final_solution_summer09

final_solution_summer09 - Page 1 Copy «Title ECE 202 s...

Info icon This preview shows pages 1–20. Sign up to view the full content.

View Full Document Right Arrow Icon
Image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 2
Image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 4
Image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 6
Image of page 7

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 8
Image of page 9

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 10
Image of page 11

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 12
Image of page 13

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 14
Image of page 15

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 16
Image of page 17

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 18
Image of page 19

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 20
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Page 1 Copy «Title» ECE 202 s mmmmm 2009 Name )0 (0% kW E {’1 ECE 202 Summer 2009 Final Exam 8/5/09 Problem Score .4 le‘i v a 61/83 /4 4’0:th w‘ 0 JS /0 :> 1 ”QM/35 '31 2 33¢) /30 A0 3 {(92 ( /35 1 g) 4 V704 /30 3 0 5 m /35 “'3 ‘1) 6 ”a M /35 3:: Total {04/200 ‘50 Page 2 Copy «Title» ECE 202 Summer 2009 Name Question 1: (5 Extra Credit Points) To get you started, here is a free problem. There will be NO partial credit. For the circuit below, VOW: g V R1 = R2 = 50 Vin: 10 V Page 3 Copy «Title» ECE 202 Summer 2009 Name Page 4 Copy «Title» ECE 202 Summer 2009 Name Question 1: (35 Points) For the circuit below, find: 1) vout(0) by the initial value theorem 2) vout(00) by the final value theorem 3) vout(t) given that vin(t) = 29‘“ R=SQ L=1H jimléll C=1/4F Vin E3 > [S'rlMS-M} M (6-H) ( Still (SW0 l imlhokl Vyxll/L: lira , lim ‘ ”(O J: g 7‘90“ (55 7: 4,490 [ékl)(%9liswg :2ij vi 1 fl .— l M [K p“ “I“ H 92) l m Value , 74w) 5 0 3‘ “l ‘ we lryllirizzilswll 2‘) z A _ 2m 51L C M~> Ay‘ +{3’(si)(Srl VM“ 5): 4m .f. 3+2 E311“ ., g e Hill/94453) « Ll gage-«l , A /a @ 5: 4 / B ’1 "’1 .M .515 C :1 Ll/ @ em l l 3 “A 3/3 “Ll LII/9 . f3 ”a: "26 Vl— _,__. " i“ f 2 '“ 0 (6l 3 ? 5m + 5%! 1“ 5M? 3._,E;M,.k__iéw' ~ Page 5 Copy «Title» ECE 202 Summer 2009 Name Page 6 Copy «Title» ECE 202 Summer 2009 Name Question 2: (304 Points) (a) For the pole—zero diagram below, draw out a bode diagram for the magnitude and frequency of H(s). On your diagram, label each point of interest (i.e. change of slope or zero crossing) with its magnitude and frequency. Assume K = 100 + j0. (b) Find the exact magnitude (in dB) and phase of H(s) at w = 3,000 rad/s. Label it on your plot. If your plot shows a different value, I will not take off extra. This will probably require a calculator. V Note: There is a double pole (two different poles) at w = 100 rad/s. l 105 10" 103 102 10 Page 7 Copy «Title» ECE 202 Summer 2009 Name Page 8 Copy «Title» ECE 202 Summer 2009 Name Question 3: (35 Points) Find: P05) H 1%) [r(t) + 2r(t — 2) — 4r(t — 3)] * [cos (t)[u(t) —— u(t —- 470]] - . , 41. ’ ' W ar we) :2 UL“ * WWW 35“ , 9/1" . 31:6]: U(£]‘+QU<‘I£’Q)” Hd({7’2) m; 5m + 2 5 (as/a) 4' §’ (#3) M . g] {LE :1 3205(6) 0mm; «SZLDSM UR’E‘LWM'L' ”0" t . _ UL . 3 o/flj cosHsMfi —- mint/w) Sum/C saw: 6 0 ‘ i A . ., : UM]E§]‘“Mj/” ._U ["é'q‘“’)[§ml£l]w 1"- 0(2) was) -4 M294?) amt) W Matt = §_:éin(tJ U {am ]:sm 4 35:“ w, : UM) 3:91;,(0 My ,. uMMvrr)Swéu’nwokt ”3 Minions [5]]: _, U UAW] {’C°5('5)3;V WESSM'ME 3:: u(—&)]:] wasm] ~ 0 [-évq‘n/XD ‘ 035(45):] _; *h; Nflwmm ”Ht/{(#2) I: U({7]~ COS/{:Uwu/quqy][i—mMH] , i“ 3 u [5’2] [1 was (é’ifl-flu [6-0-0]an was Zi—VQPI] ,, H u (m) [1 - u» (HEM 0m »2 «cm» D w}(‘é"3}] Page 9 Copy «Title» ECE 202 Summer 2009 Name Page 10 Copy «Title» ECE 202 Summer 2009 Name Question 4: (30 Points) Find H(s) and put it in its simplified form. Simplified form means that the highest power of ’s’ in the denominator has a coefficient of 1, and there are no sub— fractions with ’s’ in the denominator. This does not mean you have to do partial fractions. R1=10 R2=ZQ L1=3H L2=6H M=4H \/m: s. R\ + rat, i» lag/i4 “le: gag; it PM VM 3 {3 R21 ._.,. .. (Voul’fllngd v Vat/'4“ Vin: “ii (sLl Hm + {21(5/4') /ll - . S/Vl wig: i2; Page 11 Copy «Title» ECE 202 Summer 2009 Name Page 12 Copy «Title» ECE 202 Summer 2009 Name Question 5: (35 Points) Find the four z—parameters of the two—port circuit below‘ Page 13 Copy «Title» ECE 202 Summer 2009 Name Page 14 Copy «Title» ECE 202 Summer 2009 Name Question 6: (35 Points) Find the admittance parameters of the circuit below. R1=1/120 R2=1Q C=6F L=1/2H Page 15 Copy «Title» ECE 202 Summer 2009 Name Page 16 Copy «Title» ECE 202 Summer 2009 Name Page 17 Copy «Title» ECE 202 Summer 2009 Name Laplace Transform Pairs Item t L t =F 8 Number f( ) {f( )} ( ) 1 K60) K K 2 Ku(t)or K — S 1 3 W) :2 n! 4 tnuOf) Sn+1 1 5 e“atu(t) + 5 a 1 6 te‘atu(t) {3 + a)2 n! 7 t”e‘atu(t) _——(s + a)”+1 a) 8 sin(wt) u(t) 52 + wz s 9 cos(wt) u(t) $2 + wz a) 10 e"at sin(wt) u(t) (S + 602 + wz _at s + a 11 e cos(wt) u(t) (S + £02 + «)2 _ Zws 12 tsm(wt) u(t) (52 + (MY 2 __ wz 13 t cos(wt) u(t) (gm)? 5 ' + 14 sin(wt + go) u<t> ~———-Slnq; + ZEN s s — s'n 15 c05(wt + 90) MO MS CO (5+ (021 <0 5 a) 16 e‘at[sin(a)t) — wt cos(wt)]u(t) 2w3 [(5 + a)2 + w2]2 _at _ s + a 17 te sm(wt)u(t) 2a) ES- _|_ a)2 + (0212 C _ C a C S + C 18 e‘at [C1 cos(a)t) + (—-—*2 1 )SiHth)] ”(0 m B A +jB A ~jB 19 2 2 —at _ —1(_)] ———-—— + —‘—’—. Zx/A +Be cos[a)t tan A MD s+a+jw 3+a—jw B A +jB A —jB 20 r—2 — 1—)} + 2 A + B te cos [out tan A u(t) (5 + a +jw)2 (s + a —ja))2 Page 18 Copy «Title» ECE 202 Summer 2009 Name Laplace Properties Preperty 4 fit) L{f(t)}=F(5) Linearity alflit) 4:“ agfgfif} 0.313(5) + €13Fg(3) Time Sh§ft fit « T)u.{r —— T) e‘STms) Mu: tipiicafion + - 3 .. i ‘ I :35” ff (but) — —P {3) Muit piication _ x . Szi’ifis) { 2m W0) (—1)“ 053,, Frequemcy SM”: emtflt) 3' (s i; a) Time {I * q _. Differentiation Effi) S5 (3) _ M9 > Second-owe: dszt} 2 _. m _. Differentiation L dig S 1W5) ~Sf0_f\ 4:0 3 nth-order d”f(t) 1 e _ _ _,. if \ _ _. _. Differentiation din SLHS) "Sn lfw )— Sn £1“sz )" _ffl {(0 ) ”(3" ‘ .. 1mm fzqydq Fe) + Lee Md? Tame s 3 integration w V F(g) j: IQMQ T Time or 1 s Requency {Car} ~F (_) a a Seeding Page 19 Copy «Title» ECE 202 Summer 2009 Name gifiiifzfigfimc . EiLlélim-Liritnt Cia‘witi {m 3kg}; Q; {ij :1» if; mu! {13K :2» {in} sand :10 Mthm I: 1 i [5! £154} mi; [ {Zil'iggiiméiiérmit 332;“ 1m] 1331?. {Simxii at www ..~¢. ‘. .0 {Eli} mm». mW-kWWAww/r Page 20 Copy «Title» ECE 202 Summer 2009 Name ...
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern