Electrostatics Question 710

Question: Two point dipoles of dipole moment $ {{\vec{p}} _{1}} $ and $ {{\vec{p}} _{2}} $ are at a distance x from each other and $ {{\vec{p}} _{1}}||{{\vec{p}} _{2}}. $ The force between the dipoles is:

Options:

A) $ \frac{1}{4\pi {\varepsilon _{0}}}\frac{4p _{1}p _{2}}{x^{4}} $

B) $ \frac{1}{4\pi {\varepsilon _{0}}}\frac{3p _{1}p _{2}}{x^{4}} $

C) $ \frac{1}{4\pi {\varepsilon _{0}}}\frac{6p _{1}p _{2}}{x^{4}} $

D) $ \frac{1}{4\pi {\varepsilon _{0}}}\frac{8p _{1}p _{2}}{x^{4}} $

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Answer:

Correct Answer: B

Solution:

[b] Force of interaction $ F=\frac{1}{4\pi {\varepsilon _{0}}}.\frac{3p _{1}p _{2}}{x^{4}} $



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