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I think it will be larger, since such a plate will be attracted and
accelerate towards the other plates, exchanging electromagnetic
PE for mechanical KE just as when two oppositely-charged
plates fall together and voltage measured between the plates falls
(and since charge is constant, capacitance value must rise as
the 3rd plate is sucked inwards.)
Or, change the geometry of the 3rd plate a bit, and obviously it
increases the capacitance as it's inserted:
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