GATE EE 2001
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GATE EE

An $$N$$-channel $$JFET$$ having a pinch-off voltage $$\left( {{V_P}} \right)$$ of $$-5V$$ shows a transconductance (gm)
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An op-amp, having a slew rate of $$62.8$$ $$V/\mu \,$$sec, is connected in a voltage follower configuration. If the maxi
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For the oscillator circuit shown in figure, the expression for the time period of oscillations can be given by (where $$
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For the op-amp circuit shown in figure. Determine the output voltage $${v_0}.$$ Assume that the op-amps are ideal
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A simple active filter is shown in figure. Assume ideal op-amp. Derive the transfer function $${v_0}/{v_i}$$ of the circ
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An op-amp has an open-loop gain of $${10^5}$$ and an open-loop upper cutoff frequency of $$10$$ $$Hz.$$ If this op-amp i
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In the single stage transistor amplifier circuit shown in figure, the capacitor $${C_E}$$ is removed. Then the ac small
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A sample-and-hold $$(S/H)$$ circuit, having a holding capacitor of $$0.1$$ $$nF,$$ is used at the input of an $$ADC$$ (a
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The transistor in the amplifier circuit shown in the figure is biased at $${{\rm I}_C} = mA.$$ Use $${V_T}\left( { = {{k
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Given the characteristic equation $${s^3} + 2{s^2} + Ks + K = 0.$$ Sketch the root focus as $$K$$ varies from zero to in
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The polar plot of a type-$$1, 3$$-pole, open-loop system is shown in Fig. below. The closed loop system is
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The asymptotic approximation of the log-magnitude versus frequency plot of a minimum phase system with real poles and on
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A unity feedback system has an open-loop transfer function of $$G\left( s \right) = {{10000} \over {s{{\left( {s + 10} \
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Given the homogeneous state-space equation $$\mathop X\limits^ \bullet = \left[ {\matrix{ { - 3} & 1 \cr
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The output of a logic gate is $$''1''$$ when all its inputs are at logic $$''0''.$$ The gate is either
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The output $$f$$ of the $$4$$- to- $$1$$ $$MUX$$ shown in fig. is
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For the ring counter shown in Fig. find the steady state sequence if the initial state of the counters is $$1110\,\,(i.e
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Among the following four, the slowest $$ADC$$ (analog-to-digital converter) is
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An Intel $$8085$$ processor is executing the program given below. $$\eqalign{ & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,
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A passive 2-port network is in a steady state.Compare to its input, the steady state output can never offer
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Given two coupled inductors $${L_1}$$ and $${L_2}$$, their mutual inductance $$M$$ satisfies
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Two incandescent light bulbs of $$40$$ $$W$$ and $$60$$ $$W$$ rating are connected in series across the mains. Then
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Consider the star network shown in Fig. The resistance between terminals $$A$$ and $$B$$ with $$C$$ open is $$6\,\Omega
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A unit step voltage is applied at $$t = 0$$ to a series $$RL$$ circuit with zero initial conditions.
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In a series $$RLC$$ circuit at resonance, the magnitude of the voltage developed across the capacitor
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Determine the resonance frequency and the $$Q$$ $$-$$ factor of the circuit shown in Fig. Data: $$\,\,\,\,\,R = 10\,\
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Resistances $${R_1}$$ and $${R_2}$$ have, respectively, nominal values of $$10\Omega $$ and $$5\Omega ,$$ and tolerances
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A $$100$$ $$\mu A$$ ammeter has an internal resistance of $$100\,\Omega $$. For extending its range to measure $$500$$ $
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The minimum number of wattmeter(s) required to measure 3 $$-$$ phase, 3 $$-$$ wire balanced or unbalanced power is
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In case of an armature controlled separately excited dc motor drive with closed loop speed control, an inner current loo
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An electric motor with 'constant output power' will have a torque speed characteristic in the form of a
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A single-phase transformer is to be switched to the supply to have minimum inrush current. The switch should be closed a
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The core flux of a practical transformer with a resistive load
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A 3-phase transformer has rating of 20 MVA, 220 kV (star) / 33 kV (delta) with leakage reactance of 12%. The transformer
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The hysteresis loop of a magnetic material has an area of 5 cm2 with the scales given as 1 cm = 2 AT and 1 cm = 50 mWb.
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It is desirable to eliminate 5th harmonic voltage from the phase voltage of an alternator. The coils should be short-pit
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Figure shows the magnetization curves of an alternator at rated armature current, unity power factor and also at no load
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Xd, Xd' and Xd" are steady stated-axis synchronous reactance, transient d-axis reactance and sub-transient d-axis reacta
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A star-connected 440 V, 50 Hz alternators has per phase synchronous reactance of 10 Ω. It supplies a balanced capacitive
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A $$50$$ $$kW$$ synchronous motor is tested by driving it by another motor. When the excitation is not switched on, the
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Two identical synchronous generators, each of $$100$$ $$MVA,$$ are working in parallel supplying $$100$$ $$MVA$$ at $$0.
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In a $$dc$$ motor running at $$2000$$ $$rpm,$$ the hysteresis and eddy current losses are $$500$$ $$W$$ and $$200$$ $$W$
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A $$dc$$ series motor is rated $$230V,$$ $$1000$$ $$rpm,$$ $$80$$ $$A$$ (refer to Figure). The series field resistance i
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An ideal transformer has a linear $$B-H$$ characteristic with a finite slope and a turns ratio of $$1:1.$$ The primary o
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The electric field $$\overrightarrow E $$ (in volts/metre) at the point $$(1, 1, 0)$$ due to a point charge of $$+1$$ $
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Given the potential function in free space to be $$V\left( x \right) = \left( {50{x^2} + 50{y^2} + 50{z^2}} \right)$$ v
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The conductors of a $$10$$ $$km$$ long, single phase, two wire line are separated by a distance of $$1.5$$ $$m.$$ The di
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$$AC$$ to $$DC$$ circulating current dual converters are operated with the following relationship between their triggeri
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A half-wave thyristor converter supplies a purely inductive load, as shown in figure. If the triggering angle of the thy
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A voltage commutated thyristor chopper circuit is shown in fig. The chopper is operated at $$500$$ $$Hz$$ with $$50\% $$
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A single - phase full-bridge voltage source inverter feeds a purely inductive load, as shown in figure. when $${T_1},{T_
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A lossless radial transmission line with surge impedance loading
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Consider the model shown in figure of a transmission line with a series capacitor at its mid-point. The maximum voltage
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The conductors of a $$10$$ km long, single phase, two wire line are separated by a distance of $$1.5$$ m. The diameter o
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A 132 kV transmission line AB is connected to a cable BC. The characteristic impedances of the overhead line and the cab
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A synchronous generator is connected to an infinite bus through a lossless double circuit transmission line. The generat
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A $$50$$ Hz alternator is rated $$500$$ $$MVA,$$ $$20$$ $$kV,$$ with $${X_d} = 1.0$$ per unit and $$X'{'_d} = 0.2$$ per
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A single line-to-ground fault occurs on an unloaded generator in phase a positive, negative, and zero sequence impedance
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A power system has two generators with the following cost curves Generator $$1:$$ $${C_1}\left( {{P_{G1}}} \right) = 0.0
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A power system has two synchronous generators. The Governor-turbine characteristics corresponding to the generators are
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For the $$Y$$-$$bus$$ matrix given in per unit values, where the first, second, third and fourth row refers to bus $$1,
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A $$75$$ MVA, $$10$$ kV synchronous generator has Xd $$= 0.4$$ p.u. The Xd value (in p.u.) is a base of $$100$$ MVA, $$1
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Given the relationship between the input $$u(t)$$ and the output $$y(t)$$ to be $$y\left( t \right) = \int\limits_0^t {\
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Consider the voltage waveform $$V,$$ shown in Fig. Find. $$(a)$$$$\,\,\,\,\,\,\,\,$$ the dc component of $$V,$$ $$(b
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