GATE EE 2003 | GATE EE Year Wise Previous Years Questions

GATE EE

1. A voltage signal $$\,10\,\,\sin \,\omega t\,\,$$ is applied to the circuit with ideal diodes, as shown in figure. The ma 2. In the circuit of figure shown, assume that the transistor has $${h_{fe}} = 99$$ and $${V_{BE}} = 0.7V.$$ The value of 3. The variation of drain current with gate-to-source voltage $$\left( {{{\rm I}_D} - {V_{GS}}} \right.$$ characteristic$$\ 4. For the $$n$$-channel enhancement $$MOSFET$$ shown in figure,, the threshold voltage $${V_{th}}\,\, = \,\,2V.$$ The drai 5. In the circuit shown, the current gain $$'\beta '$$ of the ideal transistor is $$10.$$ The operating point of the transi 6. For the circuit shown in figure with an ideal operational amplifier, the maximum phase shift of the output $${V_o}$$ wit 7. Assuming the operational amplifier to be ideal, the gain $${V_{out}}/{V_{in}}$$ for the circuit shown in figure 8. The circuit of fig shows a $$555$$ Timer $$IC$$ connected as an Astable multivibrator. The value of the capacitor $$C$$ 9. The block diagram of a control system is shown in Fig. The transfer function $$G(s) = Y(s)/U(s)$$ of the system is 10. A control system is defined by the following mathematical relationship $$${{{d^2}x} \over {d{t^2}}} + 6{{dx} \over {dt} 11. The block diagram shown in fig given is a unity feedback closed loop control system. The steady state error in the resp 12. A control system with certain excitation is governed by the following mathematical equation $$${{{d^2}x} \over {d{t^2}}} 13. The roots of the closed loop characteristic equation of the system shown in fig is 14. The loop gain $$GH$$ of a closed loop system is given by the following expression $${K \over {s\left( {s + 2} \right)\le 15. The asymptotic Bode plot of the transfer function $${K \over {1 + {s \over a}}}$$. The error in phase angle and $$dB$$ g 16. A lead compensator used for a closed loop controller has the following transfer function $${\textstyle{{K\left( {1 + {s 17. A second order system starts with an initial condition of $$\left( {\matrix{ 2 \cr 3 \cr } } \right)$$ with 18. The following equation defines a separately exited $$dc$$ motor in the form of a differential equation $${{{d^2}\omega } 19. The Boolean expression $$X\overline Y Z + XYZ + \overline X Y\overline Z + \overline X \overline Y Z + XY\overline Z $$ 20. Figure shows a $$4$$ to $$1$$ $$MUX$$ to be used to implement the sum $$S$$ of a $$1$$-bit full adder with input bits $$ 21. The shift register shown in Fig. is initially loaded with the bit pattern $$1010.$$ Subsequently the shift register is c 22. The simplified block diagram of a $$10$$-bit $$A/D$$ converter of dual slope integrator type is shown in Fig. The $$10$$ 23. The following program is written for an $$8085$$ microprocessor to add two bytes located at memory addresses $$1FFE$$ an 24. A segment of a circuit is shown in figure. $${v_R} = 5\,\,V,\,\,{v_C} = 4\sin 2t.$$ The voltage $${V_L}$$ is given by 25. Fig. shows the waveform of the current passing through an inductor of resistance $$1\,\Omega $$ and inductance $$2$$ $$H 26. In Fig. the value of $$R$$ is 27. In the Fig. $${Z_1} = 10\angle - {60^ \circ },\,\,{Z_2} = 10\angle {60^ \circ },\,$$ $${Z_3} = 50\angle {53.13^ \circ } 28. Two ac sources feed a common variable resistive load as shown in Fig. Under the maximum power transfer condition, the po 29. In Fig. the potential difference between points $$P$$ and $$Q$$ is 30. In the circuit shown in Fig., the switch $$S$$ is closed at time $$t=0$$. The voltage across the inductance at $$t = {0^ 31. In the circuit of Fig. the magnitudes of $${V_L}$$ and $${V_C}$$ are twice that of $${V_R}$$. The inductance of the coil 32. A balanced delta connected load of $$\left( {8 + j6} \right)$$ $$\Omega $$ per phase is connected to a $$400V,$$ $$50Hz, 33. The $$h$$ $$-$$ parameters for a two $$-$$ port network are defined by $$\left[ {\matrix{ {{E_1}} \cr {{{\rm I} 34. The effect of stray magnetic fields on the actuating torque of a portable instrument is maximum when the operating field 35. A Manganin swamping resistance is connected in series with a moving coil ammeter consisting of a milli-ammeter and a sui 36. The inductance of a certain moving-iron ammeter is expressed as $$L = 10 + 3\theta - {{{\theta ^2}} \over 4}\mu H,\,\,$ 37. An ac voltmeter uses the circuit shown below, where the $$PMMC$$ meter has an internal resistance of $$100$$$$\Omega $$ 38. The items in List $$-$$ $${\rm I}$$ represent the various types of measurements to be made with a reasonable accuracy us 39. The voltage-flux adjustment of a certain $$1$$-phase $$220$$ $$V$$ induction watt-hour meter is altered so that the phas 40. A wattmeter reads $$400$$ $$W$$ when its current coil is connected in the $$R$$ phase and its pressure coil is connected 41. A $$500$$ $$A/5$$ $$A,$$ $$50$$ $$Hz$$ current transformer has a bar primary. The secondary burden is a pure resistance 42. List $$-$$ $${\rm I}$$ represents the figures obtained on a $$CRO$$ screen when the voltage signals $$\,{V_X}\,\, = \,\, 43. The simplified block diagram of a $$10$$bit A/D converter of dual slope integrator type is shown in fig. The $$10$$-bit 44. A dc series motor driving an electric train faces a constant power load. It is running at rated speed and rated voltage. 45. A single phase transformer has a maximum efficiency of 90% at full load and unity power factor. Efficiency at half load 46. Figure shows an ideal single-phase transformer. The primary and secondary coils are wound on the core as shown. Turns ra 47. Figure shows a $$\triangle$$ - Y connected 3-phase distribution transformer used to step down the voltage from 11000 V t 48. Figure shows an ideal three-winding transformer. The three windings 1,2,3 of the transformer are wound on the same core 49. Group I lists different applications and Group II lists the motors for these applications. Match the application with th 50. No-load test on a 3-phase induction motor was conducted at different supply voltages and a plot of input power versus vo 51. A 3-phase Inductor Motor is driving a constant torque load at rated voltage and frequency. If both voltage and frequency 52. A single phase induction motor with only the main winding excited would exhibit the following response at synchronous sp 53. Following are some of the properties of rotating electrical machines P. Stator winding current is dc, rotor-winding curr 54. When Stator and Rotor windings of a 2-pole rotating electrical machine are excited, each would produce a sinusoidal mmf 55. Curves X and Y in Figure denote open circuit and full-load zero power factor (zpf) characteristics of asynchronous gener 56. A stand-alone engine driven Synchronous generator is feeding a partly inductive load. A capacitor is now connected acros 57. A $$4$$-pole, $$3$$-phase, double layer winding is housed in a $$36$$-slot stator for an $$ac$$ machine with $$60$$ degr 58. A parallel plate capacitor has an electrode area of $$100$$ $$m{m^2}$$, with a spacing of $$0.1$$ $$mm$$ between the ele 59. A point charge of $$+1$$ $$nC$$ is placed in a space with a permittivity of $$8.85 \times {10^{ - 12}}\,F/m$$ as shown i 60. A composite parallel plate capacitor is made up of two different dielectric materials with different thickness ($${t_1}$ 61. Two conductors are carrying forward and return current of $$ + {\rm I}$$ and $$ - {\rm I}$$ as shown in Fig. The magnet 62. Figure shows a thyristor with the standard terminations of anode $$(A),$$ cathode $$(K),$$ gate $$(G)$$ and the differen 63. Figure shows a $$MOSFET$$ with an integral body diode. It is employed as a power switching device in the ON and OFF stat 64. A fully controlled natural commuted $$3$$-phase bridge rectifier is operating with a firing angle $$\alpha = {30^0}.$$ 65. A phase - controlled half - controlled single - phase converter is shown in figure. The control angle $$\alpha = {30^ \ 66. A chopper is employed to charge a battery as shown in figure. The charging current is $$5A$$. The duty ratio is $$0.2.$$ 67. An inverter has a periodic output voltage with the output waveform as shown in figure When the conduction angle $$\alp 68. An inverter has a periodic output voltage with the output waveform as shown in figure With reference to the output wav 69. Bundled conductors are mainly used in high voltage overhead transmission lines to 70. A $$3$$-phase, $$11$$-$$kV$$ generator feeds power to a constant power unity power factor load of $$100$$ $$MW$$ through 71. A balanced delta connected load of $$\left( {8 + j6} \right)\Omega $$ per phase is connected to a $$400$$ $$V$$, $$50$$ 72. The ABCD parameters of a $$3$$-phase overhead transmission line are $$\,A = D = 0.9\angle {0^ \circ }.\,\,B = 200\,\angl 73. A dc distribution system is shown in figure with load currents as marked. The two ends of the feeder are fed by voltage 74. A surge of 20 kV magnitude travels along a lossless cable towards its junction with two identical lossless overhead tran 75. In a transmission line each conductor is at $$20$$ $$kV$$ and is supported by a string of $$3$$ suspension insulators. T 76. Incremental fuel costs (in some appropriate unit) for a power plant consisting of three generating units are $${\rm I}{C 77. A round rotor generator with internal voltage $${E_1} = 2.0\,\,$$ p.u.and $$\,X = 1.1\,\,$$ p.u. is connected to a roun 78. A generator delivers power of 1.0 p.u. to an infinite bus through a purely reactive network. The maximum power that coul 79. A 20-MVA, 6.6-kV, 3-phase alternator is connected to a 3-phase transmission line. The per unit positive sequence, negati 80. A three-phase alternator generating unbalanced voltages is connected to an unbalanced load through a 3-phase transmissio 81. The interrupting time of a circuit breaker is the period between the instant of 82. A list of relays and the power system components protected by the relays are given in List-$${\rm I}$$ and List-$${\rm I 83. A power system consists of $$300$$ buses out of which $$20$$ buses are generator buses, $$25$$ buses are the ones with r 84. The bus impedance matrix of a $$4$$-bus power system is given by $$${Z_{bus}} = \left[ {\matrix{ {j0.3435} & {j0. 85. Choose two appropriate auxiliary components of a HVDC transmission system from the following $$1.$$ D.C. line inductor $

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GATE EE 2003

MCQ (Single Correct Answer)

-0.6

The block diagram shown in fig given is a unity feedback closed loop control system. The steady state error in the response of the above system to unit step input is GATE EE 2003 Control Systems - Time Response Analysis Question 19 English

GATE EE 2003 Control Systems - Time Response Analysis Question 19 English

$$25\% $$

$$0.75\% $$

$$6\% $$

$$33\% $$

GATE EE 2003

MCQ (Single Correct Answer)

-0.6

A control system with certain excitation is governed by the following mathematical equation $$${{{d^2}x} \over {d{t^2}}} + {1 \over 2}{{dx} \over {dt}} + {1 \over {18}}x = 10 + 5{e^{ - 4t}} + 2{e^{ - 5t}}$$$
The natural time constants of the response of the system are

$$2s$$ and $$5s$$

$$3s$$ and $$6s$$

$$4s$$ and $$5s$$

$$1/3s$$ and $$1/6s$$

GATE EE 2003

MCQ (Single Correct Answer)

-0.6

The roots of the closed loop characteristic equation of the system shown in fig is GATE EE 2003 Control Systems - Time Response Analysis Question 18 English

GATE EE 2003 Control Systems - Time Response Analysis Question 18 English

$$-1$$ and $$-15$$

$$6$$ and $$10$$

$$-4$$ and $$-15$$

$$-6$$ and $$-10$$

GATE EE 2003

MCQ (Single Correct Answer)

-0.6

The loop gain $$GH$$ of a closed loop system is given by the following expression $${K \over {s\left( {s + 2} \right)\left( {s + 4} \right)}}.$$ The value of $$K$$ for which the system just becomes unstable is

$$K=6$$

$$K=8$$

$$K=48$$

$$K=96$$

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2023