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# Re: Charged disk; was electrostatic ...

I don't understand what you are saying, Ludwik. Your " i,j object " is an
enigma to me.

Each conductor is labeled with a single index (i OR j OR whatever). Also
labeled with a single index are the charge Qi and the potential Vi of the
ith conductor. The numbers Cij quantify the effect which the potential of
the jth conductor has in determining the charge on the ith conductor.

In matrix notation Q = CV , where Q is a column vector (the Ci), C is a
square matrix (the Cij) and V is a row vector (the Vi). Keep prodding if I
confuse things.

Bob

Bob Sciamanda (W3NLV)
Physics, Edinboro Univ of PA (em)
trebor@velocity.net
www.velocity.net/~trebor
----- Original Message -----
From: "Ludwik Kowalski" <KowalskiL@MAIL.MONTCLAIR.EDU>
To: <PHYS-L@lists.nau.edu>
Sent: Tuesday, February 06, 2001 8:28 PM
Subject: Re: Charged disk; was electrostatic ...

It would be more appropriate to say "one i,j object with another
i,j object" instead of "objects i and j". Sorry for this; I am sure
it was clear I was referring to any pair of objects in the i,j matrix.
Ludwik Kowalski

Ludwik Kowalski wrote:

Bob Sciamanda wrote:

For the general case of N conductors, the charge on the ith one is
given
conductor is given by:

Qi = SUM{Ci,j * Vj}, where the SUM is over the index j.

In this matrix equation Vj is the potential of the jth conductor and
the
Cij (functions of geometry) are called the coefficients of capacitance
.
These are probably what John is thinking of.

I am also assuming that his definitions are consistent with
the above. But is not true that Cij = 0 when objects i and
j are not linked directly with field lines? And I had other
related questions as well. I have to think about the
"positive ions layer" suggestion, Bob.
Ludwik Kowalski