midterm2-solns

midterm2-solns - A3 1 4 pts Determine the equivalent...

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Unformatted text preview: A3 1 4 pts Determine the equivalent resistance seen looking into the terminals shown for the top circuit and write the answer in the box provided. Assume that the opamp is ideal, R1 = 1kg, R2 = 2kg, R3 = 9k£2 and R4 = le. For the bottom circuit, determine the gain of the controlled source, av, required to make Reqz = 009 and write it in the box. Use R1 = 109 and R2 = 109. Only the answers you put in the boxes will be graded, they are worth 2 points each. The signs and units matter. V1 R1 HAN» —"’~ + Req1<{ E R2 _ — v0 0—— R3 E €24 T99: Mast“ Faxlmz 4» Maxi opamp =7 whirl adapt, lot)? all 1“an ‘l’b {449w [Amen Es (Aria ’ “Wan Rees“ 7' RWQL m UK m t i 2 m k lga‘i‘i‘omi Forte. Ux a mason: Lg (K‘s 5L0M) l eye; fix Qfib‘zcfi ""9 (6%“sz % ZI+L~Z:O 1:) Tat—6(va Ux ._.._.... :0 R! 2a UX(\2\+€L—&(VEL\=b {3) av: Ed’zz 92, A4 2 8 pts 6 3p + 9 ’ unit step and unit impulse responses as explicit functions of time (i.e., without any If a circuit is described by the operator equation v0 (t) = vs (t). Write the operators) in the boxes below. Only the answers you put in the boxes will be graded, each answer is worth 4 points. ' A5 3 8 pts For the top circuit shown below, write an operator equation for vmpU) as a function of vS(t). For the bottom circuit shown below, write an operator equation for vb0t(t) as a function of 1‘50). Simplify your equations into the form of either a lowpass or a highpass operator equation. Only the answers you put in the boxes will be aded, each answer is worth 4 oints. gr P Ll L L _vmp<r>= {22.\ P my ifi We) = L; F:— tea) A6 4 20 points (3) Consider the circuit shown below and give values for the various items requested. Only the answers you write in the boxes will be graded. The signs and units matter. t=0 209 . —- v + M m w 7 ’ i(0-)= 3) A 2pts ‘ - SWPEP'Pcsil'l‘DVIC A ,——————’¥ 5hr): 2* {—2- 13A 7' 405+) v(O-)= lav lpt KUL- =§ way):- tov §_______,__‘ Lead Leafl- 3‘1 “OH: _ lpt mom =‘UC<>"3 ‘. 30*, [9044“ 15 >0 we we ago-r» » to; do zed won = Iov V<0+> = to V 2pts r—fl—fifl i )0 Bass WV + “00): LA lpt Z. iL - to v(oo)=. lpt 4M =2—A wear—- 9v r——|_\—l—\ i > a & TfOI‘i(t) fort>0 I; 3 Zpts , 20 E >B¥L:wfl" rfor v(t) fort>0 zpts ' - L 4,5 m A7 (b) Now write equations for i(t) and 120‘) as explicit functions of time (i.e., no operators) for t > 0. Write your equations in the boxes provided below, only what is in the boxes will be graded. The signs and units matter. Each equation is worth 4 points. A8 5 5 points Consider the resonant circuit shown below. (a) Write a symbolic operator equation for vL(t) as a function of vS(t) (i.e., write it as a function of R, L and C, do not plug in the numbers given in part (b) of the problem). Simplify your equation so that the denominator is in the form p2 + Ap + B. Put your answer in the box provided, only the answer in the box will be graded. (b) Assume L = lmH and 600 = L = 5><104 rad/s and JE determine the value of R required to achieve critical damping (I want a number!). Put that answer in the box provided. Val +46%" 61 A) re; 1 C R ,8; Us .' A9 6 5 points If a circuit is described by the operator equation v0 (t) = v t . Write an p2+6p+8 SO equation for the unit impulse response as an explicit function of time (i.e., without any operators) in the box below. Only the answer you put in the boxes will be graded. le— impolfi PEIéPoV’tfl— :3“ 3' l FLA—«éP‘l'g : é‘ffiL (it-It, -% t it: “‘5' Wt) : f, C(09)] : 6ft; 1 (CUE—«OMLIQ *" [A593 -.—. $663“ .__, 4—...” €505“) <P+H)LF+2L} = ~15 (5"?— 5”) We) \/ ...
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midterm2-solns - A3 1 4 pts Determine the equivalent...

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