Can a Passive Device Mimic V = (const.) d3I/dt3 in a Circuit?

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Discussion Overview

The discussion revolves around the possibility of creating a passive device in a circuit that can mimic the behavior described by the equation V = (const.) d3q/dt3, where V represents voltage and q represents charge. The conversation touches on the roles of traditional circuit elements such as capacitors, resistors, and inductors.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant outlines the voltage relationships for capacitors, resistors, and inductors, suggesting a focus on their established behaviors.
  • Another participant questions the accuracy of the voltage equation provided, specifically regarding the use of charge (q) versus current (I).
  • A subsequent reply acknowledges a misunderstanding regarding the variable used in the equation, indicating a potential confusion in the discussion.

Areas of Agreement / Disagreement

The discussion contains some confusion regarding the variables used in the voltage equations, and there is no consensus on the feasibility of creating a passive device that mimics the proposed behavior.

Contextual Notes

Participants have not fully clarified the implications of using charge versus current in the context of the proposed equation, and there may be assumptions about the definitions of the circuit elements that remain unaddressed.

Harrisonized
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The three circuit elements are capacitors, resistors, and inductors, which act in the following manner:

Capacitor: V = (1/C) q
Resistor: V = R dq/dt
Inductor: V = L d2q/dt2

Is it possible to build a passive device that acts like:

V = (const.) d3q/dt3

Google search has come up with nothing.
 
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Harrisonized said:
Inductor: V = L d2q/dt2

Are you sure?
 
What do you mean am I sure? Does that formula look incorrect to you or something?
 
oops my bad. I didn't notice you had q instead of I.
 

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