I see. I was relating quasi-static to slow moving electrons, cause i assumed there would be no absolute static situation, considering that would take a temperature lower than thought possible to achieve.quasi-static ness give you a easier theoretical path from A to B in thermodynamics so you can track energy flows. For your electrical charged plate problem, a static situation indicator primarily means a lack of magnetic fields because of no moving charges. A body touching the circuit moves that into the dynamic realm as charges move to neutralize charge imbalances, generate magnetic fields in concert with electric fields to transfer energy. That will eventually become a static condition again if there is not a path for current electricity.
https://en.wikipedia.org/wiki/Quasistatic_process