Reducing a circuit to a single impendence value

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AI Thread Summary
The discussion focuses on finding Vout over a range of frequencies by equating Vin to Vout using equivalent impedances. The user is utilizing Python for calculations but seeks confirmation on the accuracy of their algebra and circuit reduction. They realize a missing connection in their circuit diagram, which affects their understanding of current flow between components. The user acknowledges confusion regarding the voltage drop measurement and the parallel configuration of certain impedances. Overall, the thread highlights the challenges of circuit reduction and the importance of accurate diagram representation.
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Homework Statement


Find Vout over a range of frequencies


Homework Equations


V = IZ


The Attempt at a Solution


I'm trying to equate Vin to Vout using equivalent impedences. I have some python code to handle the numbers but want to be sure my algebra and circuit reudction are correct because I'm getting good-ish values from the script but I'm still not positive they're right.


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edit: I just saw that I'm missing a bridge between the upper and lower lines on the second to last diagram. ZEQ and Z3 should be in parallel.
6TfCSyGl.jpg
 
Last edited:
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Hi cowmoo32, I'm no expert, but it looks like in your equivalent circuit(2nd circuit, that is) R3 and C1 have the same current, but in the first circut it's clear that R3's current is 'higher' than C1's.
 
I could kick myself. For some reason I've had it in my head that the voltage drop would be across the two Vin leads and the two Vout leads, but you're right. I should be measuring voltage across Vin to Vout.

edit: Seeing that makes things even harder. Now I have no idea how to reduce it.
 
Last edited:
Does this work?
MBNcHyYl.jpg
 
Hi. Well, I don't see why Z1 and ZR1 are parallel.
 
Right again. It was a long day yesterday. Thanks!
 

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