{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

ECE201_30_Jung

# ECE201_30_Jung - ECE 201 Lecture 30 Complex Forcing...

This preview shows pages 1–10. Sign up to view the full content.

ECE 201 Lecture 30 Complex Forcing Function Announcements Last Lecture #29: RC Op Amp Circuits This Lecture #30: Continue RC Op-Amp circuit analysis Complex forcing function

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

View Full Document
Oscillator Application KCL: KVL: + -
0 1 2 3 4 5 6 7 8 -1.5 -1 -0.5 0 0.5 1 1.5 Solutions (R 1 =R 2 ) Characteristic equation Assume R 1 =R 2 =R Solutions are

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

View Full Document
Solutions (R 1 <R 2 ) Characteristic equation Assume R 1 <R 2 Two roots are on the right half of the complex plane 0 1 2 3 4 5 6 7 8 -5 -4 -3 -2 -1 0 1 2 3 4 5 Solutions are
0 1 2 3 4 5 6 7 8 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0.8 1 Solutions (R 1 >R 2 ) Characteristic equation Assume R 1 >R 2 Two roots are on the left half of the complex plane Solutions are

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

View Full Document
Oscillator Application 2 3 f Out Out f f R V R R υ υ + = = + 2 3 Out V V υ υ - + = = = f G Advanced f G LPF HPF + = f G BPF 1 1 1 f G f G LPF HPF + = f G BPF 1 1 1 f G f G LPF HPF + = f G BPF 1 1 1
Most Commonly Used Topologies + + + + + + + + + + +

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

View Full Document
Motivating Example Initial condition Input Output Homogeneous equation : Characteristic equation with Particular solution to the inhomogeneous eq : General solution: Guess: Differential equation becomes
Math Math Math…. Do we really need to solve differential equations every time to solve RLC network problems?

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