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Re: Distribution of charge on a conductor.

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On 8/25/2015 10:50 AM, Justin Thyme wrote:
> Odd Bodkin wrote:
>> On 8/25/2015 9:31 AM, Justin Thyme wrote:
>>> Sam Wormley wrote:
>>>> On 8/25/15 8:08 AM, Justin Thyme wrote:
>>>>> I know, or at least I think I do, that the charge on a hollow
>>>>> conductor
>>>>> (say a sphere) is all on the outside, and the charge on a spike is
>>>>> concentrated at the tip (I think the charge density increases with the
>>>>> curvature of the surface).  So naturally I wonder where the change
>>>>> on a
>>>>> sphere with a spike in the inside will accumulate...
>>>>
>>>>    Nope -- not at the tip.
>>>>
>>>
>>> First, sorry for writing "change" where "charge" is meant.
>>>
>>> Consider, to be more specific, the surface of revolution got by turning
>>> a cardioid about an axis that runs through its centre and the cusp.
>>> Where (and why) would the charge on that accumulate?
>>>
>>
>> It's a good question, because the naive answer would be the most convex
>> portion on the outside of the conductor. But the most convex portions
>> are immediately adjacent to the _highly_ concave inward-facing cusp. So
>> the maximal concentrations are likely on the "shoulder" of the
>> heart-shaped revolute. I don't know if this is solvable analytically,
>> and it may be that a mesh-relaxation computer program would be needed to
>> find the charge density profile.
>
> Since the phrase "mesh-relaxation computer program" means nothing to me,
> any thoughts about where more may be learned?  sci.math.num-analysis,
> maybe?
>

Google first.


-- 
Odd Bodkin --- maker of fine toys, tools, tables

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Thread

Distribution of charge on a conductor. Justin Thyme <JustinThyme@nowhere.com> - 2015-08-25 14:08 +0100
  Re: Distribution of charge on a conductor. Sam Wormley <swormley1@gmail.com> - 2015-08-25 08:37 -0500
    Re: Distribution of charge on a conductor. Justin Thyme <JustinThyme@nowhere.com> - 2015-08-25 15:31 +0100
      Re: Distribution of charge on a conductor. Odd Bodkin <bodkinodd@gmail.com> - 2015-08-25 10:12 -0500
        Re: Distribution of charge on a conductor. Justin Thyme <JustinThyme@nowhere.com> - 2015-08-25 16:50 +0100
          Re: Distribution of charge on a conductor. Poutnik <Poutnik4NNTP@gmail.com> - 2015-08-25 18:19 +0200
          Re: Distribution of charge on a conductor. Odd Bodkin <bodkinodd@gmail.com> - 2015-08-25 11:35 -0500
            Re: Distribution of charge on a conductor. Odd Bodkin <bodkinodd@gmail.com> - 2015-08-25 12:24 -0500
              Re: Distribution of charge on a conductor. Odd Bodkin <bodkinodd@gmail.com> - 2015-08-25 12:25 -0500
                Re: Distribution of charge on a conductor. noTthaTguY <abu.kuanysh05@gmail.com> - 2015-08-25 10:30 -0700

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