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The potential of a dipole varies with distance as

  • A.the inverse first power
  • B.the inverse cube
  • C.a constant
  • D.the inverse square

Answer: D

Correct answer: the inverse square

The two charges of a dipole nearly cancel, so their potentials nearly cancel too, and what survives falls off one power faster than a single charge - as \( 1/r^2 \) rather than \( 1/r \). The field, being the gradient, falls faster still, as \( 1/r^3 \).

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