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I am looking for an equation that gives me the potential energy of the interaction between two parallel dipoles.

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This is pretty much formula based. Find the field due to one dipole near the other, then use $U=-\vec p \cdot \vec E$ –  udiboy1209 Jul 24 '13 at 11:15
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I think, according to homework policy, this question is off-topic. –  Mostafa Jul 24 '13 at 11:18

1 Answer 1

Hint:

Interaction energy of two dipoles :

$$U=\frac{1}{4\pi \epsilon_0r^3}\left( \mathbf{p}_1.\mathbf{p}_2-3\left ( \mathbf{p}_1.\hat r )(\mathbf{p}_2.\hat r\right) \right)$$

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