EE153exam1sum2006

EE153exam1sum2006 - Name Keg Sum 2.00 EE 153 mum b Exam#1...

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Unformatted text preview: Name: Keg ! Sum 2.00 EE 153 mum b Exam #1 100 pts Show all work, Provide unis to all answers and make legible. 1. Find the Thévenin and Norton Equivalent Circuits. -j2 ohms 50 ohms K'LL'. "QM-105+ V” iv Y T O l001ab”1a‘o 1 \lab ragjié : O ,4.- J (Cin~ \a-E’J)Iqb 1'0. 9%Val: Find 16C: 115C: Egg: IDLE: : 401.3% ,.__ Lb sat-2gb 3" 0'035 gab; [Qt-2,: CW “9“?) — 50+5‘iéjn _.--'—’_-_-——_-_-“ mp , ~' O'Q‘b“ 159613353 MsMD 012514 (3) [email protected] 2. Write a set of mesh current equations for the circuit and place them in matrix form. 1° 142002 T. : 15 T1: —- 41x .L, T 0 8433+ fL’IEH‘ (IJ’I4)R5 + (1—3—19)de J a. ~.L« r waui‘Q‘ + (85+?4 Lqungerﬁlbe “W514: 0 (14—1239” (14-15395 «v3 + 149wL23:O -: V5 ‘ ”2212 W P513 + (Ez+Qa+Ju)La)—£4 3. For the following circuit and inputs determine v0(t) using Superposition. Vs1 (t) v51(t)=10cos(103t) V v52(t)=5008(104t V is(t)=200cos(10t)mA (330 + “0,330“ (3‘ ) : (29.53 H j G) Frecﬁu‘nca Lo: 1543 — ’ (51‘) 5') 5 ngv - u , d _ 29. 3509 -9559 5 Jr W ' 353—33 V0,: Kw 5&9: =2)wa ———--"" too-31.04 4 o) \/ Lam = 5.0m» (10:: ﬂ 0le 755.3 rl-S" v V01 : V01; ‘\’ V017— %ZC+)= 3.3 505 (1032+ _. 1-3”) V V021; 0.3123. (1.91531?) '— 0.33 [:33 V \WSC+):5605(/04»—0.é°) + 3.3 weCHPtv-IE") V __.__ _‘__.___,_,___..,_.. 4. Write a set of node voltage equations and solve for the phasor values of the outputs. For co=1007t, write V3 as V3(t). ~j1DU ohms 34200»? SUohms nch® gag/1+ ﬂ+3vx+ Vito ,Vx=\1."/1 20 1‘60 5 Gosh/0.05% + 303W? jo‘ot V3 + aV'—a\/2, + 0. 9311—10 '1.95 v. + (—WS mooovl *~ (—3043wa = O NW© ‘Q‘JK + V3~V2 + V3 + V3 : O vQWOO Q20 90 =0 . _'o.os‘( + moi—‘13 9V1~3V. + 30.0\\)3 ’JO.O\ V2. J 3 - = O '3Vn + (330.0% + (0.02 —o.o4*JW5 smwm v,: 20° (—1.75+J~o.otwl jam v3 = ~385L,’ (23' 0'0! W2 + (0.02jo.04\\(5= (012.9, 200 rlI7S+JOoD\ ~L’JO-Ol R/Z]_[—E‘8i:D/ﬁ] 3 ”Q 0.0! 001—3004 \/5 (o L../ \ 5. a) Find the transfer ﬁmction deﬁned by the output voltage over the input voltage, Ham). 1 lij b) The driving-point impedance of a network is Z0co)=50+j10 Q. What are the resistance, reactance, conductance, and susceptance of this Y('u>)~ _‘~ network? resigkmce __ 500— J i Z50) Veadance = \00- = 0.0; iii) Cohduchn u = o. 02 S : 0.01 «5 0004 S 3,50,7an = - 0.004 5 Is the network inductive, resistive, or capacitive? Why? ‘lﬂdutﬁvé 3 ‘Wm Qvgwi At this frequency, what two components (and their values) could be used to model the network? Does this simple model work for other frequencies? Why or why not? \0 ‘UQL:‘\O 50\$ hon J J W :L)‘ L9 c) Write the time domain ODE if the transfer function shown is an Impedance Value: H (s) = 2—S+2—. = 1/. s + 3s +10 I Qw+ll>I : (LJwVJr ngmrio) \/ ...
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