HW 5 ans

HW 5 ans - [email protected] icl.syr.edu ELE232 Electrical...

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

[email protected] - icl.syr.edu ELE232 - Electrical Fundamentals II – 7MAR2008 Answers to Homework Assignment 5 Problem 1 : The main task here is to design a third order Butterworth lowpass filter with a cutoff frequency f C = 10,000 Hz and a passband gain of 10 . (a) What is ω C , the cutoff frequency in radians per second ? (b) Give the coordinates of the three poles needed. (c) Draw the circuit that realizes the pole on the real number line and give a value for the product RC that places that pole on a circle of radius ω C . (d) Draw the Sallen-Key filter that realizes the other two poles. State the value of the gain K needed and the size of the RC product. (e) The gain K of the SK filter can not be adjusted to realize the passband gain, but the gain of the first stage can be by choosing the ratio of the two resistors present. (a) ω C = 2 π f C = 62832 893 r/s . (b) s P 1 = ! 62832 r/s . s P 2 , 3 = 62832 cos( 60 ° ) ± j 62832 sin( 60 ° ) s P 2 , 3 = 31416 ± j 54414 (c) The first stage produces a pole at 1 R 2 C 2 = 62893 r/s and a passband gain of R 2 R 1 = 5 . (d)

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

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

{[ snackBarMessage ]}

What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern