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A Dirichlet boundary condition specifies

  • A.the permittivity of the medium at the boundary
  • B.the value of the potential on the boundary
  • C.the normal derivative of the potential on the boundary
  • D.the charge density within the region

Answer: B

A conductor held at a known voltage gives exactly this kind of condition, which is why it is the commonest case in electrostatics. A Neumann condition instead specifies the normal derivative, which corresponds to specifying the surface charge density.

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