The ratio of magnetic inductions on the axial line of a bar magnet at distances $$10cm$$ and $$15cm$$ from the center of the magnet are in the ratio $$5.8$$: $$1$$. The distance between the two poles of the magnet is

Question

Infinity Learn · Accepted Answer

For long bar magnet, Baxial $$=$$ μ$$o4$$$$π$$$$2Md(d2$$−$$l2)2$$ ⇒B ∝ $$d(d2$$−$$l2)2$$⇒ $$5.81$$ $$=$$ $$1015$$ $$152$$−$$l2102$$−$$l22$$ ⇒$$8.7$$ (102$$−$$l2)2=$$ $$(152$$−$$l2)2$$ ⇒$$2.95$$ $$(100-l2) $$=$$ (225-l2)⇒$$l2$$ $$=$$ $$295-2252.95-1=701.95$$≃$$36$$ ⇒ $$l=6$$ ⇒Distance between two $$poles=$$ $$2l$$ $$=$$ $$12cm$$

The ratio of magnetic inductions on the axial line of a bar magnet at distances 10cm and 15cm from the center of the magnet are in the ratio 5.8: 1. The distance between the two poles of the magnet is

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