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Doubling the separation of two point charges changes the force between them to

  • A.an eighth of its former value
  • B.a quarter of its former value
  • C.half of its former value
  • D.twice its former value

Answer: B

Correct answer: a quarter of its former value

Coulomb’s law goes as the inverse square, \( F \propto 1/r^2 \), so doubling the separation divides the force by \( 2^2 = 4 \). The eighth offered would apply to an inverse cube, which is the dipole field rather than the point charge force - a distinction the dipole item in this topic makes explicitly.

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