GATE EE 2006 | GATE EE Year Wise Previous Years Questions

GATE EE

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

GATE EE 2006

MCQ (Single Correct Answer)

-0.3

$$x(t)$$ is a real valued function of a real variable with period $$T.$$ Its trigonometric. Fourier Series expansion contains no terms of frequency
$$\omega = 2\pi \left( {2k} \right)/T;\,\,k = 1,2,........$$ Also, no sine terms are present. Then $$x(t)$$ satisfies the equation

$$x\left( t \right) = - x\left( {t - T} \right)$$

$$x\left( t \right) = x\left( {T - t} \right) = - x\left( { - t} \right)$$

$$x\left( t \right) = x\left( {T - t} \right) = - x\left( {t - T/2} \right)$$

$$x\left( t \right) = x\left( {t - T} \right) = - x\left( {t - T/2} \right)$$

GATE EE Papers

2023