A long magnetic needle of length 2L, magnetic moment M and pole strength m units is broken into two at the middle. The magnetic moment and pole strength of each piece will be
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Pole Strength (m'):
The pole strength (m) is an intrinsic property of the magnetic pole.
When a magnet is broken perpendicular to its length, the pole strength of each new piece remains the same.
Magnetic Moment (M'):
The magnetic moment is 
.
When the magnet is broken at the middle, the new length (l') is half the original length (l): 
.
The new magnetic moment (M') is:
Substituting M back:
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