GATE EE 2017 Set 2

## GATE EE

For the circuit shown in the figure below, it is given that $${V_{CE}} = {{{V_{CC}}} \over 2}.$$ The transistor has $$\b

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For the circuit shown below, assume that the $$OPAMP$$ is ideal.
Which one of the following is TRUE?

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When a unit ramp input is applied to the unity feedback system having closed loop transfer function $${{C\left( s \right

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The range of K for which all the roots of the equation $${s^3} + 3{s^2} + 2s + K = 0$$ are in the left half of the compl

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The root locus of the feedback control system having the characteristic equation $${s^2} + 6Ks + 2s + 5 = 0$$ where $$K&

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The transfer function $$C(s)$$ of a compensator is given below:
$$C\left( s \right) = {{\left( {1 + {s \over {0.1}}} \r

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Consider the system described by the following state space representation
$$\eqalign{
& \left[ {\matrix{
{\mat

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For a $$3$$ -input logic circuit shown below, the output $$Z$$ can be expressed as

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For the synchronous sequential circuit shown below, the output $$Z$$ is zero for the initial conditions $${Q_A}{Q_B}{Q_C

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For the network given in figure below, the Thevenin's voltage Vab is

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The initial charge in the 1 F capacitor present in the circuit shown is zero. The energy in joules
transferred from the

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The mean square value of the given periodic waveform f(t) is_________.

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In the circuit shown below, the value of capacitor C required for maximum power to be
transferred to the load is

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For the balanced Y-Y connected 3-Phase circuit shown in the figure below, the line-line voltage
is 208 V rms and the tot

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For the given 2-port network, the value of transfer impedance Z21 in ohms is_______.

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Two resistors with nominal resistance values $${R_1}$$ and $${R_2}$$ have additive uncertainties $$\Delta {R_1}$$ and $$

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A stationary closed Lissajous pattern on an oscilloscope has $$3$$ horizontal tangencies and $$2$$ vertical tangencies f

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A $$10{\raise0.5ex\hbox{$\scriptstyle 1$}
\kern-0.1em/\kern-0.15em
\lower0.25ex\hbox{$\scriptstyle 2$}}$$ digit timer

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A 120 V DC shunt motor takes 2 A at no load. It takes 7 A on full load while running at 1200
rpm. The armature resistanc

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A 220 V, 10 kW, 900 rpm separately excited DC motor has an armature resistance Ra= 0.02 Ω.
When the motor operates at ra

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If the primary line voltage rating is 3.3 kV (Y side) of a 25 kVA. $$Y-\triangle$$ transformer (the per phase turns rati

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A 3-phase, 4-pole, 400 V, 50 Hz squirrel-cage induction motor is operating at a slip of 0.02. The
speed of the rotor flu

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A star-connected, 12.5 kW, 208 V (line), 3-phase, 60 Hz squirrel cage induction motor has
following equivalent circuit p

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If a synchronous motor is running at a leading power factor, its excitation induced voltage (Er) is

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A $$3$$-phase, $$2$$-pole, $$50$$ $$Hz,$$ synchronous generator has a rating of $$250$$ $$MVA,$$ $$0.8$$ $$pf$$ lagging.

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Two generating units rated $$300$$ $$MW$$ and $$400$$ $$MW$$ have governor speed regulation of $$6\% $$ and $$4\% $$ res

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A $$25$$ $$kVA,$$ $$400$$ $$V,$$ $$\Delta $$ - connected, $$3$$-phase, cylindrical rotor synchronous generator requires

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A thin soap bubble of radius R = 1 cm, and thickness a = 3.3 µm(a << R), is at a potential of 1
V with respect to

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Consider a solid sphere of radius 5 cm made of a perfect electric conductor. If one million
electrons are added to this

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The figures show diagrammatic representations of vector fields $$\overrightarrow X,\;\overrightarrow Y,\;and\;\overright

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The eigen values of the matrix given below are $$\left[ {\matrix{
0 & 1 & 0 \cr
0 & 0 & 1 \cr

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Let $$\,{y^2} - 2y + 1 = x$$ and $$\,\sqrt x + y = 5.\,\,$$ The value of $$\,x + \sqrt y \,\,$$ equals ________. (Given

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Consider a function $$f\left( {x,y,z} \right)$$ given by $$f\left( {x,y,z} \right) = \left( {{x^2} + {y^2} - 2{z^2}} \r

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Let $$x$$ and $$y$$ be integers satisfying the following equations
$$$2{x^2} + {y^2} = 34$$$
$$$x + 2y = 11$$$
The valu

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Let $$g\left( x \right) = \left\{ {\matrix{
{ - x} & {x \le 1} \cr
{x + 1} & {x \ge 1} \cr
} } \righ

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A person decides to toss a fair coin repeatedly until he gets a head. He will make at most $$3$$ tosses. Let the random

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An urn contains $$5$$ red balls and $$5$$ black balls. In the first draw, one ball is picked at random and discarded wit

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Assume that in a traffic junction, the cycle of the traffic signal lights is $$2$$ minutes of green (vehicle does not st

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The value of the contour integral in the complex - plane $$\oint {{{{z^3} - 2z + 3} \over {z - 2}}} dz$$ along the conto

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A phase-controlled, single-phase, full-bridge converter is fed from a $$230$$ $$V,$$ $$50$$ $$Hz,$$ $$AC$$ source. The f

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In the circuit shown, the diodes are ideal, the inductance is small, and $${{\rm I}_0} \ne 0.$$ Which one of the followi

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The figure below shows the circuit diagram of a controlled rectifier supplied from a $$230V,$$ $$50$$
$$Hz,$$ $$1$$-phas

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In the circuit shown all elements are ideal and the switch $$S$$ is operated at $$10$$ $$kHz$$ and $$60$$% duty ratio. T

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A three-phase voltage source inverter with ideal devices operating in $${180^ \circ }$$ conduction mode is feeding a bal

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The figure below shows a half-bridge voltage source inverter supplying an $$RL$$-load with $$R = 40\,\,\Omega $$ and $$L

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The normal - $$\pi $$ circuit of a transmission line is shown in the figure.
Impedance $$Z = 100\angle {80^ \circ }$$

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A 3-phase 50 Hz generator supplies power of 3 MW at 17.32 kV to a balanced 3-phase inductive load through an overhead li

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Consider an overhead transmission line with $$3$$-phase, $$50$$ $$Hz$$ balanced system with conductors located at the ve

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A 3-phase, 2-pole, 50 Hz, synchronous generator has a rating of 250 MVA, 0.8 pf lagging. The kinetic energy of the machi

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The figure show the per-phase representation of a phase-shifting transformer connected between buses $$1$$ and $$2,$$ wh

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In a load flow problem solved by Newton-Raphson method with polar coordinates, the size of the Jacobian is $$\,100\,\, \

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The output y(t) of the following system is to be sampled, so as to reconstruct it from its samples
uniquely. The require

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A cascade system having the impulse responses $$$\begin{array}{l}h_1\left(n\right)=\left\{1,\;-1\right\}\;\;\;and\;\;h_2

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The pole-zero plots of three discrete-time systems P, Q and R on the z-plane are shown below.
Which one of the followin

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