How do I design the butterworth tee low pass filter?

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Adam Abramowicz

You can find detailesi chapter 4 of Matthaei, Young, Jones: Microwave Filters, Impedance-Matching Networks, and Coupling Structures, McGraw-Hill, New York 1964 (or any later issue).

Paul Howard Riley

You could also use a design/simulator tool such as Tina http://www.tina.com/ It has a filter designer built in and then you could simulate the performance with your other components.

Regards

Dr. Paul