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# Demonstrate that the coulomb force inside a charged spherical conducting sphere is zero anywhere?

Not really sure what to do. Maybe something with the areal charge density (sigma = charge/area) or the arc length (s = theta r)? Any advice?

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- NCSLv 72 months agoFavorite Answer
On a spherical conductor, the excess charge is distributed uniformly on the external surface. If you consider any Gaussian surface INSIDE this shell of charge, the enclosed charge is zero. That means that the field everywhere INSIDE the conductor is zero, since

field E = flux / surface area = charge / (surface area * ε₀)

Therefore the force on any charged particle placed inside the conductor must also be zero.

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