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

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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 20 English

GATE EE 2003 Control Systems - Time Response Analysis Question 20 English

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

$$6$$ and $$10$$

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

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

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 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 21 English

GATE EE 2003 Control Systems - Time Response Analysis Question 21 English

$$25\% $$

$$0.75\% $$

$$6\% $$

$$33\% $$

GATE EE 2003

MCQ (Single Correct Answer)

-0.3

A control system is defined by the following mathematical relationship $$${{{d^2}x} \over {d{t^2}}} + 6{{dx} \over {dt}} + 5x = 12\left( {1 - {e^{ - 2t}}} \right)$$$

The response of the system as $$\,t \to \infty $$ is

$$x=6$$

$$x=2$$

$$x=2.4$$

$$x=-2$$

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