Wednesday 11 February 2009

The Twisted Concept of Voltage

Before We Develop Some Pseudo-Equations: In the equations we wish to develop, we have
one problem, due to the lack of insight of conventional electrical physicists. That is, they have
insisted upon "measuring" and expressing both the infinite potential (nondissipated) and a
certain quantity of potential (dissipated) in volts . So they say "a potential of so many volts."
That's nonsense, and totally erroneous. Rigorously, a voltage is a drop or a dissipation of so
much (a finite amount of) collected excess potential/energy. You "measure" the voltage in a
voltmeter by impressing a potential gradient upon the electron gas in the circuitry, wherein you
collect or get in your voltmeter so much [(joules/coulomb) x coulombs]. A tiny current
(coulombs/second) from this internal collection then flows for a finite time through the resistance
of the voltmeter. So you dissipate (joules/coulomb) x (coulombs/second) x (seconds), which
gives a certain amount of energy dissipated as work in moving the needle of the voltmeter. The
voltmeter is calibrated so that it effectively indicates the collected energy per coulomb that was
dissipated, and it calls that entity voltage. It involves a finite amount of energy that has already
been dissipated as work, and it's a measure of the local energy density of the potential in terms
of joules/coulomb. It is not a measure of the potential proper. It's after the fact; the extracted
(collected) potential gradient it actually refers to existed in the past, before the work (dissipation
of the collected trapped energy) was done. To refer to the potential before its dissipation as
"voltage" is precisely the same as confusing the future with the past. A "potential (difference) of
so many volts" is actually a statement that "a potential difference of so much energy per
coulomb" could be dissipated in a load, if it were connected to the load so that a finite amount of
energy was collected, and this finite load-collection was allowed to dissipate as power
(volts/coulomb x coulomb/sec) for a finite time, yielding work. It's even worse, but it would take a
textbook to straighten out this one error in EM theory.
So we'll leave it at that, and we'll adapt the notion of potential the way it is corrupted in electrical
circuit theory. There it's used not really as energy, but rather as excess energy per coulomb of
potentialized charge . I apologize for that difficulty, which is not of my own making, but I must
use the conventional notion if we are to greatly clarify the pseudo equations.

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