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The energy density at the surface of a charged conductor is the surface charge density squared , divided by 2 x the permittivity of free space. The surface charge density is the charge divided by the area it sits on. So if, e = permittivity = 8.85 x 10^-12 CC/Nmm and D = surface charge density, and U = energy density and R = radius of sphere and q = charge on sphere, then; U = (1/2e) x D^2 where D = q/4piR^2 = 1.1 x 10^-9/(4 x 3.14 x 1) = 8.76 x 10^-11 , where 4piR^2 is the surface area of a sphere. So; D^2 = 76.7 x 10^-22 then ; U = (76.7 x 10^-22)/(17.7 x 10^-12) = 4.33 x 10^-10 Joules/mmm

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