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ece202F07Exam3Soln - ECE 202 Circuits and Systems ll Fall...

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Unformatted text preview: ECE 202 Circuits and Systems ll Fall 2007 Examination iii November 16, 2007 Problem Points Score 1 21 ' i 2 19 g C; You have 50 minutes to complete this examination. This exam has 4 problems and a total of 8 pages. Please write your name in the space provided on each page. Please draw a box around to clearly indicate each answer. You must show your work to receive full or partial credit (where applicable). Some questions may have little or no partial credit. Please, please, please check and double-check your work and calculations]! All answers must have units where appropriate, and be in proper engineering notation. wmm‘kmwgrmafv «em».mnmmwmm “WWW mwwvm 1%‘3’mmv'Wmm<m-mw‘wtmv/verVfl'wmwwwWmi'éxwmuwxmumwmmm9aRammm i Name: ‘ gm ”’ 1. [‘34 pts] Answer the following questions: i (a) [:3] For a series RLC bandpass filter, which element would you adjust, and by how much, to double the bandwidth without changing the center frequency? (J) a: if t"??? k3,.) gm am (“a 5‘ Q 7’” s+1 (b) [. V] For a system With transfer function H(S) = m , determine whether this system is stable or not. Explain why. 2 (s+3)(s+1) of the circuit due to a time-domain unit step input? (c) pts] For the transfer function H(S) = , what is the Laplace domain response, G(s), . /‘_,_1N_.,N,,WWmyAmmwwmm Page10f8 i i i g E E: E i s Ergygi gifivuéiay i . é g§§f$ i a 5 , 3‘ E73,»: 3 r 3% t e L r 5;, u e gnaw 1 p 2? S m p u m .Wo S F 0 a n 2 3/K H. m is, . ,, u .l 2% C W .W I \ M m m \> h M M, u .T. V; a r. m 0 rm 0 A: 213 S t x t 2 .m H x) w k d m J . . O ,3 5.1432?“ G B m M ‘ O N w t n M M W A? m e m < 8 e U D. w W m n 0. w W r f e m m 5 my ab :1 i M r ‘I- u e m u m A My w W a M. ) P s n 1 W 5a u a Mm V e C U as , , 3a b S a” Krééiiiég m: 5 m u t O a 5 E a f h Q A Q t : w e L .I d w n g .B a a 0 Q n O a, E 5 w; C : 13m H R him a F, . m n m a e e 0 d t 2 a 35% .fl : C e W C .0 MM. 393 , a« my? a 3.1 as a», l Name: _ % 3. [30 pts] For the waveform in Figure 1: figure 2 Waveform for Probiem 3 (a) [6 pts] Identify all symmetry properties forflt). Briefly explain your reasoning. (b) [24 pts] Find the Fourier series representation offlt) in closed form (i.e., the expression offlt} should use the summation symbol and contain no “0,,”5, ”b,,”s or ellipsis "..."). zvxxwgmu mm“ 1 mmmmw W mammmm. m w «K w «3,. a. .mxnmmwszw wxmwnwm‘ Page 4of 8 g l l 3 ik§¢x2§1<§§x§§§§$§§z§§ wk; .e. m a N FEEEK 8 f O 5 e g a D. 55.23531» mng b g AU». 4/ MW :52: , w r E as m M /_.K« >1 K m «wt W \ a» x .5» a, «W E ya ya w a: mil/M W;,@ i _ re» 1.33 Maw W; W A. a m m 3. Cont'd (work space) Name: M" 4. [30 pts] For the RC circuit in Figure 3(b), the response v0(t) is due to the excitation shown in Figure 3(a). (Note: there are 3 parts to this problem; part (c) is on the next page) (a) Figure 3 lngmt signai {a} ano‘ circuit diagram in} for i’rohiem 4; (a) [10] Draw and fully label the Laplace domain circuit diagram. , » @gyfiwasi’xnwfigfié WW W-WV g ang 2a,: mam .mawa-smwwamleww (c) [This part is on the next page] fiawwmwwm, flfifiifiwme,mwm«w«ma«ewwww F2 xfiigggpéb _ 3,. , 2x???3i§§§3§$§§F+F a? m as r; , a; s m 5E w A w 345 32?? .53 mm s M 5.? ‘ Name: 8 f O a... e Ob a D: 4 (c) [J é pts] Using convolution integrais, find the zero—state response for t > O. _;_,._2_,§i{fig}:(1.3;?sfiafiéasiEggsfivfiffibgénigaificeairfiiaifi,,ixkaa12a?§%3§ifl;§§;§§§§§§§ ,fiqwézov‘ygx£5,333:aaszaézgiifié.55?“5?.«éaxfi?§§2§iii?Eggfir§$¢fixéfingéfiififiwfifikfigg, éfia§$¢§§b§§§§$g gififiayfiiacifi43.35:;:34?2;:isfififiaz.9225"! , , .a:€§3.§.2§ as: A a”? Name: u. 5, , 2%} Page 8 of 8 4°Cont’d (work space) ...
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