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4hv.org :: Forums :: General Science and Electronics
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Capacitance, electrostatics question

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WaveRider
Thu Mar 13 2008, 09:17PM
WaveRider Registered Member #29 Joined: Fri Feb 03 2006, 09:00AM
Location: Hasselt, Belgium
Posts: 500
Yes. You are right. I misunderstood your question. Indeed, a solid sphere will have more electrons to donate to your "cause". wink What happens is this:
  • You pull out an electron
  • The depletion zone "front" in your sphere now has a smaller radius
  • The sphere is effectively "smaller"
  • The capacitance is smaller.

Does this make sense? Keep in mind that the free electrons will reside in a sphere smaller than the physical radius of your "material" sphere. The depletion zone will be a spherical shell that grows from the outside in.

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Marko
Thu Mar 13 2008, 09:25PM
Marko Registered Member #89 Joined: Thu Feb 09 2006, 02:40PM
Location: Zadar, Croatia
Posts: 3145
The depletion zone will be a spherical shell that grows from the outside in.

Here - if depletion one grows outside in, why would remaining electrons want to be bunched in the center?

Wouldn't electrons very strongly repel and always tend to distribute themselves equally along the surface (and maybe to a side of external E field is present, but ignore it for now), even if it's very few of them left?

So how could then capacitance drop? (sphere would still keep same 'conductive surface'). Am I missing something?
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WaveRider
Thu Mar 13 2008, 09:48PM
WaveRider Registered Member #29 Joined: Fri Feb 03 2006, 09:00AM
Location: Hasselt, Belgium
Posts: 500
The outside of the sphere is no longer conductive. It looks more like a dielectric.

It grows from the outside in as a result of Gauss' law. No field can exist inside of a conductive shell (where there are fully mobile charges) . But a field must exist on the outside....hence mobile charges will move away from the outside surface as they are removed.... It seems counter intuitive, I know... But where there are mobile charges (and hence, metal-like conductivity), the field will vanish.
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