GATE EE 2001 | GATE EE Year Wise Previous Years Questions

GATE EE

1. An $$N$$-channel $$JFET$$ having a pinch-off voltage $$\left( {{V_P}} \right)$$ of $$-5V$$ shows a transconductance (gm) 2. An op-amp, having a slew rate of $$62.8$$ $$V/\mu \,$$sec, is connected in a voltage follower configuration. If the maxi 3. For the oscillator circuit shown in figure, the expression for the time period of oscillations can be given by (where $$ 4. For the op-amp circuit shown in figure. Determine the output voltage $${v_0}.$$ Assume that the op-amps are ideal 5. A simple active filter is shown in figure. Assume ideal op-amp. Derive the transfer function $${v_0}/{v_i}$$ of the circ 6. An op-amp has an open-loop gain of $${10^5}$$ and an open-loop upper cutoff frequency of $$10$$ $$Hz.$$ If this op-amp i 7. In the single stage transistor amplifier circuit shown in figure, the capacitor $${C_E}$$ is removed. Then the ac small 8. A sample-and-hold $$(S/H)$$ circuit, having a holding capacitor of $$0.1$$ $$nF,$$ is used at the input of an $$ADC$$ (a 9. The transistor in the amplifier circuit shown in the figure is biased at $${{\rm I}_C} = mA.$$ Use $${V_T}\left( { = {{k 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. A passive 2-port network is in a steady state.Compare to its input, the steady state output can never offer 21. Given two coupled inductors $${L_1}$$ and $${L_2}$$, their mutual inductance $$M$$ satisfies 22. Two incandescent light bulbs of $$40$$ $$W$$ and $$60$$ $$W$$ rating are connected in series across the mains. Then 23. Consider the star network shown in Fig. The resistance between terminals $$A$$ and $$B$$ with $$C$$ open is $$6\,\Omega 24. A unit step voltage is applied at $$t = 0$$ to a series $$RL$$ circuit with zero initial conditions. 25. In a series $$RLC$$ circuit at resonance, the magnitude of the voltage developed across the capacitor 26. Determine the resonance frequency and the $$Q$$ $$-$$ factor of the circuit shown in Fig. Data: $$\,\,\,\,\,R = 10\,\ 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. In case of an armature controlled separately excited dc motor drive with closed loop speed control, an inner current loo 31. An electric motor with 'constant output power' will have a torque speed characteristic in the form of a 32. A single-phase transformer is to be switched to the supply to have minimum inrush current. The switch should be closed a 33. The core flux of a practical transformer with a resistive load 34. A 3-phase transformer has rating of 20 MVA, 220 kV (star) / 33 kV (delta) with leakage reactance of 12%. The transformer 35. 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. 36. It is desirable to eliminate 5th harmonic voltage from the phase voltage of an alternator. The coils should be short-pit 37. Figure shows the magnetization curves of an alternator at rated armature current, unity power factor and also at no load 38. Xd, Xd' and Xd" are steady stated-axis synchronous reactance, transient d-axis reactance and sub-transient d-axis reacta 39. A star-connected 440 V, 50 Hz alternators has per phase synchronous reactance of 10 Ω. It supplies a balanced capacitive 40. A $$50$$ $$kW$$ synchronous motor is tested by driving it by another motor. When the excitation is not switched on, the 41. Two identical synchronous generators, each of $$100$$ $$MVA,$$ are working in parallel supplying $$100$$ $$MVA$$ at $$0. 42. In a $$dc$$ motor running at $$2000$$ $$rpm,$$ the hysteresis and eddy current losses are $$500$$ $$W$$ and $$200$$ $$W$ 43. A $$dc$$ series motor is rated $$230V,$$ $$1000$$ $$rpm,$$ $$80$$ $$A$$ (refer to Figure). The series field resistance i 44. An ideal transformer has a linear $$B-H$$ characteristic with a finite slope and a turns ratio of $$1:1.$$ The primary o 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. $$AC$$ to $$DC$$ circulating current dual converters are operated with the following relationship between their triggeri 49. A half-wave thyristor converter supplies a purely inductive load, as shown in figure. If the triggering angle of the thy 50. A voltage commutated thyristor chopper circuit is shown in fig. The chopper is operated at $$500$$ $$Hz$$ with $$50\% $$ 51. A single - phase full-bridge voltage source inverter feeds a purely inductive load, as shown in figure. when $${T_1},{T_ 52. A lossless radial transmission line with surge impedance loading 53. Consider the model shown in figure of a transmission line with a series capacitor at its mid-point. The maximum voltage 54. The conductors of a $$10$$ km long, single phase, two wire line are separated by a distance of $$1.5$$ m. The diameter o 55. A 132 kV transmission line AB is connected to a cable BC. The characteristic impedances of the overhead line and the cab 56. A synchronous generator is connected to an infinite bus through a lossless double circuit transmission line. The generat 57. A $$50$$ Hz alternator is rated $$500$$ $$MVA,$$ $$20$$ $$kV,$$ with $${X_d} = 1.0$$ per unit and $$X'{'_d} = 0.2$$ per 58. A single line-to-ground fault occurs on an unloaded generator in phase a positive, negative, and zero sequence impedance 59. A power system has two generators with the following cost curves Generator $$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 3 English

GATE EE 2001 Signals and Systems - Continuous Time Periodic Signal Fourier Series Question 3 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

2023