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Summer_06_-_Exams_-_Midterm_01

# Summer_06_-_Exams_-_Midterm_01 - i(15 points For the...

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Unformatted text preview: i. (15 points) For the circuit shown: 2(3) —> / 21) Find the input impedance 2(5) b": What are the feasible conditions on “M” to make the impedance 2(5) = 2L 13 + R ? m 1(3) Me 1ng =§ my ear \Jts E ﬂu —M ~1 erts ~r 6 1b) étﬂltg) / M: L144 : W° GD #1 _ ~— 4 O’C‘r ogM : Li”. a \ILrLL‘ BOB-3304, midterm #1 page 2 July 24. 3006 2. {20 m3) Given the transfer function His) Where the input is X(s) and the output is Y(s). H(s) == 4 (34—20) “(SAW 32+IUS 21) Draw the pole—zero diagram for the transfer function and use the diagram to Show how to get H(jcu). _ ‘0) Using the pole-zero diagram, find the steady~state response yssft) to the “ LﬁgiZO) H LHSJCZO) Z: q inputsignal x(t)=55i11(20t+65a). 0‘) W3)- 311’ \03 % S[S~HD) W: hogan?” Pale-s: a, = ZOJ’Z‘ an 4.2: 4% = mg) = {+5-- zéii (.91 r— M 0??) = éésnim“ ECE—5304. midterm #1 page 3. July 24. 2006 [Ell _ I7" I71? _ it ' 7 L 3. (25 pts) The following two port circuit contains a dependent voltage source: ‘1‘ I722, U. UL <-I2 IﬁAJHUﬁ AQQVZ I)": F31] U! “‘1 Wu V?— Find the short circuit admittance matrix, Y5C(s), where the vector-matrix equation is Mb: YSC(s)V(s) ! # I I U17“ \1 (‘ \1 (60 ~59 7' :1 L ‘ + i ' ' = . \ ECE~3304, midterm #1 page 4 July 24, 2006 Problem 4. (40 pts) For the circuit below, the switch has been closed for a long time and at t=0, it suddenly opens. R1=lohm R2=4ohms L1=1henry L2=5henry E = 18 volts C = 1 farad a) Draw the transform circuit after the switch 0 \l C (O) CH Vb“ “ C ' _ I Pens' . E x' : .1 A b) Write a srngle expressron for current 10(5). ‘ JQ) 7— Tﬁ’ﬁ: “I Z c) Using 10(3), find i0(t=0+) and io(t:oo); '1.e. do not use 10(t) to get i0(0+) and i0(t=°o). d) Take the inverse Laplace Transform of 10(5) to find and sketch i0(t) for ~1 < t < co e) Find and sketch szUz) ‘0) 14S) 3 pg: (L1 4 Udb) .L. 4 3L; «ﬁt—«ﬁsts at r“ “5 its 2 (1303 : 535: 4 .3. : \ +S++Li 5 é5+g+ﬁg ._ 1/ [gisﬁg : Igé ‘16?“ +103 +2 — W551»; Beg L‘s; »- . C Home JIM 1 : _ ‘ - ~ 0"“ si (Si-'9'” We 1‘12 they 12 53—300 _ Dﬂ 31-03— g. _ @ E A nix _—_ [km s Jam Lt-S 514%; a M Ur OOUZS—bij \$149). \$935 mm ’2: EOE—3304, midterm it! page 5 July 24, 2006 ...
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Summer_06_-_Exams_-_Midterm_01 - i(15 points For the...

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