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Illustration Electric Potential Graph (inside / outside) - Solid sphere

<span>Electric Potential Graph (inside / outside) - Solid sphere</span>
Electric Potential Graph (inside / outside) - Solid sphere
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Electric potential \( \varphi \) of a homogeneously charged sphere as a function of distance \(r\). The sphere has the radius \(R\).

  • Outside (\(r \gt R\)) of the sphere the potential \( \varphi \) is proportional to \(1/r\) as for a point charge.
  • Inside (\(r \lt R\)), on the other hand, the electric potential is proportional to \((a-b\,r^2)\), where \(a\) and \(b\) are constants.