A conducting sphere has a radius of (2.25 mathrm{~m}) and carries a positive surplus charge of (35.0
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A conducting sphere has a radius of \(2.25 \mathrm{~m}\) and carries a positive surplus charge of \(35.0 \mathrm{mC}\). A protective layer of barium titanate is applied to the surface of the sphere to make it safe for laboratory workers nearby. Safety considerations dictate that the potential difference between the surface of the conductor and the outside of the nonconductive layer must be \(20,000 \mathrm{~V}\) (though this is by no means safe under all conditions). How thick must the protective layer be?
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