Two magnets have same magnetic moment but have different lengths. If the field at the same distance from the centre of the magnets on the axial line are measured, which of the following in correct.

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Longer magnet produces stronger field

None

Both fields are equal

Shorter magnet produces stronger field

answer is C.

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Detailed Solution

$F o r a b a r m a g n e t, B = \frac{μ_{o}}{4 π} \frac{2 Md}{{(d^{2} - l^{2})}^{3 / 2}}$

Longer magnet has a greater magnetic dipole moment hence, it will have a greater effect on the field at the point

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