Problem 9. A three-pole filtera) For a simple 1 pole series-R, shunt-C filter you want a pole at wp = 2π-100 MHz.Choose values that meet this requirement and while ensuring |Zin > 5 KQ for allfrequencies.R=C=Valueb) Consider the Sallen Key filter shown, which can provide complex conjugate (c.c.) poles.V₁R₂R₁ V₂HHJREoutDerive its transfer function, as well as Vout/V1 and V₁/Vin and confirm the followingrelationships:DC gain: Avo = (RF/RA+1)Natural frequency of c.c. poles: wn = (R₁R₂C1C2) ¹1/2Quality factor of c.c. poles: Q = [wn(R1C1 + R2C1 + R2C2(1 - Avo)]-1[Hint] 1) First find the DC gain (capacitors = open), 2) find the gain from V₁ to Vout, 3) usethe miller effect (and noting that C2 is in positive feedback) to estimate the impedancepresented to node V₁ by R₁ and C2, and 4) find V₁/Vin, and Vout/Vin.

Problem 9. A three-pole filter a) For a simple 1 pole series-R, shunt-C filter you want a pole at wp = 2π-100 MHz. Choose values that meet this requirement and while ensuring |Zin > 5 KQ for all frequencies. R= C= Value

Problem 9. A three-pole filter a) For a simple 1 pole series-R, shunt-C filter you want a pole at wp = 2π-100 MHz. Choose values that meet this requirement and while ensuring |Zin > 5 KQ for all frequencies. R= C= Value

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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