The mid points of two small magnetic dipoles of length $d$ in end-on positions, are separated by a distance $x$ $(x ≫ d)$ . The magnitude of force between them is proportional to $x^{- n}$ where $n$ is :

Question

The mid points of two small magnetic dipoles of length d in end-on positions, are separated by a distance x x ≫ d . The magnitude of force between them is proportional to x − n where n is :

TestHub · Accepted Answer

B = μ o 4 π 2 M x 3 for end-on position U = − M → . B → = μ o 4 π 2 M 2 x 3 F = − d U d x = − 3 μ o 4 π 2 M 2 x 4 therefore force between them ∝ x - 4

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