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

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To find vo/vs in the given transfer function, dividing both sides of the equation by vs is the straightforward method, but it leaves vs on the right-hand side. The confusion arises from the dependence of vo/vs on vs itself, making it challenging to isolate. The discussion reveals that the analysis may have been incorrect, as the variable s is often complex in circuit analysis. Ultimately, the user acknowledges the complexity and thanks the participants for their input. Understanding the relationship between variables is crucial in solving transfer functions effectively.
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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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