A long magnetic needle of length 2L,magnetic | vedclass

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Question

(C) When a magnetic needle is cut perpendicular to its length into two equal pieces,the pole strength $m$ of each new piece remains the same as the or

Vedclass · Accepted Answer

$\frac{M}{2}, m$

Vedclass · Answer

(C) When a magnetic needle is cut perpendicular to its length into two equal pieces,the pole strength $m$ of each new piece remains the same as the original,because the cross-sectional area of the magnet does not change.The length of each new piece becomes $L' = \frac{2L}{2} = L$.The magnetic moment $M'$ of each new piece is given by the product of its pole strength and its new length:$M' = m 	imes L' = m 	imes L$.Since the original magnetic moment $M = m 	imes (2L) = 2mL$,we can write:$M' = \frac{M}{2}$.Therefore,the magnetic moment of each piece is $\frac{M}{2}$ and the pole strength is $m$.

$A$ long magnetic needle of length $2L$,magnetic moment $M$,and pole strength $m$ is broken into two equal pieces at the middle. The magnetic moment and pole strength of each piece will be

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