The Equations of Free Energy

The Pseudo-Equations: Let us use the following subscripts and letter convention, and develop
the nomenclature needed:
T = trapped d = dissipated or dissipating
m = translated (moving) K = energy
V = volts = potential drop (potential dissipated) = previously collected potential radiated away as
heat in a load, doing work on the load in the process. Unfortunately, we shall also have to speak
of a potential gradient that is not being dissipated, so we shall have to speak of "trapped volts"
which is erroneous, but complies with the common usage.
φ = electrostatic scalar potential. Coul = coulombs
i = amperes = Dissipating potentialized coulombs per second flowing, so amps are something
translating, always. Amps are excited coulombs, per second, that are dissipating their excitation.
With superconductivity excluded, you only have amps when you have a potential drop across a
load. So we will speak of amps as "dissipating," meaning that potentialized electrons are
traveling through a load, dissipating their activation (gradients) in the load by radiating scattered
photons (heat).
n = number of electrons in a coulomb = 6.3 x 1018 electrons/coulomb
Here are the pseudo equations (superconductivity is excluded):
ampm = could/sec = n electronsm/sec = n electronsd/sec [1]
Δφ = VT (as conventionally referred to). It would be volts if all [2] of it were dissipated, but it is not
yet dissipated, so it is sort of "trapped volts". Erroneous, but the common use. So we will speak
(somewhat distastefully) of "trapped volts" and "dissipated volts."
Vd x ampd x sec = watts x sec = power x time = work = Kd [3]
Vd x could/sec x sec = (work) = Kd [4]
In the switching, we switch KT to Kd so
KT ⇒ Kd [5]
But VT x coulT = KT [6]
Or
[VT] = [KT] / [coulT] = trapped energy/trapped coulomb [7]
[KT] = [VT] x [coulT] = amount of trapped energy, each cycle [8]
So that's what we were getting at. The amount of trapped energy you can transfer (in other
words, how much coal you get in one shovelful) depends upon the number of trapped electrons
you have in the trapped free electron gas in the collector, and the potential gradient you apply to
those trapped coulombs to potentialize them.