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$$ part of the cyc
View Question The second order dynamic system $${{dX} \over {dt}} = PX + Qu,\,\,\,y = RX$$ has the matrices $$P,Q,$$ and $$R$$ as foll
View Question The closed-loop transfer function of a system is $$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 $$SOP$$ (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$$ contains
View Question The switch SW shown in the circuit is kept at position ‘1’ for a long duration. At t = 0+, the
switch is moved to positi
View Question The total power dissipated in the circuit, show in the figure, is 1kW.
The ideal voltmeter, across the load, reads 200
View Question The voltage across the capacitor, as sown in the figure, is expressed as
$$$V_c\left(t\right)=A_1\sin\left(\omega_1t-\th
View Question Two identical coupled inductors are connected in series. The measured inductances for the
two possible series connection
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 $$2
View Question A $$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.$$ The generator has a
View Question For a single phase, two winding transformer, the supply frequency and voltage are both
increased by 10%. The percentage
View Question A 250 V dc shunt machine has armature circuit resistance of 0.6 $$\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 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 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 All the values of the multi valued complex function $${1^i},$$ where $$i = \sqrt { - 1} $$ are
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.\,\,$$ Which of the fo
View Question The $$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 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 Shunt reactors are sometimes used in high voltage transmission systems to
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 $$1.
View Question Consider an LTI system with impulse response $$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