Symbolic Expression - Introduction to Microelectronic Circuits - Solved Exam, Exams of Microelectronic Circuits

Download Symbolic Expression - Introduction to Microelectronic Circuits - Solved Exam and more Exams Microelectronic Circuits in PDF only on Docsity! Fall 2011 EE 40 Midterm 2 NAME: : Se litton SSID: fnstructions Read all of the instructions and all of the questions before beginning the exam. There are 4 problems in this exam. The total score is 100 points. Points are given next to each problem to help you allocate time. Do not spend all your time on one problem. Unless otherwise noted ona particular problem, you must show your work in the space provided, on the back of the exam pages or in the extra pages provided at the back of the exam, Simply providing answers will only result in partial credit, even if the answers are correct. Draw a BOX or a CIRCLE around your answers to each problem. Be sure to provide units where necessary. GOOD LUCK! | PROBLEM | POINTS | MAX 1 15 2 25 3 40 4 20 “Pessimism is just an ugly word for pattern recognition.” -Anonymous Problem 1 Quickie (12.5 points) a) In the box below, provide a symbolic expression for vg for t > 0 if v(0) =4V. Cc | I +p = b) Using whatever methad you like (yes, anything, don’t raise your hand to ask if you can use RS, provide a symbolic expression for the voltage Vo(t) for t > Oin the BOX BELOW. (17.5 points) - Rethet BE (Att) = ~Rk © “ (v) Zoo. 4 CF Rog * Rit RR Vto* ) = — Rs Vis] = o “% c} Using the values provided in the figure, provide an expression for the voltage Vo(t) for t > 0 in the BOX BELOW. (2.5 points) = 18x fo°e oct: — Foo @ cv) tre. Rk; = 9o00 . Ly fomy ——_—-——___, a . Rit hts ~ 3keéke ge 2 FR “Accept that some days you are the pigeon, and some days you are the statue.” -David Brent, The Office Problem 3 Second order circuits (40 paints) Consider the circuit below. 6KO t=1 ps . WW—7¥ 4 = L Rs C R1 18 mH 1 t) = MA 1 nF R2 9kQ a) Find the second order differential equation for the variable i, that describes the circuit behavior for t > 1 Hs. Write into the box below. (15 points) a thet Re te) Set OR Red = Ee kee Ais oe My Bee © Vr = oe + tk Ry @ O- 0 BE bike se Boca ti ele k 24 Pek Se CB act hy at Be baryg = ob a ~ Ge eth he bh 4. ke d) Assuming R1 = 9000 O, provide a complete expression for i,(t) for t > 1 Ls. {15 points) ~ BrloY(e- tay ! Aye) : 4 #@ [ sy os € Mf (t-1an) ~ a Fin (By lohenbs)] mA From b- ot Ctaxb) ree - 2 xm! Wo = Asie lo? = FB ent ZR aa 2 KF fy . at wor = lige ~ ma <4 ett Uncla hams ech bool = dws -o = = | OR Xfo” = ae K fo® i Hex te fe ie) = I > be Akyte) = kt =p mA, ert} = As wt tay) y+ €e 1 ORME ba) th on uate tJ | Bs - 4 Zr /o°3 | io (v=) z ay ¥fo | v ‘ Ba = Auto) + ot Fico) = ete J ~ Bebe «hn i? 4 Oo ns Ee look & tlt ° xh 7 i “4d know they were just kids...but man we beat the f8%! out of them!” - Dogma Problem 4 Phasors (20 points) if 4, = 5 cos(10¢ +40") A in the cirouit below, find Ay 4 Q 3Q cos fot t FS°) A . ofa 4olt) F 14 i . Ss e gt 2: Lo 2, » Zo: to of ° To. ET we ot OS _ a f 34 x , ~ to ed 20 = 2h é Pes? _ 14 2 . . 84 44 4 tag 34 xp 4 x) Sra & Bye ce Fe &] + lap oy S7+F 5 ase e? HM pise® 2 for extre work 0,1 | 0.099668652 | 5.710593137 0.2} 0.19739556 | 11.30993247 0.3 | 0.291456794 | 16.69924423 0.4 | 0.380506377 | 21.80140949 0.5 | 0.463647609 | 26.56505118 1 | 0.785398163 45 1.5 | 0.982793723 | 56.30993247 2 | 4.107148718 | 63.43494882 3 | 1.249045772 | 71.56505118 4 | 1325817664 | 75.96375653 § | 1373400767 | 78.69006753 6 | 1.405647649 | 80.53767779 100 | 1.56079666 | 89.4270613