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-----Original Message-----
From: David Rutherford [mailto:drutherford@SOFTCOM.NET]
Sent: Thursday, January 23, 2003 8:57 PM
To: PHYS-L@lists.nau.edu
Subject: Re: There's work, and then there's work
John Mallinckrodt wrote:
first place, if
David Rutherford wrote:
Answer my first question, first:
"How do you propose to assemble a configuration, in the
the assembled charges keep flying off every time you bring in a new
one?"
I'd hold them so they don't move.
Why? In the conventional way of calculating the energy of a
distribution
of charges, you don't even consider the field of the particle you are
bringing in, so you don't have to worry about it. In the case of a two
particle distribution, the field of the second particle is not even
included in the calculation of the energy of the distribution. So by
calculating the energy the conventional way, you get only
_half_ of the
_actual_ energy of the distribution (for two identical particles). Go
figure!?#@*
predicts that theThen please show me how you determined that my result
energy stored by a capacitor is CV^2. Show your work.
Fine. You double count the contribution of each charge to the total
energy. Therefore, since the correct answer is 1/2 CV^2, you get
CV^2.
No. Think of a parallel plate capacitor as two oppositely charged
particles flattened into two oppositely charged parallel plates. Using
the same (conventional) method that was used to find the energy of the
two charge distribution, above, you can see that the total
field of the
(assembled) capacitor only includes the field of _one_ of the plates.
That means that, using this method, you get 1/4 CV^2, not 1/2
CV^2. But
using my method, in which the fields of _both_ plates are considered,
you get 1/2 CV^2, which is the _correct_ result.
I'm assuming that, since you used this example, there is experimental
evidence corroborating this. In that case, the evidence verifies my
result for the energy (density) of a charge distribution (and
a parallel
plate capacitor), and proves that the conventional result for
the energy
(density) of a charge distribution is incorrect.
If you have any other "relevant experimental result[s]" that my theory
"violates", let's see them. It'll be a pleasure to shoot down yet
another conventional physics Dodo Bird.