Frequency Response Worksheet Page 3
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1
2
314.10) a)
f
= 636.62 Hz
c
jw
b)
H(jw)
=
4000
jw
H(jw
) = H(j4000) = 0.7071 / 45
c
H(j0.2w
) = H(j800) = 0.1961 / 78.69
c
H(j5w
) = H(j20,000) = 0.9806 / 11.31
c
14.19) B = 1.99 kHz,
f
= 9.01 kHz,
f
= 7.02 kHz
c1
c2
14.22) a)
w
= 100 krad/s
o
b)
f
= 15.9 kHz
o
c)
Q = 8
d)
w
= 93.95 krad/s
c1
e)
f
= 14.95 kHz
c1
f)
w
= 106.45 krad/s
c2
g)
f
= 16.94 kHz
c2
h)
B = 12.5 krad/s or 1.99 kHz
14.25) a)
f
= 3978.87 kHz
o
b)
Q = 5
c)
f
= 3.60 kHz
c1
d)
f
= 4.40 kHz
c2
e)
B = 795.77 Hz
C
1
1
-
R
-
C
s
+
2
1
15.2) a)
b)
H(j0)
=
c)
H(j
)
=
C
R
C
2
1
1
H(s)
=
R
C
1
1
2
s
+
R
C
2
2
1
s
15.3) a)
b)
c)
R
C
1
2
H(s)
=
1
1
s
+
s
+
R
C
R
C
1
1
2
2
15.22) L’ = 200 mH, i
-2500t
(t) = [10 - 10e
cos(2500t)]u(t) mA
o
15.24) R’ = 2546.48 , L’ = 253.3 uH, w
= 1180.6 krad/s, w
= 1337.7 krad/s,
C1
C2
B = 157.1 krad/s
R = 10, L = 2.5 mH, C = 1 µF
5)
a)
R = 4, L = 2.5 mH, C = 2.5 µF
b)
c)
R = 1000, L = 250 mH, C = 10 nF
3
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