Reducing a circuit to a single impendence value

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Homework Help Overview

The discussion revolves around analyzing a circuit to find the output voltage (Vout) over a range of frequencies by reducing the circuit to a single impedance value. The subject area involves circuit analysis and impedance calculations.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the relationship between input and output voltages, questioning the correctness of their algebra and circuit reduction methods. There are attempts to clarify the current flow in different parts of the circuit and how to measure voltage drops accurately.

Discussion Status

The discussion is ongoing, with participants offering insights and corrections regarding the circuit's configuration and measurement points. Some guidance has been provided, but multiple interpretations of the circuit's behavior are being explored.

Contextual Notes

Participants note missing connections in circuit diagrams and express uncertainty about the implications of these omissions on their calculations. There is also mention of the complexity introduced by the voltage measurement points.

cowmoo32
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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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