GATE EE 2007
GATE EE
$$IC$$ $$555$$ in the adjacent figure is configured as an Astable multivibrator. It is enabled to oscillator at $$t=0$$
View Question The switch $$'S'$$ is the circuit of the figure is initially closed. It is opened at time $$t=0.$$ You may neglect the z
View Question The input signal $${V_{in}}$$ shown in the figure is a $$1$$ $$kHz$$ square wave voltage that alternates between $$+7V$$
View Question The circuit shown in figure is
View Question The three terminal linear voltage regular is connected to a $$10\Omega $$ load resistor as shown in the figure. If $${V_
View Question The common emitter forward current gain of the transistor shown is $${\beta _p} = 100.$$ The transistor is operating in
View Question $$R-L-C$$ circuit shown in figure
If the above step response is to be observed on a non - storage $$CRO,$$ then it w
View Question The system $$900/s(s+1)(s+9)$$ is to be such that its gain crossover frequency becomes same as its uncompensated phase c
View Question If $$X = {\mathop{\rm Re}\nolimits} G\left( {j\omega } \right),\,\,$$ and $$y = {\rm I}mG\left( {j\omega } \right)$$ the
View Question Consider the feedback system shown below which is subjected to a unit step input. The system is stable and has following
View Question $$R-L-C$$ circuit shown in figure
For a step input $${e_{i,}}$$ the overshoot in the output $${e_{0,}}$$ will be
View Question The system shown in the figure is
View Question If the loop gain $$K$$ of a negative feedback system having a loop transfer function $$K\left( {s + 3} \right)/{\left( {
View Question The system shown in figure below
can be reduced to the form
With
View Question The associated figure shows the two types of rotate right instruction $${R_1},\,{R_2}$$ available in a microprocessor wh
View Question The associated figure shows the two types of rotate right instruction $${R_1},\,{R_2}$$ available in a microprocessor wh
View Question Which one of the following statements regarding the $$INT$$ (interrupt) and the $$BRQ$$ (bus request) pins in a $$CPU$$
View Question In an $$8085$$ $$A$$ microprocessor based system, it is desired to increment the contents of memory location whose addre
View Question $$A,B,C$$ and $$D$$ are input bits, and $$Y$$ is the output bit in the $$XOR$$ gate circuit of the figure below. Which o
View Question A $$3$$ $$V$$ $$dc$$ supply with an internal resistance of $$2$$ $$\Omega $$ supplies a passive non-linear resistance
View Question The matrix $$A$$ given below is the node incidence matrix of a network. The columns correspond to braches of the network
View Question A three phase balanced star connected voltage source with frequency $$\omega \,\,rad/s$$ is connected to a star connecte
View Question The resonant frequency for the given circuit will be
View Question In the figure given below, all phasors are with reference to the potential at point $$''O''.$$ The locus of voltage phas
View Question The $$R-L-C$$ series circuit shown is supplied from a variable frequency voltage source. The admittance $$-$$ locus of
View Question In the circuit shown in Fig. switch $$S{w_1}$$ is initially CLOSED and $$S{w_2}$$ is OPEN. The inductor $$L$$ carries a
View Question In the figure, transformer $${T_1}$$ has two secondaries, all three windings having the same number of turns and with po
View Question A $$3$$ $$V$$ $$dc$$ supply with an internal resistance of $$2\,\,\Omega $$ supplies a passive non-linear resistance cha
View Question The probes of a non $$-$$ isolated, two-channel oscilloscope are clipped to points $$A, B, $$ and $$C$$ in the circuit o
View Question A three phase squirrel cage induction motor has a starting current of seven times the full load current and full load sl
View Question A $$100$$ $$kVA$$, $$415V,$$ star connected synchronous machine generates rated open circuit voltage $$415V$$ at a fiel
View Question A $$3$$ phase, $$3$$ stack, variable reluctance stepper motor has $$20$$ poles on each rotor and stator stack. The step
View Question A three phase synchronous motor connected to ac mains is running at full load and unity power factor. If its shaft load
View Question A three phase squirrel cage induction motor has a starting current of seven times the full load current and full load sl
View Question A three phase squirrel cage induction motor has a starting current of seven times the full load current and full load sl
View Question A three-phase squirrel cage induction motor has a starting torque of $$150\% $$ and a maximum torque of $$300\% $$ with
View Question A single-phase $$50$$ $$kVA,$$ $$250$$ $$V/500V$$ two winding transformer has an efficiency of $$95\% $$ at full load, u
View Question In a transformer, zero voltage regulation at full load is
View Question The dc motor, which can provide zero speed regulation at full load without any controller is
View Question An inductor designed with $$400$$ turns coil wound on an iron core of $$16\,\,c{m^2}$$ cross sectional area and with a c
View Question An inductor designed with $$400$$ turns coil wound on an iron core of $$16\,\,c{m^2}$$ cross sectional area and with a c
View Question A solid sphere made of insulating material has a radius $$R$$ and has a total charge $$Q$$ distributed uniformly in its
View Question Divergence of the vector field
$$$\overrightarrow V\left(x,y,z\right)=-\left(x\cos xy\;+\;y\right)\;\widehat i\;+\;\left
View Question Divergence of the vector field $$v\left( {x,y,z} \right) = - \left( {x\,\cos xy + y} \right)\widehat i + \left( {y\,\co
View Question Consider the function $$f\left( x \right) = {\left( {{x^2} - 4} \right)^2}$$ where $$x$$ is a real number. Then the func
View Question The integral $$\,\,{1 \over {2\pi }}\int\limits_0^{2\Pi } {Sin\left( {t - \tau } \right)\cos \tau \,d\tau \,\,\,} $$ equ
View Question Let $$x$$ and $$y$$ be two vectors in a $$3-$$ dimensional space and $$ < x,y > $$ denote their dot product. Then
View Question If $$A = \left[ {\matrix{
{ - 3} & 2 \cr
{ - 1} & 0 \cr
} } \right]$$ then $$A$$ satisfies the rela
View Question If $$A = \left[ {\matrix{
{ - 3} & 2 \cr
{ - 1} & 0 \cr
} } \right]\,$$ then $${A^9}$$ equals
View Question $$X = {\left[ {\matrix{
{{x_1}} & {{x_2}} & {.......\,{x_n}} \cr
} } \right]^T}$$ is an $$n$$-tuple non-
View Question $${q_1},\,{q_2},{q_3},.......{q_m}$$ are $$n$$-dimensional vectors with $$m < n.$$ This set of vectors is linearly de
View Question In the circuit of adjacent figure the diode connects the $$ac$$ source to pure inductance $$L.$$
The diode conducts f
View Question A single - phase inverter is operated in $$PWM$$ mode generating a single - pulse of width $$2d$$ in the center of each
View Question A single - phase voltage source inverter is controlled in a single pulse - width modulated mode with a pulse width of $$
View Question ''Six $$MOSFETS$$ connected in a bridge configuration (having no other power device) MUST be operated as Voltage Source
View Question A three - phase fully - controlled thyristor bridge converter is used as line commuted inverter to feed $$50kW$$ power
View Question The circuit in the figure is current commutated $$dc$$ $$-$$ $$dc$$ chopper where, $$T{h_M}$$ is the main $$SCR$$ and $$
View Question A $$1:1$$ pulse transformer $$(PT)$$ is used to trigger the $$SCR$$ in the adjacent figure. The $$SCR$$ is rated at $$1.
View Question A $$1:1$$ pulse transformer $$(PT)$$ is used to trigger the $$SCR$$ in the adjacent figure. The $$SCR$$ is rated at $$1.
View Question A single $$-$$ phase, $$230$$ $$V$$, $$50$$ $$Hz$$ $$ac$$ mains fed step down transformer $$(4:1)$$ is supplying power t
View Question A single phase full $$-$$ wave half $$-$$ controlled bridge converter feeds an inductive load. The two $$SCR's$$ in the
View Question A single $$-$$ phase fully controlled thyristor bridge $$ac$$ $$-$$ $$dc$$ converter is operating at a firing angle of $
View Question $$230$$ $$V$$ (phase) $$50$$ Hz, three-phase, $$4$$-wire, system has a sequence $$ABC$$. A unity power-factor load of $$
View Question Two regional system, each having several synchronous generators and loads are interconnected by an ac line and a HVDC li
View Question Consider the protection system shown in the figure below. The circuit breakers numbered from $$1$$ to $$7$$ are of ident
View Question Suppose we define a sequence transformation between ''a-b-c'' and ''p-n-0''' variables as follows:
$$\left[ {\matrix{
View Question Consider a synchronous generator connected to an infinite bus by two identical parallel transmission lines. The transi
View Question The incremental cost curves in Rs/MWhr for two generators supplying a common load of $$700$$ MW are shown in the figures
View Question Consider a bundled conductor of an overhead line consisting of three identical sub-conductors placed at the corners of a
View Question Consider the transformer connections in a part of a power system shown in the figure. The nature of transformer connecti
View Question Single line diagram of a $$4$$-bus single source distribution system is shown below. Branches $${e_1},\,\,$$ $${e_2},\,\
View Question The total reactance and total susceptance of a lossless overhead $$EHV$$ line, operating at $$50$$ $$Hz,$$ are given by
View Question Let a signal $${a_1}\,\sin \left( {{\omega _1}t + {\phi _1}} \right)$$ be applied to a stable linear time-invariant sys
View Question The frequency spectrum of a signal is shown in the figure. If this is ideally sampled at intervals of $$1$$ $$ms,$$ then
View Question A signal $$x(t)$$ is given by
$$x\left( t \right) = \left\{ {\matrix{
{1, - {\raise0.5ex\hbox{$\scriptstyle T$}
\ker
View Question A signal is processed by a causal filter with transfer function $$G(s).$$ For a distortion free output signal waveform,
View Question Consider the discrete-time system shown in the figure where the impulse response of $$G\left( z \right)$$ is
$$g\left(
View Question A signal is processed by a causal filter with transfer function $$G(s).$$ For a distortion free output signal waveform,
View Question $$X\left( z \right) = 1 - 3\,\,{z^{ - 1}},\,\,Y\left( z \right) = 1 + 2\,\,{z^{ - 2}}$$ are $$Z$$-transforms of two sign
View Question If u(t), r(t) denote the unit step and unit ramp functions respectively and u(t)*r(t) their convolution, then the functi
View Question