Can the magnetic and electric potentials ($A$ and $φ$) be fixed to zero, or at least some constant value in a region of space? Naively, I'd think something like this might work (a hollow conducting sphere connected to a voltage source connected to ground, would the potentials inside the sphere be constant?):

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1 Answer 1


Yes, in a conductor you have that inside the electric field is zero so $ \boldsymbol{E}= - \nabla \phi=\boldsymbol{0} \rightarrow \phi= \text{constant} $

  • $\begingroup$ Only in static situation, where there are no currents in the conducting objects. $\endgroup$ Oct 20, 2022 at 23:57

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