GATE EE 2010

## GATE EE

Assuming that the diodes an ideal in the given circuit, the voltage $${V_0}$$ is

View Question The transistor circuit shown uses a silicon transistor with $${V_{BE}} = 0.7V,{{\rm I}_C} \approx {{\rm I}_E}$$ and a $$

View Question Given that the op-amp is ideal, the $$O/P$$ voltage $${V_0}$$ is

View Question As shown in the figure, a negative feedback system has an amplifier of gain $$100$$ with $$ \pm 10\% $$ tolerance in the

View Question For the system $${2 \over {\left( {s + 1} \right)}},$$ the approximate time taken for a step response to reach $$98$$% o

View Question The characteristic equation of a closed-loop system is $$s\left( {s + 1} \right)\left( {s + 3} \right) + \,\,k\left( {s

View Question The frequency response of $$G\left( s \right) = 1/\left[ {s\left( {s + 1} \right)\left( {s + 2} \right)} \right]$$ plott

View Question The system $$\mathop X\limits^ \bullet = AX + BU$$ with $$A = \left[ {\matrix{
{ - 1} & 2 \cr
0 & 2

View Question A minimized form of the function $$F$$ is

View Question Which of the following circuits is a realization of the previous function $$F$$ $$?$$

View Question The $$TTL$$ circuit shown in the figure is fed with the waveform $$X$$ (also shown). All gates have equal propagation de

View Question When a $$''CALL$$ $$addr'$$ instruction is executed, the $$CPU$$ carries out the following sequential operations interna

View Question If the electrical circuit of figure (b) is an equivalent of the coupled tank system of
figure (a), then

View Question As shown in the figure, a 1 Ω resistance is connected across a source that
has a load line v + i = 100. The current thro

View Question If the 12 Ω resistor draws a current of 1A as shown in the figure, the value of
resistance R is

View Question The switch in the circuit has been closed for a long time. It is opened at t = 0. At
t = 0+, the current through the 1μF

View Question The two-port network P shown in the figure has ports 1 and 2, denoted by
terminals (a, b) and (c, d), respectively. It h

View Question An ammeter has a current range of $$0$$-$$5A,$$ and its internal resistance is $$0.2\Omega $$. In order to change the ra

View Question The Maxwell's bridge shown in the fig. is at balance, the parameters of the inductive coil are

View Question A wattmeter is connected as shown in the fig. the wattmeter reads

View Question A separately excited DC motor runs at 1500 rpm under no-load with 200 V applied
to the armature. The field voltage is ma

View Question A separately excited DC motor runs at 1500 rpm under no-load with 200 V applied
to the armature. The field voltage is ma

View Question A single-phase transformer has a turns ratio of 1:2, and is connected to a purely
resistive load as shown in the figure.

View Question A balanced star-connected and purely resistive load is connected at the secondary
of a star-delta transformer as shown i

View Question A balanced three-phase voltage is applied to a star-connected induction motor, the
phase to neutral voltage being V. The

View Question A separately excited $$dc$$ machine is coupled to a $$50Hz,$$ three-phase, 4-pole induction machine as shown in the figu

View Question A $$50$$ $$Hz$$ synchronous generator is initially connected to a long lossless transmission line which is open circuite

View Question Divergence of the three-dimentional radial vector field $$\overrightarrow F$$ is

View Question For the set of equations
$$${x_1} + 2{x_2} + {x_3} + 4{x_4} = 2,$$$
$$$3{x_1} + 6{x_2} + 3{x_3} + 12{x_4} = 6.$$$
The f

View Question An eigen vector of $$p = \left[ {\matrix{
1 & 1 & 0 \cr
0 & 2 & 2 \cr
0 & 0 & 3 \c

View Question The value of the quantity, where $$P = \int\limits_0^1 {x{e^x}\,dx\,\,\,} $$ is

View Question At $$t=0,$$ the function $$f\left( t \right) = {{\sin t} \over t}\,\,$$ has

View Question Divergence of the $$3$$ $$-$$ dimensional radial vector field $$\overrightarrow r $$ is

View Question A box contains $$4$$ white balls and $$3$$ red balls. In succession, two balls are randomly selected and removed from th

View Question For the differential equation $${{{d^2}x} \over {d{t^2}}} + 6{{dx} \over {dt}} + 8x = 0$$ with initial conditions $$x(

View Question Given $$f\left( t \right) = {L^{ - 1}}\left[ {{{3s + 1} \over {{s^3} + 4{s^2} + \left( {k - 3} \right)}}} \right].$$
$$

View Question Figure shows a composite switch consisting of a power transistor $$(BJT)$$ in series with a diode. Assuming that the tra

View Question The fully controlled thyristor converter in the figure is fed from a single-phase source. When the firing angle is $${0^

View Question The power electronic converter shown in the figure has a single-pole double-throw switch. The pole $$P$$ of the switch i

View Question The L-C circuit shown in the figure has an inductance $$L=1mH$$ and a capacitance $$C = 10\mu F.$$
The initial current t

View Question The L-C circuit shown in the figure has an inductance $$L=1mH$$ and a capacitance $$C = 10\mu F.$$
The $$L$$-$$C$$ circu

View Question Consider two buses connected by an impedance of $$\left( {0 + j5} \right)\Omega .$$ The bus $$1$$ voltage is $$100$$$$\a

View Question Consider a step voltage wave of magnitude $$1$$ pu travelling along a loss less transmission line that terminates in a r

View Question Consider a three-core, three phase, $$50$$ $$Hz$$, $$11$$ $$kV$$ cable whose conductors are denoted as $$R, Y$$ and $$B$

View Question A $$50$$ $$Hz$$ synchronous generator is initially connected to a long lossless transmission line which is open circuite

View Question Consider a three-phase, $$50Hz,$$ $$11$$ $$kV$$ distribution system. Each of the conductors is suspended by an insulator

View Question The zero-sequence circuit of the three phase transformer shown in the figure is

View Question A three-phase, $$33$$ kV oil circuit breaker is rated $$1200$$ A, $$2000$$ MVA, $$3$$s. The symmetrical breaking current

View Question Consider a stator winding of an alternator with an internal high resistance ground fault. The currents under the fault c

View Question Power is transferred from system $$A$$ to system $$B$$ by an $$HVDC$$ link as shown in the figure. If the voltage $${V_{

View Question For the power system shown in the figure below, the specifications of the components are the following:
$$G1: 25$$ $$kV,

View Question For the system $$\frac2{\left(s+1\right)}$$,
the approximate time taken for a step response to reach 98%
of its final va

View Question Given the finite length input x[n] and the corresponding finite length output y[n]
of an LTI system as shown below, the

View Question The system represented by the input-output relationship $$y\left(t\right)=\int_{-\infty}^{5t}x\left(\tau\right)d\tau$$,

View Question The period of the signal $$x\left(t\right)=8\sin\left(0.8\mathrm{πt}+\frac{\mathrm\pi}4\right)$$ is

View Question The second harmonic component of the periodic waveform given in the figure has
an amplitude of

View Question x(t) is a positive rectangular pulse from t = -1 to t = +1 with unit height as shown
in the figure. The value of $$\int_

View Question Given f(t) and g(t)as shown below:
The Laplace transform of g(t) is

View Question Given f(t) and g(t)as shown below:
g(t) can be expressed as

View Question