Capacitor energy experiment

[David Rutherford <drutherford@SOFTCOM.NET>]

David Rutherford wrote:
> "John S. Denker" wrote:
> > I've had the experience of being yelled at by
> > an entire roomful of "experts" who "knew" that
> > .5 C V^2 dissipation was a law of nature.  And
> > they had a stack of textbooks to "prove" it.
> > ... But all their yelling didn't change the
> > facts.  There really are low-dissipation ways of
> > charging a capacitor.
>
> The reason they were yelling is that, if 1/2 CV^2 dissipation is not a
> law of nature, you are confronted with explaining what happens to that
> 1/2 of the original energy, since according to the conventional "laws of
> nature" "proven" in the textbooks, only 1/2 of the original energy QV
> (in the case of the battery/capacitor circuit) is stored on the
> capacitor after it is charged. The only place left for the energy to go,
> if it is not dissipated, is into the energy stored on the capacitor and
> that would mean that it must be greater than 1/2 CV^2 (possibly CV^2?).
> That would mean that their precious textbooks are wrong! I'm surprised
> they didn't shoot you :^)

I suggest doing an experiment on a circuit initially consisting of a
battery and a capacitor. Charge the capacitor in the least-dissipative
way possible. Then discharge the capacitor through a large resistor.
Determine the energy dissipated by the resistor and consider that to be
the energy stored on the capacitor. If the initial energy of the charges
in the battery is Ei = QV and the energy dissipated in the charging of
the capacitor is Ec, I claim that the energy Ed dissipated by the
resistor in discharging the capacitor will be

Ed = Ei - Ec

The energy Ed is equal to the energy stored on the capacitor, which for
Ec ~ 0 should be Ed ~ CV^2.

--
Dave Rutherford
"New Transformation Equations and the Electric Field Four-vector"
http://www.softcom.net/users/der555/newtransform.pdf

Applications:
"4/3 Problem Resolution"
http://www.softcom.net/users/der555/elecmass.pdf
"Action-reaction Paradox Resolution"
http://www.softcom.net/users/der555/actreact.pdf
"Energy Density Correction"
http://www.softcom.net/users/der555/enerdens.pdf
"Proposed Quantum Mechanical Connection"
http://www.softcom.net/users/der555/quantum.pdf