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RE: Potential gradient between two spheres?

Original poster: "Denicolai, Marco" <Marco.Denicolai@xxxxxxxxxxx>

Hi Antonio,

I have got your two references (A. Russell from 1911) but they just
allow to calculate the capacitance between two spheres A and B at
potential Va and Vb. I want to know the potential at a point X between
the two spheres. How to do that?

Should I simply replace the two spheres with two point charges Qa and Qb
of value given by the Russell paper and then calculate by their
superimposition the resulting potential at X?

Best Regards

P.S. Sorry for my question but I'm still a beginner with electrostatics.


> -----Original Message-----
> From: Tesla list [mailto:tesla@xxxxxxxxxx]
> Sent: 12. lokakuuta 2005 08:12
> To: tesla@xxxxxxxxxx
> Subject: Re: Potential gradient between two spheres?
>
> Original poster: "Antonio Carlos M. de Queiroz" <acmdq@xxxxxxxxxx>
>
> Tesla list wrote:
> >Original poster: "Denicolai, Marco"
> <Marco.Denicolai@xxxxxxxxxxx> Hello
> >all, I'm still developing a working model of the breakdown discharge
> >based on the work of Gallimberti and others.
> >The idea is to apply it for modelling TC discharges. I'm writing it
> >using Matlab (not really a delight!).
> >I am looking for a practical equation to calculate the potential
> >gradient between two spheres of different radii. The
> potential gradient
> >along their mutual axes is enough. Has anybody got any paper
> in PDF, PS
> >or whatever format so that I could find my answer quickly?
> >Thanks for your help
> >P.S. Potential distribution between sphere (or rod) and plane is
> >readily available from many sources, but sphere to sphere is
> a pretty
> >complex equation and I haven't found it yet.
>
> I have the exact formula for the breakdown voltage between
> two spheres of different radii here:
> http://www.coe.ufrj.br/~acmq/tesla/capcalc.pdf
> The references have its deduction.
>
> Antonio Carlos M. de Queiroz
>
>
>