110_1_quiz2_sol - Name UID 6 OLMTI O N Left Student Right...

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Unformatted text preview: Name: UID: 6 OLMTI O N Left Student: Right Student: A Quiz 2. EE110. Time: 40 minutes. Calculator and one double-sided handwritten sheet of paper allowed. Show your work but cross out all irrelevant/wrong work. 01 3 points R You were taught that superposition works for RLC circuits. So to find out the __._/N/\/\fsg loop current in the adjacent circuit, you remove V1 calculate current and then 1 remove V2 and calculate current and then add them up to find total current v1 DC :3 I Do v3 as follows: ,,,;*”WC‘—‘—‘—— [1: (V2 + V3)/R ,' [2 = (V1+V3)/R v2 I: ll + l2 (by superposition) = (V1 + V2 +2‘v3)/F.’ But for this simple circuit, you know I should be (V1+V2+V3)/R. Now you are confused and start cursing your professor who told you that RLC circuit are linear and superposition works. What went wrong here ? e Linea/QM gc SW‘CNFOSH‘TDW wank-— on“) SW circuit: 0A“ imtfid rest, which floret‘are RWT‘\‘\€$ Wk €&<3I\ independent somce We be ‘06 Considueveck {AdiV‘Cd‘Mulj C ’m QVLSMTQ. {NRA rests) ’ In “l-ke Pmblewx mbove , W Fed‘FoiA3-c (WM 609mm V25 was docum‘tCé Mite, . The Correct 06‘)me Nom‘é loe, A Vi Ii _ “E‘ (V; i ON , V243) 7- OFF) a. V L,»- mfi (vszmi {2 > Was a???) I” 33 (v w y R 3-5 “33%" i visa 1 0W) Circuit Secret (0:) We have Vout Q2 7 points In the neighborhood junkyard, you find a black box with GA stamp on it. The box seems to have been lying there for years. It has two terminals labeled input and two terminals labeled output. Out of curiosity, you hook the output up to an oscilloscope and connect a 1V battery to input. At time t=O, you flip the switch to turn ”ON” the secret circuit and measure the output. The output looks like an exponential and you measure it to be (exp(-t) - exp(—2t)). (a) What is the transfer function of the circuit? What is its impulse response ? (b) Show one possible implementation of the secret circuit. ::_ Hits“; we? Haiti) Hm) P 31‘! PM.“ $55.25} HACb) W k 5e3£z+$ 2 ._ Pfi/Pz N N [2; se’lcrfl ‘3» .. (’22 - i , RN” 2 Qllghziaré‘zzig U“) H303): ...,,___Lm h __ V2. 6%; " N 2; 519+: ...
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