​ A bar magnet having a magnetic moment vector M is cut into four pieces i.e., ​

Question

A bar magnet having a magnetic moment \(\vec M\) is cut into four pieces i.e., first cut in two pieces along the axis of the magnet and each piece is further cut into two pieces. Compute the magnetic moment of each piece.

Answer 1

Consider a bar magnet of magnetic moment \(\vec M\) . When a bar magnet first cut in two pieces 

Their magnetic moment of each pieces \(\frac{\vec M}{4}\)

Their magnetic moment of each pieces \(\vec M\) new \(\frac{1}{4}\) \(\vec M\)