Zobel network in parallel with a speaker

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Homework Help Overview

The discussion revolves around a Zobel network consisting of a capacitor and resistor connected in parallel with a speaker that has inductance and resistance. The original poster attempts to derive the resonance frequency expression but encounters difficulties in reaching the desired result.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the configuration of the Zobel network, questioning whether it is a series or parallel arrangement. There are attempts to equate the reactive components of the circuit and references to phasor diagrams to analyze current relationships.

Discussion Status

Some participants have provided hints regarding the use of complex impedance and the behavior of the circuit at resonance. The original poster has made progress in deriving part of the result but expresses uncertainty about the next steps for the second part of the problem.

Contextual Notes

There is mention of an attached diagram that may provide additional context, but the specifics of the second part of the problem remain unclear. The discussion reflects a collaborative effort to clarify concepts and approaches without reaching a definitive conclusion.

copresh1
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a zobel network consisting of a capacitor C and resistance Rc is connected in parallel to a speaker of inductance L and resistance Rl.show that frequency at resonance =1/2pi*Sq rt 1/LC(Rlsquare-L/C ÷ Rc square-L/C)

i have begun by equating the reactive components of the branch currents.
iL=iC
(but i don't seem to get anywhere to the expression what i want)
 
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Is a zobel network a series RC or a parallel RC? Probably a series RC in parallel with the speaker's series RL?
 
it is a RC series connected in parallel with RL.
 

Attachments

i have drawn the phasor diagram ( which i will upload later).
from the phasor diagram i can say that
iLsin thetha=iCsin thetha
 
Hint : Find the complex impedance of the combination. At resonance, the impedance will behave as a pure resistance (the reactive component vanishes).
 
i have derived the desired result. the second part of the problem(see atached)i do not know where to start.
 

Attachments

attached diagram
 

Attachments

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