I mentioned Ockham's razor earlier, also known as "The Law of Parsimony."
Generally, it applies to science[The simplest explanation is most
advantageous], but it is equally valuable in mathematics.  And, yes, it can
be applied to Stoke's and Green's theorems.  When actually solving real
problems by applied mathematics it usually helps to present the expressions
in the simplest readable form.  For example, sometimes you factor
expressions so they are visibly more simple.  This is sometimes the case
where you might avoid the table of integrals, or transforms, etc.  P=IE,
E=IR, P= hd, or other such linear relationships are in the simplest readable
form by direct proportionality.

That being said, all other valid manipulations will provide equally valid
results.  But there is room, here, to accept that some people prefer a
different configuration from the convention.  However, before discarding
convention it is worthwhile learning it's value.


----- Original Message -----
From: "Rick Regan" <drrdr@CHARTER.NET>
To: <PICLIST@MITVMA.MIT.EDU>
Sent: Friday, April 16, 2004 8:41 AM
Subject: Re: [EE]: Why isn't Ohm's Law written I=V/R?


> > So how does this apply to any other arrangement?  It's
> > not like you can vary ANY ONE of the parameters without
> > affecting the others.  i.e. varying voltage across a
> > fixed resistance changes the current, changing the
> > current through a fixed resistance varies the voltage
> > across the resistance.  It's basic maths, given one
> > fixed parameter the Ohms law states the other two are
> > either proportional or inversely proportional to each
> > other.  You can hardly single out one arrangement of the
> > formulae and say it's not valid.
>
> Noone said that any of the arrangements were invalid.  I
> was looking for the more "natural" way to express it
> because I assumed only V and R could be manipulated
> directly.  However, several have pointed out that I
> (current) can also be manipulated directly, which I did
> not know.  (I still don't understand how but that's ok
> for now I guess).
>
> In any case, I still think I=V/R is more intuitive for
> the beginner. Different batteries and resistor values can
> be plugged in to cause a change in I.  At least it helps
> my view of the world....
>
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