Question
The Electric field at a point is:

Answer

  1. Continuous if there is no charge at that point.
  1. Discontinuous if there is a charge at that point.
(b, d) We cannot define electric field at the position of a charge, so we cannot say that electric field is always continuous.
Hence option (a) is ruled out and option (d) is the correct choice.
The electric field due to any charge will be continuous, if there is no other charge in the medium. It will be discontinuous if there is a charge at the point under consideration, hence option (b) is correct.

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