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At the interface between two dielectrics with no free surface charge, the quantity that is continuous is

  • A.the normal component of \( \mathbf{E} \)
  • B.both components of \( \mathbf{D} \)
  • C.neither component of either field
  • D.the normal component of \( \mathbf{D} \)

Answer: D

Gauss's law applied to a thin box straddling the surface gives equal normal flux on the two sides when no free charge is present. The normal field intensity is therefore discontinuous, in inverse proportion to the permittivities.

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