{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

6.Bandpass and Scaling

6.Bandpass and Scaling - BandpassFilters(Resonance...

This preview shows pages 1–2. Sign up to view the full content.

Bandpass Filters (Resonance) Parallel RLC Admitance Y(s) = 1/R + 1/sL + sC     [Y = 1/Z] Y(j ϖ ) = 1/R + 1/j ϖ L + j ϖ C = 1/R + j( ϖ C – 1/ ϖ L) [1/j = -j] Y(j ϖ )| = V o  = I s /Y,  |V o | = max when |Y| = min,   ϖ C = 1/ ϖ L,   ϖ ο  = Resonance : output = max, admittance/impedance = real Bandwidth  β  =  ϖ c2  –  ϖ c1 ,   ϖ c1 ϖ c2  are corner or half-power frequencies  where |V o | =   I s /|Y|= I s R/  |Y| =  Solve for  ϖ c1 ϖ c2  (equations in text)  β  = 1/RC Q = quality factor  =  ϖ ο  (high Q   sharp peak, low Q   broad peak) Series RLC  is dual circuit, I o  = V s /Z, Z = R + j( ϖ L – 1/ ϖ C) I o  = maximum when Z = minimum → same ϖ ο = Similar derivation of  ϖ c1 ϖ c2   β  = R/L 2 2 L 1 C R 1 ϖ - ϖ + LC 1 2 | V | max o 2 c c 2 L 1 C R 1 R 2 ϖ - ϖ + = LC 1

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Scaling Impedance scaling
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}