Calculating Net Force Between Two Dipoles

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To calculate the net force between two identical dipoles, each with charge q and separation a, at a distance x apart, one must consider the forces between individual charges in the dipoles. The relevant equation for the force between two charges is Coulomb's law, F = k(q1q2)/r^2. In the limit where a is much smaller than x, the resulting force can be expressed as 6kp^2/x^4, with p representing the dipole moment (p = qa). It is advised to keep the charge as q during calculations and work through the algebra to derive the final expression. Understanding these principles is crucial for solving the problem effectively.
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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. Show that, in the limit a<<x, the force has magnitude
6kp^2/x^4, where p=qa is the dipole moment.


Homework Equations


E=2kp/x^3


The Attempt at a Solution


I have no idea where to start T^T
 
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They say to calculate forces between pairs of individual charges.

Which equation gives the force between two charges?
 
I really don't know... I am a 11th grader and I'm asked to do university stuff;;

oops i forgot the diagram

----- (- +) ---------------------------------(- +)----
--------a--------------------x-----------------a

EDIT: You mean kq1q2/r^2 ??
 
Last edited:
K now I understand that you have to use coulomb's law but how on Earth do i find q of one dipole?
 
Yes, use Coulomb's law.

Just leave the charge as q and work through the algebra.
 
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