What is the Range of w for Equivalent Series and Parallel RC Circuits?

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Discussion Overview

The discussion centers on determining the range of angular frequency (w) for which a series RC circuit and a parallel RC circuit are equivalent, given that both circuits have high Q-factors. The scope includes theoretical analysis and mathematical reasoning related to circuit impedance.

Discussion Character

  • Technical explanation, Mathematical reasoning, Homework-related

Main Points Raised

  • One participant presents the problem of finding the range of w for equivalent series and parallel RC circuits with specified components and high Q-factor.
  • Another participant suggests determining the impedance of the parallel circuit and expresses it in terms of real and imaginary components.
  • A third participant encourages the original poster to share their attempts and specific points of confusion to facilitate assistance.
  • A later reply indicates progress in deriving relationships between the resistances and capacitances, specifically Rs=Rp/(1+Q^2) and Cp=Cs(1+1/Q^2), but expresses difficulty in finding the range of w.

Areas of Agreement / Disagreement

Participants do not appear to have reached a consensus on the method to find the range of w, and multiple viewpoints on how to approach the problem are present.

Contextual Notes

The discussion includes assumptions about the Q-factor and its relationship with the circuit components, but these assumptions are not fully resolved or defined.

adityapratapa
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Given : a series RC circuit with Rs and Cs and Parallel circuit with Rp and Cp...also given both are equivalent and Q-factor is high. Calculate the range of w for both circuits are equivalent.


pls help asap...
 

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Determine the impedance of the second circuit, expressing it as a REAL component and an IMAGINARY component.
 
welcome to pf!

hi adityapratapa! welcome to pf! :wink:

show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:
 


tiny-tim said:
hi adityapratapa! welcome to pf! :wink:

show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:

i got it till this..

Rs=Rp/(1+Q^2) and Cp=Cs(1+1/Q^2) assuming Q=1/wRsCs=wRpCp...but when it comes to finding the range of w I'm struck...
 

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