Ch+11+solutions

Ch+11+solutions - I ‘ Problem 1 1.2 I Determine the...

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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 Date-mains 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 +6S-H 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‘Ebufl-O5 IIIIIIIIIIIIIIIIIEIII IIIIIIIIII! IIIIIIIIII IIIIIIIfiIIIIIIIIIII EEiiIIIIIIIIIIIIII “‘"IIIIIIIIIIIIIIIIII Iilil " IIIIII-JIIIIIIIIII —i‘ r94. ODD — = log magnitude (db) IIIIIIIIIIIIIIIi.!| I .0-050.1°-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 E-zo _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 l|||Illl|!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 III||I 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 -|-!¢--W|\hw.w\| $3 1331. :l “:3”? o§:-§p$¢3©~i§§mh m+3wm +mfimuw wad...“ . M~+3.wl.lm .Im +qfit$vgow1 M&+3mo.m+q9uo% 3w T+333nfié I. €1.39 3:— u «3:733; “A $3.. ...
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