GATE EE 2006 | GATE EE Year Wise Previous Years Questions

GATE EE

1. A relaxation oscillator is made using op-amp as shown in figure. The supply Voltage of the op-amp are $$ \pm 12$$ the vo 2. Consider the circuit shown in figure. If the $$\beta $$ of the transistor is $$30$$ and $${{\rm I}_{CBO}}$$ is $$20$$ 3. For given sinusoidal input voltage, the voltage waveform at point $$P$$ of the clamper circuit shown in figure will be 4. Assuming the diodes $${D_1}$$ and $${D_2}$$ of the circuit shown in the figure to be ideal ones, the transfer characteri 5. What are the states of the three ideal diodes of the circuit shown in figure? 6. For a system with the transfer function $$H\left( s \right) = {{3\left( {s - 2} \right)} \over {{s^3} + 4{s^2} - 2s + 1} 7. Consider the following Nyquist plots of loop transfer functions over $$\omega = 0$$ to $$\omega = \infty .$$ Which of 8. The Bode magnitude plot of $$H\left( {j\omega } \right) = {{{{10}^4}\left( {1 + j\,\omega } \right)} \over {\left( {10 + 9. A closed loop system has the characteristic function $$\left( {{s^2} - 4} \right)\left( {s + 1} \right) + K\left( {s - 1 10. The algebraic equation $$F\left( s \right) = {s^5} - 3{s^4} + 5{s^3} - 7{s^2} + 4s + 20$$ $$F\left( s \right) = 0$$ ha 11. A software delay subroutine is written as given below: How many times $$DCR$$ $$L$$ instruction will be executed? 12. A student has made a-$$3$$ bit binary down counter and connected to the $$R$$-$$2R$$ ladder type $$DAC$$ [Gain $$=$$ $$\ 13. A TTL NOT gate circuit is shown in figure. Assuming $${V_{BE}} = 0.7\,v$$ of both the transistors, if $${V_i} = 3.0\,V,$ 14. A $$4 \times 1\,\,MUX$$ is used to implement a $$3$$- input Boolean function as shown in figure. The Boolean function $$ 15. In the figure the current source is $$1\,\,\angle \,0\,A,$$ $$R = \,1\,\,\Omega ,$$ the impedances are $${Z_C} = - j\, 16. The parameters of the circuit shown in the figure are $${R_i} = 1\,\,M\,\Omega ,\,\,{R_0} = 10\,\Omega ,\,\,A = {10^6}\ 17. A $$400V$$, $$50$$ $$Hz,$$ three phase balanced source supplies power to a star connected load whose rating is $$12\,\,\ 18. The circuit shown in the figure is energized by a sinusoidal voltage source $${V_1}$$ at a frequency which causes resona 19. An ideal capacitor is charged to a voltage $${V_0}$$ and connected at $$t=0$$ across an ideal inductor $$L.$$ (The circu 20. A variable $$'w'$$ is related to three other variables $$x, y, z$$ as $$w=xy/z.$$ The variables are measured with meters 21. A current of $$ - 8 + 6\sqrt 2 \left( {\sin \,\omega t + {{30}^0}} \right)\,\,A$$ is passed though three meters. They ar 22. The time/div and voltage/div axes of an oscilloscope have been erased. A student connects a 1kHz, 5V p-p square wave cal 23. A $$200/1$$ current transformer $$(CT)$$ is wound with $$200$$ turns on the secondary on a toroidal core. When it carrie 24. An energy meter connected to an immersion heater (resistive) operating on an $$AC$$ $$230V,$$ $$50$$ $$Hz,$$ $$AC$$ sing 25. A sampling wattmeter (that computes power from simultaneously sampled values of voltage and current) is used to measure 26. $${R_1}$$ and $${R_2}$$ are the opposite arms of $${R_3}$$ and $${R_4}$$ of a wheat stone bridge. The source voltage is 27. A $$3$$ phase, $$10$$ $$kW$$, $$400$$ $$V,$$ $$4$$ pole, $$50$$ $$Hz$$, star connected induction motor draws $$20$$ A on 28. A $$4$$ pole, $$50$$ $$Hz,$$ synchronous generator has $$48$$ slots in which a double layer winding is house. Each coil 29. A $$4$$ pole, $$50$$ $$Hz,$$ synchronous generator has $$48$$ slots in which a double layer winding is house. Each coil 30. A $$3$$-phase $$4000$$ $$V,$$ $$5$$ $$kW,$$ star connected synchronous motor having an internal reactance of $$10$$ $$oh 31. A synchronous generator is feeding a zero power factor (lagging) load at rated current the armature reaction is 32. The speed of a $$4$$-pole induction motor is controlled by varying the supply frequency while maintaining the ratio of s 33. A $$3$$ phase, $$4$$ pole, $$400$$ $$V,$$ $$50$$ $$Hz,$$ star connected induction motor has following circuit parameters 34. A $$300$$ $$kVA$$ transformer has $$95\% $$ efficiency at full load $$0.8$$ $$pf$$ lagging and $$96\% $$ efficiency at 35. Two transformers are to be operated in parallel such that they share load in proportion to their $$kVA$$ ratings. The ra 36. A $$300$$ $$kVA$$ transformer has $$95\% $$ efficiency at full load $$0.8$$ $$pf$$ lagging and $$96\% $$ efficiency at 37. In transformers, which of the following statements is valid? 38. A $$220V$$ $$DC$$ machine supplies $$20$$ $$A$$ at $$200V$$ as a generator. The armature resistance is $$0.2$$ ohm. If t 39. In a $$DC$$ machine, which of the following statements is true? 40. Which of the following statements holds for the divergence of electric and magnetic flux densities? 41. Consider the following statements with reference to the equation $$\nabla.\overrightarrow J=-\frac{\partial\rho}{\partia 42. The concept of an electrically short, medium, and long line is primarily based on the 43. The expression $$V = \int\limits_0^H {\pi {R^2}{{\left( {1 - {h \over H}} \right)}^2}dh\,\,\,} $$ for the volume of a co 44. A single - phase bridge converter is used to charge a battery of $$200$$ $$V$$ having an internal resistance of $$2\,\,\ 45. A single $$-$$ phase half wave uncontrolled converter circuit is shown in figure. A $$2$$ -winding transformer is used a 46. A voltage commutation circuit is shown in figure. If the turn off time of the $$SCR$$$$s$$ is $$50$$ $$\mu \sec $$ and 47. A voltage commutated chopper operating at $$1$$ $$kHz$$ is used to control the speed of $$dc$$ motor as shown in figure. 48. A voltage commutated chopper operating at $$1$$ $$kHz$$ is used to control the speed of $$dc$$ motor as shown in figure. 49. An $$SCR$$ having a turn ON time of $$5\,\,\mu \,\,\sec $$, latching current of $$50$$ $$mA$$ and holding current of $$4 50. A solar cell of $$350V$$ is feeding power to an $$ac$$ supply of $$440$$ $$V,$$ $$50$$ $$Hz$$ through a $$3$$- phase ful 51. A $$3$$ $$-$$ phase fully controlled bridge converter with free wheeling diode is fed from $$400$$ $$V$$, $$50$$ $$Hz$$ 52. Three identical star connected resistors of $$1.0$$ $$p.u$$ are connected to an unbalanced $$3$$ phase supply. The load 53. A generator is connected through a $$20$$ MVA, $$13.8/138$$ kV step up transformer, to a transmission line. At the recei 54. An HVDC link consists of rectifier, inverter transmission line and other equipments. Which one of the following is true 55. For a power system the admittance and impedance matrices for the fault studies are as follows. $$$\eqalign{ & {Y_{ 56. For a power system the admittance and impedance matrices for the fault studies are as follows. $$$\eqalign{ & {Y_{ 57. The Gauss Seidel load flow method has following disadvantages. Tick the incorrect student. 58. In a biased differential relay the bias is defined as a ratio of 59. Keeping in view the cost and overall effectiveness, the following circuit breaker is best suited for capacitor bank swit 60. A generator feeds power to an infinite bus through a double circuit transmission line. A 3 phase fault occurs at the mi 61. A generator feeds power to an infinite bus through a double circuit transmission line. A $$3$$ phase fault occurs at th 62. The $$A, B, C, D$$ constant of a $$220$$ $$kV$$ line are: $$A = D = 0.94\,\angle \,10,\,\,\,B = 130\,\angle \,730,\,\,\ 63. A $$400$$ V, $$50$$ Hz, three phase balanced source supplies power to a star connected load whose rating is $$12\sqrt 3 64. The concept of an electricity short, medium and long line is primarily based on the 65. $$x\left[ n \right] = 0;\,n < - 1,\,n > 0,\,x\left[ { - 1} \right] = - 1,\,x\left[ 0 \right]$$ $$\,\,\,\,\,\,\,\ 66. $$x(t)$$ is a real valued function of a real variable with period $$T.$$ Its trigonometric. Fourier Series expansion con 67. A continuous-time system is described by $$y\left( t \right) = {e^{ - |x\left( t \right)|}},$$ where $$y(t)$$ is the out 68. $$y\left[ n \right]$$ denotes the output and $$x\left[ n \right]$$ denotes the input of a discrete-time system given by 69. A discrete real all pass system has a pole at $$z = 2\angle {30^ \circ };\,$$ it, therefore, 70. The discrete-time signal $$$x\left[n\right]\leftrightarrow X\left(z\right)={\textstyle\sum_{n=0}^\infty}\frac{3^n}{2+n}z

GATE EE 2006

MCQ (Single Correct Answer)

-0.6

The discrete-time signal $$$x\left[n\right]\leftrightarrow X\left(z\right)={\textstyle\sum_{n=0}^\infty}\frac{3^n}{2+n}z^{2n}$$$ where $$\leftrightarrow$$ denote a transform-pair relationship, is orthogonal to the signal