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MT2+Solution

# MT2+Solution - Fall 2011 EE 40 ‘ Midterm 2 NAME L283 W...

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Unformatted text preview: Fall 2011 EE 40 ‘ Midterm 2 NAME: L283 W SSlD: Instructions Read all of the instructions and all of the questions before beginning the exam. Draw 3 BOX or a CIRCLE around your answers to each problem. Be sure to provide units where necessary. GOOD LUCK! "Pessimism is just an ugly word for pattern recognition.” -Anonymous Probiem 1 Quickie (12.5 points) a) In the box below, provide a symbolic expression for v9 for t > 0 if v(0) = 4 V. b) If Rf = 40 k0, R1 = 10 k0, C = 10 11F, and WC) = 4 V, write the expression for v0 for t > 0 in the BOX BELOW. (2.5 points) R1 "if a person offends you... do not resort to extremes, simply watch your chance and hit him with a brick.” ~ Mark Twain Problem 2 First order circuits Consider the circuit below. T=O 6kQ 2v Write It in the BOX BELOW. a) What is the value of V0 at t = 0+? (25 points) 9M) (5 points) b) Using whatever method you like (yes, anything, don’t raise your hand to ask if you can use {a provide a symbolic exgression for the voitage Vo(t) for t > 0 in the BOX BELOW. (17.5 points) - (Pr'i‘krf‘RQ't‘: [/oﬂ-t) = “R3 6 4' 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) "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 points) Consider the circuit below. 6kg TENS ﬁL R1 J‘H. ksc'f‘hlc T?) W b) Is there a value for R1 such that the resonant circuit can be critically damped for t > 1 us? (5 points) Please show your equations clearly. If YES, write the value here: if N0, provide an expression that shows why not here: 01‘ L_(T+c25+ th) J-(Iw+ Ianék’" (WE) “ “Lloyd, 100 I .L k; R; .. ’ I 4 3‘ LC +1) ‘ IVMFX/qu (g+7g+f) 2 JAN"; /Oé (ER! 1" SQ!" :2) Rll+6£/‘7=O E '1) A)! .2 '" 6 +436+3é c) Determine the two relevant initial conditions of the circuit Condition 1: \ 41A lMS+) 5 0 Condition 2: ADJ { IN“) = 0 «H has") = 0 => 41 (1445*): o [/c c lw‘) -= 0 => (/6 r [/m): 0 A 4\L/( (“(45+) ‘(“ “(EL ((1450- A); : Vc ( (2145+) _._\ \ “7' 4L? (. {MS+) z: a (5 points) d) Assuming R1 = 9000 0, provide alcomplete expression for Mt) for t > 1 us. (15 points) ‘ (3' VJ? t- W) I 34!. + e f if 605(IL;tK/06(t_I/‘S)) ~§i¥fh (gr/05w: 9)] MA Em A I 6 i 02: (SHEEN/0 : ,5, K/oé : S" 6 "'5' W0 no = g; W L 3‘ g‘x? ?x (2. —' (A) : 4 / 4 02 D [/E‘xfa “ 36;“? J K/o < 0 " 02 W0 Loaf: 199002-02" : K/o’z : ﬂ X/p‘ If“? [(9 J! “614ch — I I I j “ "“‘° - H ..___ I 1 \ .1 acﬂ'i/cM/C) ~ lfk ; 37 MA ‘ {AWE} flux; *OIEi‘h (A) _, ‘ ) 7" 8 5 £5! caw££iqjg 7L £2 5'0 thi‘M‘JJ 3* = " me) ~ Sex/0‘3 i 'l f \ I , «1.; 3‘ A»! i me” ~ 317‘ V” j "I know they were just kids...but man we beat the fS%! out of them!” - Dbgma Problem 4 Phasors (20 points) If is = 5 003001: + 400) A in the circuit below, ﬁnd £0 49 3Q. u a far mm: work 0099668652 0153739556 0291456794 0380506377 0.463 647609 0785398163 0982793723 1.107148718 1249045772 1325817664 1373400767 1.405647649 156079666 5710593137 1130993247 1669924423 21.80140949 2656505118 45 5630993247 63.43494882 7156505118 7536375653 7869006753 8053767779 89.4270613 ...
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