GATE EE 2002 | GATE EE Year Wise Previous Years Questions

GATE EE

1. The cut in voltage of both Zener diode $${D_z}$$ and diode $$D$$ shown in Figure is $$0.7$$ $$V,$$ while break down volt 2. The forward resistance of the diode shown in figure is $$5\Omega $$ and the remaining parameters are same as those of id 3. A diode whose terminal characteristics are related as $${i_D} = {{\rm I}_S}\,{e^{{V \over {{V_T}}}}},\,$$ where $${{\rm 4. In the single phase diode bridge rectifier shown in the figure, the load resistor is $$R = 50\,\Omega .$$ The source vol 5. For the circuit shown in Figure, $${{\rm I}_E} = 1\,\,mA,\,\,\,\beta = 99$$ and $${V_{BE}} = 0.7\,\,V$$ determine (a) C 6. The output voltage$$\left( {{V_0}} \right)$$ of the Schmitt trigger shown in figure swings between $$+15V$$ and $$–15V.$ 7. Determine the transfer function $$\left( {{{{V_y}} \over {{V_x}}}} \right)$$ for the $$RC$$ network shown in figure $$(1 8. The transfer function of the system described by $${{{d^2}y} \over {d{t^2}}} + {{dy} \over {dt}} = {{du} \over {dt}} + 2 9. A unity feedback system has an open loop transfer function, $$G\left( s \right) = {K \over {{s^2}}}.$$ The root locus p 10. The open loop transfer function of a unity feedback system is given by $$G\left( s \right) = {{2\left( {s + \alpha } \ri 11. The state transition matrix for the system $$\mathop X\limits^ \bullet = AX\,\,$$ with initial state $$X(0)$$ is 12. For the system $$X = \left[ {\matrix{ 2 & 3 \cr 0 & 5 \cr } } \right]X + \left[ {\matrix{ 1 \cr 13. For the system $$\mathop X\limits^ \bullet = \left[ {\matrix{ 2 & 0 \cr 0 & 4 \cr } } \right]X + 14. Obtain a state variable representation of the system governed by the differential equation: $${{{d^2}y} \over {d{t^2}}} 15. For the circuit shown in Fig. the Boolean expression for the output $$Y$$ in terms of inputs $$P,$$ $$Q,$$ $$R$$ and $$S 16. The frequency of the clock signal applied to the rising edge triggered $$D$$ flip-flop shown in Fig. is $$10$$ $$kHz.$$ 17. The ripple counter shown in Fig. is made up negative edge triggered $$J$$-$$E$$ flips flops. The signal levels at $$J$$ 18. The logic circuit used to generate the active low chip select $$(CS)$$ by an $$8085$$ microprocessor to address a periph 19. When a program is being executed in an $$8085$$ microprocessor, its Program Counter contains 20. In the resistor network shown in Fig. all resistor values are $$1\,\,\Omega .$$ $$A$$ current of $$1A$$ passes from term 21. The graph of an electrical network has $$N$$ nodes and $$B$$ branches. The number of links, $$L$$, with respect to the c 22. An electrical network is fed by two $$ac$$ sources, as shown in Fig. Given that $${Z_1} = \left( {1 - j} \right)\Omega 23. Consider the circuit shown in Fig. If the frequency of the source is $$50$$ $$Hz,$$ then a value of $${t_0}$$ which resu 24. An $$11$$ $$V$$ pulse of $$10$$ $$µ$$s duration is applied to the circuit shown in Fig. Assuming that the capacitor is c 25. A constant current source is supplying $$10A$$ to a circuit shown in Fig. the switch $$S,$$ which is initially closed fo 26. In the circuit shown in Fig. what value of $$C$$ will cause a unity power factor at the $$ac$$ source? 27. A series $$R-L-C$$ circuit has $$R = 50\Omega ;$$ $$L=100$$ $$\mu H$$ and $$C = 1\,\,\mu F.$$ The lower half power freq 28. A first order, low pass filter is given with $$R = 50\,\,\Omega $$ and $$C$$ $$ = 5\mu F.$$ What is the frequency at wh 29. In the circuit shown in Fig. it is found that the input $$ac$$ voltage $$\left( {{V_i}} \right)$$ and current $$i$$ are 30. A two $$-$$ port network, shown in Fig. is described by the following equations: $$\eqalign{ & {{\rm I}_1} = {Y_{1 31. Kelvin double bridge is best suited for the measurement of 32. The line to line input voltage to the $$3$$ phase, $$50$$ Hz, ac circuit shown in fig is $$100$$ $$V$$ $$r.m.s$$ Assumin 33. Two in-phase, 50Hz sinusoidal waveform of unit amplitude are fed into channel-1. and channel-2 respectively of an oscill 34. A dc series motor fed from rated supply voltage is overloaded and its magnetic circuit is saturated. The torque-speed ch 35. A 200 V, 2000 rpm, 10A, separately excited d.c. motor has an armature resistance of 2 $$\Omega$$. Rated d.c. voltage is 36. A 1 kVA, 230V/100V, single phase, 50 Hz transformer having negligible winding resistance and leakage inductance is opera 37. A 400V/200V/200V, 50 Hz three winding transformer is connected as shown in Figure. The reading of the voltmeter 'V' will 38. If a 400 V, 50 Hz, star connected, 3 phase squirrel cage induction motor is operated from a 400 V, 75 Hz supply, the tor 39. The flux per pole in a synchronous motor with the field circuit ON and the stator disconnected from the supply is found 40. A $$415$$ $$V,$$ $$2$$ pole, $$3$$ phase, $$50$$ $$Hz,$$ star connected, non-salient pole synchronous motor has synchron 41. A $$230V,$$ $$250$$ $$rpm.$$ $$100A$$ separately excited $$dc$$ motor has an armature resistance of $$0.5\,\Omega .$$ Th 42. In a single phase $$3$$ winding transformer the turns ratio for primary: secondary: tertiary windings is $$20:4:1.$$ Wit 43. A single phase $$6300$$ $$kVA,$$ $$50$$ $$Hz,$$ $$3300V/400V$$ distribution transformer is connected between two $$50$$ 44. Given a vector field $$\overrightarrow F ,$$ the divergence theorem states that 45. The magnetic vector potential in a region is defined by $$\overrightarrow A = {e^{ - y}}\sin \left( x \right){\widehat 46. The determinant of the matrix $$\left[ {\matrix{ 1 & 0 & 0 & 0 \cr {100} & 1 & 0 & 0 \c 47. Given a vector field $${\overrightarrow F ,}$$ the divergence theorem states that 48. Let $$Y(s)$$ be the Laplace transform of function $$y(t),$$ then the final value of the function is __________. 49. A six pulse thyristor rectifier bridge is connected to a balanced $$50Hz$$ three phase $$ac$$ source. Assuming that the 50. A three phase thyristor bridge rectifier is used in a $$HVDC$$ link. The firing angle $$\alpha $$ (as measured from the 51. In the single phase diode bridge rectifier shown in fig, the load resistor is $$R = 50\Omega .$$ The source voltage is 52. A step down chopper is operated in the continuous conduction mode in steady state with a constant duty ratio $$D.$$ If $ 53. In the chopper circuit shown in fig the input $$dc$$ voltage has a constant value $${{V_s}}$$. the output voltage $${{V_ 54. In fig, the ideal switch $$S$$ is switched on and off with a switching frequency $$f = 10 kHz.$$ The switching time peri 55. Fig. $$(a)$$ shows an inverter circuit with a $$dc$$ source voltage $${V_{s}}$$. The semiconductor switches of the inver 56. Consider a long, two-wire line composed of solid round conductors. The radius of both conductors is $$0.25$$ cm and the 57. A long wire composed of a smooth round conductor runs above and parallel to the ground (assumed to be a large conducting 58. A long lossless transmission line has a unity power factor (UPF) load at the receiving end and an ac voltage source at t 59. A transmission line has a total series reactance of 0.2 pu. Reactive power compensation is applied at the midpoint of th 60. A synchronous generator is to be connected to an infinite bus through a transmission line of reactance X = 0.2 pu, as sh 61. A generator is connected to a transformer which feeds another transformer through a short feeder. The zero sequence impe 62. Consider the problem of relay co-ordination for the distance relays $$R1$$ and $$R2$$ on adjacent lines of a transmissio 63. Consider a power system with three identical generators. The transmission losses are negligible. One generator ($$G1$$) 64. A power system consists of 2 areas (Area 1 and Area 2) connected by a single tie line (figure). It is required to carry 65. Two transposed $$3$$ phase lines run parallel to each other. The equation describing the voltage drop in both lines is 66. Let Y(s) be the Laplace transformation of the function y(t), then the final value of the function is 67. $$s(t)$$ is step response and $$h(t)$$ is impulse response of a system. Its response $$y(t)$$ for any input $$u(t)$$ is 68. A single input single output system with $$y$$ as output and $$u$$ as input, is described by $$${{{d^2}y} \over {d{t^2} 69. Fourier Series for the waveform, $$f(t)$$ shown in Fig. is 70. What is the $$rms$$ value of the voltage waveform shown in Fig?

GATE EE 2002

MCQ (Single Correct Answer)

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What is the $$rms$$ value of the voltage waveform shown in Fig? GATE EE 2002 Signals and Systems - Continuous Time Periodic Signal Fourier Series Question 10 English