Design a low-pass filter circuit that has the transfer function HL s 6283 s 628 s2 628s

Chapter 16, Problem P16.5-1

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QUESTION:

Design a low-pass filter circuit that has the transfer function

\(H_{\mathrm{L}}(s)=\frac{628^3}{(s+628)\left(s^2+628 s+628^2\right)}\)

Questions & Answers

QUESTION:

Design a low-pass filter circuit that has the transfer function

\(H_{\mathrm{L}}(s)=\frac{628^3}{(s+628)\left(s^2+628 s+628^2\right)}\)

ANSWER:

Step 1 of 5

Transfer function in this form:

We will compare second order part of transfer function to general equation of second order low-pass transfer function:

Second order part of transfer function:

General second order low-pass filter transfer function equation:

By comparing these two functions we can conclude that:

By comparing numerators:

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