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Two similar magnets, each of length 5 cm weighing 50 g-wt made from the magnico alloy developed by the Soviet scientists Zaimovskii and L'vov, are placed freely in a vertical glass tube with like poles facing each other (Fig.). The upper magnet is suspended in air over the lower magnet so that the distance a between the neighbouring poles of the magnets is 3 mm. Find the strength of the poles of these magnets. Will the distant poles affect the distance between the magnets?

  

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Answer: m = 66 e. m. u.

Explanation:

The force of interaction between the neighbouring like poles is F1 = m2/a2; since a < l, the force of interaction between the like poles is approximately F2 = m3/4l2, and the force of interaction between the unlike poles F3 = m2/l2;

The forces F2 and F3 are negligibly small in comparison with F1, and therefore the field strengths can be determined with sufficient accuracy from force F1 . Setting F1 = P, we have 

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