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Electrostatic energy

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
$$
U=\frac12Q\Phi(a)=\frac{Q^2}{8\pi\epsilon_0a}.
$$


Electrostatic energy of a uniformly charged spherical shell

Past exam of the mathematics course of the University of Cambridge / 2008 / ib / Paper 4 / 7B / ii / Solution

Past exam of the mathematics course of the University of Cambridge / 2019 / ib / Paper 1 / 16A / Solution

Electrostatic energy of a uniformly charged spherical shell

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Electrostatic energy of a uniformly charged spherical shell

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