1) Derive the expression for the frequency responce H(jw) = V out (jw) / V in (j

Question

1) Derive the expression for the frequency responce H(jw) = Vout(jw) / Vin(jw) writing the expression in for following form:

Where w_0 is the center frequency (the freq. at which the transfer function magnitude is maximum), K is the gain at the center frequency (K = |H(j*w_0)|), and Q is the quality factor.

2) Derive expressions for K, w_0, and Q in terms of R, L, and C...

3) For R = 1k Ohm, L = 100mH, and C = 0.1*10^-6 F... Find the values of f_0=w_0/2pi, Q, and K. Then sketch the Bode straight-line magnitude plot for the filter.

Explanation / Answer

I have solved it in 3 pages. copy paste the link to view answers

http://i.imgur.com/HGU5S1K.jpg

http://i.imgur.com/LAHFaB5.jpg

http://i.imgur.com/XEJs3f8.jpg

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