Voltage divider; missing capacitor

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Homework Help Overview

The discussion revolves around a voltage divider problem involving complex impedances and their relationship in the context of sinusoidal inputs. Participants are exploring the implications of output waveforms and impedance ratios.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants express uncertainty about the problem's requirements and implications, particularly regarding phase differences and impedance relationships. Some suggest using conductivity to simplify the analysis, while others question the setup of the voltage divider.

Discussion Status

The discussion is ongoing, with various approaches being considered. Some participants have offered insights into the relationships between impedances and conductivity, but there is no clear consensus on the best method to proceed.

Contextual Notes

There appears to be confusion regarding the assumptions about the input frequency and the nature of the output waveform in relation to the voltage divider setup.

mathman44
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Homework Statement



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I can't seem to get a start on this. Could anyone provide a hint or something to get me started? Thanks...
 
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I don't entirely get this questions either...does the fact that the output is an exact reduced copy mean that if we restrict ourselves to sinusoidal input, for any input frequency, there is no phase difference between the input and output waveforms?
 
Anybody? I tried setting the "right" impedance equal to 1/9th of the "left" impedance to reform the voltage divider but this is a huge mess.
 
mathman44 said:
Anybody? I tried setting the "right" impedance equal to 1/9th of the "left" impedance to reform the voltage divider but this is a huge mess.

You can do it that way. It's easier to work with conductivity: 1/impedance

The "right" conductivity is [itex]10^{-6} + j \omega 10^{-10}[/itex]

The conductivity between A and B should be 9 times that.
 
You want the imaginary parts of the complex impedences to be in the same ratio as the real parts; 9 to 1.
 

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