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Unformatted text preview: I ‘ Problem 1 1 .2 I
Determine the voltage transfer ction Vo(s)f\§ (s) as a function of s or the network shown in ﬁg 1311.1. 3':
. C
_ ' ' 1 L
Egg._;EZE;_ﬂ_ji_;___gg___  _ " 2 V5} £ —R+RSL+£ SLCR+SL+K
" R+._C__ SC c E16461: §¥3f$t5 / Problem 11.3 Datemains the voltage transfer function Vo(s)/Vc(s) as a flmction of s for the network
shown in ﬁg p11.3. ° 0
R1 “(0 V0“) L O—l—o Suggested Solution Va (R2 + SL) (R2 +SL)
76): R, = R
‘ — ( +SL)+ '—
(R2+SL)+ SC] R2 SCR.+1
RﬁE
=M=M
R2 +SCRIR2 +S’LCR1+SL+R, SILCRi +S(L+CRIR2)+RI + R;
R; _1._
= (S+L)(S+CRI)
1 R 12+)?
32 _ __2__ S l 2
+[R,C+L] + LCR, & L {W (S+L)(S+CR1) % 583+[1 +R2]S+R'+R9I
L § R Problem 1 1 .4 I Find the transfer impedance Vo{s)!ls(s) for the network shown in ﬁg 1 1.4. is(t)
2H 10:15 23+2 1
25+2+4+—
S
2
5;: 228 +23 ,Vo=4fmso E: s§(8+11
Is 25 +6S+l Is 23 +6SH 2W tsa§it98+ié Problem 1 1 .6 Draw the bode plot for the network ﬁmction. jw5+1 MW! igua w‘ggé .— 5. 0 9? M4 M‘EbuﬂO5 IIIIIIIIIIIIIIIIIEIII
IIIIIIIIII! IIIIIIIIII
IIIIIIIﬁIIIIIIIIIII
EEiiIIIIIIIIIIIIII “‘"IIIIIIIIIIIIIIIIII
Iilil "
IIIIIIJIIIIIIIIII —i‘ r94. ODD
—
= log magnitude (db) IIIIIIIIIIIIIIIi.! I .0050.1°2 ‘5 1 °° 1o {3'8 0.01 100 angular frequency (radlsec) Problem 11 .8 Draw the bode plot for the network function. 10(10jw+1) How): (100;w+1)(jw+1) Suggested Solution
H(jW) _ 10(10jw+1) ' (100jw+1)(jw+ 1)
Zeros: 0.1 rls Poles: 0.01 & 111’s HGw) = 10 = 20GB
60  I II I I I II I I l  _I
.. 40 II . _ _ #LLII
g" 20 . I II I _.—_ . “ I _ 3wmé/oac
Ezo _I_.. 0.: IJ_II ' .' n
2 40 l I.. _I II :_ L:
60 IIILJ ' .. _J 0.01 0.1 1 10 100 .
angular frequency (radlsec) Problem 11.13 Sketch the magnitude characteristic of the bode plot for the transfer function. 100019) HW) = (jw+1)(jw+]0)(jw+50) I Suggested Solutiou I a ,2 (M H ( jw)
. (jw+1)(j—w+1)(L;:41)
60 
4o lIlll!l
a I “II”.
u—r 20 i I'"
d:
g I 1 , i I _ 1 I
'E o . r. A I I——....__‘_‘ ———...;___
m 1 2 . . “I“.. % 0.; $3 w
a .
2  III I
40  I l
.50 "II II III IIII
0.01 ' 0.1 1 10 100
angular frequency (mdfsec) Problem 11.14 Draw the bode plot for the network function. 16 ”ka Suggested Solution 16 mm = (jw)2(jw2+1) ZEI'OS? none poles: [email protected], 0.5 Igé
also: l6=24.ldB 60 , 40 N
D r'o
o log magnitude (db)
0 .L
o ‘ll __
0.01 . 10 100
angular frequency (radlsec) .0335... 5:03.39: .5395 rod ow _______im__
____= i a .m
______+ . ___.—
Emu.“ ___—= o m.
. I _ L m
___ «1!...— LMM m
___ .5 m ___... a_ __ I a
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T+333nﬁé I. €1.39 3:— u «3:733; “A $3.. ...
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