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PhysicsClassical Physics

Magnetic Field and Magnetic Field Lines: Is Magnitude Constant?

Explain why a single magnetic field line does not generally have constant field magnitude, while recognizing symmetric cases where it does.

Question

Must the magnitude of the magnetic field vector B\mathbf{B} be constant at all points lying on a single magnetic field line?

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Evidence boundary

The original is a qualitative question with no diagram, current, distance, or numerical magnetic field. The bar-magnet discussion and ideal infinite-wire comparison illustrate the general rule and a symmetric exception; they are not supplied experimental data or an assumed geometry of the original question.