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Yes, gedanken experiments are useful. The nylon springs
were added to follow the description: "We slowly draw
them [plates] together (step 1) and so gain some work."
Very narrow rigid wedges (near plate corners) would be
a better visualization for the idealized setup then the rods
or springs. Work against electrical attraction is done by
an agent when frictionless wedges are pushed toward
the inside and work is done on the agent they are
allowed to slide out.
I know that I am addressing only a small detail and
not thermodynamics of the engine. Is the reasoning
presented by Pentcho acceptable?
Ludwik Kowalski