Are field lines from a magnetic dipole equal in magnitude?

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Magnetic field lines from a magnetic dipole do not maintain equal magnitude throughout their length; instead, field strength varies with density. In a pure dipole field, field strength is equal at symmetric points relative to the north and south poles. However, not all magnetic sources can be accurately modeled as pure dipoles, affecting the approximation of field strength. The concept of drawing a circle from the north to the south pole does not guarantee uniform field strength, as the radius alone is insufficient to determine field value. Overall, the magnetic field lacks spherical symmetry in practical applications.
Luke Cohen
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http://www.physics.sjsu.edu/becker/physics51/images/28_03_Earth_magnetic_field.jpg
If this is your magnetic dipole and you start at the north end and follow a field line to the south end, is the magnetic field equal in magnitude the entire way through?
 
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No. Magnetic field strength is more like the density of field lines.
 
What if you had a magnet and drew a circle from the north to the south pole. This circle had the same radius from the center of the magnet.
 
It depends on how closely the magnetic field is approximated as a pure dipole field.

In a pure dipole field, the field strength is equal in magnitude at points symmetric wrt the N and S poles.

Some magnetic sources are better approximated as pure dipoles than others.
 
Luke Cohen said:
What if you had a magnet and drew a circle from the north to the south pole. This circle had the same radius from the center of the magnet.
The strength of the field does not have spherical symmetry for a magnet.
The radius from the center is not enough to determine the value.
 
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