Derive The Transfer Function from First Principles

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  • #4
anorlunda
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Ok, have you learned about basic circuit analysis, series and parallel combinations?

If this is homework, it should be posted in the homework forum and use the template.
 
  • #5
In short, No. No intro of circuit analysis and parallel/series combinations. Basically given this with one previous example and told to go figure it out. This is for a course in Signal Analysis.

Thanks Anorlunda, I will post it there.
 
  • #6
analogdesign
Science Advisor
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Simplest way to attack this (i.e. how I would attack a similar problem at work).

1. Replace all devices with a general impedance (call it, for example, Z, so R1 = Z1, R2 = Z2, L = Z3, C = Z4.)
2. Solve the now trivial three-node voltage divider problem using KCL.
3. Replace all the Zs with their actual impedences (e.g. Z1 = R1, Z2 = R2, Z3 = sL, Z4 = 1/sC)
4. Simplify the expression and you're done!
 
  • #7
anorlunda
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That's not nice for the teacher to give you that problem without the proper background.

If you are only interested in this problem, use @analogdesign 's advice in post #6. But basic circuits is something you'll surely need in your career. It is worth your time to learn it. A very effective and fast way to learn is using Khan Academy. It takes less than 5 hours there to learn a whole basic circuits course.

https://www.khanacademy.org/science/physics/circuits-topic#circuits-resistance
 
  • #8
berkeman
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Schoolwork thread in the EE forum is closed.
 

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