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The reasons behind the magnetic field of a neutron star are not clear. Neutron stars are the collapsed core of star of 10 to 30 solar masses. One theory is that the magnetic field of a neutron star is because of the conservation of magnetic flux. If a star had a magnetic flux over its surface and the star then collapsed to a much smaller neutron star but the flux was conserved, then the same flux for the neutron star would be spread over a much smaller area making the magnetic field much stronger. But this explanation goes only partway towards explaining the neutron stars' magnetic field.

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