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What is the Energy of uniformly charged spherical shell having radius R and a charge Q on it?
Wiki User
∙ 12y ago
(1/4pi[epsilon]_0)*Q^2/2R
This can be derived from the fact that a spherical shell seemingly has a potential of a point charge (that is, k*Q/R) and W =½ int Vdq, where dq can be replaced with a [sigma]dA=[sigma] 4 pi r dr and sigma= Q/A = Q/4piR^2 => int½ Vdq = int ½k*Q/r*Q/(4piR^2)*4pir dr from 0 to R = k*½*Q^2/R^2 int dr from 0 to R = ½kQ^2/r=k*Q^2/2r.
Wiki User
∙ 12y ago
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