How can I rearrange this equation to find vo/vs?

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Homework Help Overview

The discussion revolves around rearranging an equation to isolate the ratio vo/vs, which is part of a transfer function in circuit analysis. Participants express confusion about the proper method to achieve this without involving complex numbers.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the possibility of isolating vo/vs and explore the implications of dividing both sides of the equation by vs. There are questions about the dependence of vo/vs on vs and the role of complex variables in the analysis.

Discussion Status

The discussion is ongoing with various interpretations being explored. Some participants suggest straightforward approaches, while others express concerns about the implications of their assumptions. There is no explicit consensus on the best method to isolate vo/vs.

Contextual Notes

Participants note that the equation is part of a transfer function and mention constraints related to avoiding complex numbers. There is also a reference to potential misunderstandings regarding the variables involved.

NewtonianAlch
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Homework Statement



231.jpg


I want to solve this equation for

vo/vs

How can I go about doing this properly? I can get vo/vs^2 -- but I'm confused as to getting just vo/vs

Edit: Without it involving any kind of complex numbers, this is a transfer function.
 
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NewtonianAlch said:

Homework Statement



231.jpg


I want to solve this equation for

vo/vs

How can I go about doing this properly? I can get vo/vs^2 -- but I'm confused as to getting just vo/vs

Edit: Without it involving any kind of complex numbers, this is a transfer function.

If you just divide both sides by vs you are done. Why is that a problem?

RGV
 
vo/vs is a function of vs - there's no way to make it independent.
 
Ray Vickson said:
If you just divide both sides by vs you are done. Why is that a problem?

RGV

Because, there would still be a vs hanging around on the RHS of the equation.

It doesn't matter now anyhow, this was part of a circuit analysis transfer function. It seems I have done my analysis wrong. Would have been interesting if it were possible though.

Thanks for the responses.
 
s is a complex variable in circuit analysis. You're sure you weren't looking for Vo/V (ie the s is *not* a subscript but a factor).
 

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