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Derive dimensional formula of magnetic pole strength

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Pole strength (m)-

 The strength of a magnetic pole to attract magnetic materials towards itself is known as pole strength.

It is a scalar quantity and it is represented by +m and -m.

It depends on the nature of the material of magnet and area of cross-section i.e, independent from the length.

And

Magnetic dipole moment (\vec{M})  is given as  \vec{M}=mL=m(2l)

And

SI unit of magnetic pole strength(m)  is A m pere \times metre or N / Tesla and dimensions are [LA]

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