HW8p3 soln

HW8p3 soln - HW8#3 Using Nodal analysis 1 Va 1 Vin C1 C2 Vout(Va Vin sC1Va(Va Vout 0 Va Vout(1 sC2 1 2 Vout s n C1C2 2 H(s 2 Vin s 1 s 2n s n 2 1 2

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©B obY o rk Back to TOC HW8 #3 V out 1 1 V in C 1 C 2 2 12 22 2 21 1 2 1 () 2 1 out n in nn Vs CC Hs ss C C       V a 1 ( ) 0 ai n a ao u t VV s C V 2 (1 ) u t s C Using Nodal analysis: The intent of the problem was to let: 1 2 . 4 1/ 2 0.707 C C By choosing the capacitances correctly we can create a variety of circuit responses, i.e. different ω n and ξ values 2 1 1 n 2  The confusion stems from the fact that the resulting quadratic has two simple poles rather than a distinct 2 nd -order cutoff frequency at ω n =1, so
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This note was uploaded on 03/17/2010 for the course ECE 2B taught by Professor York during the Spring '07 term at UCSB.

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