The radius of the dome on one very large Van de Graaff generator is about (2.5 mathrm{~m}),

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The radius of the dome on one very large Van de Graaff generator is about \(2.5 \mathrm{~m}\), and air breaks down when the field magnitude is about \(3.0 \times 10^{6} \mathrm{~V} / \mathrm{m}\). How much electric potential energy is stored in the electric field surrounding the dome just before the air there breaks down?

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