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Arpita
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Joined: 04Jan2007
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Quote Arpita Replybullet Topic: E&E GATE Sample paper
    Posted: 04Jan2007 at 5:35pm
1 The RMS value of the voltage u(t) =3 + 4cos (3t) is
Options
A)
Ö (17)
 V
B) 5 V
C) 7 V D) (3 + 2
Ö 2
) V

Correct Answer A

2

The open loop transfer function of a unity feed back control system is given as 

G(s) =

as + 1
s2 
  
The value of ‘a’ to give a phase margin of 45° is equal to

Options
A) 0.141  B) 0.441
C) 0.841  D) 1.141
 
Correct Answer C

3 The armature resistance of a permanent magnet dc motor is 0.8 W. At no load, the motor draws 1.5 A from a supply voltage of 25 V and runs at 1500 rpm. The efficiency of the motor while it is operating on load at 1500 rpm drawing a current of 3.5 A from the same source will be
Options
A) 48.0% B) 57.1%
C) 59.2% D) 88.8%


Correct Answer A

4 The solution of the first order differential equation x(t) = -3x(t), x (0) = x0 is
Options
A) x (t) = x0 e-3t  B) x (t) = x0 e-3 
C) x (t) = x0 e-1/3   D) x (t) = x0 e-1 


Correct Answer A

5 The unit impulse response of a second order under-damped system starting from rest is given by
c(t) = 12.5 e-6t sin 8 t,     t  0
The steady-state value of the unit step response of the system is equal to
Options
A) 0 B) 0.25
C) 0.5 D) 1.0
Correct Answer D

6

A single-phase, 230 V, 50 Hz, 4 pole, capacitor-start induction motor has the following stand-still impedances
Main winding Zm = 6.0 + j4.0 W 

 Auxiliary winding Za = 8.0 + j6.0 W 
The value of the starting capacitor required to produce 90° phase difference between the currents in the main and auxiliary windings will be

Options
A) 176.84 mF B) 187.24 mF
C) 265.26 m D) 280.86 mF


Correct Answer A

7

A single-phase half-controlled rectifier is driving a separately excited dc motor. The dc motor has a back emf constant of 0.5 V/rpm. The armature current is 5 A without any ripple. The armature resistance is 2W. The converter is working from a 280 V, single phase ac source with a firing angle of 80°. Under this operating condition, the speed of the motor will be

Options
A) 339 rpm B) 359 rpm
C) 366 rpm D) 386 rpm
 
Correct Answer C

8 The 8085 assembly language instruction that stores the content of H and L registers into the memory locations 2050H and 2051H, respectively, is
Options
A) SPHL 2050H  B) SPHL2051H
C) SHLD 2050H D) STAX 2050H


Correct Answer C

9 A 50 Hz, 4-pole, 500 MVA, 22 kV turbo-generator is delivering rated megavolt-amperes at 0.8 power factor. Suddenly a fault occurs reducing is electric power output by 40%. Neglect losses and assume constant power input to the shaft. The accelerating torque in the generator in MNm at the time of the fault will be
Options
A) 1.528  B) 1.018
C) 0.848  D) 0.509
E&E

Correct Answer A

10 The Nyquist plot of loop transfer function G(s) H(s) of a closed loop control system passes through the point (-1, j0) in the G(s) H(s) plane. The phase margin of the system is
Options
A) B) 45°
C) 90° D) 180°
    
Correct Answer D



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