fa2004_exam1soln

# fa2004_exam1soln - l ‘ Fall 2004 ECE 210/211 Analog...

This preview shows pages 1–5. Sign up to view the full content.

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

View Full Document

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: l / * ‘- Fall 2004 ECE 210/211 Analog Signal Processing University of Illinois Basar, Hasegawa-Johnson, Mitofsky t Exam 1 Thursday, September 30, 2004 —— 7:00-8:15 PM rk if necessary. All answers should include work. Backs of pages may be used for scratch wo units wherever appropriate. I Good luck! Probleml ProblemZ Problem 3 Problem4 Problem 1 (8 points each) a) Place dots in the complex plane corresponding to the following complex numbers. 1. 2e]? J Im Im / Ar/xz‘dﬁo 19 l’Vq’ (VT’ﬂ'E’v /\' '4 ('1, 1V sréﬁr’HD‘ 0.59 ( 3 )V1+( ’l )V2=( l' ) (/1 >v1+< Ll>v2=( \ > _ c) Write, but do not solve, two loop equations’that could be solved in order to find numerical values for the currents i1 and i2. 2 ;I , 3+4). +3(;,‘.1>t7=0 “3:. +‘4iy/7t3(L"-):O m, ’3 '1'” ’“l '"(0" P7;1-; 7 3 V 3i1 (H )il+(-3 )iz=(w" > (cwil+(7 )i2=(7 ) Problem 2 (25 points) a) In the circuit shown, find the node voltage v1 and the current i1. , 5r, maize ’r (I " 4 ‘* ‘ ‘ "1 i‘i‘n’ «mine and {\$131 fit} ' »; .LI/‘MV’a-VZ)” “‘0 r, 20,131; Hog: /\r “Fag-Pic) Z ‘5 7 O /"' -\' )ro ’V: :0 V: l v: = ‘i no :‘6 ,V/ +HW—VWZO ‘ 9 L V’» 5“— P : K7: (10,8) ‘3’ 25" R "f 2 H x ’ L P29: W ’?V? p ,v‘,(/0*83,'i y '4 xv: Hwy/:20 55» 7x" ’ 5 3 Pm=—s—_/ W Problem 3 (26 points) a) Find the Thevenin equivalent circuit to the left of a and b. b) The inductor shown below carries a current i(t) of 3 A at t = 0. Determine and plot i(t) versus t for t > 0 if the inductor voltage v(t) for t > 0 is shown. v(t) L=2H —) i(t) _!Y\N'\_ + «0' £0 153/? a” 7’ O rot +3 t/sec ifiii’o ’ ((r) 4-} I<L<L 15bq9W+i03 '1— ’ .- LE’WfH Problem 4 (25 points) The switch is open t < O; at the time t = 0 the switch is closed and remains closed thereafter. T13: , I 2 \C H 2— ‘4 = capacitor is initially uncharged. q ’1'; + ,’\C* Eﬁﬁo V; ‘1 " ‘4 ‘ ' v: + X :0 a) What is i(O‘)? Show your work. , v’ , V1,) : - __ q ‘L aw — r “7f” 'f V: ' .ii‘ "L b b) What is i(O“)? Show your work. gawk/h ddsas at 670+ Ll,V-; 7 + 7/ . f 1’. W \l’o/hje O'CGJS‘J Cé‘ﬂacrb( '1 V’V, V, 60,-“ cheay, :AsW bf/ VT’ZC’ ﬂ: 0/”"'1." if \ r at “0’ W MW“; e, ; 5v: 3cm ;,§ “‘6 (Jacket-Ya) 5° at {’50 1”, 55 ) 7’ r70 0 \ c) What is i(oo)= lim i(t)? A -®H r v '0de t—->o° /" A ’ e70 Carib/war) «55¢» ﬂaw; + i; ‘_ dyad, '1 ll n’LQ’VzV‘p’Naso 1’ a; if": 3"— K/VZWLN‘Vw 32°70 V_ 6 r ab (“ind/O U" ‘3 5 C :9? u E~® G ’ ._ -‘f K: s We, . mew»:ch Law: M; a» b"? _ m(1,5+23k*'l-l~’°&10 d) What is the time constant tau (1:) for the systeIHt > 0? q '06 To l‘ a, v a ’f I, /“ I ‘10 6 ' V; JC “4!; I II ' ’50 , . h"; A e I 5 Ih+\f ‘ (I trib / , .: amok” 1 2 e) Express i(t) fort>0. u (o); g) ...
View Full Document

{[ snackBarMessage ]}

### Page1 / 5

fa2004_exam1soln - l ‘ Fall 2004 ECE 210/211 Analog...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online