A cylindrical bar magnet $$($$ radius $$=$$ $$1$$ cm , length $$=$$ $$10$$ cm $$)$$ has field intensity of $$1000$$ $$A/m$$ . The magnetic moment in the bar if permeability of its material is $$6.3$$×$$10$$−$$4H/m$$ is $$----------$$

Question

A cylindrical bar magnet $$($$ radius $$=$$ $$1$$ cm , length $$=$$ $$10$$ cm $$)$$ has field intensity of $$1000$$ $$A/m$$ . The magnetic moment  in the bar if permeability of its material is $$6.3$$×$$10$$−$$4H/m$$  is $$----------$$

Infinity Learn · Accepted Answer

We know  μ$$=$$μ$$0(1+$$χ$$)$$                                    χ$$=$$μμ$$0$$−$$1=6.3$$×$$10$$−$$44$$π×$$10$$−$$7$$−$$1$$ ≃ $$500Intensity$$ of $$magnetizationI=$$χ$$H=500$$ × $$1000=5$$×$$105A/m$$⇒Magnetic moment  (M)=I$$ V                                                 ⇒$$M=I$$$$π$$$$r2L$$⇒$$M=5$$×$$105$$×$$3.14$$×$$(10$$−$$2)2$$×$$(10$$×$$10$$−$$2)⇒$$M=15.70Am2$$

A cylindrical bar magnet ( radius = 1 cm , length = 10 cm ) has field intensity of 1000 A/m . The magnetic moment in the bar if permeability of its material is $6.3 \times 10^{- 4} H / m$ is ----------

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A cylindrical bar magnet ( radius = 1 cm , length = 10 cm ) has field intensity of 1000 A/m . The magnetic moment in the bar if permeability of its material is 6.3×10−4H/m is ----------

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A cylindrical bar magnet ( radius = 1 cm , length = 10 cm ) has field intensity of 1000 A/m . The magnetic moment in the bar if permeability of its material is $6.3 \times 10^{- 4} H / m$ is ----------