GATE EE 2014 Set 2

## GATE EE

The sinusoidal ac source in the figure has an rms value of $${{20} \over {\sqrt 2 }}\,V.$$ Considering all possible valu

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Assuming the diodes to be ideal in the figure, for the output to be clipped, the input voltage $${V_i}$$ must be outside

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The transistor in the given circuit should always be in active region. Take $${V_{CE\left( {sat} \right)}} = 0.2\,\,V,\

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An oscillator circuit using ideal op-amp and diodes is shown in the figure.
The duration for $$+ve$$ part of the cyc

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The closed-loop transfer function of a system is $$T\left( s \right) = {4 \over {\left( {{s^2} + 0.4s + 4} \right)}}.$$

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A system with the open loop transfer function $$G\left( s \right) = {K \over {s\left( {s + 2} \right)\left( {{s^2} + 2s

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For the transfer function $$G\left( s \right) = {{5\left( {s + 4} \right)} \over {s\left( {s + 0.25} \right)\left( {{s^2

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The state transition matrix for the system $$\left[ {\matrix{
{\mathop {{x_1}}\limits^ \bullet } \cr
{\mathop {

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The second order dynamic system $${{dX} \over {dt}} = PX + Qu,\,\,\,y = RX$$ has the matrices $$P,Q,$$ and $$R$$ as foll

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The $$SOP$$ (sum of products) from of a Boolean function is $$\sum \left( {0,1,3,7,11} \right),$$ where inputs are $$A,B

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A $$JK$$ flip flop can be implemented by $$T$$ flip flops. Identify the correct implementation.

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In an $$8085$$ microprocessor, the following program is executed
At the end of program, register $$A$$ contains

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Two identical coupled inductors are connected in series. The measured inductances for the
two possible series connection

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The switch SW shown in the circuit is kept at position ‘1’ for a long duration. At t = 0+, the
switch is moved to positi

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The total power dissipated in the circuit, show in the figure, is 1kW.
The ideal voltmeter, across the load, reads 200

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The voltage across the capacitor, as sown in the figure, is expressed as
$$$V_c\left(t\right)=A_1\sin\left(\omega_1t-\th

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Suppose that resistors $${R_1}$$ ܴand $${R_2}$$ ܴare connected in parallel to give an equivalent resistor $$R.$$ If resi

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The saw-tooth voltage waveform shown in the figure is fed to a moving iron voltmeter. Its reading would be close to ____

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Two ammeters $$X$$ and $$Y$$ have resistances of $$1.2$$ $$\Omega $$ and $$1.5$$ $$\Omega $$ respectively and they give

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While measuring power of a three-phase balanced load by the two-wattmeter method, the readings are $$100$$ $$W$$ and $$2

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A 250 V dc shunt machine has armature circuit resistance of 0.6 $$\Omega$$ and field circuit resistance
of 125 $$\Omega$

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Assuming an ideal transformer, The Thevenin's equivalent voltage and impedance as seen
from the terminals x and y for th

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A single phase, 50 kVA, 1000 V/100 V two winding transformer is connected as an
autotransformer as shown in the figure.

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For a single phase, two winding transformer, the supply frequency and voltage are both
increased by 10%. The percentage

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In a constant V/f control of induction motor, the ratio V/f is maintained constant from 0 to
base frequency, where V is

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A three-phase, 4-pole, self excited induction generator is feeding power to a load at a
frequency $$f_1$$. If the load i

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A three-phase slip-ring induction motor, provided with a commutator winding, is shown in
the figure. The motor rotates i

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A $$20$$-pole alternator is having $$180$$ identical stator slots with $$6$$ conductors in each slot. All the coils of a

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There are two generators in a power system. No-load frequencies of the generators are $$51.5$$ $$Hz$$ and $$51$$ $$Hz,$$

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A synchronous generator is connected to an infinite bus with excitation voltage $${E_f} = 1.3\,pu.$$ The generator has a

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A parallel plate capacitor consisting two dielectric materials is shown in the figure. The
middle dielectric slab is pla

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The magnitude of magnetic flux density ($$\overrightarrow B$$)
at a point having normal distance d meters from
an infini

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Which one of the following statements is true for all real symmetric matrices?

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Minimum of the real valued function $$f\left( x \right) = {\left( {x - 1} \right)^{2/3}}$$ occurs at $$x$$ equal to

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To evaluate the double integral $$\int\limits_0^8 {\left( {\int\limits_{y/2}^{\left( {y/2} \right) + 1} {\left( {{{2x -

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The minimum value of the function $$f\left( x \right) = {x^3} - 3{x^2} - 24x + 100$$ in the interval $$\left[ { - 3,3} \

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Consider a die with the property that the probability of a face with $$'n'$$ dots showing up is proportional to $$'n'.$$

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Let $$X$$ be a random variable with probability density function $$f\left( x \right) = \left\{ {\matrix{
{0.2} &

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Consider the differential equation $${x^2}{{{d^2}y} \over {d{x^2}}} + x{{dy} \over {dx}} - y = 0.\,\,$$ Which of the fo

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All the values of the multi valued complex function $${1^i},$$ where $$i = \sqrt { - 1} $$ are

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The $$SCR$$ in the circuit shown has a latching current of $$40$$ $$mA.$$ A gate pulse of $$50$$ $$\mu s$$ is applied to

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A fully controlled converter bridge feeds a highly inductive load with ripple free load current. The input supply $$\lef

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A step-up chopper is used to feed a load at $$400$$ $$V$$ $$dc$$ from a $$250$$ $$V$$ $$dc$$ source. The inductor curren

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A single-phase $$SCR$$ based $$ac$$ regulator is feeding power to a load consisting of $$5\,\,\Omega $$ resistance and $

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A single phase induction motor draws $$12MW$$ power at $$0.6$$ lagging power. A capacitor is connected in parallel to th

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The horizontally placed conductors of a single phase line operating at $$50$$ $$Hz$$ are having outside diameter of $$1.

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Shunt reactors are sometimes used in high voltage transmission systems to

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A three phase star-connected load is drawing power at a voltage of 0.9 pu and 0.8 power factor lagging. The three phase

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A three phase, $$100$$ $$MVA,$$ $$25$$ $$kV$$ generator has solidly grounded neutral. The positive, negative, and the ze

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Consider an LTI system with impulse response $$h\left(t\right)=e^{-5t}u\left(t\right)$$ . If the output of the system is

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Consider an LTI system with transfer function $$H\left(s\right)=\frac1{s\left(s+4\right)}$$.If the input to the system i

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A 10 kHz even-symmetric square wave is passed through a bandpass filter with centre
frequency at 30 kHz and 3 dB passban

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An input signal x(t) = 2 + 5sin(100$$\mathrm\pi$$t) is sampled with a sampling frequency of 400 Hz and
applied to the sy

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A discrete system is represented by the difference equation
$$$\begin{bmatrix}X_1\left(k+1\right)\\X_2\left(k+2\right)\e

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