Phasors and Imaginary and Real help

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    Imaginary Phasors
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Discussion Overview

The discussion revolves around the concept of phasors in relation to circuit input functions, particularly focusing on the stability of circuits as represented on the imaginary and real axes. Participants explore the implications of a circuit's position on these axes and the characteristics of stable versus unstable circuits.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant questions whether a circuit that falls on the imaginary axis is considered stable and asks if such circuits exist in reality.
  • Another participant seeks clarification on whether the discussion pertains to voltage or current functions, noting that deviations from the real or imaginary axes relate to circuit impedance characteristics.
  • A third participant suggests that the original question may relate to root locus, indicating a potential connection to control theory.
  • Another participant points out inconsistencies in the original question regarding input functions and circuit characterization, emphasizing the importance of feedback characteristics in determining circuit stability.
  • References to external resources such as feedback mechanisms and the Nyquist stability criterion are provided to support the discussion on circuit stability.

Areas of Agreement / Disagreement

Participants express differing views on the characterization of circuits and the implications of their positions on the imaginary and real axes. The discussion remains unresolved regarding the original question about stability and the nature of circuits on the imaginary axis.

Contextual Notes

There are limitations in the clarity of the original question, particularly regarding the definitions of input functions and circuit characteristics. The discussion also highlights the dependence on specific circuit configurations and feedback mechanisms, which are not fully explored.

th3plan
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Ok so i just want to clear up something about phasors and just circuit input functions in general. So based on the imaginary and real graph, where imaginary is like the y-axis and the real is the x axis, when let's say a circuit falls on the imaginary axis is it considered a stable circuit? Do these exist in real life ? If it falls on the right side of the imaginary axis i know this means there very unstable , and that they rarely exist and the circuits operates to bring them back to the left side of the imaginary axis to make them stable again.

Please tell me if me if my thinking is right, and that part about the imaginary axis, if there is solution right on it

Thanks
 
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Could you clarify your questions? Are you talking about a voltage function or current function? The only thing that I know about an input function's phasors deviating from the real axis (∠0°,∠180°,∠-180° ) or imaginary axis (∠90°,∠270°,∠-90°) is due to the characteristics of the circuit's impedance. Is it purely resistive, does it have inductive reactance, or capacitive reactance?
 
th3...your question appears inconsistent..first you say input functions then you reference a circuit.
usually you characterize a circuit via an input function, a transform representing the circuit characteristics, and an output...you seem to have the first two mixed.

There can be unstable circuits to be sure and these will be characterized by certain feedback characteristics. If the feedback reduces such instability by appropriately altering the input signal control is achieved..

See http://en.wikipedia.org/wiki/Feedback#In_electronic_engineering

and possibly Nyquist stability criterion :
Stability of the closed-loop control system may be determined directly by computing the poles of the closed-loop transfer function
 

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