GATE EE 2007
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GATE EE

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