Maurice Tutor

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    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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    Phoniex University
    Oct-2001 - Nov-2016

Category > Management Posted 06 Feb 2018 My Price 9.00

prototype second-order section

Assume the circuit analyzed in Problem 15.50 is part of a third-order low-pass Butterworth filter having a pass band gain of 4.

a) If C2 = 1F in the prototype second-order section, what is the upper limit on C1?

d) Specify the scaled values of the resistors and the capacitor in the first-order section of the filter.

e) Construct a circuit diagram of the filter and label all the component values on the diagram.

Problem 15.50

The purpose of this problem is to guide you through the analysis necessary to establish a design procedure for determining the circuit components in a filter circuit. The circuit to be analyzed is shown in Fig. P15.50.

a) Analyze the circuit qualitatively and convince yourself that the circuit is a low-pass filter with a pass band gain of R1/R2

b) Support your qualitative analysis by deriving the transfer function

c) Now observe that we have five circuit components—

 

First glance, it appears we have two free choices among the five components. However, when we investigate the relationships between the circuit components and the transfer function constraints, we see that if C2 is chosen, there is an upper limit on C1 in order for  to be realizable. With this in mind, show that if  the three con-ductances are given by the expressions

d) Based on the results obtained in (c), outline the design procedure for selecting the circuit components once

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Maurice Tutor
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Status NEW Posted 06 Feb 2018 10:02 PM My Price 9.00

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