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Article #124Re: Reply: Voltage and Van de Graaff
From: Donald E. Simanek
Date: Mon, 05 Jun 1995 00:00
Date: Mon, 05 Jun 1995 00:00
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On Mon, 5 Jun 1995, Pat Callahan pxc17@psuvm.psu.edu wrote:
> The original post concerning this question asked about the "voltage"
> inside the sphere. I belive a problem may exist in the question since
> the author was using a term (voltage) that could apply to a) Electric
> Potential or b) Electric Potential Difference. The answer would depend
> upon which of the two values you are asking about. When I teach
> electricity to my students I try to urge them to use correct terminology
> and encourage them to avoid using the unit as the name for the quantity.
> We don't use "amperage" in place of current, nor do we use "voltage"
> when we are discussing potential difference. Unfortunately it is common
> practice in the technical field to use the unit in place of the name for
> the quantity.
> Pat Callahan
>
Pat, I fully agree, and this voltage, amperage, wattage stuff has been
one of my pet peeves for many years. Now try to get the textbook authors
to see the light and clean up their language. :-)
We don't use 'meterage' for length, 'gramage' for weight or 'hertzage'
for frequency, do we?
And we say we are measuring the voltage when in fact we may be measuring
millivoltage. Why not say 'millivoltage' then?
And then there's 'percentage', used far too often, in cases where
'percent' would be quite sufficient.
Some folks think that adding '-age' to something makes it sound more
profound.
However, in the original query about potential within the metal sphere,
the missing ingredient was a specification of 'potential with respect to
what?' This falls into a different category of verbal trap. We can ask
"What is the field inside" with no ambiguity. But with potential we
must specify a reference potential.
With inverse square fields, such as those from point charges, and even
with fields from finite distributions of charge within a finite volume,
one can specify the potential at infinity as reference value zero, and we
usually do so, sometimes without bothering to state that fact. If we speak
simply of 'the potential at point x' one assumes, by default, that we are
taking the potential at infinity to be zero. But with fields from infinite
charges, or distributions which extend to infinity (as the classic
'infinitely long, straight wire') one cannot have zero potential at
infinity. [I don't know a non-calculus way to prove that; sorry.]
Anyway, the bottom line on the static charge on a conductor is that the
field inside is zero and the potential throughout is the same as that on
the surface. In the non-static Van de Graaff, the field inside the dome is
nearly zero (certainly small compared to the field *outside*), and the
potential inside doesn't vary much compared to the potential of the
surface (referenced to infinity).
-- Donald
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X-Google-Language: ENGLISH,ASCII-7-bit X-Google-Thread: 16cfd8,5e25a839fa6fdee0 X-Google-Attributes: gid16cfd8,public From: "Donald E. Simanek" <dsimanek@EAGLE.LHUP.EDU> Subject: Re: Reply: Voltage and Van de Graaff Date: 1995/06/05 Message-ID: <Pine.A32.3.91.950605211429.42602C-100000@eagle.lhup.edu> X-Deja-AN: 103961738 sender: Sharing resources for high school physics <PHYSHARE@PSUVM.PSU.EDU> comments: Gated by NETNEWS@AUVM.AMERICAN.EDU content-type: TEXT/PLAIN; charset=US-ASCII mime-version: 1.0 newsgroups: bit.listserv.physhare