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Making a charge distribution more compact while keeping its total charge fixed

  • A.leaves the stored energy unchanged
  • B.changes the sign of the stored energy
  • C.increases the stored energy
  • D.decreases the stored energy

Answer: C

Like charges are being pushed closer together against their mutual repulsion, so work must be done and the field energy rises. Taken to the limit of a point charge the energy diverges, which is one of the well known difficulties of the classical theory of the electron and a sign that the point charge is an idealisation.

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