The capacitor problem


here is how I managed to solve the “capacitor problem”, i.e. how I would try to transform a small system of (linear) capacitors in something more similar to a lake characterized by his (non-linear) storage capacity curve.
As explained in my previous post, you can use this Java applet to see an animation of the device electro-dynamics copying this code in the matrix sheet editor.
If you really can’t resist, read on to see the resulted graphs of the electric potential,
but first of all you’ll have to watch at my brand new circuit (let’s call it the composite capacitor):

Composite capacitor circuit scheme

As you can easily see, the three capacitors are not all the same: all but one are conditionally connected to the rest of the circuit, depending on the potential level. Their second contacts (“north” sides) are no more simply grounded, but connected to a stable and static voltage equal to the threshold value that regulate the cited conditional connection (this is essential to circuit stability and to the system behavioural likelihood).
The results are shown below, but in few words they are synthesised by this statement: to the known effect of signal delaying and damping of the previous circuit, we add now a wave form distortion effect due to the overall non linear capacity of the electric system.

Composite capacitor circuit response
Next step is Matlab (or Scilab); then I’ll be able to post more detailed (graphical) explanations.

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