GATE EE 1995
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## GATE EE

The common mode voltage of a unity gain (voltage follower) op-amp buffer in terms of its output voltage $${V_0}$$ is ___
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The impulse response of an initially relaxed linear system is $${e^{ - 2t}}u\left( t \right).$$ To produce a response of
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The Laplace transformation of $$f(t)$$ is $$F(s).$$ Given $$F\left( s \right) = {\omega \over {{s^2} + {\omega ^2}}},$$
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The steady state error due to a step input for type $$1$$ system is ______________.
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The closed loop transfer function of a control system is given by $${{C\left( s \right)} \over {R\left( s \right)}}\, = View Question Closed loop stability implies that$$\left[ {1 + G\left( s \right)H\left( s \right)} \right]$$has only ____________ in View Question A system is described by the state equation$$\mathop X\limits^ \bullet = AX + BU$$, The output is given by$$Y=CX$$View Question For a$$J$$-$$K$$flip-flop its$$J$$input is tied to its own$$Q$$output and its$$K$$input is connected to its own View Question In an$$8085$$microprocessor, after the execution of$$XRAA$$instruction View Question A series$$R-L-C$$circuit has the following parameter values:$$R = 10\Omega ,\,\,L = 0.01\,H,\,\,C = 100\,\,m\,\,F.$$View Question In the circuit of Figure, Ammeter$${A_2}$$reads$$12A$$and$${A_3}$$reads$$9A.{A_1}$$will read ____ View Question Fringing in capacitive type transducer can be minimized by providing a _________ View Question Four ammeters$$M1, M2, M3$$and$$M4$$with the following specifications are available. A current of$$1A$$is View Question Two$$100V$$full scale$$PMMC$$type D.C voltmeter having figure of merits ($$FOM)$$of$$10k\Omega /V$$and$$20k\Omeg
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A Kelvin double bridge is best suited for the measurement of
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A certain oscilloscope with 4 c.m by 4 c.m screen has its own sweep output fed to its input. If the x and y sensitivitie
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A $$3{1 \over 2}\,$$ digit, $$2$$ $$V$$ full scale slope $$ADC$$ has its integration time set to $$300$$ $$ms.$$ If the
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A differentially compounded d.c. motor with interpoles and with brushes on the neutral axis is to be driven as a generat
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The percentage impedance of a 100 kVA, 11 kV/400V, delta/wye, 50 Hz transformer is 4.5%. For the circulation of half the
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Supply to one terminal of a $$\triangle$$ - Y connected three-phase core type transformer which is on no-load, fails. As
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An induction motor is fed from a balanced three phase supply at rated voltage and frequency through a bank of three sing
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A synchronous motor on load draws a current at a leading power factor angle $$\phi$$. If the internal power factor angle
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The distribution factor for a $$36$$ slot stator with three-phase, $$8$$-pole winding, having $${120^ \circ }$$ phase Sp
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A monochromatic plane electromagnetic wave travels in vacuum in the position $$x$$ direction ($$x, y, z$$ system of coor
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The inverse of the matrix $$S = \left[ {\matrix{ 1 &amp; { - 1} &amp; 0 \cr 1 &amp; 1 &amp; 1 \cr 0 &amp; 0 View Question Given the matrix$$A = \left[ {\matrix{ 0 &amp; 1 &amp; 0 \cr 0 &amp; 0 &amp; 1 \cr { - 6} &amp; { - 11} &a
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The rank of the following $$(n+1)$$ $$x$$ $$(n+1)$$ matrix, where $$'a'$$ is a real number is $$\left[ {\matrix{ 1 View Question$$\mathop {Lim}\limits_{x \to \infty } \,x\sin {\raise0.5ex\hbox{$1$} \kern-0.1em/\kern-0.15em \lower0.25ex
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If $$f(0)=2$$ and $$f'\left( x \right) = {1 \over {5 - {x^2}}},$$ then the lower and upper bounds of $$f(1)$$ estimated
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If at every point of a certain curve , the slope of the tangent equals $${{ - 2x} \over y},$$ the curve is _______.
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The Laplace transform of $$f(t)$$ is $$F(s).$$ Given $$F\left( s \right) = {\omega \over {{s^2} + {\omega ^2}}},$$ the
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Figure, show two thyristors each rated $$500A$$ (continuous) sharing a load current. Current through thyristor $$y$$ is
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A three phase $$ac$$-to-$$dc$$ diode bridge rectifier is supplied from a three-phase, $$440V$$ source. The rectifier sup
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A single phase diode bridge rectifier supplies a highly inductive load. The load current can be assumed to be ripple fre
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Consider the chopper circuit of figure. The chopper operates at $$400$$ $$Hz$$ and $$50$$% duty cycle. The load current
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A $$dc$$ to $$dc$$ transistor chopper supplied from a fixed voltage $$dc$$ source feeds a fixed resistive-inductive load
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A single phase Inverter with square wave output voltage will have in its output waveform a fifth harmonic component equa
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An inverter capable of supplying a balanced three - phase variable voltage variable frequency output is feeding a three
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Match the following $$(P)$$ single phase fully controlled $$ac-dc$$ converter $$(Q)$$ Voltage commutated $$dc-ac$$
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The insulation level of a $$400$$ kV, EHV overhead transmission line is decided on the basis of
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The insulation resistance of a cable of length $$10$$ km is $$1$$ $$M\Omega$$. For a length of $$100$$ km of the same c
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The surge impedance of a $$400$$ km long overhead transmission line is $$400$$ $$\Omega$$. For a $$200$$ km length of t
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The rated load of an underground cable is always _______its natural load.
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In order to have a lower cost of electrical energy generation,
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The positive sequence component of the voltage at the point of fault in a power system is zero for a _________fault.
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The inductance and capacitance of a power system network upto a circuit breaker location are $$1H$$ and $$0.01$$ $$\mu F View Question The distance relay with inherent directional property is known as ________relay. View Question Type of Relay$$A.$$Buchholz Relay$$B.$$Translay relay$$C.$$Carrier current, phase comparison relay$$D.$$Directio View Question In load-flow analysis, a voltage-controlled bus is treated as a load bus in subsequent iteration for a _________limit is View Question The convolution of the function$$f_1\left(t\right)=e^{-2t}\;u\left(t\right)$$and$$f_2\left(t\right)=e^t\;u\left(t\rig
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The Laplace transformation of f(t) is F(s). Given F(s)=$$\frac\omega{s^2+\omega^2}$$, the final value of f(t) is
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The $$rms$$ value of the periodic waveform $$e(t),$$ shown in figure is
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