GATE EE 2003 | GATE EE Year Wise Previous Years Questions

GATE EE

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

GATE EE 2003

MCQ (Single Correct Answer)

-0.6

A 20-MVA, 6.6-kV, 3-phase alternator is connected to a 3-phase transmission line. The per unit positive sequence, negative sequence and zero sequence impedance of the alternator are j0.1, and j0.04 respectively. The neutral of the alternator is connected to ground through an inductive reactor of j0.05 p.u. The per unit positive, negative and zero sequence impedances of the transmission line are j0.1 and j0.3 respectively. All per unit values are based on the machine ratings. A solid ground fault occurs at one phase of the far end of the transmission line. The voltage of the alternator neutral with respect to ground during the fault is

513.8 V

889.9 V

1112.0 V

642.2 V

GATE EE 2003

MCQ (Single Correct Answer)

-0.6

A generator delivers power of 1.0 p.u. to an infinite bus through a purely reactive network. The maximum power that could be delivered by the generator is 2.0 p.u. A three-phase fault occurs at the terminals of the generator which reduces the generator output to zero. The fault is cleared after $${t_c}$$ seconds. The original network is then restored. The maximum swing of the rotor angle is found to be $${\delta _{\max }} = 110$$ electrical degree. Then the rotor angle in electrical degrees at $$t = {t_c}$$ is

69.14

72.4

GATE EE Papers

2024