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

[Harrisonized]

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.

 

[CWatters]

Inductor: V = L d²q/dt²

Are you sure?

 

[Harrisonized]

What do you mean am I sure? Does that formula look incorrect to you or something?

 

[CWatters]

oops my bad. I didn't notice you had q instead of I.

 

[pmacias]

I can say that it is not possible to build a passive device that mimics the function V = (const.) d3q/dt3 in a circuit. This is because the three circuit elements mentioned, capacitors, resistors, and inductors, each have their own specific functions and equations that govern their behavior in a circuit. These equations are based on fundamental principles of physics and cannot be altered or mimicked by other passive devices.

Furthermore, the equation V = (const.) d3q/dt3 is not a valid representation of the behavior of any of the three mentioned circuit elements. It does not follow the laws of physics and cannot be derived from any known principles.

In summary, while it may be possible to manipulate the equations of capacitors, resistors, and inductors to some extent, it is not possible to completely mimic the function V = (const.) d3q/dt3 using passive devices. This highlights the importance of understanding the fundamental principles and equations that govern the behavior of circuit elements in order to design and analyze circuits accurately.