GATE EE 2001 | GATE EE Year Wise Previous Years Questions

GATE EE

1. An op-amp, having a slew rate of $$62.8$$ $$V/\mu \,$$sec, is connected in a voltage follower configuration. If the maxi 2. For the oscillator circuit shown in figure, the expression for the time period of oscillations can be given by (where $$ 3. For the op-amp circuit shown in figure. Determine the output voltage $${v_0}.$$ Assume that the op-amps are ideal 4. A simple active filter is shown in figure. Assume ideal op-amp. Derive the transfer function $${v_0}/{v_i}$$ of the circ 5. An op-amp has an open-loop gain of $${10^5}$$ and an open-loop upper cutoff frequency of $$10$$ $$Hz.$$ If this op-amp i 6. In the single stage transistor amplifier circuit shown in figure, the capacitor $${C_E}$$ is removed. Then the ac small 7. A sample-and-hold $$(S/H)$$ circuit, having a holding capacitor of $$0.1$$ $$nF,$$ is used at the input of an $$ADC$$ (a 8. The transistor in the amplifier circuit shown in the figure is biased at $${{\rm I}_C} = mA.$$ Use $${V_T}\left( { = {{k 9. An $$N$$-channel $$JFET$$ having a pinch-off voltage $$\left( {{V_P}} \right)$$ of $$-5V$$ shows a transconductance (gm) 10. Given the characteristic equation $${s^3} + 2{s^2} + Ks + K = 0.$$ Sketch the root focus as $$K$$ varies from zero to in 11. The polar plot of a type-$$1, 3$$-pole, open-loop system is shown in Fig. below. The closed loop system is 12. The asymptotic approximation of the log-magnitude versus frequency plot of a minimum phase system with real poles and on 13. A unity feedback system has an open-loop transfer function of $$G\left( s \right) = {{10000} \over {s{{\left( {s + 10} \ 14. Given the homogeneous state-space equation $$\mathop X\limits^ \bullet = \left[ {\matrix{ { - 3} & 1 \cr 15. The output of a logic gate is $$''1''$$ when all its inputs are at logic $$''0''.$$ The gate is either 16. The output $$f$$ of the $$4$$- to- $$1$$ $$MUX$$ shown in fig. is 17. For the ring counter shown in Fig. find the steady state sequence if the initial state of the counters is $$1110\,\,(i.e 18. Among the following four, the slowest $$ADC$$ (analog-to-digital converter) is 19. An Intel $$8085$$ processor is executing the program given below. $$\eqalign{ & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, 20. Two incandescent light bulbs of $$40$$ $$W$$ and $$60$$ $$W$$ rating are connected in series across the mains. Then 21. Given two coupled inductors $${L_1}$$ and $${L_2}$$, their mutual inductance $$M$$ satisfies 22. Consider the star network shown in Fig. The resistance between terminals $$A$$ and $$B$$ with $$C$$ open is $$6\,\Omega 23. A unit step voltage is applied at $$t = 0$$ to a series $$RL$$ circuit with zero initial conditions. 24. In a series $$RLC$$ circuit at resonance, the magnitude of the voltage developed across the capacitor 25. Determine the resonance frequency and the $$Q$$ $$-$$ factor of the circuit shown in Fig. Data: $$\,\,\,\,\,R = 10\,\ 26. A passive 2-port network is in a steady state.Compare to its input, the steady state output can never offer 27. Resistances $${R_1}$$ and $${R_2}$$ have, respectively, nominal values of $$10\Omega $$ and $$5\Omega ,$$ and tolerances 28. A $$100$$ $$\mu A$$ ammeter has an internal resistance of $$100\,\Omega $$. For extending its range to measure $$500$$ $ 29. The minimum number of wattmeter(s) required to measure 3 $$-$$ phase, 3 $$-$$ wire balanced or unbalanced power is 30. A $$50$$ $$kW$$ synchronous motor is tested by driving it by another motor. When the excitation is not switched on, the 31. Two identical synchronous generators, each of $$100$$ $$MVA,$$ are working in parallel supplying $$100$$ $$MVA$$ at $$0. 32. In a $$dc$$ motor running at $$2000$$ $$rpm,$$ the hysteresis and eddy current losses are $$500$$ $$W$$ and $$200$$ $$W$ 33. A $$dc$$ series motor is rated $$230V,$$ $$1000$$ $$rpm,$$ $$80$$ $$A$$ (refer to Figure). The series field resistance i 34. An ideal transformer has a linear $$B-H$$ characteristic with a finite slope and a turns ratio of $$1:1.$$ The primary o 35. In case of an armature controlled separately excited dc motor drive with closed loop speed control, an inner current loo 36. An electric motor with 'constant output power' will have a torque speed characteristic in the form of a 37. A single-phase transformer is to be switched to the supply to have minimum inrush current. The switch should be closed a 38. The core flux of a practical transformer with a resistive load 39. A 3-phase transformer has rating of 20 MVA, 220 kV (star) / 33 kV (delta) with leakage reactance of 12%. The transformer 40. 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. 41. It is desirable to eliminate 5th harmonic voltage from the phase voltage of an alternator. The coils should be short-pit 42. Figure shows the magnetization curves of an alternator at rated armature current, unity power factor and also at no load 43. Xd, Xd' and Xd" are steady stated-axis synchronous reactance, transient d-axis reactance and sub-transient d-axis reacta 44. A star-connected 440 V, 50 Hz alternators has per phase synchronous reactance of 10 Ω. It supplies a balanced capacitive 45. The electric field $$\overrightarrow E $$ (in volts/metre) at the point $$(1, 1, 0)$$ due to a point charge of $$+1$$ $ 46. 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 47. The conductors of a $$10$$ $$km$$ long, single phase, two wire line are separated by a distance of $$1.5$$ $$m.$$ The di 48. A voltage commutated thyristor chopper circuit is shown in fig. The chopper is operated at $$500$$ $$Hz$$ with $$50\% $$ 49. A single - phase full-bridge voltage source inverter feeds a purely inductive load, as shown in figure. when $${T_1},{T_ 50. A half-wave thyristor converter supplies a purely inductive load, as shown in figure. If the triggering angle of the thy 51. $$AC$$ to $$DC$$ circulating current dual converters are operated with the following relationship between their triggeri 52. A $$50$$ Hz alternator is rated $$500$$ $$MVA,$$ $$20$$ $$kV,$$ with $${X_d} = 1.0$$ per unit and $$X'{'_d} = 0.2$$ per 53. A lossless radial transmission line with surge impedance loading 54. Consider the model shown in figure of a transmission line with a series capacitor at its mid-point. The maximum voltage 55. The conductors of a $$10$$ km long, single phase, two wire line are separated by a distance of $$1.5$$ m. The diameter o 56. A 132 kV transmission line AB is connected to a cable BC. The characteristic impedances of the overhead line and the cab 57. A synchronous generator is connected to an infinite bus through a lossless double circuit transmission line. The generat 58. A single line-to-ground fault occurs on an unloaded generator in phase a positive, negative, and zero sequence impedance 59. A power system has two generators with the following cost curves Generator $$1:$$ $${C_1}\left( {{P_{G1}}} \right) = 0.0 60. A power system has two synchronous generators. The Governor-turbine characteristics corresponding to the generators are 61. For the $$Y$$-$$bus$$ matrix given in per unit values, where the first, second, third and fourth row refers to bus $$1, 62. A $$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 63. Given the relationship between the input $$u(t)$$ and the output $$y(t)$$ to be $$y\left( t \right) = \int\limits_0^t {\ 64. Consider the voltage waveform $$V,$$ shown in Fig. Find. $$(a)$$$$\,\,\,\,\,\,\,\,$$ the dc component of $$V,$$ $$(b

GATE EE 2001

Subjective

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Consider the voltage waveform $$V,$$ shown in Fig. Find. GATE EE 2001 Signals and Systems - Continuous Time Periodic Signal Fourier Series Question 4 English

GATE EE 2001 Signals and Systems - Continuous Time Periodic Signal Fourier Series Question 4 English

$$(a)$$$$\,\,\,\,\,\,\,\,$$ the dc component of $$V,$$
$$(b)$$$$\,\,\,\,\,\,\,\,$$ the amplitude of the fundamental component of $$V,$$ and
$$(c)$$$$\,\,\,\,\,\,\,\,$$ the $$rms$$ value of the ac part of $$V$$

GATE EE Papers

2024