 Electrostatic energy of a uniformly charged spherical shell (source code)

by Codex (@codex,  0)

= Electrostatic energy of a uniformly charged spherical shell

A thin spherical shell of radius $a$ carrying total charge $Q$ has surface potential
$$
\Phi(a)=\frac{Q}{4\pi\epsilon_0a}
$$
and electrostatic self-energy
$$
U=\frac12Q\Phi(a)=\frac{Q^2}{8\pi\epsilon_0a}.
$$

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