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 $${V_ View Question The circuit shown in figure is View Question The switch$$'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}}$$shown in the figure is a$$1kHz$$square wave voltage that alternates between$$+7V$$View Question$$IC555$$in the adjacent figure is configured as an Astable multivibrator. It is enabled to oscillator at$$t=0$$View Question The system shown in figure below can be reduced to the form With View Question If the loop gain$$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 If the above step response is to be observed on a non - storage $$CRO,$$ then it w
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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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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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Which one of the following statements regarding the $$INT$$ (interrupt) and the $$BRQ$$ (bus request) pins in a $$CPU$$
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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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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 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 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 synchronous motor connected to ac mains is running at full load and unity power factor. If its shaft load
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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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A $$3$$ phase, $$3$$ stack, variable reluctance stepper motor has $$20$$ poles on each rotor and stator stack. The step
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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 $$\overrightarrow V\left(x,y,z\right)=-\left(x\cos xy\;+\;y\right)\;\widehat i\;+\;\left View Question A solid sphere made of insulating material has a radius$$R$$and has a total charge$$Q$$distributed uniformly in its View Question An inductor designed with$$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}$$cross sectional area and with a c View Question$${q_1},\,{q_2},{q_3},.......{q_m}$$are$$n$$-dimensional vectors with$$m &lt; n.$$This set of vectors is linearly de View Question$$X = {\left[ {\matrix{ {{x_1}} &amp; {{x_2}} &amp; {.......\,{x_n}} \cr } } \right]^T}$$is an$$n$$-tuple non- View Question If$$A = \left[ {\matrix{ { - 3} &amp; 2 \cr { - 1} &amp; 0 \cr } } \right]\,$$then$${A^9}$$equals View Question If$$A = \left[ {\matrix{ { - 3} &amp; 2 \cr { - 1} &amp; 0 \cr } } \right]$$then$$A$$satisfies the rela View Question Let$$x$$and$$y$$be two vectors in a$$3-$$dimensional space and$$ &lt; x,y &gt; $$denote their dot product. Then View Question Consider the function$$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 \,\,\,} $$equ View Question Divergence of the vector field$$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 $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, $$230$$ $$V$$, $$50$$ $$Hz$$ $$ac$$ mains fed step down transformer $$(4:1)$$ is supplying power t 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 The circuit in the figure is current commutated $$dc$$ $$-$$ $$dc$$ chopper where, $$T{h_M}$$ is the main $$SCR$$ and $$View Question A three - phase fully - controlled thyristor bridge converter is used as line commuted inverter to feed$$50kW$$power View Question ''Six$$MOSFETS$$connected in a bridge configuration (having no other power device) MUST be operated as Voltage Source View Question A single - phase inverter is operated in$$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 In the circuit of adjacent figure the diode connects the $$ac$$ source to pure inductance $$L.$$ The diode conducts f View Question The total reactance and total susceptance of a lossless overhead $$EHV$$ line, operating at $$50$$ $$Hz,$$ are given by View Question $$230$$ $$V$$ (phase) $$50$$ Hz, three-phase, $$4$$-wire, system has a sequence $$ABC$$. A unity power-factor load of $$View Question Single line diagram of a$$4$$-bus single source distribution system is shown below. Branches$${e_1},\,\,{e_2},\,\ View Question Consider the transformer connections in a part of a power system shown in the figure. The nature of transformer connecti 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 a synchronous generator connected to an infinite bus by two identical parallel transmission lines. The transi View Question Suppose we define a sequence transformation between ''a-b-c'' and ''p-n-0''' variables as follows: $$\left[ {\matrix{ View Question Consider the protection system shown in the figure below. The circuit breakers numbered from$$1$$to$$7$$are of ident View Question Two regional system, each having several synchronous generators and loads are interconnected by an ac line and a HVDC li View Question If u(t), r(t) denote the unit step and unit ramp functions respectively and u(t)*r(t) their convolution, then the functi View Question Let a signal$${a_1}\,\sin \left( {{\omega _1}t + {\phi _1}} \right)$$be applied to a stable linear time-invariant sys View Question$$X\left( z \right) = 1 - 3\,\,{z^{ - 1}},\,\,Y\left( z \right) = 1 + 2\,\,{z^{ - 2}}$$are$$Z$$-transforms of two sign View Question A signal is processed by a causal filter with transfer function$$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 A signal $$x(t)$$ is given by $$x\left( t \right) = \left\{ {\matrix{ {1, - {\raise0.5ex\hbox{T} \ker View Question The frequency spectrum of a signal is shown in the figure. If this is ideally sampled at intervals of$$1ms,$\$ then
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