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Unformatted text preview: L , what would you replace C with in the transfer function to obtain the new transfer function? (d) If a second capacitor C 2 is inserted in series with R 1 , how would you modify the transfer function obtained in part (a)? Show how you would combine the two terms to obtain the new transfer function, i.e. in the form of the ratio of two polynomials. You do not need to factor any quadratic terms in the new transfer function. (a) Z ( s ) = R dc 1 + τ z s 1 + τ p s = ( R 1 + R 2 ) 1 + ( R 1 b R 2 + R 3 ) Cs 1 + ( R 2 + R 3 ) Cs (b) starts out at R dc breaks to1 slope at 1 /τ p and back to slope at 1 /τ z at the value R 1 + R 2 b R 3 (c) Replace Cs with 1 Ls or C with 1 Ls 2 (d) Z ( s ) = 1 C 2 s + R dc 1 + τ z s 1 + τ p s = 1 + τ p s + R dc C 2 s (1 + τ z s ) C 2 s (1 + τ p s ) = 1 + ( τ p + R dc C 2 ) s + R dc C 2 τ z s 2 C 2 s (1 + τ p s ) 2...
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 Summer '08
 HOLLIS
 Bode magnitude plot

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