Re: Magnetic field problem, (a proof of uniqueness of field potential)
- From: "Old Man" <nomail@xxxxxxxxxx>
- Date: Tue, 29 Nov 2005 19:53:49 -0600
"Harry" <harry.nakata@xxxxxxxxxxxxx> wrote in message
news:1133249210.049390.322110@xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
HI there,
The problem is below,
=======================
If B is uniform, show that A(r)= -0.5(rxB) works. That is, check that
??A=0 and ?xA=B . Is this result unique, or are there other
functions with the same divergence and curl?
=======================
Now I had shown that ??A=0 and ?xA=B ,
but I don't know how to express this A(r) is uniqueness or not, how to
show that?
Here B is magnetic field and A is field potentia
Your conditions are satisfied by any
A'(r) = A(r) + C
where C is a constant vector potential (independent of r).
[Old Man]
.
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