What does the analogy of a bar magnet's and a | vedclass

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(C) The analogy (similarity) between the magnetic field lines of a bar magnet and a solenoid suggests the following:$(i)$ $A$ bar magnet can be modele

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$A$ solenoid behaves like a bar magnet with magnetic poles at its ends.

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(C) The analogy (similarity) between the magnetic field lines of a bar magnet and a solenoid suggests the following:$(i)$ $A$ bar magnet can be modeled as a large number of circulating currents,which is analogous to the current loops in a solenoid.$(ii)$ Cutting a bar magnet in half results in two independent magnets. Similarly,cutting a solenoid in the middle results in two smaller solenoids,each with weaker magnetic properties.$(iii)$ Like a bar magnet,the magnetic field lines in a solenoid are continuous; they emerge from one face (acting as the North pole) and enter the other face (acting as the South pole),forming closed loops.$(iv)$ At a point on the axis,the magnetic field of a solenoid is mathematically analogous to that of a bar magnet,given by $B = \frac{\mu_{0}}{4 \pi} \frac{2m}{r^{3}}$ for large distances.

What does the analogy of a bar magnet's and a solenoid's magnetic field lines suggest?

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