Coulomb pressure and concentric spheres

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  • Thread starter MarkL
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  • #1
MarkL
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Suppose you have a sphere of radius a of positive charge, and a concentric shell from a to b of negative charge. The positive charge is equal to the negative charge. (non-conducting, uniform density)
Is there an outward pressure at a of kqq/a2/(4πa2) - with pressure decreasing with radius, becoming P = 0 at b.
Or, is there an attraction between the sphere and the shell --> P = 0 everywhere. The thickness of the shell does not matter. What if b was infinity?
Thanks
 

Answers and Replies

  • #2
ergospherical
883
1,213
Do you know how to solve the problem for the field strength? Because it's the same as a hydrostatics problem with ##\nabla p(r) = -\rho \mathbf{E}(r)##. Equivalently ##\nabla(p - \rho \phi) = 0##.
 

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