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Some versions of the capacitor problem do not specify resistanceless wire,
and I've seen them give the answer "The energy goes into heating the wire"
without ever considering the energy loss resulting from oscillation and
radiation. But even if both mechanisms of energy loss are present, the
final equilibrium situation has half the energy one started with. Now if
the capacitors weren't of identical capacitance, the result wouldn't be
exactly one half. What would it be, and would that depend on the size of
the resistance?
In these problems, when the two things are identical, one initially has
all the energy and then the energy is distributed between both, is the
resulting energy *always* half the initial energy, no matter what objects
we are talking about, and what methods of energy transfer? If so, why?
Is there a more general and universal theorem applicable here?