GATE EE 2003
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## GATE EE

A voltage signal $$\,10\,\,\sin \,\omega t\,\,$$ is applied to the circuit with ideal diodes, as shown in figure. The ma
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In the circuit of figure shown, assume that the transistor has $${h_{fe}} = 99$$ and $${V_{BE}} = 0.7V.$$ The value of
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The variation of drain current with gate-to-source voltage $$\left( {{{\rm I}_D} - {V_{GS}}} \right.$$ characteristic$$\ View Question For the$$n$$-channel enhancement$$MOSFET$$shown in figure,, the threshold voltage$${V_{th}}\,\, = \,\,2V.$$The drai View Question In the circuit shown, the current gain$$'\beta '$$of the ideal transistor is$$10.$$The operating point of the transi View Question For the circuit shown in figure with an ideal operational amplifier, the maximum phase shift of the output$${V_o}$$wit View Question Assuming the operational amplifier to be ideal, the gain$${V_{out}}/{V_{in}}$$for the circuit shown in figure View Question The circuit of fig shows a$$555$$Timer$$IC$$connected as an Astable multivibrator. The value of the capacitor$$C$$View Question The block diagram of a control system is shown in Fig. The transfer function$$G(s) = Y(s)/U(s)$$of the system is View Question A control system is defined by the following mathematical relationship$$${{{d^2}x} \over {d{t^2}}} + 6{{dx} \over {dt} View Question The block diagram shown in fig given is a unity feedback closed loop control system. The steady state error in the resp View Question A control system with certain excitation is governed by the following mathematical equation $${{{d^2}x} \over {d{t^2}}} View Question The roots of the closed loop characteristic equation of the system shown in fig is View Question The loop gain$$GH$$of a closed loop system is given by the following expression$${K \over {s\left( {s + 2} \right)\le View Question The asymptotic Bode plot of the transfer function $${K \over {1 + {s \over a}}}$$. The error in phase angle and $$dB$$ g View Question A lead compensator used for a closed loop controller has the following transfer function $${\textstyle{{K\left( {1 + {s View Question A second order system starts with an initial condition of$$\left( {\matrix{ 2 \cr 3 \cr } } \right)$$with View Question The following equation defines a separately exited$$dc$$motor in the form of a differential equation$${{{d^2}\omega } View Question The Boolean expression $$X\overline Y Z + XYZ + \overline X Y\overline Z + \overline X \overline Y Z + XY\overline Z$$ View Question Figure shows a $$4$$ to $$1$$ $$MUX$$ to be used to implement the sum $$S$$ of a $$1$$-bit full adder with input bits $$View Question The shift register shown in Fig. is initially loaded with the bit pattern$$1010.$$Subsequently the shift register is c View Question The simplified block diagram of a$$10$$-bit$$A/D$$converter of dual slope integrator type is shown in Fig. The$$10$$View Question The following program is written for an$$8085$$microprocessor to add two bytes located at memory addresses$$1FFE$$an View Question A segment of a circuit is shown in figure.$${v_R} = 5\,\,V,\,\,{v_C} = 4\sin 2t.$$The voltage$${V_L}$$is given by View Question Fig. shows the waveform of the current passing through an inductor of resistance$$1\,\Omega $$and inductance$$2H View Question In Fig. the value of $$R$$ is View Question In the Fig. $${Z_1} = 10\angle - {60^ \circ },\,\,{Z_2} = 10\angle {60^ \circ },\,$$ $${Z_3} = 50\angle {53.13^ \circ } View Question Two ac sources feed a common variable resistive load as shown in Fig. Under the maximum power transfer condition, the po View Question In Fig. the potential difference between points$$P$$and$$Q$$is View Question In the circuit shown in Fig., the switch$$S$$is closed at time$$t=0$$. The voltage across the inductance at$$t = {0^ View Question In the circuit of Fig. the magnitudes of $${V_L}$$ and $${V_C}$$ are twice that of $${V_R}$$. The inductance of the coil View Question A balanced delta connected load of $$\left( {8 + j6} \right)$$ $$\Omega$$ per phase is connected to a $$400V,$$ $$50Hz, View Question The$$h-$$parameters for a two$$-$$port network are defined by$$\left[ {\matrix{ {{E_1}} \cr {{{\rm I} View Question The effect of stray magnetic fields on the actuating torque of a portable instrument is maximum when the operating field View Question A Manganin swamping resistance is connected in series with a moving coil ammeter consisting of a milli-ammeter and a sui View Question The inductance of a certain moving-iron ammeter is expressed as $$L = 10 + 3\theta - {{{\theta ^2}} \over 4}\mu H,\,\, View Question An ac voltmeter uses the circuit shown below, where the$$PMMC$$meter has an internal resistance of$$100\Omega $$View Question The items in List$$-{\rm I}$$represent the various types of measurements to be made with a reasonable accuracy us View Question The voltage-flux adjustment of a certain$$1$$-phase$$220V$$induction watt-hour meter is altered so that the phas View Question A wattmeter reads$$400W$$when its current coil is connected in the$$R$$phase and its pressure coil is connected View Question A$$500A/5A,50Hz$$current transformer has a bar primary. The secondary burden is a pure resistance View Question List$$-{\rm I}$$represents the figures obtained on a$$CRO$$screen when the voltage signals$$\,{V_X}\,\, = \,\, View Question The simplified block diagram of a $$10$$bit A/D converter of dual slope integrator type is shown in fig. The $$10$$-bit View Question A dc series motor driving an electric train faces a constant power load. It is running at rated speed and rated voltage. View Question A single phase transformer has a maximum efficiency of 90% at full load and unity power factor. Efficiency at half load View Question Figure shows an ideal single-phase transformer. The primary and secondary coils are wound on the core as shown. Turns ra View Question Figure shows a $$\triangle$$ - Y connected 3-phase distribution transformer used to step down the voltage from 11000 V t View Question Figure shows an ideal three-winding transformer. The three windings 1,2,3 of the transformer are wound on the same core View Question Group I lists different applications and Group II lists the motors for these applications. Match the application with th View Question No-load test on a 3-phase induction motor was conducted at different supply voltages and a plot of input power versus vo View Question A 3-phase Inductor Motor is driving a constant torque load at rated voltage and frequency. If both voltage and frequency View Question A single phase induction motor with only the main winding excited would exhibit the following response at synchronous sp View Question Following are some of the properties of rotating electrical machines P. Stator winding current is dc, rotor-winding curr View Question When Stator and Rotor windings of a 2-pole rotating electrical machine are excited, each would produce a sinusoidal mmf View Question Curves X and Y in Figure denote open circuit and full-load zero power factor (zpf) characteristics of asynchronous gener View Question A stand-alone engine driven Synchronous generator is feeding a partly inductive load. A capacitor is now connected acros View Question A $$4$$-pole, $$3$$-phase, double layer winding is housed in a $$36$$-slot stator for an $$ac$$ machine with $$60$$ degr View Question A parallel plate capacitor has an electrode area of $$100$$ $$m{m^2}$$, with a spacing of $$0.1$$ $$mm$$ between the ele View Question A point charge of $$+1$$ $$nC$$ is placed in a space with a permittivity of $$8.85 \times {10^{ - 12}}\,F/m$$ as shown i View Question A composite parallel plate capacitor is made up of two different dielectric materials with different thickness ($${t_1} View Question Two conductors are carrying forward and return current of$$ + {\rm I}$$and$$ - {\rm I}$$as shown in Fig. The magnet View Question Figure shows a thyristor with the standard terminations of anode$$(A),$$cathode$$(K),$$gate$$(G)$$and the differen View Question Figure shows a$$MOSFET$$with an integral body diode. It is employed as a power switching device in the ON and OFF stat View Question A fully controlled natural commuted$$3$$-phase bridge rectifier is operating with a firing angle$$\alpha = {30^0}.$$View Question A phase - controlled half - controlled single - phase converter is shown in figure. The control angle$$\alpha = {30^ \ View Question A chopper is employed to charge a battery as shown in figure. The charging current is $$5A$$. The duty ratio is $$0.2.$$ View Question An inverter has a periodic output voltage with the output waveform as shown in figure When the conduction angle $$\alp View Question An inverter has a periodic output voltage with the output waveform as shown in figure With reference to the output wav View Question Bundled conductors are mainly used in high voltage overhead transmission lines to View Question A$$3$$-phase,$$11$$-$$kV$$generator feeds power to a constant power unity power factor load of$$100MW$$through View Question A balanced delta connected load of$$\left( {8 + j6} \right)\Omega $$per phase is connected to a$$400V$$,$$50$$View Question The ABCD parameters of a$$3$$-phase overhead transmission line are$$\,A = D = 0.9\angle {0^ \circ }.\,\,B = 200\,\angl View Question A dc distribution system is shown in figure with load currents as marked. The two ends of the feeder are fed by voltage View Question A surge of 20 kV magnitude travels along a lossless cable towards its junction with two identical lossless overhead tran View Question In a transmission line each conductor is at $$20$$ $$kV$$ and is supported by a string of $$3$$ suspension insulators. T View Question Incremental fuel costs (in some appropriate unit) for a power plant consisting of three generating units are $${\rm I}{C View Question A round rotor generator with internal voltage$${E_1} = 2.0\,\,$$p.u.and$$\,X = 1.1\,\,$$p.u. is connected to a roun View Question A generator delivers power of 1.0 p.u. to an infinite bus through a purely reactive network. The maximum power that coul View Question A 20-MVA, 6.6-kV, 3-phase alternator is connected to a 3-phase transmission line. The per unit positive sequence, negati View Question A three-phase alternator generating unbalanced voltages is connected to an unbalanced load through a 3-phase transmissio View Question The interrupting time of a circuit breaker is the period between the instant of View Question A list of relays and the power system components protected by the relays are given in List-$${\rm I}$$and List-$${\rm I View Question A power system consists of $$300$$ buses out of which $$20$$ buses are generator buses, $$25$$ buses are the ones with r View Question The bus impedance matrix of a $$4$$-bus power system is given by $${Z_{bus}} = \left[ {\matrix{ {j0.3435} &amp; {j0. View Question Choose two appropriate auxiliary components of a HVDC transmission system from the following$$1.$$D.C. line inductor$
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