How Is the Net Force Between Two Dipoles Calculated?

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The net force between two identical dipoles can be calculated by analyzing the interactions between their constituent charges. Using Coulomb's law, the force exerted by each charge in one dipole on the other dipole is considered. In the limit where the separation distance x is much greater than the dipole separation a, the resulting force magnitude is derived as 6kp^2/x^4, with p representing the dipole moment (p=qa). The nature of the force can be determined to be attractive. This analysis provides a clear understanding of dipole interactions in electrostatics.
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Homework Statement



Two identical dipoles, each of charge q and separation a, are a distance x apart as shown in Fig. By considering forces between pairs of charges in the different dipoles, calculate the net force between the dipoles. (a) Show that, in the limit a<<x, the force has a magnitude of 6kp^2/x^4, where p=qa is the dipole moment. (b) Is the force attractive or repulsive?

Homework Equations



F= kqq/r^2
E= kp/r^3

__|a_|_________|_a|___
--[- +]----------[- +]--
___|______x_____|____

The Attempt at a Solution



Not sure where to start
 
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Use coulomb's law to calculate the force exerted of each of the two charges in one dipole by the other dipole.
 

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