HW 3 ans

# HW 3 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 – 1FEB2008 Homework 3 - Due : Friday, 8FEB2008 Problem 1 : (a) Find an expression for the system function H(s) = V 0 (s) V IN (s) for this circuit . Write it in canonical form; coefficient of the highest power of ‘s’ equal to ‘1’ in both numerator and denominator. (Put in the numbers as the last step.) (b) Draw the pole-zero diagram for H(s) . (c) Write an expression for the frequency response function H(j ! ) = V 0 (j ! ) V IN (j ! ) . Write it in canonical form; real part of complex expressions equal to ‘1’. (a) First find the impedance of the parallel combination of R 1 and C . Z || = R 1 sC R 1 + 1 sC = R 1 R 1 Cs + 1 . Notice that this expression has unit of ohms since each term in the denominator is dimension-less . (b) Next use the voltage divider rule to obtain an expression for V 0 (s) in terms of V IN (s) . V 0 (s) = R 2 R 2 + R 1 R 1 Cs + 1 V IN (s) = R 2 R 1 Cs + 1 ( ) R 2 R 1 Cs + R 2 + R 1 V IN (s) = R 2 R 2 R 1 C R 1 Cs + 1 ( ) s + R 2 + R 1 R 2 R 1 C V IN (s) H(s) = s + 1 R 1 C !

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