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(A)
⎡1
− j
⎢⎣ 1+
j
1+
j⎤
1+
j⎥⎦
(B)
⎡ 1−
j
⎢⎣ −1+
j
1+
j⎤
1−
j⎥⎦
(C)
⎡1
+ j
⎢⎣ 1−
j
1+
j⎤
1−
j⎥⎦
(D)
⎡ 1−
j
⎢⎣ −1−
j
−1+
j⎤
1−
j ⎥⎦
Q.32 The circuit shown in the figure has initial current i L ( 0 ) = 1A
−
−
through the inductor and an initial voltage
υ C ( 0 ) = −1V
across the capacitor. For input υ ( t ) = u(
t)
, the Laplace transform of the current i (t)
for t > 0 is
(A)
s
2
s
(B)
+ s + 1
s
s + 2
2
+ s + 1
(C)
s
2
s −1
+ s + 1
(D)
s
s − 2
2
+ s + 1
Q.33 Consider the Bode magnitude plot shown in the given figure. The transfer function H(s) is
(A)
( s + 10)
( s + 1) ( s + 100)
(B)
10( s + 1)
( s + 10) ( s + 100)
(C)
( 1)
( +10 2 s +
s 10) ( s + 100)
(D)
10 3 ( s + 100)
( s + 1) ( s + 10)
Q.34 The transfer function
V0
( s)
H ( s)
= of an R-L-C circuit is given by
V ( s)
i
H ( s)
=
s
2
10
6
+ 20s
+ 10
The Quality factor (Q-factor) of this circuit is
(A) 25 (B) 50 (C) 100 (D) 5000
Q.35 For the circuit shown in the figure,the initial conditions are zero. Its transfer function H ( s)
= V ( s) / V ( s)
is
6
C
i
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