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  4. The magnetic induction of a distance d from the magnetic pole of unknown strength m is B. If an identical pole is now placed at a distance of 2d from the first pole, the force between the two poles is:

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Q. The magnetic induction of a distance d from the magnetic pole of unknown strength m is B. If an identical pole is now placed at a distance of 2d from the first pole, the force between the two poles is:

EAMCETEAMCET 2006

Solution:

$ B=\frac{{{\mu }_{0}}}{4\pi }\frac{m}{{{d}^{2}}} $ $ \therefore $ $ F=mB $ $ =m\times \frac{{{\mu }_{0}}}{4\pi }\frac{m}{{{(2d)}^{2}}} $ $ =\frac{m}{4}B $