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 $$View Question For the op-amp circuit shown in figure. Determine the output voltage$${v_0}.$$Assume that the op-amps are ideal View Question A simple active filter is shown in figure. Assume ideal op-amp. Derive the transfer function$${v_0}/{v_i}$$of the circ View Question An op-amp has an open-loop gain of$${10^5}$$and an open-loop upper cutoff frequency of$$10Hz.$$If this op-amp i View Question In the single stage transistor amplifier circuit shown in figure, the capacitor$${C_E}$$is removed. Then the ac small View Question A sample-and-hold$$(S/H)$$circuit, having a holding capacitor of$$0.1nF,$$is used at the input of an$$ADC$$(a View Question The transistor in the amplifier circuit shown in the figure is biased at$${{\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 $$G\left( s \right) = {{10000} \over {s{{\left( {s + 10} \ View Question Given the homogeneous state-space equation$$\mathop X\limits^ \bullet = \left[ {\matrix{ { - 3} &amp; 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 $$1110\,\,(i.e View Question Among the following four, the slowest$$ADC$$(analog-to-digital converter) is View Question An Intel$$8085$$processor is executing the program given below.$$\eqalign{ &amp; \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,
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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 $$6\,\Omega View Question A unit step voltage is applied at$$t = 0$$to a series$$RL$$circuit with zero initial conditions. View Question In a series$$RLC$$circuit at resonance, the magnitude of the voltage developed across the capacitor View Question Determine the resonance frequency and the$$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 $$500$$ $View Question The minimum number of wattmeter(s) required to measure 3 $$-$$ phase, 3 $$-$$ wire balanced or unbalanced power is View Question In case of an armature controlled separately excited dc motor drive with closed loop speed control, an inner current loo View Question An electric motor with 'constant output power' will have a torque speed characteristic in the form of a View Question A single-phase transformer is to be switched to the supply to have minimum inrush current. The switch should be closed a View Question The core flux of a practical transformer with a resistive load View Question A 3-phase transformer has rating of 20 MVA, 220 kV (star) / 33 kV (delta) with leakage reactance of 12%. The transformer View Question 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. View Question It is desirable to eliminate 5th harmonic voltage from the phase voltage of an alternator. The coils should be short-pit View Question Figure shows the magnetization curves of an alternator at rated armature current, unity power factor and also at no load View Question Xd, Xd' and Xd" are steady stated-axis synchronous reactance, transient d-axis reactance and sub-transient d-axis reacta View Question A star-connected 440 V, 50 Hz alternators has per phase synchronous reactance of 10 Ω. It supplies a balanced capacitive View Question A $$50$$ $$kW$$ synchronous motor is tested by driving it by another motor. When the excitation is not switched on, the View Question Two identical synchronous generators, each of $$100$$ $$MVA,$$ are working in parallel supplying $$100$$ $$MVA$$ at $$0. View Question In a$$dc$$motor running at$$2000rpm,$$the hysteresis and eddy current losses are$$500W$$and$$200W$
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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 $${T_1},{T_ View Question A lossless radial transmission line with surge impedance loading View Question Consider the model shown in figure of a transmission line with a series capacitor at its mid-point. The maximum voltage View Question The conductors of a$$10$$km long, single phase, two wire line are separated by a distance of$$1.5$$m. The diameter o View Question A 132 kV transmission line AB is connected to a cable BC. The characteristic impedances of the overhead line and the cab View Question A synchronous generator is connected to an infinite bus through a lossless double circuit transmission line. The generat View Question A$$50$$Hz alternator is rated$$500MVA,20kV,$$with$${X_d} = 1.0$$per unit and$$X'{'_d} = 0.2$$per View Question A single line-to-ground fault occurs on an unloaded generator in phase a positive, negative, and zero sequence impedance View Question A power system has two generators with the following cost curves Generator$$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 $$1, View Question A$$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 $$y\left( t \right) = \int\limits_0^t {\ View Question Consider the voltage waveform$$V,$$shown in Fig. Find.$$(a)\,\,\,\,\,\,\,\,$$the dc component of$$V,(b
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