GATE 1995 Electrical Engineering
45 questions across 1 session
The common mode voltage of a unity gain (voltage follower) op-amp buffer in terms of its output voltage $${V_0}$$ is __________.
Fringing in capacitive type transducer can be minimized by providing a _________
If at every point of a certain curve , the slope of the tangent equals $${{ - 2x} \over y},$$ the curve is _______.
If $$f(0)=2$$ and $$f'\left( x \right) = {1 \over {5 - {x^2}}},$$ then the lower and upper bounds of $$f(1)$$ estimated by the mean value theorem are ______.
The inverse of the matrix $$S = \left[ {\matrix{ 1 & { - 1} & 0 \cr 1 & 1 & 1 \cr 0 & 0 & 1 \cr } } \right]$$ is
A differentially compounded d.c. motor with interpoles and with brushes on the neutral axis is to be driven as a generator in the same direction with the same polarity of the termi...
The percentage impedance of a 100 kVA, 11 kV/400V, delta/wye, 50 Hz transformer is 4.5%. For the circulation of half the full load current during short circuit test, with low volta...
Supply to one terminal of a $$\triangle$$ - Y connected three-phase core type transformer which is on no-load, fails. Assuming magnetic circuit symmetry, voltages on the secondary...
An induction motor is fed from a balanced three phase supply at rated voltage and frequency through a bank of three single phase transformers connected in delta-delta. One unit of...
A synchronous motor on load draws a current at a leading power factor angle $$\phi$$. If the internal power factor angle – which is the phase angle between the excitation e.m.f. an...
In order to have a lower cost of electrical energy generation,
The impulse response of an initially relaxed linear system is $${e^{ - 2t}}u\left( t \right).$$ To produce a response of $${te^{ - 2t}}u\left( t \right),$$ the input must be equal...
The distance relay with inherent directional property is known as ________relay.
Closed loop stability implies that $$\left[ {1 + G\left( s \right)H\left( s \right)} \right]$$ has only ____________ in the left half of the $$s$$-plane.
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 $$Q$$ output. If the flip-flop is fed with a clock of freque...
A monochromatic plane electromagnetic wave travels in vacuum in the position $$x$$ direction ($$x, y, z$$ system of coordinates). The electric and magnetic fields can be expressed...
A $$dc$$ to $$dc$$ transistor chopper supplied from a fixed voltage $$dc$$ source feeds a fixed resistive-inductive load and a free-wheeling diode. The chopper operates at $$1$$ $$...
The positive sequence component of the voltage at the point of fault in a power system is zero for a _________fault.
A system is described by the state equation $$\mathop X\limits^ \bullet = AX + BU$$ , The output is given by $$Y=CX$$ Where $$A = \left( {\matrix{ { - 4} & { - 1} \cr 3 & { - 1} \c...
An inverter capable of supplying a balanced three - phase variable voltage variable frequency output is feeding a three - phase induction motor rated for $$50$$ $$Hz$$ and $$440V.$...
The rank of the following $$(n+1)$$ $$x$$ $$(n+1)$$ matrix, where $$'a'$$ is a real number is $$$\left[ {\matrix{ 1 & a & {{a^2}} & . & . & . & {{a^n}} \cr 1 & a & {{a^2}} & . & ....
A three phase $$ac$$-to-$$dc$$ diode bridge rectifier is supplied from a three-phase, $$440V$$ source. The rectifier supplies a purely resistive load. The average $$dc$$ voltage ac...
The rated load of an underground cable is always _______its natural load.
The Laplace transformation of $$f(t)$$ is $$F(s).$$ Given $$F\left( s \right) = {\omega \over {{s^2} + {\omega ^2}}},$$ the final value of $$f(t)$$ is
The insulation level of a $$400$$ kV, EHV overhead transmission line is decided on the basis of
The surge impedance of a $$400$$ km long overhead transmission line is $$400$$ $$\Omega $$. For a $$200$$ km length of the same line, the surge impedance will be
The Laplace transform of $$f(t)$$ is $$F(s).$$ Given $$F\left( s \right) = {\omega \over {{s^2} + {\omega ^2}}},$$ the final value of $$f(t)$$ is __________.
The insulation resistance of a cable of length $$10$$ km is $$1$$ $$M\Omega $$. For a length of $$100$$ km of the same cable, the insulation resistance will be
The inductance and capacitance of a power system network upto a circuit breaker location are $$1H$$ and $$0.01$$ $$\mu F$$ respectively, the value of the shunt resistor across the...
In an $$8085$$ microprocessor, after the execution of $$XRA$$ $$A$$ instruction
In load-flow analysis, a voltage-controlled bus is treated as a load bus in subsequent iteration for a _________limit is violated.
A series $$R-L-C$$ circuit has the following parameter values: $$R = 10\Omega ,\,\,L = 0.01\,H,\,\,C = 100\,\,m\,\,F.$$ The $$Q$$ factor of the circuit at resonance is
A single phase Inverter with square wave output voltage will have in its output waveform a fifth harmonic component equal to ______ percentage of the fundamental
Type of Relay $$A.$$ Buchholz Relay $$B.$$ Translay relay $$C.$$ Carrier current, phase comparison relay $$D.$$ Directional over Current relay $$E.$$ Negative sequence relay Most s...
$$\mathop {Lim}\limits_{x \to \infty } \,x\sin {\raise0.5ex\hbox{$\scriptstyle 1$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle x$}} = \_\_\_\_\_.$$
The closed loop transfer function of a control system is given by $${{C\left( s \right)} \over {R\left( s \right)}}\, = \,\,{{2\left( {s - 1} \right)} \over {\left( {s + 2} \right)...
The steady state error due to a step input for type $$1$$ system is ______________.
Given the matrix $$A = \left[ {\matrix{ 0 & 1 & 0 \cr 0 & 0 & 1 \cr { - 6} & { - 11} & { - 6} \cr } } \right].\,\,$$ Its eigen values are
The distribution factor for a $$36$$ slot stator with three-phase, $$8$$-pole winding, having $${120^ \circ }$$ phase Spread, is _________
The convolution of the function $$f_1\left(t\right)=e^{-2t}\;u\left(t\right)$$ and $$f_2\left(t\right)=e^t\;u\left(t\right)$$ is equal to __________.
The Laplace transformation of f(t) is F(s). Given F(s)=$$\frac\omega{s^2+\omega^2}$$, the final value of f(t) is
A certain oscilloscope with 4 c.m by 4 c.m screen has its own sweep output fed to its input. If the x and y sensitivities are same, the oscilloscope will display a.
A Kelvin double bridge is best suited for the measurement of
Two $$100V$$ full scale $$PMMC$$ type D.C voltmeter having figure of merits ($$FOM)$$ of $$10k\Omega /V$$ and $$20k\Omega /V$$ are connected in series. The series combination can b...
A $$3{1 \over 2}\,$$ digit, $$2$$ $$V$$ full scale slope $$ADC$$ has its integration time set to $$300$$ $$ms.$$ If the input to the $$ADC$$ is ($$1$$+$$1sin$$ $$314$$ $$t$$) V, th...