GATE EE 1995

## GATE EE

The common mode voltage of a unity gain (voltage follower) op-amp buffer in terms of its output voltage $${V_0}$$ is ___

View Question The impulse response of an initially relaxed linear system is $${e^{ - 2t}}u\left( t \right).$$ To produce a response of

View Question The Laplace transformation of $$f(t)$$ is $$F(s).$$ Given $$F\left( s \right) = {\omega \over {{s^2} + {\omega ^2}}},$$

View Question The steady state error due to a step input for type $$1$$ system is ______________.

View Question 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 $$XRA$$ $$A$$ 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 $$12$$ $$A$$ and $${A_3}$$ reads $$9$$ $$A.$$ $${A_1}$$ 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 $$1$$ $$A$$ is

View Question Two $$100V$$ full scale $$PMMC$$ type D.C voltmeter having figure of merits ($$FOM)$$ of $$10k\Omega /V$$ and $$20k\Omeg

View Question A Kelvin double bridge is best suited for the measurement of

View Question 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

View Question A $$3{1 \over 2}\,$$ digit, $$2$$ $$V$$ full scale slope $$ADC$$ has its integration time set to $$300$$ $$ms.$$ If the

View Question A differentially compounded d.c. motor with interpoles and with brushes on the
neutral axis is to be driven as a generat

View Question The percentage impedance of a 100 kVA, 11 kV/400V, delta/wye, 50 Hz
transformer is 4.5%. For the circulation of half the

View Question Supply to one terminal of a $$\triangle$$ - Y connected three-phase core type
transformer which is on no-load, fails. As

View Question An induction motor is fed from a balanced three phase supply at rated voltage
and frequency through a bank of three sing

View Question A synchronous motor on load draws a current at a leading power factor angle $$\phi$$.
If the internal power factor angle

View Question The distribution factor for a $$36$$ slot stator with three-phase, $$8$$-pole winding, having $${120^ \circ }$$ phase Sp

View Question A monochromatic plane electromagnetic wave travels in vacuum in the position $$x$$ direction ($$x, y, z$$ system of coor

View Question The inverse of the matrix $$S = \left[ {\matrix{
1 & { - 1} & 0 \cr
1 & 1 & 1 \cr
0 & 0

View Question Given the matrix $$A = \left[ {\matrix{
0 & 1 & 0 \cr
0 & 0 & 1 \cr
{ - 6} & { - 11} &a

View Question 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{$\scriptstyle 1$}
\kern-0.1em/\kern-0.15em
\lower0.25ex

View Question If $$f(0)=2$$ and $$f'\left( x \right) = {1 \over {5 - {x^2}}},$$ then the lower and upper bounds of $$f(1)$$ estimated

View Question If at every point of a certain curve , the slope of the tangent equals $${{ - 2x} \over y},$$ the curve is _______.

View Question The Laplace transform of $$f(t)$$ is $$F(s).$$ Given $$F\left( s \right) = {\omega \over {{s^2} + {\omega ^2}}},$$ the

View Question Figure, show two thyristors each rated $$500A$$ (continuous) sharing a load current. Current through thyristor $$y$$ is

View Question A three phase $$ac$$-to-$$dc$$ diode bridge rectifier is supplied from a three-phase, $$440V$$ source. The rectifier sup

View Question A single phase diode bridge rectifier supplies a highly inductive load. The load current can be assumed to be ripple fre

View Question Consider the chopper circuit of figure. The chopper operates at $$400$$ $$Hz$$ and $$50$$% duty cycle. The load current

View Question A $$dc$$ to $$dc$$ transistor chopper supplied from a fixed voltage $$dc$$ source feeds a fixed resistive-inductive load

View Question A single phase Inverter with square wave output voltage will have in its output waveform a fifth harmonic component equa

View Question An inverter capable of supplying a balanced three - phase variable voltage variable frequency output is feeding a three

View Question Match the following
$$(P)$$ single phase fully controlled $$ac-dc$$ converter
$$(Q)$$ Voltage commutated $$dc-ac$$

View Question The insulation level of a $$400$$ kV, EHV overhead transmission line is decided on the basis of

View Question The insulation resistance of a cable of length $$10$$ km is $$1$$ $$M\Omega $$. For a length of $$100$$ km of the same c

View Question The surge impedance of a $$400$$ km long overhead transmission line is $$400$$ $$\Omega $$. For a $$200$$ km length of t

View Question The rated load of an underground cable is always _______its natural load.

View Question In order to have a lower cost of electrical energy generation,

View Question The positive sequence component of the voltage at the point of fault in a power system is zero for a _________fault.

View Question 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

View Question 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

View Question The $$rms$$ value of the periodic waveform $$e(t),$$ shown in figure is

View Question