ece202ex3sol

# ece202ex3sol - it tights r123 i Name v 3 l“ Student ED...

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Unformatted text preview: it. tights r123 i Name: v 3 l“ Student ED: ECE 202 EXAM 3 April 13, 2007 No textbooks, notes or HW solutions. Calculators are allowed. Exam is 50 minutes. To maximize your score on this exam, read the questions carefully and write legibly. For those problems that allow partial credit, show your work clearly. a Good luck. a 9 0 l. [25] Answer the following questions brieﬂy. a) For a circuit with impulse response Mt) = e‘z’uO), ﬁnd the output to the input x(t) = u(t) using the convglution integral. t: “ﬁe—rater; . ”2i ‘ at: , yitl :: v} Q ‘ alt: 7,; e, 3e ”L G o x r , . V 2‘ . W (l a _ €24,336 €93? ii: a avatygwt m; g i: .i... w Lawzi’E‘UK?) ‘ g” 0 - r21 «5:. .3 g £2. E b) For a RLC bandpass circuit, which element would you adjust (and by how much) to double the bandwidth without changing the center frequency? l u: J <3 Few: a} éi‘iﬁiu‘ml? ELLE @l’iﬂlt? {\$23 ergnLn “W K (L @e WW ‘1 2000(s + 200) (s + 1000)(s — 400) Whether the circuit is stable or not. Explain why. pews (at weer} {Ami unset; c) For a circuit with transfer function, T (s) z , determine Mei simple Sande net at! er We WWW art”. it“ drift? LHP. d) A voltage source of v(t) = 10 cos(lOOt) is applied to a lowpass ﬁlter with a transfer 100 S + 10 Hint: Use Bode diagrams to estimate the gain and the phase at the input ﬁequency. function T (S) = . Predict the output voltage v0 (If) . tee a mg i 6530's {a . em _ w w._.f.__. twat?) W tﬁw \.tmw a Tc (1)63}; 5%.} J Matthew aaimoiﬁigei) ”95% \" e) The ﬁrst three terms in the Fourier series expansion of a periodic signal is 8 8 8 l' =~—cos 100721 + cos 300721 + f() ”2 ( ) 9”; ( ) 257;; fundamental frequency in Hz. cos(500m‘) + .... Determine the meat : earls 2. [25] Given the following inverting ampliﬁer: a) [12] Find the transfer function, T (S) . b) [13] Find the output voltage, 112 (t) , when the input is v1(t) = u(t) . l 2am“- ~ r W ":1 ._ ‘ee ” 1‘ “Law...“ 53;“; ”ﬁle? :3 b?» w i” \ ”gamut? :3, t WWWWMWMWVW, got: i: .._ we we :5» .213 Km ti aeoyin3+ 20%;», E H353 X la :50 ﬁgﬁ i “9‘5 2 Wig : " .42 2t moo W t , ‘T—“itw l b} V?“ (5;) {is} {w EQQQ \ _ miéwfﬁﬁiiJ 3 3mm / ”C iii 31‘ "L ‘3) “.5, w kg 2; “2:; g 5850 k; r: o?“ 1000s (5 + lO)(s +100) for I T( j 60) l and A T (j 60) with respect to frequency. The magnitude plot should be in terms of st and the phase plot in terms of degrees. Label your axis carefully. Determine Whether this is a lowpass, highpass, bandpass or bandstop ﬁlter. 3. [25] Given the network function T (s) = , construct the Bode plot l 4. [25] For the following rectangular wave with amplitude 1 V and period 1 see: a) [5] Determine whether the signal has odd symmetry or even symmetry. b) [20] Determine the Fourier series coefﬁcients for this signal, i.e. ﬁnd expressions for ama b n7 M' or 0.53? 9““ Jiﬁi \$013}? £3273”. xiii? WCLZS “To. £324; :3 m? i is :to 5"“ “‘5 Q g amt “Magniﬁer, 3,13% t 2r; \$33.3“) “C2623 Skiirxﬁo ”0,2,? mﬁmiﬁé‘ﬁe‘) : QEewem—m w eaneetsmﬂ L: \$23“ mmesmﬂ @ﬁn \g i 6%“ M3 ...
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