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The "object at infinity" is not a part of the one-conductor system underVj)
consideration.
Bob Sciamanda (W3NLV)
Physics, Edinboro Univ of PA (em)
trebor@velocity.net
www.velocity.net/~trebor
----- Original Message -----
From: "John S. Denker" <jsd@MONMOUTH.COM>
To: <PHYS-L@lists.nau.edu>
Sent: Tuesday, March 06, 2001 6:11 PM
Subject: Re: funny capacitor
At 05:50 PM 3/6/01 -0500, Bob Sciamanda wrote:
Consider our old friend the single, isolated conductor and its
description:
Q = C V, where C = C11, the only Cij of this one-conductor system.
Let's make it a sphere of radius a. Then if V is referred to infinity
C=4*PI*epsilon*a.
OTOH if V is referred to a space-point located a distance 2a from the
sphere's center, then C=8*PI*epsilon*a.
Nice try, but alas that violates the defining relationship
Cij := delta Qi / delta Vj (all Vk const except
of
because the voltage of the "object" at infinity is changing when the V
the sphere changes.