A reactance $(X_{n})$ is connected between the neutral of the generator and ground. A double ... $X_{n}$ (in p.u.) that will limit the positive sequence generator current to $4270$ A is ________.
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Power Systems
by
jothee
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100
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gate2016ee1
slip
powersystemfaults
sequencenetworks
numericalanswers
0
votes
0
answers
12
GATE2016140
A threephase cable is supplying $800 kW$ and $600 kVAr$ to an inductive load. It is intended to supply an additional resistive load of $100 kW$ through the same cable without increasing the heat dissipation in the cable, by providing a threephase bank of ... the line voltage is $3.3 kV$, $50 Hz$, the capacitance per phase of the bank, expressed in microfarads, is ________.
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Power Systems
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jothee
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100
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gate2016ee1
activepower
reactivepower
heatlosses
numericalanswers
0
votes
0
answers
13
GATE2016139
In the circuit shown, switch $S_{2}$ has been closed for a long time. At time $t=0$ switch $S_{1}$ is closed. At $t=0^{+}$, the rate of change of current through the inductor, in amperes per second, is _____.
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Electrical Circuits
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jothee
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100
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gate2016ee1
highfrequencyswitch
dcbattery
rlload
numericalanswers
0
votes
0
answers
14
GATE2016133
Given the following polynomial equation $s^{3}+5.5 s^{2}+8.5s+3=0$ the number of roots of the polynomial, which have real parts strictly less than $−1$, is ________.
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Linear Algebra
by
jothee
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100
points)
gate2016ee1
multiplicity
degreeofpolynomial
numericalanswers
0
votes
0
answers
15
GATE2016131
Consider the following statespace representation of a linear timeinvariant system. $x(t)=\begin{pmatrix} 1&0 \\ 0&2 \end{pmatrix} x(t), y(t)= c^{T} x(t), c =\begin{pmatrix} 1& \\ 1& \end{pmatrix} \text {and} x(0)= \begin{pmatrix} 1& \\ 1& \end{pmatrix}$ The value of y(t) for $t =\log_{e} 2$ is __________.
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Control Systems
by
jothee
(
100
points)
gate2016ee1
transformation
statespaceequations
correlation
numericalanswers
0
votes
0
answers
16
GATE2016127
Let $S=\sum_{n=0}^{\infty} n\alpha^{n}$ where $\alpha < 1$. The value of $\alpha$ in the range $0 < \alpha < 1$, such that $S=2 \alpha$ is _________.
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Signals and Systems
by
jothee
(
100
points)
gate2016ee1
fouriertransform
samplingtheorem
ztransform
numericalanswers
0
votes
0
answers
17
GATE2016126
Candidates were asked to come to an interview with $3$ pens each. Black, blue, green and red were the permitted pen colours that the candidate could bring. The probability that a candidate comes with all $3$ pens having the same colour is _________.
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Probability & Statistics
by
jothee
(
100
points)
gate2016ee1
randomvariable
event
mean
numericalanswers
0
votes
0
answers
18
GATE2016123
A steady dc current of $100$ $A$ is flowing through a power module $(S, D)$ as shown in Figure (a). The $VI$ characteristics of the $IGBT (S)$ and the diode $(D)$ are shown in Figures $(b)$ and $(c)$, respectively. The conduction power loss in the power module $(S, D)$, in watts, is _________.
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Analog and Digital Electronics
by
jothee
(
100
points)
gate2016ee1
voltagevscurrent
transistor
diode
numericalanswers
0
votes
0
answers
19
GATE2016122
A buck converter, as shown in Figure (a) below, is working in steady state. The output voltage and the inductor current can be assumed to be ripple free. Figure (b) shows the inductor voltage $v_{L}$ during a complete switching interval. Assuming all devices are ideal, the duty cycle of the buck converter is ___________.
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Electrical and Electronic Measurements
by
jothee
(
100
points)
gate2016ee1
voltagelevelshift
continuousconductionmode
boundaryconditions
reversecurrent
numericalanswers
0
votes
0
answers
20
GATE2016120
The magnitude of threephase fault currents at buses $A$ and $B$ of a power system are $10$ pu and $8$ pu, respectively. Neglect all resistances in the system and consider the prefault system to be unloaded. The prefault voltage at all buses in the system is $1.0$ pu. ... $A$ is $0.8$ pu. The voltage magnitude at bus $A$ during a threephase fault at bus $B$, in pu, is __________.
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Power Systems
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jothee
(
100
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gate2016ee1
faultanalysis
powersystembuses
3phaseshortcircuit
numericalanswers
0
votes
0
answers
21
GATE2016118
In the given circuit, the current supplied by the battery, in ampere, is ________.
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Electrical Circuits
by
jothee
(
100
points)
gate2016ee1
voltagedivider
dependentcurrentsource
superposition
numericalanswers
0
votes
0
answers
22
GATE2016117
In the portion of a circuit shown, if the heat generated in $5 \Omega$ resistance is $10$ calories per second, then heat generated by the $4 \Omega$ resistance, in calories per second, is ________.
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Electrical Circuits
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jothee
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100
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gate2016ee1
parallelcombination
seriescombination
currentdividercircuit
numericalanswers
0
votes
0
answers
23
GATE2016114
A softiron toroid is concentric with a long straight conductor carrying a direct current $I$. If the relative permeability $\mu_{r}$ of softiron is $100$, the ratio of the magnetic flux densities at two adjacent points located just inside and just outside the toroid, is ________.
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Electromagnetic Fields
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jothee
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100
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gate2016ee1
currentcarryingconductor
electromagnetism
faradayslaw
numericalanswers
0
votes
0
answers
24
GATE2016112
A transistor circuit is given below. The Zener diode breakdown voltage is $5.3$ V as shown. Take base to emitter voltage drop to be $0.6$ V. The value of the current gain $\beta$ is _________.
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Electrical Circuits
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jothee
(
100
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gate2016ee1
semiconductordevices
reversesaturationmode
voltagedivider
numericalanswers
0
votes
0
answers
25
GATE201612
Consider a $3 \times 3$ matrix with every element being equal to $1$. Its only nonzero eigenvalue is ________.
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Linear Algebra
by
jothee
(
100
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gate2016ee1
characteristicequation
diagonalizingmatrices
invertiblematrix
numericalanswers
0
votes
0
answers
26
GATE201611
The maximum value attained by the function. $f(x) = x(x1) (x2)$ in the interval $[1, 2]$ is ___________.
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Differential Equations
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jothee
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100
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gate2016ee1
maxima
minima
criticalpoint
closedinterval
numericalanswers
0
votes
0
answers
27
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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Signals and Systems
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100
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gate2015ee2
impulseresponse
unitstepresponse
0
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0
answers
28
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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new
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100
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gate2015ee2
numericalanswers
0
votes
0
answers
29
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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new
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100
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gate2015ee2
numericalanswers
0
votes
0
answers
30
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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gate2015ee2
numericalanswers
0
votes
0
answers
31
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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100
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gate2015ee2
numericalanswers
0
votes
0
answers
32
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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gate2015ee2
numericalanswers
0
votes
0
answers
33
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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gate2015ee2
numericalanswers
0
votes
0
answers
34
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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new
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jothee
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100
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gate2015ee2
numericalanswers
0
votes
0
answers
35
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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gate2015ee2
numericalanswers
0
votes
0
answers
36
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 _________.
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Analog and Digital Electronics
by
jothee
(
100
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gate2015ee2
bridgerectifier
diodes
thyrister
numericalanswers
0
votes
0
answers
37
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 ________.
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Analog and Digital Electronics
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jothee
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100
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gate2015ee2
steadystateoperation
reversecurrent
numericalanswers
0
votes
0
answers
38
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 _________.
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Analog and Digital Electronics
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jothee
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100
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gate2015ee2
stepdownconverter
ripplevoltages
numericalanswers
0
votes
0
answers
39
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 ________.
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Electrical Circuits
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jothee
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100
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gate2015ee2
powermeasurement
coils
powerfactor
numericalanswers
0
votes
0
answers
40
GATE2015228
A differential equation $\frac{di}{dt}0.2i=0$ is applicable over $−10 < t < 10$. If $i(4) = 10$, then $i(−5)$ is _________.
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Differential Equations
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jothee
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100
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gate2015ee2
nonlinearequation
eulersequation
numericalanswers
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