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Neha Agarwal
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Joined: 04Jan2007
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Quote Neha Agarwal Replybullet Topic: Signals and Systems sample questions GATE Exam
    Posted: 09Jan2007 at 6:31pm


Que. 1 A driving point impedance Z(s)=V(s)/I(s)=s+1/s+2. the system is initally 
at rest for a voltage a signal at unit step, the current i(t) through 
Z is given by
A
1-e^-r
B
2-e^-r
C
2-2e^-r
D
1/2e^-r

Que. 2
For the random variable x following the probality density function p(x) shows in fig. the mean and the variance are respectively
                              ^
                              |  P(x)
                              |
     1/4     _____|___________
    |    |    |           |
                         |    |           |       
                      ___|____|___________|_______ x
                         -1   0           3   ---->    
A
1/2 and 2/3
B
1 and 4/3
C
1 and 2/3
D
2 and 4/3

Que. 3
If R is the source resistance the output resistance of an emittor follower 
using the           s simplified hybrid model would be
A
h(ie)+R(s) /1+h(fe)
B
h(ie)  +R(s) /h(fe)
C
R(s) +1/h(fe)
D
1/h(fe)

Que. 4
A unit feedback system has an open-loop transfer function of          
            G(s)=1000/s(s+10)^2               the magnitude of G(jw) in 
the DB at an angular frequency at w= 20 red/sec
A
0dB
B
10dB
C
20dB
D
none of the above

Que. 5
A linear discreate time system has the characteristic equation Z^3-0.81Z=0.the 
system
A
is stable
B
is marginally stable
C
is unstable
D
stability can not be assessed from the given information

f
Que
6.
H(s)=V(s)/I(s) = s+3/(s+3)^2  .i(t) is unit step.V(t) 
is steady state is given by
A
3/2
B
3/4
C
1
D
0

Que 7.
In case of synchro error dector,the electrical zreo position of control 
transformer is obtained when angular displacement between rotors is
A
0
B
45degree
C
90degree
D
180degree

Que. 8
A second order differential equation is given by                      
 d^2x/dt^2+5dx/dt+7x=7y The undamped natural freq. and damping ratio are
A
1,5
B
5,7
C
1,[(sqrt)7]
D
[(sqrt)7],0.94

Que. 9
An amplifier has a bandwidth of 20khz and a midband gain of 50 without 
feedback.If a -ve feedback of 1% is applied.then bandwidth with feedback 
is
A
13.3khz
B
30khz
C
10khz
D
40khz

Que. 10
A unity feedback system has the plan transfer function              Gp 
(s)=1/[(s+1)(2s+1) ] an integral controller with transfer function G  
(s)=k/s is placed in the feedforward path the of the feedback system. 
the value of k such that the compensated system has an open loop gain 
margin of 2.5
A
3/5
B
5/3
C
2
D
none of the above



Edited by Neha Agarwal - 09Jan2007 at 6:33pm



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