HW1 Sol

HW1 Sol - C jar ’3 Airbm Hre KirckkoH/j CU‘WIM 1 jar...

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Sol 4)
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Unformatted text preview: C) jar) ’3 Airbm Hre KirckkoH/j CU‘WIM' 1%) jar): ‘XR(*)*A‘C(+) : (9J1 ~—o .(o¢,£)€hlgm‘L +— (r- 0.045’5‘1LO‘83) e :(40 €#lc>o% H (yeawih) ir>0 ’__________________+___fi_ . f r Flop? Q3) 0‘) imr) ‘? STE-F ‘ ' 7:" £9“; fltvresyonre 0'? a 56?”:‘55 ‘P‘rc Ora/"+- Afyivs'f; we “€54” '5 figure, oouL ‘Hv: blfe We “Hit C MW R A f __ 0\ "‘ :1: 3 fl: wbl : -—-——- t: " ‘3“ ) LC b4 : wclflql :1 )— Uv) O l K 1.. ’(LJZ + ( 31/605194 f 4— B;/SMW$) 1L3? LOWCL is +1112, find value: QR?“ iLGr) #0:” 1’6 €-€Vo LeCowLS-C ’H'le, Cafymcc'+c>r L91.“ Le OFQIA cfer’ aim; “hanger/1:} ‘HMC, A‘Jk) :: a"? ([3,[o;;,+ +8; swam?) Beau/Lie o—E Jrlxe; QLWWESHC or? [anL came/13%“ § M(v-:P')A ) [pg [an jPanel :uHEM (omiffiovxs MC?— jL (5)50 ) \/C (o) :{cfl/ AM 81 Bl aura dew/mind 'Hfi hmf’rt‘a! ) (5144‘ng TkiS ‘HNE +030 Ss/MUHAVIQAE QW-Hmng 0W8 XLG) :_ 1% + 81 r; 0 fi_® 5%” a? LE: ) B‘ :0 JILL”) VLCD) H. ~ WA Blflopgl :T~® (chem 61(9) 17% :: g‘m ‘l—yl" 1‘ng MM $19, New , m. 3%: 039376 1 1,124 J 2&93é Sol 4) The key will be to coordinate the decay dictated by a. and the oscillation period determined by (ad {and hence partially by or). One possible solution of many: Arbitrarily set (9d = 2n rad-"s. We want a capacitor voltage rdr‘) = 9'“ (A cos 2m + B sin 2m). If we go ahead and decide to set 1-c-(0') = 0. then we can force A = 0 and simplify some of our algebra. Thus. i'c-(t) = B e'w sin 2m. This function has max-"min at r” = 0.25 s. 0.75 s. 1.25 s. etc. Designing so that there is no strong damping for several seconds. we pick 0. = 0.5 s"1 Choosing a series RLC circuit. this now establishes the following: REEL = 0.5 so R = L and | ,- 2- | 1. r .l \ I 1 '(00' - — = 39.731‘ad.-'s = — (9d 2 I ‘ l 2, LC Arbitrarily selecting R = l (2. we find that L = 1 H and C = 25.17r 1111:. We need the first peak to be at least 5 V. Designing for B = '10 we need tL(O+) = 2It(25.1?'- 10'3)(lO) = 1.58 A. ...
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This note was uploaded on 06/13/2009 for the course EE EE 110 taught by Professor Gupta during the Spring '09 term at UCLA.

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HW1 Sol - C jar ’3 Airbm Hre KirckkoH/j CU‘WIM 1 jar...

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