Effect of the membranes movement on the capacity
Until now, the two electrodes were considered immobile. In reality however, the position of the mobile electrode is time dependant due to the electrostatic force. This motion should be taken into account.
The consequence of his motion , is that the inter-electrode distance d(t) is time dependant and is written As the inter-electrode distance is time dependant, the capacity C(t) of the capacitor is also time dependant, and is written:
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Generally, the motion is a small variation around the resting position . Thus, the capacity C(t) can be written:
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