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

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The discussion centers on the possibility of creating a passive circuit device that mimics the behavior described by the equation V = (const.) d3q/dt3. Participants clarify the fundamental relationships of circuit elements: capacitors, resistors, and inductors, which are defined by their respective voltage equations. The initial inquiry reveals a lack of existing resources or formulas that address the specific behavior of a third derivative with respect to charge. A misunderstanding arises regarding the variables used, specifically confusing charge (q) with current (I). The conversation highlights the complexity of circuit behavior and the limitations of passive components in achieving this specific voltage relationship.
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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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