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At the interface between two media the tangential component of \( \mathbf{E} \) is

  • A.discontinuous by the surface current density
  • B.zero on both sides of the interface
  • C.continuous in all circumstances
  • D.discontinuous by the surface charge density over the permittivity

Answer: C

Faraday's law applied to a shrinking rectangle straddling the boundary gives equal tangential components whatever the medium and whatever the time variation, since the flux through a vanishing area goes to zero. It is the most robust of the four boundary conditions.

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