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

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

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

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

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

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

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

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

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

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

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

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

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

View Question 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

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

View Question 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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

View Question Shunt reactors are sometimes used in high voltage transmission systems to

View Question 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

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

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

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

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

View Question 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

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

View Question