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Two ideal electric dipoles with moments p1 and p2 are separated by a distance x, and their dipole moments are parallel to each other. The magnitude of the force between them is

1. (1/4πϵ0) · 4p1p2/x⁴
2. (1/4πϵ0) · 3p1p2/x³
3. (1/4πϵ0) · 6p1p2/x⁴
4. (1/4πϵ0) · 8p1p2/x⁴

Correct answer: (1/4πϵ0) · 6p1p2/x⁴

Solution

The correct option is based on the derived formula for the force between two aligned electric dipoles, which shows that the force is proportional to the product of their dipole moments and inversely proportional to the fourth power of the distance between them, resulting in the factor of 6 in the numerator.

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