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A point Q lies on the perpendicular bisector of an electrical dipole of dipole moment p. If the distance of Q from the dipole is r (much larger than the size of the dipole), then the electric field at Q is proportional to

1. \( p r^{-1} \) and \( r^{-2} \)
2. \( p \) and \( r^{-2} \)
3. \( p^2 \) and \( r^{-3} \)
4. \( p \) and \( r^{-3} \)

Correct answer: \( p \) and \( r^{-3} \)

Solution

The electric field on the perpendicular bisector of a dipole is proportional to the dipole moment (p) and inversely proportional to the cube of the distance (r³). This is derived from the standard formula for the electric field of a dipole.

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